TSTP Solution File: SWW359+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW359+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 18:08:21 EDT 2024
% Result : Theorem 192.07s 191.91s
% Output : CNFRefutation 192.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW359+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n022.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 08:02:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.55/0.59 start to proof:theBenchmark
% 191.56/191.75 %-------------------------------------------
% 191.56/191.75 % File :CSE---1.7
% 191.56/191.75 % Problem :theBenchmark
% 191.56/191.75 % Transform :cnf
% 191.56/191.75 % Format :tptp:raw
% 191.56/191.75 % Command :java -jar mcs_scs.jar %d %s
% 191.56/191.75
% 191.56/191.75 % Result :Theorem 171.580000s
% 191.56/191.75 % Output :CNFRefutation 171.580000s
% 191.56/191.75 %-------------------------------------------
% 191.65/191.76 %------------------------------------------------------------------------------
% 191.65/191.76 % File : SWW359+1 : TPTP v8.2.0. Released v5.2.0.
% 191.65/191.76 % Domain : Software Verification
% 191.65/191.76 % Problem : Hoare's Logic with Procedures 435420, 5000 axioms selected
% 191.65/191.76 % Version : Especial.
% 191.65/191.76 % English :
% 191.65/191.76
% 191.65/191.76 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 191.65/191.76 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 191.65/191.76 % Source : [Bla11]
% 191.65/191.76 % Names : hoare_435420.5000.p [Bla11]
% 191.65/191.76
% 191.65/191.76 % Status : ContradictoryAxioms
% 191.65/191.76 % Rating : 0.75 v8.1.0, 0.78 v7.4.0, 0.87 v7.3.0, 0.83 v7.1.0, 0.78 v7.0.0, 0.83 v6.4.0, 0.81 v6.3.0, 0.79 v6.2.0, 0.84 v6.1.0, 0.93 v6.0.0, 0.87 v5.5.0, 0.89 v5.4.0, 0.96 v5.2.0
% 191.65/191.76 % Syntax : Number of formulae : 5227 (1637 unt; 0 def)
% 191.65/191.76 % Number of atoms : 12825 (4424 equ)
% 191.65/191.76 % Maximal formula atoms : 13 ( 2 avg)
% 191.65/191.76 % Number of connectives : 8605 (1007 ~; 155 |; 739 &)
% 191.65/191.76 % ( 911 <=>;5793 =>; 0 <=; 0 <~>)
% 191.65/191.76 % Maximal formula depth : 22 ( 6 avg)
% 191.65/191.76 % Maximal term depth : 19 ( 2 avg)
% 191.65/191.76 % Number of predicates : 149 ( 148 usr; 0 prp; 1-6 aty)
% 191.65/191.76 % Number of functors : 377 ( 377 usr; 50 con; 0-7 aty)
% 191.65/191.76 % Number of variables : 16553 (16396 !; 157 ?)
% 191.65/191.76 % SPC : FOF_CAX_RFO_SEQ
% 191.65/191.77
% 191.65/191.77 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 191.65/191.77 % 2011-03-01 12:32:14
% 191.65/191.77 %------------------------------------------------------------------------------
% 191.65/191.77 %----Relevant facts (4983)
% 191.65/191.77 fof(fact_ext,axiom,
% 191.65/191.77 ! [V_g_2,V_f_2] :
% 191.65/191.77 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 191.65/191.77 => V_f_2 = V_g_2 ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_assms_I3_J,axiom,
% 191.65/191.77 ! [V_G_2,V_c_2] :
% 191.65/191.77 ( v_wt(V_c_2)
% 191.65/191.77 => ( ! [B_x] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
% 191.65/191.77 => 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)))) )
% 191.65/191.77 => 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)))) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_finite__imageI,axiom,
% 191.65/191.77 ! [V_h_2,T_c,V_F_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.65/191.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_finite_OinsertI,axiom,
% 191.65/191.77 ! [V_a_2,V_A_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.65/191.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_finite_OemptyI,axiom,
% 191.65/191.77 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_assms_I2_J,axiom,
% 191.65/191.77 ! [V_G_2,V_pn_2] :
% 191.65/191.77 ( 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))))
% 191.65/191.77 => 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)))) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_image__insert,axiom,
% 191.65/191.77 ! [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)) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_assms_I1_J,axiom,
% 191.65/191.77 ! [V_G_2,V_ts_2] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))
% 191.65/191.77 => v_P(V_G_2,V_ts_2) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_empty__is__image,axiom,
% 191.65/191.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.65/191.77 ( 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)
% 191.65/191.77 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_image__empty,axiom,
% 191.65/191.77 ! [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)) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_image__is__empty,axiom,
% 191.65/191.77 ! [V_A_2,V_f_2,T_b,T_c] :
% 191.65/191.77 ( 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))
% 191.65/191.77 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_finite__insert,axiom,
% 191.65/191.77 ! [V_A_2,V_a_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 191.65/191.77 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_empty__not__insert,axiom,
% 191.65/191.77 ! [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) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_equalityI,axiom,
% 191.65/191.77 ! [V_B_2,V_A_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.65/191.77 => V_A_2 = V_B_2 ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_empty__subsetI,axiom,
% 191.65/191.77 ! [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)) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_subset__refl,axiom,
% 191.65/191.77 ! [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)) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_set__eq__subset,axiom,
% 191.65/191.77 ! [T_b,V_B_2,V_A_2] :
% 191.65/191.77 ( V_A_2 = V_B_2
% 191.65/191.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_equalityD1,axiom,
% 191.65/191.77 ! [T_b,V_B_2,V_A_2] :
% 191.65/191.77 ( V_A_2 = V_B_2
% 191.65/191.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_equalityD2,axiom,
% 191.65/191.77 ! [T_b,V_B_2,V_A_2] :
% 191.65/191.77 ( V_A_2 = V_B_2
% 191.65/191.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_subset__trans,axiom,
% 191.65/191.77 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.65/191.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_equalityE,axiom,
% 191.65/191.77 ! [T_b,V_B_2,V_A_2] :
% 191.65/191.77 ( V_A_2 = V_B_2
% 191.65/191.77 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.77 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_subset__empty,axiom,
% 191.65/191.77 ! [V_A_2,T_b] :
% 191.65/191.77 ( 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))))
% 191.65/191.77 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_finite__subset,axiom,
% 191.65/191.77 ! [V_B_2,V_A_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.65/191.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_rev__finite__subset,axiom,
% 191.65/191.77 ! [V_A_2,V_B_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.65/191.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_insert__mono,axiom,
% 191.65/191.77 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 191.65/191.77 => 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))) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_subset__insertI2,axiom,
% 191.65/191.77 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.77 => 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))) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_subset__insertI,axiom,
% 191.65/191.77 ! [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))) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_image__mono,axiom,
% 191.65/191.77 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.77 => 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))) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_subset__image__iff,axiom,
% 191.65/191.77 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 191.65/191.77 ( 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)))
% 191.65/191.77 <=> ? [B_AA] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 191.65/191.77 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_subset__singletonD,axiom,
% 191.65/191.77 ! [V_x_2,V_A_2,T_b] :
% 191.65/191.77 ( 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)))))
% 191.65/191.77 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.65/191.77 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_finite__surj,axiom,
% 191.65/191.77 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.65/191.77 => ( 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)))
% 191.65/191.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_finite__code,axiom,
% 191.65/191.77 ! [V_A_2,T_b] :
% 191.65/191.77 ( class_Finite__Set_Ofinite(T_b)
% 191.65/191.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_finite,axiom,
% 191.65/191.77 ! [V_A_2,T_b] :
% 191.65/191.77 ( class_Finite__Set_Ofinite(T_b)
% 191.65/191.77 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_insert__code,axiom,
% 191.65/191.77 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 191.65/191.77 <=> ( V_y_2 = V_x_2
% 191.65/191.77 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_insert__commute,axiom,
% 191.65/191.77 ! [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)) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_insert__absorb2,axiom,
% 191.65/191.77 ! [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) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_finite_Oequations_I1_J,axiom,
% 191.65/191.77 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_singleton__inject,axiom,
% 191.65/191.77 ! [V_b_2,V_a_2,T_b] :
% 191.65/191.77 ( 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)))
% 191.65/191.77 => V_a_2 = V_b_2 ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_doubleton__eq__iff,axiom,
% 191.65/191.77 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.65/191.77 ( 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))))
% 191.65/191.77 <=> ( ( V_a_2 = V_c_2
% 191.65/191.77 & V_b_2 = V_d_2 )
% 191.65/191.77 | ( V_a_2 = V_d_2
% 191.65/191.77 & V_b_2 = V_c_2 ) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_insert__not__empty,axiom,
% 191.65/191.77 ! [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)) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_assms_I4_J,axiom,
% 191.65/191.77 ! [V_pn_2] :
% 191.65/191.77 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),v_U))
% 191.65/191.77 => v_wt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2))) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_the__elem__eq,axiom,
% 191.65/191.77 ! [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 ).
% 191.65/191.77
% 191.65/191.77 fof(fact_order__refl,axiom,
% 191.65/191.77 ! [V_x,T_a] :
% 191.65/191.77 ( class_Orderings_Opreorder(T_a)
% 191.65/191.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_bot__apply,axiom,
% 191.65/191.77 ! [V_x_2,T_c,T_b] :
% 191.65/191.77 ( class_Orderings_Obot(T_b)
% 191.65/191.77 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_le__fun__def,axiom,
% 191.65/191.77 ! [V_g_2,V_f_2,T_b,T_c] :
% 191.65/191.77 ( class_Orderings_Oord(T_c)
% 191.65/191.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.65/191.77 <=> ! [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))) ) ) ).
% 191.65/191.77
% 191.65/191.77 fof(fact_le__funD,axiom,
% 191.65/191.77 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 191.65/191.77 ( class_Orderings_Oord(T_c)
% 191.65/191.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.65/191.78 => 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))) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_le__funE,axiom,
% 191.65/191.78 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 191.65/191.78 ( class_Orderings_Oord(T_c)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.65/191.78 => 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))) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_bot__least,axiom,
% 191.65/191.78 ! [V_x,T_a] :
% 191.65/191.78 ( class_Orderings_Obot(T_a)
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 191.65/191.78 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.65/191.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.65/191.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.65/191.78 => 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) ) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 191.65/191.78 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.65/191.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.65/191.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.65/191.78 => 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)) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 191.65/191.78 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.65/191.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.65/191.78 => 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) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 191.65/191.78 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.65/191.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.65/191.78 => 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)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_equalityCE,axiom,
% 191.65/191.78 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 191.65/191.78 ( V_A_2 = V_B_2
% 191.65/191.78 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.65/191.78 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 191.65/191.78 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_emptyE,axiom,
% 191.65/191.78 ! [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)))) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_insertE,axiom,
% 191.65/191.78 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 191.65/191.78 => ( V_a_2 != V_b_2
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_insertCI,axiom,
% 191.65/191.78 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 191.65/191.78 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 191.65/191.78 => V_a_2 = V_b_2 )
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_subsetD,axiom,
% 191.65/191.78 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_image__eqI,axiom,
% 191.65/191.78 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 191.65/191.78 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_mem__def,axiom,
% 191.65/191.78 ! [V_A_2,V_x_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_eqset__imp__iff,axiom,
% 191.65/191.78 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 191.65/191.78 ( V_A_2 = V_B_2
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_eqelem__imp__iff,axiom,
% 191.65/191.78 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 191.65/191.78 ( V_x_2 = V_y_2
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_eq__mem__trans,axiom,
% 191.65/191.78 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 191.65/191.78 ( V_a_2 = V_b_2
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__one__idem_Oidem,axiom,
% 191.65/191.78 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.65/191.78 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 191.65/191.78 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.65/191.78 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__one__idem_Oin__idem,axiom,
% 191.65/191.78 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.65/191.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 191.65/191.78 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.65/191.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 191.65/191.78 => 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) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_all__not__in__conv,axiom,
% 191.65/191.78 ! [V_A_2,T_b] :
% 191.65/191.78 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.65/191.78 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_ex__in__conv,axiom,
% 191.65/191.78 ! [V_A_2,T_b] :
% 191.65/191.78 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.65/191.78 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_empty__iff,axiom,
% 191.65/191.78 ! [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)))) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_equals0D,axiom,
% 191.65/191.78 ! [V_a_2,T_b,V_A_2] :
% 191.65/191.78 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.65/191.78 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_insertI1,axiom,
% 191.65/191.78 ! [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))) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_insert__iff,axiom,
% 191.65/191.78 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 191.65/191.78 <=> ( V_a_2 = V_b_2
% 191.65/191.78 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_insert__ident,axiom,
% 191.65/191.78 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 191.65/191.78 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.65/191.78 => ( 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)
% 191.65/191.78 <=> V_A_2 = V_B_2 ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_insertI2,axiom,
% 191.65/191.78 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_insert__absorb,axiom,
% 191.65/191.78 ! [V_A_2,V_a_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.65/191.78 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_set__mp,axiom,
% 191.65/191.78 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_set__rev__mp,axiom,
% 191.65/191.78 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_in__mono,axiom,
% 191.65/191.78 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_image__iff,axiom,
% 191.65/191.78 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.65/191.78 <=> ? [B_x] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.65/191.78 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_imageI,axiom,
% 191.65/191.78 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => 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))) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_rev__image__eqI,axiom,
% 191.65/191.78 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_singleton__iff,axiom,
% 191.65/191.78 ! [V_a_2,V_b_2,T_b] :
% 191.65/191.78 ( 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)))))
% 191.65/191.78 <=> V_b_2 = V_a_2 ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_singletonE,axiom,
% 191.65/191.78 ! [V_a_2,V_b_2,T_b] :
% 191.65/191.78 ( 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)))))
% 191.65/191.78 => V_b_2 = V_a_2 ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_subset__insert,axiom,
% 191.65/191.78 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 191.65/191.78 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => ( 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)))
% 191.65/191.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_insert__subset,axiom,
% 191.65/191.78 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 191.65/191.78 ( 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))
% 191.65/191.78 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.65/191.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_insert__image,axiom,
% 191.65/191.78 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => 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) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_linorder__le__cases,axiom,
% 191.65/191.78 ! [V_y,V_x,T_a] :
% 191.65/191.78 ( class_Orderings_Olinorder(T_a)
% 191.65/191.78 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_xt1_I6_J,axiom,
% 191.65/191.78 ! [V_z,V_x,V_y,T_a] :
% 191.65/191.78 ( class_Orderings_Oorder(T_a)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_xt1_I5_J,axiom,
% 191.65/191.78 ! [V_x,V_y,T_a] :
% 191.65/191.78 ( class_Orderings_Oorder(T_a)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.65/191.78 => V_x = V_y ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_order__trans,axiom,
% 191.65/191.78 ! [V_z,V_y,V_x,T_a] :
% 191.65/191.78 ( class_Orderings_Opreorder(T_a)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_order__antisym,axiom,
% 191.65/191.78 ! [V_y,V_x,T_a] :
% 191.65/191.78 ( class_Orderings_Oorder(T_a)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.65/191.78 => V_x = V_y ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_xt1_I4_J,axiom,
% 191.65/191.78 ! [V_c,V_a,V_b,T_a] :
% 191.65/191.78 ( class_Orderings_Oorder(T_a)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.65/191.78 => ( V_b = V_c
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_ord__le__eq__trans,axiom,
% 191.65/191.78 ! [V_c,V_b,V_a,T_a] :
% 191.65/191.78 ( class_Orderings_Oord(T_a)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.65/191.78 => ( V_b = V_c
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_xt1_I3_J,axiom,
% 191.65/191.78 ! [V_c,V_b,V_a,T_a] :
% 191.65/191.78 ( class_Orderings_Oorder(T_a)
% 191.65/191.78 => ( V_a = V_b
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_ord__eq__le__trans,axiom,
% 191.65/191.78 ! [V_c,V_b,V_a,T_a] :
% 191.65/191.78 ( class_Orderings_Oord(T_a)
% 191.65/191.78 => ( V_a = V_b
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_order__antisym__conv,axiom,
% 191.65/191.78 ! [V_x_2,V_y_2,T_b] :
% 191.65/191.78 ( class_Orderings_Oorder(T_b)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.65/191.78 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_order__eq__refl,axiom,
% 191.65/191.78 ! [V_y,V_x,T_a] :
% 191.65/191.78 ( class_Orderings_Opreorder(T_a)
% 191.65/191.78 => ( V_x = V_y
% 191.65/191.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_order__eq__iff,axiom,
% 191.65/191.78 ! [V_y_2,V_x_2,T_b] :
% 191.65/191.78 ( class_Orderings_Oorder(T_b)
% 191.65/191.78 => ( V_x_2 = V_y_2
% 191.65/191.78 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.65/191.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_linorder__linear,axiom,
% 191.65/191.78 ! [V_y,V_x,T_a] :
% 191.65/191.78 ( class_Orderings_Olinorder(T_a)
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.65/191.78 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__one_Oinsert,axiom,
% 191.65/191.78 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.65/191.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.65/191.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.65/191.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.65/191.78 => 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)) ) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_finite__subset__induct,axiom,
% 191.65/191.78 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 191.65/191.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 191.65/191.78 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.65/191.78 => ( ! [B_a,B_F] :
% 191.65/191.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 191.65/191.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.65/191.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 191.65/191.78 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 191.65/191.78 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 191.65/191.78 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 191.65/191.78 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 191.65/191.78 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.65/191.78 => ( ! [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))
% 191.65/191.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.65/191.78 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.65/191.78 => 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)) ) ) ) ) ).
% 191.65/191.78
% 191.65/191.78 fof(fact_folding__image__simple_Oinsert,axiom,
% 191.65/191.78 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.65/191.79 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.65/191.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.65/191.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 191.65/191.79 => 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)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_finite__induct,axiom,
% 191.70/191.79 ! [V_Pa_2,V_F_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.70/191.79 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.70/191.79 => ( ! [B_x,B_F] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 191.70/191.79 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 191.70/191.79 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 191.70/191.79 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_subset__insert__iff,axiom,
% 191.70/191.79 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 191.70/191.79 ( 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)))
% 191.70/191.79 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => 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)) )
% 191.70/191.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_diff__single__insert,axiom,
% 191.70/191.79 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 191.70/191.79 ( 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))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => 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))) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_finite__subset__image,axiom,
% 191.70/191.79 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.79 => ( 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)))
% 191.70/191.79 => ? [B_C] :
% 191.70/191.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_C),V_A_2))
% 191.70/191.79 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_C))
% 191.70/191.79 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_C) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fold1Set__sing,axiom,
% 191.70/191.79 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 191.70/191.79 ( 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))
% 191.70/191.79 <=> V_a_2 = V_b_2 ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_folding__one_Osingleton,axiom,
% 191.70/191.79 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 191.70/191.79 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.70/191.79 => 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 ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_image__subsetI,axiom,
% 191.70/191.79 ! [V_B_2,V_f_2,T_c,V_A_2,T_b] :
% 191.70/191.79 ( ! [B_x] :
% 191.70/191.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,B_x)),V_B_2)) )
% 191.70/191.79 => 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)) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_finite_Osimps,axiom,
% 191.70/191.79 ! [V_a_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a_2))
% 191.70/191.79 <=> ( V_a_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.79 | ? [B_A] :
% 191.70/191.79 ( ? [B_a] : V_a_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 191.70/191.79 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_DiffE,axiom,
% 191.70/191.79 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.70/191.79 ( 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)))
% 191.70/191.79 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_DiffI,axiom,
% 191.70/191.79 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 191.70/191.79 => 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))) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_finite__Diff,axiom,
% 191.70/191.79 ! [V_B_2,V_A_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.79 => 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))) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff__idemp,axiom,
% 191.70/191.79 ! [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) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_DiffD2,axiom,
% 191.70/191.79 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.70/191.79 ( 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)))
% 191.70/191.79 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_DiffD1,axiom,
% 191.70/191.79 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.70/191.79 ( 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)))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff__iff,axiom,
% 191.70/191.79 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.70/191.79 ( 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)))
% 191.70/191.79 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.70/191.79 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff__cancel,axiom,
% 191.70/191.79 ! [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)) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff__empty,axiom,
% 191.70/191.79 ! [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 ).
% 191.70/191.79
% 191.70/191.79 fof(fact_empty__Diff,axiom,
% 191.70/191.79 ! [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)) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_finite__Diff2,axiom,
% 191.70/191.79 ! [V_A_2,V_B_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.79 => ( 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)))
% 191.70/191.79 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff__subset,axiom,
% 191.70/191.79 ! [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)) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff__mono,axiom,
% 191.70/191.79 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 191.70/191.79 => 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))) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_double__diff,axiom,
% 191.70/191.79 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.70/191.79 => 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 ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 191.70/191.79 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.79 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.70/191.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.70/191.79 => 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)))))) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_folding__one_Oinsert__remove,axiom,
% 191.70/191.79 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.70/191.79 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.70/191.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.79 => ( ( 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))
% 191.70/191.79 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.70/191.79 & ( 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))
% 191.70/191.79 => 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)))))) ) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_insert__Diff__if,axiom,
% 191.70/191.79 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 191.70/191.79 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.70/191.79 => 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) )
% 191.70/191.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.70/191.79 => 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)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_insert__Diff1,axiom,
% 191.70/191.79 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.70/191.79 => 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) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_insert__Diff__single,axiom,
% 191.70/191.79 ! [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) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff__insert2,axiom,
% 191.70/191.79 ! [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) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff__insert,axiom,
% 191.70/191.79 ! [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)))) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_finite__Diff__insert,axiom,
% 191.70/191.79 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 191.70/191.79 ( 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))))
% 191.70/191.79 <=> 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))) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_image__diff__subset,axiom,
% 191.70/191.79 ! [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)))) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_folding__image__simple_Oempty,axiom,
% 191.70/191.79 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.79 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.70/191.79 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fold1Set__nonempty,axiom,
% 191.70/191.79 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 191.70/191.79 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_empty__fold1SetE,axiom,
% 191.70/191.79 ! [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)) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_folding__image__simple_Oremove,axiom,
% 191.70/191.79 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.79 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.70/191.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 191.70/191.79 => 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)))))) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_folding__one_Oremove,axiom,
% 191.70/191.79 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.70/191.79 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.70/191.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => ( ( 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))
% 191.70/191.79 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 191.70/191.79 & ( 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))
% 191.70/191.79 => 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)))))) ) ) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_insert__Diff,axiom,
% 191.70/191.79 ! [V_A_2,V_a_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.70/191.79 => 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 ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff__insert__absorb,axiom,
% 191.70/191.79 ! [V_A_2,V_x_2,T_b] :
% 191.70/191.79 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => 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 ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_minus__apply,axiom,
% 191.70/191.79 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.70/191.79 ( class_Groups_Ominus(T_b)
% 191.70/191.79 => 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)) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_diff__eq__diff__less__eq,axiom,
% 191.70/191.79 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.70/191.79 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.70/191.79 => ( 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)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.70/191.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_folding__one_Oclosed,axiom,
% 191.70/191.79 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 191.70/191.79 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.70/191.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.79 => ( ! [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))))))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_finite__empty__induct,axiom,
% 191.70/191.79 ! [V_Pa_2,V_A_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.79 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 191.70/191.79 => ( ! [B_a,B_A] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 191.70/191.79 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 191.70/191.79 => 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)))))) ) ) )
% 191.70/191.79 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fold1Set_Ointros,axiom,
% 191.70/191.79 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.70/191.79 => 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)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_psubset__insert__iff,axiom,
% 191.70/191.79 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 191.70/191.79 ( 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)))
% 191.70/191.79 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 191.70/191.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.70/191.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => 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)) )
% 191.70/191.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 191.70/191.79 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => ( 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)
% 191.70/191.79 => 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)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_Diff1__fold__graph,axiom,
% 191.70/191.79 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.79 ( 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))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => 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))) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fun__upd__image,axiom,
% 191.70/191.79 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.70/191.79 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => 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)))))) )
% 191.70/191.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => 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) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_finite__nonempty__imp__fold1Set,axiom,
% 191.70/191.79 ! [V_f_2,V_A_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.79 => ? [B_x1] : hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),B_x1)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_folding__one_Oeq__fold_H,axiom,
% 191.70/191.79 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.70/191.79 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.70/191.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.79 => 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) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fun__upd__triv,axiom,
% 191.70/191.79 ! [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 ).
% 191.70/191.79
% 191.70/191.79 fof(fact_psubset__trans,axiom,
% 191.70/191.79 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.70/191.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fun__upd__idem,axiom,
% 191.70/191.79 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 191.70/191.79 ( hAPP(V_f_2,V_x_2) = V_y_2
% 191.70/191.79 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fun__upd__other,axiom,
% 191.70/191.79 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 191.70/191.79 ( V_z_2 != V_x_2
% 191.70/191.79 => 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) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fun__upd__twist,axiom,
% 191.70/191.79 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 191.70/191.79 ( V_a_2 != V_c_2
% 191.70/191.79 => 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) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fun__upd__apply,axiom,
% 191.70/191.79 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 191.70/191.79 ( ( V_z_2 = V_x_2
% 191.70/191.79 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 191.70/191.79 & ( V_z_2 != V_x_2
% 191.70/191.79 => 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) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fun__upd__same,axiom,
% 191.70/191.79 ! [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 ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fun__upd__upd,axiom,
% 191.70/191.79 ! [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) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fun__upd__idem__iff,axiom,
% 191.70/191.79 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.70/191.79 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 191.70/191.79 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__irrefl,axiom,
% 191.70/191.79 ! [V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Opreorder(T_a)
% 191.70/191.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_linorder__neq__iff,axiom,
% 191.70/191.79 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_b)
% 191.70/191.79 => ( V_x_2 != V_y_2
% 191.70/191.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.70/191.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_not__less__iff__gr__or__eq,axiom,
% 191.70/191.79 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_b)
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.70/191.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 191.70/191.79 | V_x_2 = V_y_2 ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_linorder__less__linear,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 | V_x = V_y
% 191.70/191.79 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_linorder__antisym__conv3,axiom,
% 191.70/191.79 ! [V_x_2,V_y_2,T_b] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_b)
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.70/191.79 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_linorder__neqE,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_a)
% 191.70/191.79 => ( V_x != V_y
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_less__imp__neq,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => V_x != V_y ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__not__sym,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Opreorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__imp__not__less,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Opreorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__imp__not__eq,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => V_x != V_y ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__imp__not__eq2,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => V_y != V_x ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__asym_H,axiom,
% 191.70/191.79 ! [V_b,V_a,T_a] :
% 191.70/191.79 ( class_Orderings_Opreorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_xt1_I9_J,axiom,
% 191.70/191.79 ! [V_a,V_b,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.70/191.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_ord__eq__less__trans,axiom,
% 191.70/191.79 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.79 ( class_Orderings_Oord(T_a)
% 191.70/191.79 => ( V_a = V_b
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_xt1_I1_J,axiom,
% 191.70/191.79 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( V_a = V_b
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_ord__less__eq__trans,axiom,
% 191.70/191.79 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.79 ( class_Orderings_Oord(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.79 => ( V_b = V_c
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_xt1_I2_J,axiom,
% 191.70/191.79 ! [V_c,V_a,V_b,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.70/191.79 => ( V_b = V_c
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__trans,axiom,
% 191.70/191.79 ! [V_z,V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Opreorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_xt1_I10_J,axiom,
% 191.70/191.79 ! [V_z,V_x,V_y,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__asym,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Opreorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_linorder__cases,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_a)
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => ( V_x != V_y
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_diff__eq__diff__less,axiom,
% 191.70/191.79 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.70/191.79 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.70/191.79 => ( 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)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.70/191.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 191.70/191.79 ! [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) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 191.70/191.79 ! [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) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_fold__empty,axiom,
% 191.70/191.79 ! [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 ).
% 191.70/191.79
% 191.70/191.79 fof(fact_less__fun__def,axiom,
% 191.70/191.79 ! [V_g_2,V_f_2,T_b,T_c] :
% 191.70/191.79 ( class_Orderings_Oord(T_c)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.70/191.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.70/191.79 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_xt1_I8_J,axiom,
% 191.70/191.79 ! [V_z,V_x,V_y,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__le__less__trans,axiom,
% 191.70/191.79 ! [V_z,V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Opreorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_xt1_I7_J,axiom,
% 191.70/191.79 ! [V_z,V_x,V_y,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__le__trans,axiom,
% 191.70/191.79 ! [V_z,V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Opreorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_xt1_I11_J,axiom,
% 191.70/191.79 ! [V_a,V_b,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.70/191.79 => ( V_a != V_b
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__le__neq__trans,axiom,
% 191.70/191.79 ! [V_b,V_a,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.79 => ( V_a != V_b
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__le__imp__less__or__eq,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 | V_x = V_y ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_linorder__antisym__conv2,axiom,
% 191.70/191.79 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_b)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.70/191.79 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__less__imp__le,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Opreorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_leD,axiom,
% 191.70/191.79 ! [V_x,V_y,T_a] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_a)
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.70/191.79 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_xt1_I12_J,axiom,
% 191.70/191.79 ! [V_b,V_a,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( V_a != V_b
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_order__neq__le__trans,axiom,
% 191.70/191.79 ! [V_b,V_a,T_a] :
% 191.70/191.79 ( class_Orderings_Oorder(T_a)
% 191.70/191.79 => ( V_a != V_b
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_linorder__antisym__conv1,axiom,
% 191.70/191.79 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_b)
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.70/191.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.70/191.79 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_not__leE,axiom,
% 191.70/191.79 ! [V_x,V_y,T_a] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_a)
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.70/191.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 191.70/191.79
% 191.70/191.79 fof(fact_leI,axiom,
% 191.70/191.79 ! [V_y,V_x,T_a] :
% 191.70/191.79 ( class_Orderings_Olinorder(T_a)
% 191.70/191.79 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_order__le__less,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.80 ( class_Orderings_Oorder(T_b)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.70/191.80 | V_x_2 = V_y_2 ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__le__not__le,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.80 ( class_Orderings_Opreorder(T_b)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.70/191.80 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_order__less__le,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.80 ( class_Orderings_Oorder(T_b)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.70/191.80 & V_x_2 != V_y_2 ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_linorder__le__less__linear,axiom,
% 191.70/191.80 ! [V_y,V_x,T_a] :
% 191.70/191.80 ( class_Orderings_Olinorder(T_a)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.70/191.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_linorder__not__le,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.80 ( class_Orderings_Olinorder(T_b)
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_linorder__not__less,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.80 ( class_Orderings_Olinorder(T_b)
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_psubsetD,axiom,
% 191.70/191.80 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_not__psubset__empty,axiom,
% 191.70/191.80 ! [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)))) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_subset__psubset__trans,axiom,
% 191.70/191.80 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_psubset__subset__trans,axiom,
% 191.70/191.80 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_psubset__imp__subset,axiom,
% 191.70/191.80 ! [V_B_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_subset__iff__psubset__eq,axiom,
% 191.70/191.80 ! [V_B_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 | V_A_2 = V_B_2 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_psubset__eq,axiom,
% 191.70/191.80 ! [V_B_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 & V_A_2 != V_B_2 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 191.70/191.80 ! [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)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__graph_OemptyI,axiom,
% 191.70/191.80 ! [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)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_empty__fold__graphE,axiom,
% 191.70/191.80 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( 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))
% 191.70/191.80 => V_x_2 = V_z_2 ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__graph__imp__finite,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 191.70/191.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__graph_OinsertI,axiom,
% 191.70/191.80 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.70/191.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 191.70/191.80 => 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))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__eq__diff__eq,axiom,
% 191.70/191.80 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.70/191.80 ( class_Groups_Oab__group__add(T_b)
% 191.70/191.80 => ( 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)
% 191.70/191.80 => ( V_a_2 = V_b_2
% 191.70/191.80 <=> V_c_2 = V_d_2 ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 191.70/191.80 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 191.70/191.80 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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)))))) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 191.70/191.80 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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)))))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 191.70/191.80 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 191.70/191.80 ( 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))
% 191.70/191.80 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.80 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 191.70/191.80 | ? [B_x,B_y] :
% 191.70/191.80 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 191.70/191.80 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 191.70/191.80 & 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) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 191.70/191.80 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 191.70/191.80 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold1Set_Oequations,axiom,
% 191.70/191.80 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 191.70/191.80 ( 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))
% 191.70/191.80 <=> ? [B_a,B_A] :
% 191.70/191.80 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 191.70/191.80 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 191.70/191.80 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_insert__fold1SetE,axiom,
% 191.70/191.80 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 191.70/191.80 ( 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))
% 191.70/191.80 => ~ ! [B_a,B_A] :
% 191.70/191.80 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 191.70/191.80 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 191.70/191.80 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__graph__permute__diff,axiom,
% 191.70/191.80 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 191.70/191.80 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.70/191.80 => ( 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))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.70/191.80 => 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)) ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 191.70/191.80 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 191.70/191.80 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.80 ( class_Groups_Oab__semigroup__mult(T_a)
% 191.70/191.80 => 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)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_mult__left__idem,axiom,
% 191.70/191.80 ! [V_b,V_a,T_a] :
% 191.70/191.80 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 191.70/191.80 => 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) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_mult__idem,axiom,
% 191.70/191.80 ! [V_x,T_a] :
% 191.70/191.80 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 191.70/191.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_times_Oidem,axiom,
% 191.70/191.80 ! [V_a,T_a] :
% 191.70/191.80 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 191.70/191.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 191.70/191.80 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => 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)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm__idem,axiom,
% 191.70/191.80 ! [T_b] :
% 191.70/191.80 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.70/191.80 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm,axiom,
% 191.70/191.80 ! [T_b] :
% 191.70/191.80 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.70/191.80 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 191.70/191.80 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.70/191.80 => 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) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm__idem__insert,axiom,
% 191.70/191.80 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 191.70/191.80 => V_y_2 = V_x_2 ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__graph__insert__swap,axiom,
% 191.70/191.80 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 191.70/191.80 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.70/191.80 => ( 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))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.70/191.80 => 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))) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 191.70/191.80 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 191.70/191.80 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 191.70/191.80 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 191.70/191.80 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.70/191.80 => ? [B_y_H] :
% 191.70/191.80 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 191.70/191.80 & 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)) ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold1__eq__fold,axiom,
% 191.70/191.80 ! [V_a_2,V_A_2,T_b] :
% 191.70/191.80 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.70/191.80 => 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) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold1__insert,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.70/191.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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)) ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 191.70/191.80 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.80 => ( 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))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => ~ ! [B_y] :
% 191.70/191.80 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 191.70/191.80 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__Diff2__less,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.70/191.80 => 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))) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__Diff1__less,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold1__eq__fold__idem,axiom,
% 191.70/191.80 ! [V_a_2,V_A_2,T_b] :
% 191.70/191.80 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold1__insert__idem,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.70/191.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__insert,axiom,
% 191.70/191.80 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 191.70/191.80 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 & ~ 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))))))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__image__insert,axiom,
% 191.70/191.80 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 191.70/191.80 ( class_Groups_Oab__semigroup__mult(T_c)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.70/191.80 => 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)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_psubset__imp__ex__mem,axiom,
% 191.70/191.80 ! [V_B_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => ? [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))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__empty,axiom,
% 191.70/191.80 ! [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))) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_pigeonhole,axiom,
% 191.70/191.80 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( 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)))
% 191.70/191.80 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__image,axiom,
% 191.70/191.80 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => 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) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__def,axiom,
% 191.70/191.80 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 <=> ! [B_x] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.70/191.80 => ! [B_xa] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.70/191.80 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 191.70/191.80 => B_x = B_xa ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__iff__eq__card,axiom,
% 191.70/191.80 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 <=> 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) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_eq__card__imp__inj__on,axiom,
% 191.70/191.80 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( 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)
% 191.70/191.80 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__onD,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.70/191.80 => V_x_2 = V_y_2 ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__iff,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.70/191.80 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.70/191.80 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__contraD,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( V_x_2 != V_y_2
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.70/191.80 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_subset__inj__on,axiom,
% 191.70/191.80 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__diff,axiom,
% 191.70/191.80 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => 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)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__image__empty,axiom,
% 191.70/191.80 ! [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 ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__inj__on__le,axiom,
% 191.70/191.80 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( 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))
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.70/191.80 => 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))) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__bij__eq,axiom,
% 191.70/191.80 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( 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))
% 191.70/191.80 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 191.70/191.80 => ( 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))
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.70/191.80 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_finite__imageD,axiom,
% 191.70/191.80 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.70/191.80 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 191.70/191.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__insert__le,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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)))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__seteq,axiom,
% 191.70/191.80 ! [V_A_2,V_B_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => ( 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)))
% 191.70/191.80 => V_A_2 = V_B_2 ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__mono,axiom,
% 191.70/191.80 ! [V_A_2,V_B_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => 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))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__image__le,axiom,
% 191.70/191.80 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__card__le__card__Diff,axiom,
% 191.70/191.80 ! [V_A_2,V_B_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.80 => 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)))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__strict__subset,axiom,
% 191.70/191.80 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => 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))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_psubset__card__mono,axiom,
% 191.70/191.80 ! [V_A_2,V_B_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => 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))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold1__singleton,axiom,
% 191.70/191.80 ! [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 ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold1__singleton__def,axiom,
% 191.70/191.80 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 191.70/191.80 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 191.70/191.80 => 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 ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 191.70/191.80 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.70/191.80 => 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) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_finite__surj__inj,axiom,
% 191.70/191.80 ! [V_f_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( 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)))
% 191.70/191.80 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_endo__inj__surj,axiom,
% 191.70/191.80 ! [V_f_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( 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))
% 191.70/191.80 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 191.70/191.80 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__image__set__diff,axiom,
% 191.70/191.80 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.70/191.80 => 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)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_folding__one_Oeq__fold,axiom,
% 191.70/191.80 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 191.70/191.80 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__fun__updI,axiom,
% 191.70/191.80 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.70/191.80 => 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) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__Diff__subset,axiom,
% 191.70/191.80 ! [V_A_2,V_B_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.70/191.80 => 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)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__psubset,axiom,
% 191.70/191.80 ! [V_A_2,V_B_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => ( 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)))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__Diff1__le,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__iff__card__le,axiom,
% 191.70/191.80 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.70/191.80 => ( ? [B_f] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 191.70/191.80 & 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)) )
% 191.70/191.80 <=> 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))) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__iff__surj,axiom,
% 191.70/191.80 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 191.70/191.80 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.80 => ( ? [B_f] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 191.70/191.80 & 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)) )
% 191.70/191.80 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold1__in,axiom,
% 191.70/191.80 ! [V_A_2,T_b] :
% 191.70/191.80 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.80 => ( ! [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))))))
% 191.70/191.80 => 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)) ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_the__inv__into__into,axiom,
% 191.70/191.80 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.80 => 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)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_hom__fold1__commute,axiom,
% 191.70/191.80 ! [V_N_2,V_h_2,T_b] :
% 191.70/191.80 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.70/191.80 => ( ! [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))
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.70/191.80 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.80 => 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)) ) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__Diff__singleton,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__Diff__singleton__if,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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)) )
% 191.70/191.80 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__Suc__Diff1,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__Diff__insert,axiom,
% 191.70/191.80 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 191.70/191.80 => 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)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_fold__image__cong,axiom,
% 191.70/191.80 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.70/191.80 ( class_Groups_Oab__semigroup__mult(T_c)
% 191.70/191.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( ! [B_x] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.70/191.80 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 191.70/191.80 => 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) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__insert,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => 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)))))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_one__reorient,axiom,
% 191.70/191.80 ! [V_x_2,T_b] :
% 191.70/191.80 ( class_Groups_Oone(T_b)
% 191.70/191.80 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 191.70/191.80 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 191.70/191.80 ! [V_N_2] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 191.70/191.80 <=> ? [B_m] :
% 191.70/191.80 ! [B_x] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_mult_Ocomm__neutral,axiom,
% 191.70/191.80 ! [V_a,T_a] :
% 191.70/191.80 ( class_Groups_Ocomm__monoid__mult(T_a)
% 191.70/191.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_mult__1__right,axiom,
% 191.70/191.80 ! [V_a,T_a] :
% 191.70/191.80 ( class_Groups_Omonoid__mult(T_a)
% 191.70/191.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_mult__1,axiom,
% 191.70/191.80 ! [V_a,T_a] :
% 191.70/191.80 ( class_Groups_Ocomm__monoid__mult(T_a)
% 191.70/191.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_mult__1__left,axiom,
% 191.70/191.80 ! [V_a,T_a] :
% 191.70/191.80 ( class_Groups_Omonoid__mult(T_a)
% 191.70/191.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_finite__nat__set__iff__bounded,axiom,
% 191.70/191.80 ! [V_N_2] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 191.70/191.80 <=> ? [B_m] :
% 191.70/191.80 ! [B_x] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_the__inv__into__f__f,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_the__inv__into__f__eq,axiom,
% 191.70/191.80 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_the__inv__into__onto,axiom,
% 191.70/191.80 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => 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 ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__on__the__inv__into,axiom,
% 191.70/191.80 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => 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)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__insert__disjoint,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_card__insert__if,axiom,
% 191.70/191.80 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.80 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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) )
% 191.70/191.80 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.80 => 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)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_f__the__inv__into__f,axiom,
% 191.70/191.80 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.70/191.80 => 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 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_lessI,axiom,
% 191.70/191.80 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__mono,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 191.70/191.80 ! [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) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__Suc__1,axiom,
% 191.70/191.80 ! [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 ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__diff__iff,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 191.70/191.80 => ( 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)))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__less__mono,axiom,
% 191.70/191.80 ! [V_c,V_b,V_a] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 191.70/191.80 => 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))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__diff__le,axiom,
% 191.70/191.80 ! [V_m,V_n] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.70/191.80 => 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)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__less__Suc,axiom,
% 191.70/191.80 ! [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))) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__eq__Suc__le,axiom,
% 191.70/191.80 ! [V_m_2,V_na_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__Suc__eq__le,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__mult__cancel1,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.80 ( 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)
% 191.70/191.80 <=> V_m_2 = V_na_2 ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__inject,axiom,
% 191.70/191.80 ! [V_y,V_x] :
% 191.70/191.80 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 191.70/191.80 => V_x = V_y ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_nat_Oinject,axiom,
% 191.70/191.80 ! [V_nat_H_2,V_nat_2] :
% 191.70/191.80 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 191.70/191.80 <=> V_nat_2 = V_nat_H_2 ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__n__not__n,axiom,
% 191.70/191.80 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 191.70/191.80
% 191.70/191.80 fof(fact_n__not__Suc__n,axiom,
% 191.70/191.80 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_inj__Suc,axiom,
% 191.70/191.80 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_nat__less__cases,axiom,
% 191.70/191.80 ! [V_Pa_2,V_na_2,V_m_2] :
% 191.70/191.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 191.70/191.80 => ( ( V_m_2 = V_na_2
% 191.70/191.80 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 191.70/191.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 191.70/191.80 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 191.70/191.80 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__not__refl3,axiom,
% 191.70/191.80 ! [V_t,V_s] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 191.70/191.80 => V_s != V_t ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__not__refl2,axiom,
% 191.70/191.80 ! [V_m,V_n] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 191.70/191.80 => V_m != V_n ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__irrefl__nat,axiom,
% 191.70/191.80 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_linorder__neqE__nat,axiom,
% 191.70/191.80 ! [V_y,V_x] :
% 191.70/191.80 ( V_x != V_y
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_nat__neq__iff,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( V_m_2 != V_na_2
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__not__refl,axiom,
% 191.70/191.80 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__square,axiom,
% 191.70/191.80 ! [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))) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__cube,axiom,
% 191.70/191.80 ! [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)))) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_mult__le__mono1,axiom,
% 191.70/191.80 ! [V_k,V_j,V_i] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.70/191.80 => 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))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_mult__le__mono2,axiom,
% 191.70/191.80 ! [V_k,V_j,V_i] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.70/191.80 => 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))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_mult__le__mono,axiom,
% 191.70/191.80 ! [V_l,V_k,V_j,V_i] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 191.70/191.80 => 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))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__antisym,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.70/191.80 => V_m = V_n ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__trans,axiom,
% 191.70/191.80 ! [V_k,V_j,V_i] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_eq__imp__le,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( V_m = V_n
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_nat__le__linear,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__refl,axiom,
% 191.70/191.80 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__mult__distrib2,axiom,
% 191.70/191.80 ! [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)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__mult__distrib,axiom,
% 191.70/191.80 ! [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)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__commute,axiom,
% 191.70/191.80 ! [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) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_nat__mult__1,axiom,
% 191.70/191.80 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 191.70/191.80
% 191.70/191.80 fof(fact_nat__1__eq__mult__iff,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)
% 191.70/191.80 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.70/191.80 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_nat__mult__1__right,axiom,
% 191.70/191.80 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 191.70/191.80
% 191.70/191.80 fof(fact_nat__mult__eq__1__iff,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.70/191.80 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.70/191.80 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__less__SucD,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__lessD,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__SucE,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => V_m = V_n ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__trans__Suc,axiom,
% 191.70/191.80 ! [V_k,V_j,V_i] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__lessI,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__SucI,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__antisym,axiom,
% 191.70/191.80 ! [V_m,V_n] :
% 191.70/191.80 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 191.70/191.80 => V_m = V_n ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_not__less__less__Suc__eq,axiom,
% 191.70/191.80 ! [V_m_2,V_na_2] :
% 191.70/191.80 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 191.70/191.80 <=> V_na_2 = V_m_2 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__mult__less__cancel1,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.80 ( 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)))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__less__eq,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( 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)))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__Suc__eq,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 | V_m_2 = V_na_2 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_not__less__eq,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__mult__le__cancel1,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.80 ( 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)))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__leD,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__SucE,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 191.70/191.80 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__SucI,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__le__mono,axiom,
% 191.70/191.80 ! [V_m_2,V_na_2] :
% 191.70/191.80 ( 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)))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__Suc__eq,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_not__less__eq__eq,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__n__not__le__n,axiom,
% 191.70/191.80 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__or__eq__imp__le,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 | V_m = V_n )
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__neq__implies__less,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => ( V_m != V_n
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__imp__le__nat,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__eq__less__or__eq,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 | V_m_2 = V_na_2 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_nat__less__le,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 & V_m_2 != V_na_2 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__diff__diff,axiom,
% 191.70/191.80 ! [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) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__Suc__Suc,axiom,
% 191.70/191.80 ! [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) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__imp__diff__less,axiom,
% 191.70/191.80 ! [V_n,V_k,V_j] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 191.70/191.80 => 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)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__less__mono2,axiom,
% 191.70/191.80 ! [V_l,V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 191.70/191.80 => 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))) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__diff__iff,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 191.70/191.80 => ( 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)))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Nat_Odiff__diff__eq,axiom,
% 191.70/191.80 ! [V_n,V_m,V_k] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 191.70/191.80 => 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) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_eq__diff__iff,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 191.70/191.80 => ( 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)
% 191.70/191.80 <=> V_m_2 = V_na_2 ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__diff__cancel,axiom,
% 191.70/191.80 ! [V_n,V_i] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 191.70/191.80 => 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 ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__le__mono,axiom,
% 191.70/191.80 ! [V_l,V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => 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))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__le__mono2,axiom,
% 191.70/191.80 ! [V_l,V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => 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))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_diff__le__self,axiom,
% 191.70/191.80 ! [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)) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__le__lessD,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__less__Suc__eq,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 191.70/191.80 <=> V_na_2 = V_m_2 ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__leI,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_le__imp__less__Suc,axiom,
% 191.70/191.80 ! [V_n,V_m] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_Suc__le__eq,axiom,
% 191.70/191.80 ! [V_na_2,V_m_2] :
% 191.70/191.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 191.70/191.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_less__1__mult,axiom,
% 191.70/191.80 ! [V_n,V_m,T_a] :
% 191.70/191.80 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 191.70/191.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 191.70/191.80 => 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))) ) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 191.70/191.80 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 191.70/191.80 ( 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)))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 191.70/191.80 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 191.70/191.80
% 191.70/191.80 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 191.70/191.80 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 191.70/191.80 ( 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)))
% 191.70/191.80 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 191.70/191.80 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 191.70/191.80
% 191.70/191.81 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 191.70/191.81 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 191.70/191.81 ( 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)))
% 191.70/191.81 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 191.70/191.81 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 191.70/191.81 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 191.70/191.81 ( 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)))
% 191.70/191.81 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 191.70/191.81 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_ord_OgreaterThan__iff,axiom,
% 191.70/191.81 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_ord_OlessThan__iff,axiom,
% 191.70/191.81 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_ord_OatLeast__iff,axiom,
% 191.70/191.81 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_ord_OatMost__iff,axiom,
% 191.70/191.81 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_card_Oremove,axiom,
% 191.70/191.81 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.81 => 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)))))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__mult__commute,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__mult__distrib2,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__mult__assoc,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__mult__distrib,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__add__right__cancel,axiom,
% 191.70/191.81 ! [V_na_2,V_k_2,V_m_2] :
% 191.70/191.81 ( 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)
% 191.70/191.81 <=> V_m_2 = V_na_2 ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__add__left__cancel,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.81 ( 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)
% 191.70/191.81 <=> V_m_2 = V_na_2 ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__add__assoc,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__add__left__commute,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__add__commute,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__right__imp__eq,axiom,
% 191.70/191.81 ! [V_c,V_a,V_b,T_a] :
% 191.70/191.81 ( class_Groups_Ocancel__semigroup__add(T_a)
% 191.70/191.81 => ( 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)
% 191.70/191.81 => V_b = V_c ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__imp__eq,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 191.70/191.81 => ( 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)
% 191.70/191.81 => V_b = V_c ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__left__imp__eq,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Ocancel__semigroup__add(T_a)
% 191.70/191.81 => ( 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)
% 191.70/191.81 => V_b = V_c ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__right__cancel,axiom,
% 191.70/191.81 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 191.70/191.81 ( class_Groups_Ocancel__semigroup__add(T_b)
% 191.70/191.81 => ( 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)
% 191.70/191.81 <=> V_b_2 = V_c_2 ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__left__cancel,axiom,
% 191.70/191.81 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Ocancel__semigroup__add(T_b)
% 191.70/191.81 => ( 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)
% 191.70/191.81 <=> V_b_2 = V_c_2 ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oab__semigroup__add(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__class_Odistrib,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_combine__common__factor,axiom,
% 191.70/191.81 ! [V_c,V_b,V_e,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Osemiring(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__le__cancel__right,axiom,
% 191.70/191.81 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__le__cancel__left,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__right__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.81 => 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__left__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.81 => 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__mono,axiom,
% 191.70/191.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__le__imp__le__right,axiom,
% 191.70/191.81 ! [V_b,V_c,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__le__imp__le__left,axiom,
% 191.70/191.81 ! [V_b,V_a,V_c,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__less__cancel__right,axiom,
% 191.70/191.81 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__less__cancel__left,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__strict__right__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.81 => 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__strict__left__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.81 => 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__strict__mono,axiom,
% 191.70/191.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__less__imp__less__right,axiom,
% 191.70/191.81 ! [V_b,V_c,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__less__imp__less__left,axiom,
% 191.70/191.81 ! [V_b,V_a,V_c,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__add__cancel,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Ogroup__add(T_a)
% 191.70/191.81 => 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 ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__diff__cancel,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Ogroup__add(T_a)
% 191.70/191.81 => 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 ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__Suc__right,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__Suc,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__Suc__shift,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__Suc,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__Suc__right,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_not__add__less1,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_not__add__less2,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__add__left__cancel__less,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.81 ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_trans__less__add1,axiom,
% 191.70/191.81 ! [V_m,V_j,V_i] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_trans__less__add2,axiom,
% 191.70/191.81 ! [V_m,V_j,V_i] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__less__mono1,axiom,
% 191.70/191.81 ! [V_k,V_j,V_i] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__less__mono,axiom,
% 191.70/191.81 ! [V_l,V_k,V_j,V_i] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 191.70/191.81 => 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__add__eq__less,axiom,
% 191.70/191.81 ! [V_n,V_m,V_l,V_k] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 191.70/191.81 => ( 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)
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__lessD1,axiom,
% 191.70/191.81 ! [V_k,V_j,V_i] :
% 191.70/191.81 ( 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))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__add2,axiom,
% 191.70/191.81 ! [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))) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__add1,axiom,
% 191.70/191.81 ! [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))) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__iff__add,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.81 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__add__left__cancel__le,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.81 ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_trans__le__add1,axiom,
% 191.70/191.81 ! [V_m,V_j,V_i] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_trans__le__add2,axiom,
% 191.70/191.81 ! [V_m,V_j,V_i] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__le__mono1,axiom,
% 191.70/191.81 ! [V_k,V_j,V_i] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__le__mono,axiom,
% 191.70/191.81 ! [V_l,V_k,V_j,V_i] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 191.70/191.81 => 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__leD2,axiom,
% 191.70/191.81 ! [V_n,V_k,V_m] :
% 191.70/191.81 ( 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))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__leD1,axiom,
% 191.70/191.81 ! [V_n,V_k,V_m] :
% 191.70/191.81 ( 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))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__leE,axiom,
% 191.70/191.81 ! [V_n,V_k,V_m] :
% 191.70/191.81 ( 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))
% 191.70/191.81 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.81 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__add__inverse2,axiom,
% 191.70/191.81 ! [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 ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__add__inverse,axiom,
% 191.70/191.81 ! [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 ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__diff__left,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__cancel,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__cancel2,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__add__one,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.81 => 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)))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_eq__add__iff2,axiom,
% 191.70/191.81 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Oring(T_b)
% 191.70/191.81 => ( 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)
% 191.70/191.81 <=> 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) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_eq__add__iff1,axiom,
% 191.70/191.81 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Oring(T_b)
% 191.70/191.81 => ( 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)
% 191.70/191.81 <=> 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 ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__less__le__mono,axiom,
% 191.70/191.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__le__less__mono,axiom,
% 191.70/191.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__add__iff2,axiom,
% 191.70/191.81 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Oordered__ring(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__add__iff1,axiom,
% 191.70/191.81 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Oordered__ring(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> 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)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__add__iff1,axiom,
% 191.70/191.81 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Oordered__ring(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> 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)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__add__iff2,axiom,
% 191.70/191.81 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Oordered__ring(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__iff__Suc__add,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 191.70/191.81 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__add__Suc2,axiom,
% 191.70/191.81 ! [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)))) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__add__Suc1,axiom,
% 191.70/191.81 ! [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)))) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__diff__inverse,axiom,
% 191.70/191.81 ! [V_n,V_m] :
% 191.70/191.81 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.81 => 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 ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__diff__conv,axiom,
% 191.70/191.81 ! [V_k_2,V_j_2,V_i_2] :
% 191.70/191.81 ( 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)))
% 191.70/191.81 <=> 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__diff__right,axiom,
% 191.70/191.81 ! [V_i,V_j,V_k] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__diff__conv,axiom,
% 191.70/191.81 ! [V_i_2,V_k_2,V_j_2] :
% 191.70/191.81 ( 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))
% 191.70/191.81 <=> 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__add__diff,axiom,
% 191.70/191.81 ! [V_m,V_n,V_k] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__add__diff__inverse,axiom,
% 191.70/191.81 ! [V_m,V_n] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.70/191.81 => 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 ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__diff__assoc,axiom,
% 191.70/191.81 ! [V_i,V_j,V_k] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__diff__conv2,axiom,
% 191.70/191.81 ! [V_i_2,V_j_2,V_k_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> 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)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__add__diff__inverse2,axiom,
% 191.70/191.81 ! [V_m,V_n] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.70/191.81 => 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 ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__imp__diff__is__add,axiom,
% 191.70/191.81 ! [V_k_2,V_j_2,V_i_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.70/191.81 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 191.70/191.81 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__add__assoc,axiom,
% 191.70/191.81 ! [V_i,V_j,V_k] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__diff__assoc2,axiom,
% 191.70/191.81 ! [V_i,V_j,V_k] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__add__assoc2,axiom,
% 191.70/191.81 ! [V_i,V_j,V_k] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_Suc__eq__plus1__left,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_Suc__eq__plus1,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__Suc__diff__eq1,axiom,
% 191.70/191.81 ! [V_m,V_j,V_k] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__Suc__diff__eq2,axiom,
% 191.70/191.81 ! [V_m,V_j,V_k] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_linorder__neqE__linordered__idom,axiom,
% 191.70/191.81 ! [V_y,V_x,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__idom(T_a)
% 191.70/191.81 => ( V_x != V_y
% 191.70/191.81 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_card_Oinsert,axiom,
% 191.70/191.81 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.81 => 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)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_card_Oinsert__remove,axiom,
% 191.70/191.81 ! [V_x_2,V_A_2,T_b] :
% 191.70/191.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.81 => 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)))))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__less__add__iff1,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> 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)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__less__add__iff2,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__le__add__iff1,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> 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)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__diff__add__eq1,axiom,
% 191.70/191.81 ! [V_n,V_m,V_u,V_i,V_j] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__eq__add__iff1,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 191.70/191.81 => ( 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)
% 191.70/191.81 <=> 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 ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__le__add__iff2,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> 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),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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__diff__add__eq2,axiom,
% 191.70/191.81 ! [V_n,V_m,V_u,V_j,V_i] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__eq__add__iff2,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.70/191.81 => ( 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)
% 191.70/191.81 <=> 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) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 191.70/191.81 ! [V_m,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 191.70/191.81 ! [V_a,V_m,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 191.70/191.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 191.70/191.81 ! [V_d,V_c,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 191.70/191.81 ! [V_d,V_c,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 191.70/191.81 ! [V_c,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 191.70/191.81 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 191.70/191.81 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 191.70/191.81 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 191.70/191.81 ! [V_rx,V_ly,V_lx,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 191.70/191.81 ! [V_rx,V_ly,V_lx,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 191.70/191.81 ! [V_ry,V_rx,V_lx,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 191.70/191.81 ! [V_ry,V_rx,V_lx,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_crossproduct__eq,axiom,
% 191.70/191.81 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 191.70/191.81 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 191.70/191.81 => ( 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))
% 191.70/191.81 <=> ( V_w_2 = V_x_2
% 191.70/191.81 | V_y_2 = V_z_2 ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 191.70/191.81 ! [V_b,V_m,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_crossproduct__noteq,axiom,
% 191.70/191.81 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 191.70/191.81 => ( ( V_a_2 != V_b_2
% 191.70/191.81 & V_c_2 != V_d_2 )
% 191.70/191.81 <=> 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)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 191.70/191.81 ! [V_z,V_y,V_x,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_left__add__mult__distrib,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 191.70/191.81 ! [V_m,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_termination__basic__simps_I4_J,axiom,
% 191.70/191.81 ! [V_y,V_z,V_x] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_termination__basic__simps_I3_J,axiom,
% 191.70/191.81 ! [V_z,V_y,V_x] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_termination__basic__simps_I5_J,axiom,
% 191.70/191.81 ! [V_y,V_x] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_termination__basic__simps_I2_J,axiom,
% 191.70/191.81 ! [V_y,V_z,V_x] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_termination__basic__simps_I1_J,axiom,
% 191.70/191.81 ! [V_z,V_y,V_x] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_convex__bound__lt,axiom,
% 191.70/191.81 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 191.70/191.81 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 191.70/191.81 => 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)) ) ) ) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_fold__image__1,axiom,
% 191.70/191.81 ! [V_f_2,V_S_2,T_b,T_c] :
% 191.70/191.81 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.70/191.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.70/191.81 => ( ! [B_x] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.70/191.81 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.70/191.81 => 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) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_card__Plus,axiom,
% 191.70/191.81 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.70/191.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.70/191.81 => 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)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_fold__image__reindex,axiom,
% 191.70/191.81 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 191.70/191.81 ( class_Groups_Oab__semigroup__mult(T_d)
% 191.70/191.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.81 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 191.70/191.81 => 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) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__zeroE,axiom,
% 191.70/191.81 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le0,axiom,
% 191.70/191.81 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__less__Suc,axiom,
% 191.70/191.81 ! [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))) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_o__eq__elim,axiom,
% 191.70/191.81 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 191.70/191.81 ( 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)
% 191.70/191.81 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_o__eq__dest,axiom,
% 191.70/191.81 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 191.70/191.81 ( 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)
% 191.70/191.81 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_o__apply,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_o__assoc,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__reorient,axiom,
% 191.70/191.81 ! [V_x_2,T_b] :
% 191.70/191.81 ( class_Groups_Ozero(T_b)
% 191.70/191.81 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 191.70/191.81 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comp__cong,axiom,
% 191.70/191.81 ! [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] :
% 191.70/191.81 ( 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))
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_image__compose,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_inj__on__imageI2,axiom,
% 191.70/191.81 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 191.70/191.81 ( 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)
% 191.70/191.81 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_fun__upd__comp,axiom,
% 191.70/191.81 ! [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)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add_Ocomm__neutral,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Groups_Ocomm__monoid__add(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__0__right,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Groups_Omonoid__add(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_double__zero__sym,axiom,
% 191.70/191.81 ! [V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.70/191.81 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 191.70/191.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__0,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Groups_Ocomm__monoid__add(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__0__left,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Groups_Omonoid__add(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__0__iff,axiom,
% 191.70/191.81 ! [V_a_2,V_b_2,T_b] :
% 191.70/191.81 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 191.70/191.81 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 191.70/191.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__zero__left,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Omult__zero(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__zero__right,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Omult__zero(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__eq__0__iff,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Oring__no__zero__divisors(T_b)
% 191.70/191.81 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.81 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.81 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_no__zero__divisors,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ono__zero__divisors(T_a)
% 191.70/191.81 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.81 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_divisors__zero,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ono__zero__divisors(T_a)
% 191.70/191.81 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.81 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.81 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__0__right,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Groups_Ogroup__add(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__self,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Groups_Ogroup__add(T_a)
% 191.70/191.81 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_eq__iff__diff__eq__0,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Oab__group__add(T_b)
% 191.70/191.81 => ( V_a_2 = V_b_2
% 191.70/191.81 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_right__minus__eq,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Ogroup__add(T_b)
% 191.70/191.81 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.81 <=> V_a_2 = V_b_2 ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_one__neq__zero,axiom,
% 191.70/191.81 ! [T_a] :
% 191.70/191.81 ( class_Rings_Ozero__neq__one(T_a)
% 191.70/191.81 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__neq__one,axiom,
% 191.70/191.81 ! [T_a] :
% 191.70/191.81 ( class_Rings_Ozero__neq__one(T_a)
% 191.70/191.81 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_Zero__not__Suc,axiom,
% 191.70/191.81 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat_Osimps_I2_J,axiom,
% 191.70/191.81 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_Suc__not__Zero,axiom,
% 191.70/191.81 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat_Osimps_I3_J,axiom,
% 191.70/191.81 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_Zero__neq__Suc,axiom,
% 191.70/191.81 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_Suc__neq__Zero,axiom,
% 191.70/191.81 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_not__less0,axiom,
% 191.70/191.81 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_neq0__conv,axiom,
% 191.70/191.81 ! [V_na_2] :
% 191.70/191.81 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__nat__zero__code,axiom,
% 191.70/191.81 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_gr__implies__not0,axiom,
% 191.70/191.81 ! [V_n,V_m] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.81 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_gr0I,axiom,
% 191.70/191.81 ! [V_n] :
% 191.70/191.81 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 191.70/191.81 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.70/191.81 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__eq__self__zero,axiom,
% 191.70/191.81 ! [V_n,V_m] :
% 191.70/191.81 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 191.70/191.81 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__is__0,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2] :
% 191.70/191.81 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_Nat_Oadd__0__right,axiom,
% 191.70/191.81 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 191.70/191.81
% 191.70/191.81 fof(fact_plus__nat_Oadd__0,axiom,
% 191.70/191.81 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 191.70/191.81 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__0__eq,axiom,
% 191.70/191.81 ! [V_na_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 191.70/191.81 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__0__eq__0,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_minus__nat_Odiff__0,axiom,
% 191.70/191.81 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diff__self__eq__0,axiom,
% 191.70/191.81 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_diffs0__imp__equal,axiom,
% 191.70/191.81 ! [V_n,V_m] :
% 191.70/191.81 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 => V_m = V_n ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__0,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__0__right,axiom,
% 191.70/191.81 ! [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) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__is__0,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2] :
% 191.70/191.81 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__cancel1,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.81 ( 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)
% 191.70/191.81 <=> ( V_m_2 = V_na_2
% 191.70/191.81 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__cancel2,axiom,
% 191.70/191.81 ! [V_na_2,V_k_2,V_m_2] :
% 191.70/191.81 ( 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)
% 191.70/191.81 <=> ( V_m_2 = V_na_2
% 191.70/191.81 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.81 ( 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)
% 191.70/191.81 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 | V_m_2 = V_na_2 ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 191.70/191.81 ! [V_x_2,V_f_2,T_c,T_b] :
% 191.70/191.81 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.70/191.81 => 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) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_finite__PlusD_I2_J,axiom,
% 191.70/191.81 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.70/191.81 ( 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)))
% 191.70/191.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_finite__PlusD_I1_J,axiom,
% 191.70/191.81 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.70/191.81 ( 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)))
% 191.70/191.81 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_finite__Plus,axiom,
% 191.70/191.81 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.70/191.81 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.70/191.81 => 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_finite__Plus__iff,axiom,
% 191.70/191.81 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.70/191.81 ( 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)))
% 191.70/191.81 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.81 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comp__inj__on__iff,axiom,
% 191.70/191.81 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.81 => ( 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))
% 191.70/191.81 <=> 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) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comp__inj__on,axiom,
% 191.70/191.81 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 191.70/191.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.70/191.81 => ( 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))
% 191.70/191.81 => 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) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_inj__on__imageI,axiom,
% 191.70/191.81 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 191.70/191.81 ( 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)
% 191.70/191.81 => 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)) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_card__Plus__conv__if,axiom,
% 191.70/191.81 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.70/191.81 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.81 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 191.70/191.81 => 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)) )
% 191.70/191.81 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.81 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 191.70/191.81 => 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) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__nonpos__nonpos,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__increasing2,axiom,
% 191.70/191.81 ! [V_a,V_b,V_c,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__increasing,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__nonneg__eq__0__iff,axiom,
% 191.70/191.81 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.81 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 191.70/191.81 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.81 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.81 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__nonneg__nonneg,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 191.70/191.81 ! [V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 191.70/191.81 ! [V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__le__square,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__ring(T_a)
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__le__mult__iff,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 191.70/191.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__le__0__iff,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 191.70/191.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__nonneg__nonneg,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__nonneg__nonpos,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__nonneg__nonpos2,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__nonpos__nonneg,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__nonpos__nonpos,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__ring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__right__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__semiring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__left__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__semiring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__mult__left__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__comm__semiring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__right__mono__neg,axiom,
% 191.70/191.81 ! [V_c,V_a,V_b,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__ring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__left__mono__neg,axiom,
% 191.70/191.81 ! [V_c,V_a,V_b,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__ring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__mono_H,axiom,
% 191.70/191.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__semiring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.81 => 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))) ) ) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__mono,axiom,
% 191.70/191.81 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__semiring(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.81 => 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))) ) ) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_split__mult__pos__le,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__ring(T_a)
% 191.70/191.81 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 191.70/191.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 191.70/191.81 => 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_split__mult__neg__le,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.70/191.81 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 191.70/191.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 191.70/191.81 => 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_pos__add__strict,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 191.70/191.81 ! [V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 191.70/191.81 ! [V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__pos__pos,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__neg__neg,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__strict__left__mono__neg,axiom,
% 191.70/191.81 ! [V_c,V_a,V_b,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__strict__right__mono__neg,axiom,
% 191.70/191.81 ! [V_c,V_a,V_b,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_comm__mult__strict__left__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__strict__left__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__strict__right__mono,axiom,
% 191.70/191.81 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__neg__neg,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__neg__pos,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__less__cancel__left__neg,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__less__mult__pos2,axiom,
% 191.70/191.81 ! [V_a,V_b,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__less__mult__pos,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__pos__neg2,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__pos__neg,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__pos__pos,axiom,
% 191.70/191.81 ! [V_b,V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.81 => 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))) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__less__cancel__left__pos,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__less__cancel__left__disj,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 191.70/191.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_mult__less__cancel__right__disj,axiom,
% 191.70/191.81 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.81 => ( 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)))
% 191.70/191.81 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 191.70/191.81 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.81 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_not__square__less__zero,axiom,
% 191.70/191.81 ! [V_a,T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__ring(T_a)
% 191.70/191.81 => ~ 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_le__iff__diff__le__0,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.70/191.81 <=> 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__iff__diff__less__0,axiom,
% 191.70/191.81 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.81 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.70/191.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.70/191.81 <=> 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))) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_sum__squares__eq__zero__iff,axiom,
% 191.70/191.81 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.81 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.81 => ( 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)
% 191.70/191.81 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.81 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_add__scale__eq__noteq,axiom,
% 191.70/191.81 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 191.70/191.81 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 191.70/191.81 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.81 => ( ( V_a = V_b
% 191.70/191.81 & V_c != V_d )
% 191.70/191.81 => 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)) ) ) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_not__one__le__zero,axiom,
% 191.70/191.81 ! [T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.81 => ~ 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__le__one,axiom,
% 191.70/191.81 ! [T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.81 => 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))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_zero__less__one,axiom,
% 191.70/191.81 ! [T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_not__one__less__zero,axiom,
% 191.70/191.81 ! [T_a] :
% 191.70/191.81 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.81 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.70/191.81
% 191.70/191.81 fof(fact_less__Suc__eq__0__disj,axiom,
% 191.70/191.81 ! [V_na_2,V_m_2] :
% 191.70/191.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 191.70/191.81 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.81 | ? [B_j] :
% 191.70/191.82 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_less__Suc0,axiom,
% 191.70/191.82 ! [V_na_2] :
% 191.70/191.82 ( 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))))
% 191.70/191.82 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_gr0__conv__Suc,axiom,
% 191.70/191.82 ! [V_na_2] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 191.70/191.82 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__is__1,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2] :
% 191.70/191.82 ( 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))
% 191.70/191.82 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.70/191.82 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.70/191.82 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.82 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_one__is__add,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2] :
% 191.70/191.82 ( 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)
% 191.70/191.82 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.70/191.82 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.70/191.82 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.82 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__gr__0,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 191.70/191.82 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_card_Oempty,axiom,
% 191.70/191.82 ! [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) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_card__infinite,axiom,
% 191.70/191.82 ! [V_A_2,T_b] :
% 191.70/191.82 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__eq__1__iff,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2] :
% 191.70/191.82 ( 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))
% 191.70/191.82 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.70/191.82 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_diff__less,axiom,
% 191.70/191.82 ! [V_m,V_n] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 191.70/191.82 => 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zero__less__diff,axiom,
% 191.70/191.82 ! [V_m_2,V_na_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat__0__less__mult__iff,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__less__cancel1,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__less__cancel2,axiom,
% 191.70/191.82 ! [V_na_2,V_k_2,V_m_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__less__mono1,axiom,
% 191.70/191.82 ! [V_k,V_j,V_i] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 191.70/191.82 => 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__less__mono2,axiom,
% 191.70/191.82 ! [V_k,V_j,V_i] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 191.70/191.82 => 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat__mult__eq__cancel1,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.70/191.82 => ( 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)
% 191.70/191.82 <=> V_m_2 = V_na_2 ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat__mult__less__cancel1,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_diff__add__0,axiom,
% 191.70/191.82 ! [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) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_diff__is__0__eq,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2] :
% 191.70/191.82 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_diff__is__0__eq_H,axiom,
% 191.70/191.82 ! [V_n,V_m] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.70/191.82 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_One__nat__def,axiom,
% 191.70/191.82 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__eq__self__implies__10,axiom,
% 191.70/191.82 ! [V_n,V_m] :
% 191.70/191.82 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 191.70/191.82 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.70/191.82 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__pos__nonneg,axiom,
% 191.70/191.82 ! [V_b,V_a,T_a] :
% 191.70/191.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__nonneg__pos,axiom,
% 191.70/191.82 ! [V_b,V_a,T_a] :
% 191.70/191.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__strict__increasing,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__strict__increasing2,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__neg__nonpos,axiom,
% 191.70/191.82 ! [V_b,V_a,T_a] :
% 191.70/191.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__nonpos__neg,axiom,
% 191.70/191.82 ! [V_b,V_a,T_a] :
% 191.70/191.82 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__le__cancel__left__pos,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__le__cancel__left__neg,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__strict__mono,axiom,
% 191.70/191.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => 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))) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__strict__mono_H,axiom,
% 191.70/191.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => 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))) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__less__le__imp__less,axiom,
% 191.70/191.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => 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))) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__le__less__imp__less,axiom,
% 191.70/191.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => 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))) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__right__less__imp__less,axiom,
% 191.70/191.82 ! [V_b,V_c,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring(T_a)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__less__imp__less__right,axiom,
% 191.70/191.82 ! [V_b,V_c,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__left__less__imp__less,axiom,
% 191.70/191.82 ! [V_b,V_a,V_c,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring(T_a)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__less__imp__less__left,axiom,
% 191.70/191.82 ! [V_b,V_a,V_c,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__right__le__imp__le,axiom,
% 191.70/191.82 ! [V_b,V_c,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__left__le__imp__le,axiom,
% 191.70/191.82 ! [V_b,V_a,V_c,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_sum__squares__ge__zero,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__ring(T_a)
% 191.70/191.82 => 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_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_sum__squares__le__zero__iff,axiom,
% 191.70/191.82 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_sum__squares__gt__zero__iff,axiom,
% 191.70/191.82 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.82 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.70/191.82 => ( 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_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))))
% 191.70/191.82 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_not__sum__squares__lt__zero,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__ring(T_a)
% 191.70/191.82 => ~ 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__right__le__one__le,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__idom(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 191.70/191.82 => 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)) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__left__le__one__le,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__idom(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 191.70/191.82 => 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)) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zero__less__two,axiom,
% 191.70/191.82 ! [T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.82 => 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)))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_card__eq__0__iff,axiom,
% 191.70/191.82 ! [V_A_2,T_b] :
% 191.70/191.82 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.82 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.82 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_card__ge__0__finite,axiom,
% 191.70/191.82 ! [V_A_2,T_b] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Suc__pred,axiom,
% 191.70/191.82 ! [V_n] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.70/191.82 => 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 ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_diff__Suc__less,axiom,
% 191.70/191.82 ! [V_i,V_n] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_one__less__mult,axiom,
% 191.70/191.82 ! [V_m,V_n] :
% 191.70/191.82 ( 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))
% 191.70/191.82 => ( 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))
% 191.70/191.82 => 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_n__less__n__mult__m,axiom,
% 191.70/191.82 ! [V_m,V_n] :
% 191.70/191.82 ( 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))
% 191.70/191.82 => ( 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))
% 191.70/191.82 => 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_n__less__m__mult__n,axiom,
% 191.70/191.82 ! [V_m,V_n] :
% 191.70/191.82 ( 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))
% 191.70/191.82 => ( 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))
% 191.70/191.82 => 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat__diff__split__asm,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,V_Pa_2] :
% 191.70/191.82 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 191.70/191.82 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.70/191.82 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 191.70/191.82 | ? [B_d] :
% 191.70/191.82 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 191.70/191.82 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat__diff__split,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,V_Pa_2] :
% 191.70/191.82 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.70/191.82 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 191.70/191.82 & ! [B_d] :
% 191.70/191.82 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 191.70/191.82 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_one__le__mult__iff,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> ( 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))
% 191.70/191.82 & 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__le__cancel1,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__le__cancel2,axiom,
% 191.70/191.82 ! [V_na_2,V_k_2,V_m_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat__mult__le__cancel1,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2,V_k_2] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_the__inv__into__comp,axiom,
% 191.70/191.82 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.70/191.82 ( 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))
% 191.70/191.82 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 191.70/191.82 => ( 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))))
% 191.70/191.82 => 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) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_convex__bound__le,axiom,
% 191.70/191.82 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 191.70/191.82 ( class_Rings_Olinordered__semiring__1(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 191.70/191.82 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 191.70/191.82 => 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)) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_card__gt__0__iff,axiom,
% 191.70/191.82 ! [V_A_2,T_b] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.82 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Suc__pred_H,axiom,
% 191.70/191.82 ! [V_n] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.70/191.82 => 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Suc__diff__1,axiom,
% 191.70/191.82 ! [V_n] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.70/191.82 => 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 ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__eq__if,axiom,
% 191.70/191.82 ! [V_n,V_m] :
% 191.70/191.82 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.82 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 191.70/191.82 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.82 => 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__eq__if,axiom,
% 191.70/191.82 ! [V_n,V_m] :
% 191.70/191.82 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.70/191.82 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.82 => 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_even__less__0__iff,axiom,
% 191.70/191.82 ! [V_a_2,T_b] :
% 191.70/191.82 ( class_Rings_Olinordered__idom(T_b)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Oremove,axiom,
% 191.70/191.82 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.82 => 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Plus__eq__empty__conv,axiom,
% 191.70/191.82 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.70/191.82 ( 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))
% 191.70/191.82 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.70/191.82 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding__image_Oreindex,axiom,
% 191.70/191.82 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.70/191.82 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 191.70/191.82 => 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) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Oinsert__remove,axiom,
% 191.70/191.82 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_double__eq__0__iff,axiom,
% 191.70/191.82 ! [V_a_2,T_b] :
% 191.70/191.82 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.70/191.82 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 191.70/191.82 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.70/191.82 => 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) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding__idem_Oinsert__idem,axiom,
% 191.70/191.82 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 191.70/191.82 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.82 => 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) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_bot__nat__def,axiom,
% 191.70/191.82 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 191.70/191.82 ! [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] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 191.70/191.82 => 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) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Ocommute__comp,axiom,
% 191.70/191.82 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Ocommute__left__comp,axiom,
% 191.70/191.82 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding__idem_Oidem__comp,axiom,
% 191.70/191.82 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => 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) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 191.70/191.82 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => 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) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 191.70/191.82 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.82 => 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 191.70/191.82 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.70/191.82 => 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 191.70/191.82 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Ocommute__comp_H,axiom,
% 191.70/191.82 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Oeq__fold,axiom,
% 191.70/191.82 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding__image_Oeq__fold,axiom,
% 191.70/191.82 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_folding_Oinsert,axiom,
% 191.70/191.82 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.70/191.82 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.70/191.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.70/191.82 => 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_card__Suc__eq,axiom,
% 191.70/191.82 ! [V_k_2,V_A_2,T_b] :
% 191.70/191.82 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 191.70/191.82 <=> ? [B_b,B_B] :
% 191.70/191.82 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 191.70/191.82 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 191.70/191.82 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 191.70/191.82 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.70/191.82 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Ints__odd__less__0,axiom,
% 191.70/191.82 ! [V_a_2,T_b] :
% 191.70/191.82 ( class_Rings_Olinordered__idom(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_ex__least__nat__less,axiom,
% 191.70/191.82 ! [V_na_2,V_Pa_2] :
% 191.70/191.82 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 191.70/191.82 => ( hBOOL(hAPP(V_Pa_2,V_na_2))
% 191.70/191.82 => ? [B_k] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2))
% 191.70/191.82 & ! [B_i] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 191.70/191.82 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 191.70/191.82 & 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)))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Ints__odd__nonzero,axiom,
% 191.70/191.82 ! [V_a_2,T_b] :
% 191.70/191.82 ( class_Int_Oring__char__0(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_card_Oneutral,axiom,
% 191.70/191.82 ! [V_A_2,T_b] :
% 191.70/191.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.70/191.82 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.70/191.82 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.70/191.82 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_expand__Suc,axiom,
% 191.70/191.82 ! [V_v] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 => 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pair__box_Osize_I1_J,axiom,
% 191.70/191.82 ! [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))) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat_Osize_I2_J,axiom,
% 191.70/191.82 ! [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))) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Ints__number__of,axiom,
% 191.70/191.82 ! [V_w_2,T_b] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_b)
% 191.70/191.82 => 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_eq__number__of,axiom,
% 191.70/191.82 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.82 ( ( class_Int_Onumber__ring(T_b)
% 191.70/191.82 & class_Int_Oring__char__0(T_b) )
% 191.70/191.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.70/191.82 <=> V_x_2 = V_y_2 ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_number__of__reorient,axiom,
% 191.70/191.82 ! [V_x_2,V_w_2,T_b] :
% 191.70/191.82 ( class_Int_Onumber(T_b)
% 191.70/191.82 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 191.70/191.82 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pair__box_Oinject,axiom,
% 191.70/191.82 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 191.70/191.82 ( 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)
% 191.70/191.82 <=> ( V_a_2 = V_a_H_2
% 191.70/191.82 & V_b_2 = V_b_H_2 ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_le__number__of,axiom,
% 191.70/191.82 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.82 ( ( class_Int_Onumber__ring(T_b)
% 191.70/191.82 & class_Rings_Olinordered__idom(T_b) )
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_less__number__of,axiom,
% 191.70/191.82 ! [V_y_2,V_x_2,T_b] :
% 191.70/191.82 ( ( class_Int_Onumber__ring(T_b)
% 191.70/191.82 & class_Rings_Olinordered__idom(T_b) )
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__number__of__left,axiom,
% 191.70/191.82 ! [V_z,V_w,V_v,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => 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) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__number__of__eq,axiom,
% 191.70/191.82 ! [V_w,V_v,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_number__of__add,axiom,
% 191.70/191.82 ! [V_w,V_v,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__number__of__left,axiom,
% 191.70/191.82 ! [V_z,V_w,V_v,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => 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) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_arith__simps_I32_J,axiom,
% 191.70/191.82 ! [V_w,V_v,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_number__of__mult,axiom,
% 191.70/191.82 ! [V_w,V_v,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_number__of__diff,axiom,
% 191.70/191.82 ! [V_w,V_v,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat_Osize_I1_J,axiom,
% 191.70/191.82 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_le__number__of__eq__not__less,axiom,
% 191.70/191.82 ! [V_w_2,V_v_2,T_b] :
% 191.70/191.82 ( ( class_Int_Onumber(T_b)
% 191.70/191.82 & class_Orderings_Olinorder(T_b) )
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ~ 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_left__distrib__number__of,axiom,
% 191.70/191.82 ! [V_v,V_b,V_a,T_b] :
% 191.70/191.82 ( ( class_Int_Onumber(T_b)
% 191.70/191.82 & class_Rings_Osemiring(T_b) )
% 191.70/191.82 => 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_right__distrib__number__of,axiom,
% 191.70/191.82 ! [V_c,V_b,V_v,T_b] :
% 191.70/191.82 ( ( class_Int_Onumber(T_b)
% 191.70/191.82 & class_Rings_Osemiring(T_b) )
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__number__of__diff1,axiom,
% 191.70/191.82 ! [V_c,V_w,V_v,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => 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) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_right__diff__distrib__number__of,axiom,
% 191.70/191.82 ! [V_c,V_b,V_v,T_b] :
% 191.70/191.82 ( ( class_Int_Onumber(T_b)
% 191.70/191.82 & class_Rings_Oring(T_b) )
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_left__diff__distrib__number__of,axiom,
% 191.70/191.82 ! [V_v,V_b,V_a,T_b] :
% 191.70/191.82 ( ( class_Int_Onumber(T_b)
% 191.70/191.82 & class_Rings_Oring(T_b) )
% 191.70/191.82 => 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Ints__0,axiom,
% 191.70/191.82 ! [T_b] :
% 191.70/191.82 ( class_Rings_Oring__1(T_b)
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Ints__add,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Rings_Oring__1(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Ints__mult,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Rings_Oring__1(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Ints__diff,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Rings_Oring__1(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Ints__1,axiom,
% 191.70/191.82 ! [T_b] :
% 191.70/191.82 ( class_Rings_Oring__1(T_b)
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Ints__double__eq__0__iff,axiom,
% 191.70/191.82 ! [V_a_2,T_b] :
% 191.70/191.82 ( class_Int_Oring__char__0(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.70/191.82 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pair__box_Osize_I2_J,axiom,
% 191.70/191.82 ! [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) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pair__box_Osimps_I2_J,axiom,
% 191.70/191.82 ! [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) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pair__box_Orecs,axiom,
% 191.70/191.82 ! [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) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat_Osize_I4_J,axiom,
% 191.70/191.82 ! [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))) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_bool_Osize_I2_J,axiom,
% 191.70/191.82 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_bool_Osize_I1_J,axiom,
% 191.70/191.82 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_number__of__succ,axiom,
% 191.70/191.82 ! [V_k,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__le__eq__number__of1,axiom,
% 191.70/191.82 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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))
% 191.70/191.82 <=> ( ( 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)))
% 191.70/191.82 => 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)))) )
% 191.70/191.82 & ( ~ 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)))
% 191.70/191.82 => ( ( 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)))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ 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)))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_times__numeral__code_I5_J,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_less__eq__number__of__int__code,axiom,
% 191.70/191.82 ! [V_l_2,V_k_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_less__number__of__int__code,axiom,
% 191.70/191.82 ! [V_l_2,V_k_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_plus__numeral__code_I9_J,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zless__add1__eq,axiom,
% 191.70/191.82 ! [V_z_2,V_w_2] :
% 191.70/191.82 ( 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))))
% 191.70/191.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 191.70/191.82 | V_w_2 = V_z_2 ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zless__imp__add1__zle,axiom,
% 191.70/191.82 ! [V_z,V_w] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add1__zle__eq,axiom,
% 191.70/191.82 ! [V_z_2,V_w_2] :
% 191.70/191.82 ( 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))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zle__add1__eq__le,axiom,
% 191.70/191.82 ! [V_z_2,V_w_2] :
% 191.70/191.82 ( 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))))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_succ__def,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__strict__right__mono,axiom,
% 191.70/191.82 ! [V_k,V_j,V_i] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 191.70/191.82 => 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__commute,axiom,
% 191.70/191.82 ! [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) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__left__commute,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__assoc,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__zmult__distrib,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__zmult__distrib2,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__left__mono,axiom,
% 191.70/191.82 ! [V_k,V_j,V_i] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 191.70/191.82 => 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__zless__mono,axiom,
% 191.70/191.82 ! [V_z,V_z_H,V_w,V_w_H] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 191.70/191.82 => 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zle__diff1__eq,axiom,
% 191.70/191.82 ! [V_z_2,V_w_2] :
% 191.70/191.82 ( 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))))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zless__linear,axiom,
% 191.70/191.82 ! [V_y,V_x] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 191.70/191.82 | V_x = V_y
% 191.70/191.82 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zle__antisym,axiom,
% 191.70/191.82 ! [V_w,V_z] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 191.70/191.82 => V_z = V_w ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zle__trans,axiom,
% 191.70/191.82 ! [V_k,V_j,V_i] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zle__linear,axiom,
% 191.70/191.82 ! [V_w,V_z] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 191.70/191.82 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zle__refl,axiom,
% 191.70/191.82 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zless__le,axiom,
% 191.70/191.82 ! [V_w_2,V_z_2] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 191.70/191.82 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 191.70/191.82 & V_z_2 != V_w_2 ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zdiff__zmult__distrib,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zdiff__zmult__distrib2,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zmult__commute,axiom,
% 191.70/191.82 ! [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) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zmult__assoc,axiom,
% 191.70/191.82 ! [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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zmult__1,axiom,
% 191.70/191.82 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zmult__1__right,axiom,
% 191.70/191.82 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pos__zmult__eq__1__iff,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 191.70/191.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.70/191.82 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.70/191.82 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zmult__zless__mono2,axiom,
% 191.70/191.82 ! [V_k,V_j,V_i] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.70/191.82 => 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_less__bin__lemma,axiom,
% 191.70/191.82 ! [V_l_2,V_k_2] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 191.70/191.82 <=> 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_int__one__le__iff__zero__less,axiom,
% 191.70/191.82 ! [V_z_2] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_int__0__less__1,axiom,
% 191.70/191.82 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))) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__0__right,axiom,
% 191.70/191.82 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zadd__0,axiom,
% 191.70/191.82 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 191.70/191.82
% 191.70/191.82 fof(fact_odd__nonzero,axiom,
% 191.70/191.82 ! [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) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_le__imp__0__less,axiom,
% 191.70/191.82 ! [V_z] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.70/191.82 => 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_odd__less__0,axiom,
% 191.70/191.82 ! [V_z_2] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat__size,axiom,
% 191.70/191.82 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__zero__left,axiom,
% 191.70/191.82 ! [V_a,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_a)
% 191.70/191.82 => 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) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__zero,axiom,
% 191.70/191.82 ! [V_a,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 191.70/191.82 => 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) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__divide__distrib,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_a)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_times__divide__eq__right,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_a)
% 191.70/191.82 => 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) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_diff__divide__distrib,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_a)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__1,axiom,
% 191.70/191.82 ! [V_a,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_a)
% 191.70/191.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_eq__divide__imp,axiom,
% 191.70/191.82 ! [V_b,V_a,V_c,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_a)
% 191.70/191.82 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 191.70/191.82 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__eq__imp,axiom,
% 191.70/191.82 ! [V_a,V_b,V_c,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_a)
% 191.70/191.82 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 191.70/191.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nonzero__divide__eq__eq,axiom,
% 191.70/191.82 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_b)
% 191.70/191.82 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 191.70/191.82 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nonzero__eq__divide__eq,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_b)
% 191.70/191.82 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 191.70/191.82 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__self__if,axiom,
% 191.70/191.82 ! [V_a,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 191.70/191.82 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 191.70/191.82 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__self,axiom,
% 191.70/191.82 ! [V_a,T_a] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_a)
% 191.70/191.82 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_right__inverse__eq,axiom,
% 191.70/191.82 ! [V_a_2,V_b_2,T_b] :
% 191.70/191.82 ( class_Rings_Odivision__ring(T_b)
% 191.70/191.82 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 191.70/191.82 <=> V_a_2 = V_b_2 ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__eq__eq__number__of1,axiom,
% 191.70/191.82 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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
% 191.70/191.82 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__eq__eq__number__of,axiom,
% 191.70/191.82 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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)
% 191.70/191.82 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => 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) )
% 191.70/191.82 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_eq__divide__eq__number__of,axiom,
% 191.70/191.82 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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)
% 191.70/191.82 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => 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 )
% 191.70/191.82 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_eq__divide__eq__number__of1,axiom,
% 191.70/191.82 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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))
% 191.70/191.82 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => 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 )
% 191.70/191.82 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_nat_Osize_I3_J,axiom,
% 191.70/191.82 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) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__less__eq__number__of1,axiom,
% 191.70/191.82 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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))
% 191.70/191.82 <=> ( ( 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)))
% 191.70/191.82 => 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)))) )
% 191.70/191.82 & ( ~ 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)))
% 191.70/191.82 => ( ( 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)))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ 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)))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__less__eq__number__of,axiom,
% 191.70/191.82 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => 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))) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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))) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_less__divide__eq__number__of,axiom,
% 191.70/191.82 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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))) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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))) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_less__divide__eq__number__of1,axiom,
% 191.70/191.82 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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))))
% 191.70/191.82 <=> ( ( 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)))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ 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)))
% 191.70/191.82 => ( ( 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)))
% 191.70/191.82 => 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)))) )
% 191.70/191.82 & ( ~ 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)))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_le__divide__eq__number__of1,axiom,
% 191.70/191.82 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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))))
% 191.70/191.82 <=> ( ( 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)))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ 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)))
% 191.70/191.82 => ( ( 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)))
% 191.70/191.82 => 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)))) )
% 191.70/191.82 & ( ~ 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)))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_le__divide__eq__number__of,axiom,
% 191.70/191.82 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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))) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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))) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__le__eq__number__of,axiom,
% 191.70/191.82 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 191.70/191.82 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 & class_Int_Onumber(T_b) )
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => 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))) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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))) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_le__divide__eq,axiom,
% 191.70/191.82 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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))) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__le__eq,axiom,
% 191.70/191.82 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 => ( 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))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => 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))) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pos__le__divide__eq,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pos__divide__le__eq,axiom,
% 191.70/191.82 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( 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))
% 191.70/191.82 <=> 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__imp__div__pos__le,axiom,
% 191.70/191.82 ! [V_z,V_x,V_y,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__imp__le__div__pos,axiom,
% 191.70/191.82 ! [V_x,V_z,V_y,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => ( 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))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_neg__le__divide__eq,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_neg__divide__le__eq,axiom,
% 191.70/191.82 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => ( 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))
% 191.70/191.82 <=> 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_number__of__is__id,axiom,
% 191.70/191.82 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 191.70/191.82
% 191.70/191.82 fof(fact_int__0__neq__1,axiom,
% 191.70/191.82 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_times__divide__times__eq,axiom,
% 191.70/191.82 ! [V_w,V_z,V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.70/191.82 => 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)) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__right__mono__neg,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__right__mono,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__le__0__iff,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 191.70/191.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zero__le__divide__iff,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 191.70/191.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__strict__right__mono__neg,axiom,
% 191.70/191.82 ! [V_c,V_a,V_b,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__strict__right__mono,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__neg__neg,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => 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_x),V_y))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__neg__pos,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__pos__neg,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__pos__pos,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => 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_x),V_y))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__less__0__iff,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 191.70/191.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zero__less__divide__iff,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 => ( 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_a_2),V_b_2)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 191.70/191.82 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_eq__divide__eq,axiom,
% 191.70/191.82 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Fields_Ofield__inverse__zero(T_b)
% 191.70/191.82 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 191.70/191.82 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 191.70/191.82 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__eq__eq,axiom,
% 191.70/191.82 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 191.70/191.82 ( class_Fields_Ofield__inverse__zero(T_b)
% 191.70/191.82 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 191.70/191.82 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 191.70/191.82 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__divide__mult__cancel__right,axiom,
% 191.70/191.82 ! [V_b,V_a,V_c,T_a] :
% 191.70/191.82 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.70/191.82 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__divide__mult__cancel__left,axiom,
% 191.70/191.82 ! [V_b,V_a,V_c,T_a] :
% 191.70/191.82 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.70/191.82 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_frac__eq__eq,axiom,
% 191.70/191.82 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 191.70/191.82 ( class_Fields_Ofield(T_b)
% 191.70/191.82 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.70/191.82 => ( 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)
% 191.70/191.82 <=> 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) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__nonneg__pos,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__nonneg__neg,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_frac__less2,axiom,
% 191.70/191.82 ! [V_z,V_w,V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 191.70/191.82 => 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))) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_frac__less,axiom,
% 191.70/191.82 ! [V_z,V_w,V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 191.70/191.82 => 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))) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_frac__le,axiom,
% 191.70/191.82 ! [V_z,V_w,V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 191.70/191.82 => 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))) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__nonpos__pos,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__nonpos__neg,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__strict__left__mono__neg,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => 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))) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__strict__left__mono,axiom,
% 191.70/191.82 ! [V_c,V_a,V_b,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => 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))) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_neg__divide__less__eq,axiom,
% 191.70/191.82 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => ( 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))
% 191.70/191.82 <=> 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_neg__less__divide__eq,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__imp__less__div__pos,axiom,
% 191.70/191.82 ! [V_x,V_z,V_y,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => ( 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))
% 191.70/191.82 => 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_mult__imp__div__pos__less,axiom,
% 191.70/191.82 ! [V_z,V_x,V_y,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pos__divide__less__eq,axiom,
% 191.70/191.82 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( 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))
% 191.70/191.82 <=> 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))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_pos__less__divide__eq,axiom,
% 191.70/191.82 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_b)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__less__eq,axiom,
% 191.70/191.82 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 => ( 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))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => 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))) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_less__divide__eq,axiom,
% 191.70/191.82 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => 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)) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.70/191.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => 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))) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__frac__eq,axiom,
% 191.70/191.82 ! [V_w,V_x,V_z,V_y,T_a] :
% 191.70/191.82 ( class_Fields_Ofield(T_a)
% 191.70/191.82 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__add__eq__iff,axiom,
% 191.70/191.82 ! [V_y,V_x,V_z,T_a] :
% 191.70/191.82 ( class_Fields_Ofield(T_a)
% 191.70/191.82 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__frac__num,axiom,
% 191.70/191.82 ! [V_z,V_x,V_y,T_a] :
% 191.70/191.82 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.70/191.82 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__divide__eq__iff,axiom,
% 191.70/191.82 ! [V_y,V_x,V_z,T_a] :
% 191.70/191.82 ( class_Fields_Ofield(T_a)
% 191.70/191.82 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_add__num__frac,axiom,
% 191.70/191.82 ! [V_x,V_z,V_y,T_a] :
% 191.70/191.82 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.70/191.82 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_diff__divide__eq__iff,axiom,
% 191.70/191.82 ! [V_y,V_x,V_z,T_a] :
% 191.70/191.82 ( class_Fields_Ofield(T_a)
% 191.70/191.82 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__diff__eq__iff,axiom,
% 191.70/191.82 ! [V_y,V_x,V_z,T_a] :
% 191.70/191.82 ( class_Fields_Ofield(T_a)
% 191.70/191.82 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_diff__frac__eq,axiom,
% 191.70/191.82 ! [V_w,V_x,V_z,V_y,T_a] :
% 191.70/191.82 ( class_Fields_Ofield(T_a)
% 191.70/191.82 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.70/191.82 => 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)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_gt__half__sum,axiom,
% 191.70/191.82 ! [V_b,V_a,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.82 => 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_less__half__sum,axiom,
% 191.70/191.82 ! [V_b,V_a,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.70/191.82 => 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))))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__left__mono__neg,axiom,
% 191.70/191.82 ! [V_c,V_b,V_a,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => 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))) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_divide__left__mono,axiom,
% 191.70/191.82 ! [V_c,V_a,V_b,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field(T_a)
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => 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))) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_self__quotient__aux1,axiom,
% 191.70/191.82 ! [V_q,V_r,V_a] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.70/191.82 => ( 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))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_self__quotient__aux2,axiom,
% 191.70/191.82 ! [V_q,V_r,V_a] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.70/191.82 => ( 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))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_q__pos__lemma,axiom,
% 191.70/191.82 ! [V_r_H,V_q_H,V_b_H] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_q__neg__lemma,axiom,
% 191.70/191.82 ! [V_r_H,V_q_H,V_b_H] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_unique__quotient__lemma,axiom,
% 191.70/191.82 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zdiv__mono2__lemma,axiom,
% 191.70/191.82 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 191.70/191.82 ( 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)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_unique__quotient__lemma__neg,axiom,
% 191.70/191.82 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 191.70/191.82 ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 191.70/191.82 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 191.70/191.82 ( 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)
% 191.70/191.82 => ( 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)))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 191.70/191.82 ! [V_y,V_x] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.70/191.82 => 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 191.70/191.82 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))) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 191.70/191.82 ! [V_y,V_x] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.70/191.82 => 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))) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Suc__nat__number__of__add,axiom,
% 191.70/191.82 ! [V_n,V_v] :
% 191.70/191.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.82 => 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) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.82 => 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) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 191.70/191.82 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))) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Suc__nat__number__of,axiom,
% 191.70/191.82 ! [V_v] :
% 191.70/191.82 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.82 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 191.70/191.82 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.82 => 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)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_of__nat__number__of__lemma,axiom,
% 191.70/191.82 ! [V_v,T_a] :
% 191.70/191.82 ( class_Int_Onumber__ring(T_a)
% 191.70/191.82 => ( ( 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_v)))
% 191.70/191.82 => 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) )
% 191.70/191.82 & ( ~ 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_v)))
% 191.70/191.82 => 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) ) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_field__le__mult__one__interval,axiom,
% 191.70/191.82 ! [V_y,V_x,T_a] :
% 191.70/191.82 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.70/191.82 => ( ! [B_z] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 191.70/191.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 191.70/191.82 => 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)) ) )
% 191.70/191.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_of__nat__eq__iff,axiom,
% 191.70/191.82 ! [V_na_2,V_m_2,T_b] :
% 191.70/191.82 ( class_Nat_Osemiring__char__0(T_b)
% 191.70/191.82 => ( 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)
% 191.70/191.82 <=> V_m_2 = V_na_2 ) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_not__neg__int,axiom,
% 191.70/191.82 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 191.70/191.82 ! [V_A_2] :
% 191.70/191.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 191.70/191.82 <=> 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))) ) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 191.70/191.82 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)) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 191.70/191.82 ! [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))) ).
% 191.70/191.82
% 191.70/191.82 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 191.70/191.82 ! [V_Pa_2] :
% 191.70/191.82 ( ? [B_x] :
% 191.70/191.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.70/191.82 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.70/191.82 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 191.70/191.83 ! [V_Pa_2] :
% 191.70/191.83 ( ! [B_x] :
% 191.70/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.70/191.83 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.70/191.83 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 191.70/191.83 ! [V_y_2,V_x_2] :
% 191.70/191.83 ( 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)))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 191.70/191.83 ! [V_y_2,V_x_2] :
% 191.70/191.83 ( 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)))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 191.70/191.83 ! [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)) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_not__neg__0,axiom,
% 191.70/191.83 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 191.70/191.83 ! [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)) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 191.70/191.83 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)) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_not__neg__1,axiom,
% 191.70/191.83 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__nat__number__of,axiom,
% 191.70/191.83 ! [V_v] :
% 191.70/191.83 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.83 => 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) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.83 => 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) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__eq__0__conv,axiom,
% 191.70/191.83 ! [V_na_2] :
% 191.70/191.83 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.70/191.83 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__0,axiom,
% 191.70/191.83 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) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zero__zle__int,axiom,
% 191.70/191.83 ! [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))) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__less__0__conv,axiom,
% 191.70/191.83 ! [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))) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zless__int,axiom,
% 191.70/191.83 ! [V_na_2,V_m_2] :
% 191.70/191.83 ( 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)))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zle__int,axiom,
% 191.70/191.83 ! [V_na_2,V_m_2] :
% 191.70/191.83 ( 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)))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zadd__int__left,axiom,
% 191.70/191.83 ! [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) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zadd__int,axiom,
% 191.70/191.83 ! [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)) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zle__iff__zadd,axiom,
% 191.70/191.83 ! [V_z_2,V_w_2] :
% 191.70/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 191.70/191.83 <=> ? [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)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zero__le__imp__of__nat,axiom,
% 191.70/191.83 ! [V_m,T_a] :
% 191.70/191.83 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.83 => 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))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__0__le__iff,axiom,
% 191.70/191.83 ! [V_n,T_a] :
% 191.70/191.83 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.83 => 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))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__less__0__iff,axiom,
% 191.70/191.83 ! [V_m,T_a] :
% 191.70/191.83 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.83 => ~ 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))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__number__of__eq,axiom,
% 191.70/191.83 ! [V_v,T_a] :
% 191.70/191.83 ( class_Int_Onumber__ring(T_a)
% 191.70/191.83 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.83 => 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) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.83 => 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) ) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zmult__int,axiom,
% 191.70/191.83 ! [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)) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__mult,axiom,
% 191.70/191.83 ! [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)) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__0,axiom,
% 191.70/191.83 ! [T_a] :
% 191.70/191.83 ( class_Rings_Osemiring__1(T_a)
% 191.70/191.83 => 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) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__less__iff,axiom,
% 191.70/191.83 ! [V_na_2,V_m_2,T_b] :
% 191.70/191.83 ( class_Rings_Olinordered__semidom(T_b)
% 191.70/191.83 => ( 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)))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_less__imp__of__nat__less,axiom,
% 191.70/191.83 ! [V_n,V_m,T_a] :
% 191.70/191.83 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.70/191.83 => 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))) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__less__imp__less,axiom,
% 191.70/191.83 ! [V_n,V_m,T_a] :
% 191.70/191.83 ( class_Rings_Olinordered__semidom(T_a)
% 191.70/191.83 => ( 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)))
% 191.70/191.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__1,axiom,
% 191.70/191.83 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) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__le__iff,axiom,
% 191.70/191.83 ! [V_na_2,V_m_2,T_b] :
% 191.70/191.83 ( class_Rings_Olinordered__semidom(T_b)
% 191.70/191.83 => ( 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)))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__add,axiom,
% 191.70/191.83 ! [V_n,V_m,T_a] :
% 191.70/191.83 ( class_Rings_Osemiring__1(T_a)
% 191.70/191.83 => 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)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__mult,axiom,
% 191.70/191.83 ! [V_n,V_m,T_a] :
% 191.70/191.83 ( class_Rings_Osemiring__1(T_a)
% 191.70/191.83 => 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)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__1,axiom,
% 191.70/191.83 ! [T_a] :
% 191.70/191.83 ( class_Rings_Osemiring__1(T_a)
% 191.70/191.83 => 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) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_Ints__of__nat,axiom,
% 191.70/191.83 ! [V_na_2,T_b] :
% 191.70/191.83 ( class_Rings_Oring__1(T_b)
% 191.70/191.83 => 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))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_not__neg__eq__ge__0,axiom,
% 191.70/191.83 ! [V_x_2] :
% 191.70/191.83 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_neg__def,axiom,
% 191.70/191.83 ! [V_Z_2] :
% 191.70/191.83 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__le__0__conv,axiom,
% 191.70/191.83 ! [V_na_2] :
% 191.70/191.83 ( 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)))
% 191.70/191.83 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__Suc0__eq__1,axiom,
% 191.70/191.83 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) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zless__iff__Suc__zadd,axiom,
% 191.70/191.83 ! [V_z_2,V_w_2] :
% 191.70/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 191.70/191.83 <=> ? [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))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__Suc,axiom,
% 191.70/191.83 ! [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)) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zdiff__int,axiom,
% 191.70/191.83 ! [V_m,V_n] :
% 191.70/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.70/191.83 => 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)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__Suc,axiom,
% 191.70/191.83 ! [V_m,T_a] :
% 191.70/191.83 ( class_Rings_Osemiring__1(T_a)
% 191.70/191.83 => 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)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__diff,axiom,
% 191.70/191.83 ! [V_m,V_n,T_a] :
% 191.70/191.83 ( class_Rings_Oring__1(T_a)
% 191.70/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.70/191.83 => 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)) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_neg__imp__number__of__eq__0,axiom,
% 191.70/191.83 ! [V_v] :
% 191.70/191.83 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.83 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zero__less__int__conv,axiom,
% 191.70/191.83 ! [V_na_2] :
% 191.70/191.83 ( 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)))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zmult__zless__mono2__lemma,axiom,
% 191.70/191.83 ! [V_k,V_j,V_i] :
% 191.70/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 191.70/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 191.70/191.83 => 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))) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_of__nat__0__less__iff,axiom,
% 191.70/191.83 ! [V_na_2,T_b] :
% 191.70/191.83 ( class_Rings_Olinordered__semidom(T_b)
% 191.70/191.83 => ( 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)))
% 191.70/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_eq__nat__number__of,axiom,
% 191.70/191.83 ! [V_v_H_2,V_v_2] :
% 191.70/191.83 ( 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)
% 191.70/191.83 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 191.70/191.83 => 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))) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 191.70/191.83 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 191.70/191.83 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 191.70/191.83 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_nat__number__of__add__left,axiom,
% 191.70/191.83 ! [V_k,V_v_H,V_v] :
% 191.70/191.83 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.83 => 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) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.70/191.83 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.70/191.83 => 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) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.70/191.83 => 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) ) ) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zdiff__int__split,axiom,
% 191.70/191.83 ! [V_y_2,V_x_2,V_Pa_2] :
% 191.70/191.83 ( 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))))
% 191.70/191.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 191.70/191.83 => 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)))) )
% 191.70/191.83 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 191.70/191.83 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_tsub__def,axiom,
% 191.70/191.83 ! [V_x,V_y] :
% 191.70/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 191.70/191.83 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 191.70/191.83 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_nat__number__of__add__1,axiom,
% 191.70/191.83 ! [V_v] :
% 191.70/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.70/191.83 => 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) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.70/191.83 => 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)) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_nat__1__add__number__of,axiom,
% 191.70/191.83 ! [V_v] :
% 191.70/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.70/191.83 => 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) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.70/191.83 => 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)) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_neg__number__of__pred__iff__0,axiom,
% 191.70/191.83 ! [V_v_2] :
% 191.70/191.83 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 191.70/191.83 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_mult__nat__number__of,axiom,
% 191.70/191.83 ! [V_v_H,V_v] :
% 191.70/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.70/191.83 => 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) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.70/191.83 => 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)) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_nat__number__of__mult__left,axiom,
% 191.70/191.83 ! [V_k,V_v_H,V_v] :
% 191.70/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.70/191.83 => 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) )
% 191.70/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.70/191.83 => 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) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_zero__less__imp__eq__int,axiom,
% 191.70/191.83 ! [V_k] :
% 191.70/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.70/191.83 => ? [B_n] :
% 191.70/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 191.70/191.83 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 191.70/191.83 ! [V_B_2,V_A_2] :
% 191.70/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.83 <=> 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))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 191.70/191.83 ! [V_B_2,V_A_2] :
% 191.70/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.70/191.83 <=> 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))) ) ).
% 191.70/191.83
% 191.70/191.83 fof(fact_int__int__eq,axiom,
% 191.70/191.83 ! [V_na_2,V_m_2] :
% 191.70/191.83 ( 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)
% 191.70/191.83 <=> V_m_2 = V_na_2 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 191.87/191.83 ! [V_y_2,V_x_2] :
% 191.87/191.83 ( 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)
% 191.87/191.83 <=> V_x_2 = V_y_2 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 191.87/191.83 ! [V_B_2,V_A_2] :
% 191.87/191.83 ( V_A_2 = V_B_2
% 191.87/191.83 <=> 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 191.87/191.83 ! [V_A_2,V_x_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 191.87/191.83 <=> 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 191.87/191.83 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))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Pls__def,axiom,
% 191.87/191.83 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I19_J,axiom,
% 191.87/191.83 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I2_J,axiom,
% 191.87/191.83 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__Pls,axiom,
% 191.87/191.83 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__Pls__right,axiom,
% 191.87/191.83 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mult__Pls,axiom,
% 191.87/191.83 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__bin__simps_I1_J,axiom,
% 191.87/191.83 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 191.87/191.83
% 191.87/191.83 fof(fact_succ__pred,axiom,
% 191.87/191.83 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 191.87/191.83
% 191.87/191.83 fof(fact_number__of__Pls,axiom,
% 191.87/191.83 ! [T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_semiring__norm_I112_J,axiom,
% 191.87/191.83 ! [T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__numeral__0__right,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__numeral__0,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_number__of2,axiom,
% 191.87/191.83 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))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_bin__less__0__simps_I1_J,axiom,
% 191.87/191.83 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_semiring__norm_I113_J,axiom,
% 191.87/191.83 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_nat__number__of__Pls,axiom,
% 191.87/191.83 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zero__is__num__zero,axiom,
% 191.87/191.83 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Suc__diff__number__of,axiom,
% 191.87/191.83 ! [V_m,V_v] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_not__neg__number__of__Pls,axiom,
% 191.87/191.83 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__iff__pred__less,axiom,
% 191.87/191.83 ! [V_l_2,V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_pred__def,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_nat__number__of__diff__1,axiom,
% 191.87/191.83 ! [V_v] :
% 191.87/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 191.87/191.83 => 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) )
% 191.87/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 191.87/191.83 => 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_divide__Numeral0,axiom,
% 191.87/191.83 ! [V_x,T_a] :
% 191.87/191.83 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 191.87/191.83 & class_Int_Onumber__ring(T_a) )
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_eq__number__of__0,axiom,
% 191.87/191.83 ! [V_v_2] :
% 191.87/191.83 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_eq__0__number__of,axiom,
% 191.87/191.83 ! [V_v_2] :
% 191.87/191.83 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__nat__number__of,axiom,
% 191.87/191.83 ! [V_v_H_2,V_v_2] :
% 191.87/191.83 ( 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)))
% 191.87/191.83 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 191.87/191.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 191.87/191.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__nat__number__of,axiom,
% 191.87/191.83 ! [V_v_H_2,V_v_2] :
% 191.87/191.83 ( 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)))
% 191.87/191.83 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 191.87/191.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__special_I1_J,axiom,
% 191.87/191.83 ! [V_y_2,T_b] :
% 191.87/191.83 ( ( class_Int_Onumber__ring(T_b)
% 191.87/191.83 & class_Rings_Olinordered__idom(T_b) )
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__special_I3_J,axiom,
% 191.87/191.83 ! [V_x_2,T_b] :
% 191.87/191.83 ( ( class_Int_Onumber__ring(T_b)
% 191.87/191.83 & class_Rings_Olinordered__idom(T_b) )
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__special_I1_J,axiom,
% 191.87/191.83 ! [V_y_2,T_b] :
% 191.87/191.83 ( ( class_Int_Onumber__ring(T_b)
% 191.87/191.83 & class_Rings_Olinordered__idom(T_b) )
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__special_I3_J,axiom,
% 191.87/191.83 ! [V_x_2,T_b] :
% 191.87/191.83 ( ( class_Int_Onumber__ring(T_b)
% 191.87/191.83 & class_Rings_Olinordered__idom(T_b) )
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__0__number__of,axiom,
% 191.87/191.83 ! [V_v_2] :
% 191.87/191.83 ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__nat__number__of,axiom,
% 191.87/191.83 ! [V_v_H,V_v] :
% 191.87/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.87/191.83 => 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) )
% 191.87/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.87/191.83 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 191.87/191.83 => 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) )
% 191.87/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 191.87/191.83 => 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)) ) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 191.87/191.83 ! [V_y,V_x] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.87/191.83 => 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))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_tsub__eq,axiom,
% 191.87/191.83 ! [V_x,V_y] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 191.87/191.83 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nats__number__of,axiom,
% 191.87/191.83 ! [V_w_2,T_b] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_b)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 191.87/191.83 => 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))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_decr__mult__lemma,axiom,
% 191.87/191.83 ! [V_k_2,V_Pa_2,V_d_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 191.87/191.83 => ( ! [B_x] :
% 191.87/191.83 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.87/191.83 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.87/191.83 => ! [B_x] :
% 191.87/191.83 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.87/191.83 => 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)))) ) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_incr__mult__lemma,axiom,
% 191.87/191.83 ! [V_k_2,V_Pa_2,V_d_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 191.87/191.83 => ( ! [B_x] :
% 191.87/191.83 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.87/191.83 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.87/191.83 => ! [B_x] :
% 191.87/191.83 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.87/191.83 => 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)))) ) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_decr__lemma,axiom,
% 191.87/191.83 ! [V_z,V_x,V_d] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_incr__lemma,axiom,
% 191.87/191.83 ! [V_x,V_z,V_d] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 191.87/191.83 => 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)))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 191.87/191.83 ! [V_m,V_n] :
% 191.87/191.83 ( 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))
% 191.87/191.83 => 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)))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_divmod__int__rel__mod__eq,axiom,
% 191.87/191.83 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 191.87/191.83 ( 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)
% 191.87/191.83 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.87/191.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 191.87/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 191.87/191.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 191.87/191.83 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.83 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmult2__lemma__aux2,axiom,
% 191.87/191.83 ! [V_q,V_r,V_b,V_c] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.83 => 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))) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mod__trivial,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I51_J,axiom,
% 191.87/191.83 ! [V_l_2,V_k_2] :
% 191.87/191.83 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 191.87/191.83 <=> V_k_2 = V_l_2 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__idempotent,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__self,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__by__0,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__0,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__ge__self,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__le__D1,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 191.87/191.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__eq__0,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.87/191.83 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.87/191.83 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__zero,axiom,
% 191.87/191.83 ! [T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__add__self2,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__add__self1,axiom,
% 191.87/191.83 ! [V_a,V_b,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__add__right__eq,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__add__left__eq,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__add__eq,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__simps_I2_J,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__simps_I1_J,axiom,
% 191.87/191.83 ! [V_b,V_c,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__add__cong,axiom,
% 191.87/191.83 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 191.87/191.83 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 191.87/191.83 => 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) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__right__eq,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__left__eq,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__eq,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__mult1,axiom,
% 191.87/191.83 ! [V_b,V_a,V_c,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__mult2,axiom,
% 191.87/191.83 ! [V_b,V_c,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__simps_I4_J,axiom,
% 191.87/191.83 ! [V_b,V_c,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__cong,axiom,
% 191.87/191.83 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 191.87/191.83 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 191.87/191.83 => 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) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__add__abs,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__mult,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Rings_Olinordered__idom(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__mult__self,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Rings_Olinordered__idom(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__diff__right__eq,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Oring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__diff__left__eq,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Oring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__diff__eq,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Oring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__diff__cong,axiom,
% 191.87/191.83 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Oring__div(T_a)
% 191.87/191.83 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 191.87/191.83 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 191.87/191.83 => 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) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__minus__commute,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__one,axiom,
% 191.87/191.83 ! [T_a] :
% 191.87/191.83 ( class_Rings_Olinordered__idom(T_a)
% 191.87/191.83 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__of__nat,axiom,
% 191.87/191.83 ! [V_n,T_a] :
% 191.87/191.83 ( class_Rings_Olinordered__idom(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__divide,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__self,axiom,
% 191.87/191.83 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__zero,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__int__eq,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I34_J,axiom,
% 191.87/191.83 ! [V_l_2,V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__eq__int__code_I16_J,axiom,
% 191.87/191.83 ! [V_k2_2,V_k1_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I17_J,axiom,
% 191.87/191.83 ! [V_l_2,V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__int__code_I16_J,axiom,
% 191.87/191.83 ! [V_k2_2,V_k1_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I46_J,axiom,
% 191.87/191.83 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I39_J,axiom,
% 191.87/191.83 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__simps_I3_J,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__zmult1__eq,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zdiff__zmod__right,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zdiff__zmod__left,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__ge__zero,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__le__zero__iff,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__of__nonneg,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.87/191.83 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__of__pos,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.87/191.83 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zero__less__abs__iff,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__not__less__zero,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => ~ 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__self2__is__0,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__self1__is__0,axiom,
% 191.87/191.83 ! [V_a,V_b,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__triangle__ineq,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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)))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__mult__less,axiom,
% 191.87/191.83 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.87/191.83 ( class_Rings_Olinordered__idom(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 191.87/191.83 => 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))) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__triangle__ineq3,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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)))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__triangle__ineq2,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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)))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__triangle__ineq2__sym,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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)))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__self1,axiom,
% 191.87/191.83 ! [V_b,V_c,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__self2,axiom,
% 191.87/191.83 ! [V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__by__1,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.83 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_nonzero__abs__divide,axiom,
% 191.87/191.83 ! [V_a,V_b,T_a] :
% 191.87/191.83 ( class_Fields_Olinordered__field(T_a)
% 191.87/191.83 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.83 => 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__le__nonneg__dividend,axiom,
% 191.87/191.83 ! [V_k,V_m] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 191.87/191.83 ! [V_y,V_x] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.87/191.83 => 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))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_pos__mod__bound,axiom,
% 191.87/191.83 ! [V_a,V_b] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__mod__bound,axiom,
% 191.87/191.83 ! [V_a,V_b] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_bin__less__0__simps_I4_J,axiom,
% 191.87/191.83 ! [V_w_2] :
% 191.87/191.83 ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__zmult__eq__1,axiom,
% 191.87/191.83 ! [V_n,V_m] :
% 191.87/191.83 ( 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)
% 191.87/191.83 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__eq__0__iff,axiom,
% 191.87/191.83 ! [V_d_2,V_m_2] :
% 191.87/191.83 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.83 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I22_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I12_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Bit1__def,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__number__of__Bit1,axiom,
% 191.87/191.83 ! [V_w_2] :
% 191.87/191.83 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 191.87/191.83 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_succ__Pls,axiom,
% 191.87/191.83 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__mult__pos,axiom,
% 191.87/191.83 ! [V_y,V_x,T_a] :
% 191.87/191.83 ( class_Rings_Olinordered__idom(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.87/191.83 => 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__eq__mult,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Rings_Oordered__ring__abs(T_a)
% 191.87/191.83 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.87/191.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 191.87/191.83 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.87/191.83 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 191.87/191.83 => 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__triangle__ineq4,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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)))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__diff__triangle__ineq,axiom,
% 191.87/191.83 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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))))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__div__pos,axiom,
% 191.87/191.83 ! [V_x,V_y,T_a] :
% 191.87/191.83 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.87/191.83 => 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_number__of__Bit1,axiom,
% 191.87/191.83 ! [V_w,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zabs__less__one__iff,axiom,
% 191.87/191.83 ! [V_z_2] :
% 191.87/191.83 ( 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)))
% 191.87/191.83 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mult__numeral__1,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mult__numeral__1__right,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_pos__mod__sign,axiom,
% 191.87/191.83 ! [V_a,V_b] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_pos__mod__conj,axiom,
% 191.87/191.83 ! [V_a,V_b] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.87/191.83 => ( 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)))
% 191.87/191.83 & 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__pos__pos__trivial,axiom,
% 191.87/191.83 ! [V_b,V_a] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.87/191.83 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__mod__sign,axiom,
% 191.87/191.83 ! [V_a,V_b] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__mod__conj,axiom,
% 191.87/191.83 ! [V_a,V_b] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.83 => ( 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)))
% 191.87/191.83 & 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))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__neg__neg__trivial,axiom,
% 191.87/191.83 ! [V_b,V_a] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 191.87/191.83 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_numeral__1__eq__1,axiom,
% 191.87/191.83 ! [T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_semiring__norm_I110_J,axiom,
% 191.87/191.83 ! [T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I29_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I5_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_divide__numeral__1,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( ( class_Fields_Ofield(T_a)
% 191.87/191.83 & class_Int_Onumber__ring(T_a) )
% 191.87/191.83 => 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 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_divide__Numeral1,axiom,
% 191.87/191.83 ! [V_x,T_a] :
% 191.87/191.83 ( ( class_Fields_Ofield(T_a)
% 191.87/191.83 & class_Int_Onumber__ring(T_a) )
% 191.87/191.83 => 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 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_one__is__num__one,axiom,
% 191.87/191.83 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Numeral1__eq1__nat,axiom,
% 191.87/191.83 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_nat__numeral__1__eq__1,axiom,
% 191.87/191.83 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nats__0,axiom,
% 191.87/191.83 ! [T_b] :
% 191.87/191.83 ( class_Rings_Osemiring__1(T_b)
% 191.87/191.83 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nats__add,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Rings_Osemiring__1(T_b)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 191.87/191.83 => 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))) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nats__mult,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Rings_Osemiring__1(T_b)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 191.87/191.83 => 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))) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nats__1,axiom,
% 191.87/191.83 ! [T_b] :
% 191.87/191.83 ( class_Rings_Osemiring__1(T_b)
% 191.87/191.83 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_of__nat__in__Nats,axiom,
% 191.87/191.83 ! [V_na_2,T_b] :
% 191.87/191.83 ( class_Rings_Osemiring__1(T_b)
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__pos__neg__trivial,axiom,
% 191.87/191.83 ! [V_b,V_a] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.87/191.83 => ( 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)))
% 191.87/191.83 => 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) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_numeral__1__eq__Suc__0,axiom,
% 191.87/191.83 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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_numeral__3__eq__3,axiom,
% 191.87/191.83 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)))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 191.87/191.83 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))))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Suc3__eq__add__3,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 191.87/191.83 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)))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__special_I4_J,axiom,
% 191.87/191.83 ! [V_x_2,T_b] :
% 191.87/191.83 ( ( class_Int_Onumber__ring(T_b)
% 191.87/191.83 & class_Rings_Olinordered__idom(T_b) )
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__special_I2_J,axiom,
% 191.87/191.83 ! [V_y_2,T_b] :
% 191.87/191.83 ( ( class_Int_Onumber__ring(T_b)
% 191.87/191.83 & class_Rings_Olinordered__idom(T_b) )
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__special_I2_J,axiom,
% 191.87/191.83 ! [V_y_2,T_b] :
% 191.87/191.83 ( ( class_Int_Onumber__ring(T_b)
% 191.87/191.83 & class_Rings_Olinordered__idom(T_b) )
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__special_I4_J,axiom,
% 191.87/191.83 ! [V_x_2,T_b] :
% 191.87/191.83 ( ( class_Int_Onumber__ring(T_b)
% 191.87/191.83 & class_Rings_Olinordered__idom(T_b) )
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__special_I3_J,axiom,
% 191.87/191.83 ! [V_v,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__special_I2_J,axiom,
% 191.87/191.83 ! [V_w,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_split__zmod,axiom,
% 191.87/191.83 ! [V_k_2,V_na_2,V_Pa_2] :
% 191.87/191.83 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 191.87/191.83 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.83 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 191.87/191.83 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.87/191.83 => ! [B_i,B_j] :
% 191.87/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 191.87/191.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 191.87/191.83 & 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) )
% 191.87/191.83 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 191.87/191.83 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.83 => ! [B_i,B_j] :
% 191.87/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 191.87/191.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.83 & 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) )
% 191.87/191.83 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmult2__lemma__aux3,axiom,
% 191.87/191.83 ! [V_q,V_b,V_r,V_c] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.87/191.83 => 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))) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmult2__lemma__aux4,axiom,
% 191.87/191.83 ! [V_q,V_b,V_r,V_c] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.87/191.83 => 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))) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmult2__lemma__aux1,axiom,
% 191.87/191.83 ! [V_q,V_r,V_b,V_c] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.83 => 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))) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__number__of__Bit1,axiom,
% 191.87/191.83 ! [V_v,V_w] :
% 191.87/191.83 ( ( 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)))
% 191.87/191.83 => 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)) )
% 191.87/191.83 & ( ~ 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)))
% 191.87/191.83 => 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__zmod__mult__2,axiom,
% 191.87/191.83 ! [V_b,V_a] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_pos__zmod__mult__2,axiom,
% 191.87/191.83 ! [V_b,V_a] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_one__code__numeral__code,axiom,
% 191.87/191.83 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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__minus1,axiom,
% 191.87/191.83 ! [V_b] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__special_I2_J,axiom,
% 191.87/191.83 ! [V_v,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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)))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__special_I1_J,axiom,
% 191.87/191.83 ! [V_w,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_inj__uminus,axiom,
% 191.87/191.83 ! [V_A_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_negative__zle,axiom,
% 191.87/191.83 ! [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))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_negative__zless,axiom,
% 191.87/191.83 ! [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))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I8_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I28_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_number__of__minus,axiom,
% 191.87/191.83 ! [V_w,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_arith__simps_I30_J,axiom,
% 191.87/191.83 ! [V_w,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_code__numeral__zero__minus__one,axiom,
% 191.87/191.83 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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Int_OMin__def,axiom,
% 191.87/191.83 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__minus,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_double__compl,axiom,
% 191.87/191.83 ! [V_x,T_a] :
% 191.87/191.83 ( class_Lattices_Oboolean__algebra(T_a)
% 191.87/191.83 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_uminus__apply,axiom,
% 191.87/191.83 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.87/191.83 ( class_Groups_Ouminus(T_b)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_equation__minus__iff,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_b)
% 191.87/191.83 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 191.87/191.83 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__equation__iff,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_b)
% 191.87/191.83 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 191.87/191.83 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__equal__iff__equal,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_b)
% 191.87/191.83 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 191.87/191.83 <=> V_a_2 = V_b_2 ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_compl__eq__compl__iff,axiom,
% 191.87/191.83 ! [V_y_2,V_x_2,T_b] :
% 191.87/191.83 ( class_Lattices_Oboolean__algebra(T_b)
% 191.87/191.83 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 191.87/191.83 <=> V_x_2 = V_y_2 ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zminus__zminus,axiom,
% 191.87/191.83 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__Bit0,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I42_J,axiom,
% 191.87/191.83 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I45_J,axiom,
% 191.87/191.83 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I48_J,axiom,
% 191.87/191.83 ! [V_l_2,V_k_2] :
% 191.87/191.83 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 191.87/191.83 <=> V_k_2 = V_l_2 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mult__Min,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_pred__Min,axiom,
% 191.87/191.83 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mult__minus1__right,axiom,
% 191.87/191.83 ! [V_z,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mult__minus1,axiom,
% 191.87/191.83 ! [V_z,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__number__of__mult,axiom,
% 191.87/191.83 ! [V_z,V_w,T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_arith__simps_I31_J,axiom,
% 191.87/191.83 ! [T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_number__of__Min,axiom,
% 191.87/191.83 ! [T_a] :
% 191.87/191.83 ( class_Int_Onumber__ring(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I25_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I11_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_divide__minus1,axiom,
% 191.87/191.83 ! [V_x,T_a] :
% 191.87/191.83 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 191.87/191.83 & class_Int_Onumber__ring(T_a) )
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__Min,axiom,
% 191.87/191.83 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__bin__simps_I5_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__bin__simps_I6_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_compl__mono,axiom,
% 191.87/191.83 ! [V_y,V_x,T_a] :
% 191.87/191.83 ( class_Lattices_Oboolean__algebra(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.87/191.83 => 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))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__imp__neg__le,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.87/191.83 => 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))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_compl__le__compl__iff,axiom,
% 191.87/191.83 ! [V_y_2,V_x_2,T_b] :
% 191.87/191.83 ( class_Lattices_Oboolean__algebra(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__le__iff__le,axiom,
% 191.87/191.83 ! [V_a_2,V_b_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__le__iff,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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))
% 191.87/191.83 <=> 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__minus__iff,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> 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))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__zero,axiom,
% 191.87/191.83 ! [T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__0__equal__iff__equal,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_b)
% 191.87/191.83 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 191.87/191.83 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_equal__neg__zero,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.87/191.83 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 191.87/191.83 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__equal__0__iff__equal,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_b)
% 191.87/191.83 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.87/191.83 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__equal__zero,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.87/191.83 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 191.87/191.83 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__less__iff__less,axiom,
% 191.87/191.83 ! [V_a_2,V_b_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__less__iff,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__minus__iff,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__add__distrib,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oab__group__add(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__add,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__minus__cancel,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => 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 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__add__cancel,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => 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 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_square__eq__iff,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Rings_Oidom(T_b)
% 191.87/191.83 => ( 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)
% 191.87/191.83 <=> ( V_a_2 = V_b_2
% 191.87/191.83 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__mult__minus,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Rings_Oring(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__mult__commute,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Rings_Oring(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__mult__left,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Rings_Oring(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__mult__right,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Rings_Oring(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__diff__eq,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oab__group__add(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__less,axiom,
% 191.87/191.83 ! [V_n,V_m] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.87/191.83 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__minus__eq,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Oring__div(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__minus__cong,axiom,
% 191.87/191.83 ! [V_a_H,V_b,V_a,T_a] :
% 191.87/191.83 ( class_Divides_Oring__div(T_a)
% 191.87/191.83 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 191.87/191.83 => 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) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__less__eq__dividend,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__eq__int__code_I13_J,axiom,
% 191.87/191.83 ! [V_k2_2,V_k1_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I31_J,axiom,
% 191.87/191.83 ! [V_l_2,V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__int__code_I13_J,axiom,
% 191.87/191.83 ! [V_k2_2,V_k1_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I14_J,axiom,
% 191.87/191.83 ! [V_l_2,V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zminus__0,axiom,
% 191.87/191.83 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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Bit0__Pls,axiom,
% 191.87/191.83 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I38_J,axiom,
% 191.87/191.83 ! [V_l_2] :
% 191.87/191.83 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 191.87/191.83 <=> c_Int_OPls = V_l_2 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I44_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 191.87/191.83 <=> V_k_2 = c_Int_OPls ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I49_J,axiom,
% 191.87/191.83 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I50_J,axiom,
% 191.87/191.83 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__distrib2,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__distrib,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Bit0__def,axiom,
% 191.87/191.83 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__Bit0__Bit0,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I24_J,axiom,
% 191.87/191.83 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I7_J,axiom,
% 191.87/191.83 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__divide__left,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Rings_Odivision__ring(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__divide__right,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__divide__divide,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mult__Bit0,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__minus__cancel,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I40_J,axiom,
% 191.87/191.83 c_Int_OMin != c_Int_OPls ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I37_J,axiom,
% 191.87/191.83 c_Int_OPls != c_Int_OMin ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Bit1__Min,axiom,
% 191.87/191.83 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I43_J,axiom,
% 191.87/191.83 ! [V_l_2] :
% 191.87/191.83 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 191.87/191.83 <=> c_Int_OMin = V_l_2 ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I47_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 191.87/191.83 <=> V_k_2 = c_Int_OMin ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__Pls,axiom,
% 191.87/191.83 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zminus__zadd__distrib,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__numeral__code_I5_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__bin__simps_I7_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmult__zminus,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__zminus2,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__zminus__zminus,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zminus__zmod,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus1__divide,axiom,
% 191.87/191.83 ! [V_x,T_a] :
% 191.87/191.83 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 191.87/191.83 & class_Int_Onumber__ring(T_a) )
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod2__Suc__Suc,axiom,
% 191.87/191.83 ! [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)))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__0__le__iff__le,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__minus__self__iff,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__le__0__iff__le,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__le__self__iff,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__minus__self__iff,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Rings_Olinordered__idom(T_b)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__0__less__iff__less,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__less__0__iff__less,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.87/191.83 => ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__less__nonneg,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_right__minus,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_b)
% 191.87/191.83 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 191.87/191.83 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_left__minus,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_ab__left__minus,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oab__group__add(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__unique,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.83 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__0,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 191.87/191.83 ! [V_y,V_x,T_a] :
% 191.87/191.83 ( class_Rings_Ocomm__ring__1(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__minus__eq__add,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_ab__diff__minus,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oab__group__add(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__def,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Ogroup__add(T_a)
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 191.87/191.83 ! [V_x,T_a] :
% 191.87/191.83 ( class_Rings_Ocomm__ring__1(T_a)
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_square__eq__1__iff,axiom,
% 191.87/191.83 ! [V_x_2,T_b] :
% 191.87/191.83 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 191.87/191.83 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 191.87/191.83 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 191.87/191.83 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__Suc,axiom,
% 191.87/191.83 ! [V_n,V_m] :
% 191.87/191.83 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 191.87/191.83 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.87/191.83 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 191.87/191.83 => 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__1,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__less__divisor,axiom,
% 191.87/191.83 ! [V_m,V_n] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.87/191.83 => 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)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_nonzero__minus__divide__right,axiom,
% 191.87/191.83 ! [V_a,V_b,T_a] :
% 191.87/191.83 ( class_Rings_Odivision__ring(T_a)
% 191.87/191.83 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.83 => 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)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_nonzero__minus__divide__divide,axiom,
% 191.87/191.83 ! [V_a,V_b,T_a] :
% 191.87/191.83 ( class_Rings_Odivision__ring(T_a)
% 191.87/191.83 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.83 => 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) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__ge__minus__self,axiom,
% 191.87/191.83 ! [V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => 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))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__le__iff,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.87/191.83 => ( 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))
% 191.87/191.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.87/191.83 & 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)) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__leI,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 191.87/191.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__le__D2,axiom,
% 191.87/191.83 ! [V_b,V_a,T_a] :
% 191.87/191.83 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 191.87/191.83 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_abs__less__iff,axiom,
% 191.87/191.83 ! [V_b_2,V_a_2,T_b] :
% 191.87/191.83 ( class_Rings_Olinordered__idom(T_b)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 191.87/191.83 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.87/191.83 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__eq__0__iff,axiom,
% 191.87/191.83 ! [V_d_2,V_m_2] :
% 191.87/191.83 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.87/191.83 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_bin__less__0__simps_I3_J,axiom,
% 191.87/191.83 ! [V_w_2] :
% 191.87/191.83 ( 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)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__if,axiom,
% 191.87/191.83 ! [V_n,V_m] :
% 191.87/191.83 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.87/191.83 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 191.87/191.83 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.87/191.83 => 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) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__geq,axiom,
% 191.87/191.83 ! [V_n,V_m] :
% 191.87/191.83 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_mod__mult__self3,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I21_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I27_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I32_J,axiom,
% 191.87/191.83 ! [V_l_2,V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__eq__int__code_I14_J,axiom,
% 191.87/191.83 ! [V_k2_2,V_k1_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_le__mod__geq,axiom,
% 191.87/191.83 ! [V_m,V_n] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.87/191.83 => 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) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I4_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I10_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I16_J,axiom,
% 191.87/191.83 ! [V_l_2,V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_less__int__code_I15_J,axiom,
% 191.87/191.83 ! [V_k2_2,V_k1_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__Bit1__Bit0,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_add__Bit0__Bit1,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_bin__less__0__simps_I2_J,axiom,
% 191.87/191.83 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zadd__zminus__inverse2,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_negative__eq__positive,axiom,
% 191.87/191.83 ! [V_m_2,V_na_2] :
% 191.87/191.83 ( 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)
% 191.87/191.83 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.87/191.83 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I23_J,axiom,
% 191.87/191.83 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I20_J,axiom,
% 191.87/191.83 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I26_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I30_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I6_J,axiom,
% 191.87/191.83 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I3_J,axiom,
% 191.87/191.83 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I9_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_rel__simps_I13_J,axiom,
% 191.87/191.83 ! [V_k_2] :
% 191.87/191.83 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 191.87/191.83 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__bin__simps_I3_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__bin__simps_I9_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__bin__simps_I10_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__int,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_eq__number__of__Pls__Min,axiom,
% 191.87/191.83 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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_not__int__zless__negative,axiom,
% 191.87/191.83 ! [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)))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__zminus1__not__zero,axiom,
% 191.87/191.83 ! [V_l,V_k] :
% 191.87/191.83 ( 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)
% 191.87/191.83 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_zmod__zminus2__not__zero,axiom,
% 191.87/191.83 ! [V_l,V_k] :
% 191.87/191.83 ( 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)
% 191.87/191.83 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__int__def__symmetric,axiom,
% 191.87/191.83 ! [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) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_diff__int__def,axiom,
% 191.87/191.83 ! [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)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_Ints__minus,axiom,
% 191.87/191.83 ! [V_a_2,T_b] :
% 191.87/191.83 ( class_Rings_Oring__1(T_b)
% 191.87/191.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.87/191.83 => 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))) ) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__number__of__Bit0,axiom,
% 191.87/191.83 ! [V_w_2] :
% 191.87/191.83 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 191.87/191.83 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_pred__Bit0,axiom,
% 191.87/191.83 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_pred__Bit1,axiom,
% 191.87/191.83 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_neg__number__of__Min,axiom,
% 191.87/191.83 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 191.87/191.83
% 191.87/191.83 fof(fact_pred__Pls,axiom,
% 191.87/191.83 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 191.87/191.83
% 191.87/191.83 fof(fact_minus__Bit1,axiom,
% 191.87/191.84 ! [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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_add__Min__right,axiom,
% 191.87/191.84 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_add__Min,axiom,
% 191.87/191.84 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_succ__Bit1,axiom,
% 191.87/191.84 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_succ__Bit0,axiom,
% 191.87/191.84 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_succ__Min,axiom,
% 191.87/191.84 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 191.87/191.84
% 191.87/191.84 fof(fact_diff__bin__simps_I2_J,axiom,
% 191.87/191.84 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_mod2__gr__0,axiom,
% 191.87/191.84 ! [V_m_2] :
% 191.87/191.84 ( 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))))))
% 191.87/191.84 <=> 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_number__of__Bit0,axiom,
% 191.87/191.84 ! [V_w,T_a] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 => 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)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_abs__of__nonpos,axiom,
% 191.87/191.84 ! [V_a,T_a] :
% 191.87/191.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.87/191.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_abs__minus__le__zero,axiom,
% 191.87/191.84 ! [V_a,T_a] :
% 191.87/191.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.84 => 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))) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_abs__if,axiom,
% 191.87/191.84 ! [V_a,T_a] :
% 191.87/191.84 ( class_Groups_Oabs__if(T_a)
% 191.87/191.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.87/191.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 191.87/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.87/191.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_abs__of__neg,axiom,
% 191.87/191.84 ! [V_a,T_a] :
% 191.87/191.84 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.87/191.84 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_mod__le__divisor,axiom,
% 191.87/191.84 ! [V_m,V_n] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.87/191.84 => 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)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_mod__mult__self4,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_rel__simps_I15_J,axiom,
% 191.87/191.84 ! [V_l_2,V_k_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_less__int__code_I14_J,axiom,
% 191.87/191.84 ! [V_k2_2,V_k1_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_rel__simps_I33_J,axiom,
% 191.87/191.84 ! [V_l_2,V_k_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_less__eq__int__code_I15_J,axiom,
% 191.87/191.84 ! [V_k2_2,V_k1_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_diff__number__of__eq,axiom,
% 191.87/191.84 ! [V_w,V_v,T_a] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 => 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))) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_mult__Bit1,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_abs__minus__one,axiom,
% 191.87/191.84 ! [T_a] :
% 191.87/191.84 ( ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 & class_Rings_Olinordered__idom(T_a) )
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_int__zle__neg,axiom,
% 191.87/191.84 ! [V_m_2,V_na_2] :
% 191.87/191.84 ( 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))))
% 191.87/191.84 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.87/191.84 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_negative__zle__0,axiom,
% 191.87/191.84 ! [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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zmod__minus1__right,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_diff__bin__simps_I4_J,axiom,
% 191.87/191.84 ! [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)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 191.87/191.84 ! [V_n,V_m] :
% 191.87/191.84 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.87/191.84 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.87/191.84 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zmult__eq__1__iff,axiom,
% 191.87/191.84 ! [V_na_2,V_m_2] :
% 191.87/191.84 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.87/191.84 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.87/191.84 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 191.87/191.84 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 191.87/191.84 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_minus__numeral__code_I6_J,axiom,
% 191.87/191.84 ! [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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zmod__zminus2__eq__if,axiom,
% 191.87/191.84 ! [V_b,V_a] :
% 191.87/191.84 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.84 => 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) )
% 191.87/191.84 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.84 => 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) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zmod__zminus1__eq__if,axiom,
% 191.87/191.84 ! [V_b,V_a] :
% 191.87/191.84 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.84 => 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) )
% 191.87/191.84 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.84 => 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)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zabs__def,axiom,
% 191.87/191.84 ! [V_i] :
% 191.87/191.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 191.87/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_neg__zminus__int,axiom,
% 191.87/191.84 ! [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))))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_diff__bin__simps_I8_J,axiom,
% 191.87/191.84 ! [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)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_add__Bit1__Bit1,axiom,
% 191.87/191.84 ! [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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zero__code__numeral__code,axiom,
% 191.87/191.84 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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_double__number__of__Bit0,axiom,
% 191.87/191.84 ! [V_w,T_a] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 => 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)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_abs__number__of,axiom,
% 191.87/191.84 ! [V_x,T_a] :
% 191.87/191.84 ( ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 & class_Rings_Olinordered__idom(T_a) )
% 191.87/191.84 => ( ( 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)))
% 191.87/191.84 => 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)) )
% 191.87/191.84 & ( ~ 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)))
% 191.87/191.84 => 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) ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_split__mod,axiom,
% 191.87/191.84 ! [V_k_2,V_na_2,V_Pa_2] :
% 191.87/191.84 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2)))
% 191.87/191.84 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.87/191.84 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 191.87/191.84 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.87/191.84 => ! [B_i,B_j] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 191.87/191.84 => ( 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)
% 191.87/191.84 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_mod__lemma,axiom,
% 191.87/191.84 ! [V_q,V_b,V_r,V_c] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 191.87/191.84 => 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))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_add__number__of__diff2,axiom,
% 191.87/191.84 ! [V_w,V_c,V_v,T_a] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_number__of1,axiom,
% 191.87/191.84 ! [V_n] :
% 191.87/191.84 ( 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_n)))
% 191.87/191.84 => ( 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),c_Int_OBit0(V_n))))
% 191.87/191.84 & 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),c_Int_OBit1(V_n)))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_Suc__times__mod__eq,axiom,
% 191.87/191.84 ! [V_m,V_k] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_number__of__pred,axiom,
% 191.87/191.84 ! [V_w,T_a] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 => 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)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_not__zle__0__negative,axiom,
% 191.87/191.84 ! [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))))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_negative__zless__0,axiom,
% 191.87/191.84 ! [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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_mult__2,axiom,
% 191.87/191.84 ! [V_z,T_a] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_mult__2__right,axiom,
% 191.87/191.84 ! [V_z,T_a] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_one__add__one__is__two,axiom,
% 191.87/191.84 ! [T_a] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_a)
% 191.87/191.84 => 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))) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 191.87/191.84 ! [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)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 191.87/191.84 ! [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)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_numeral__2__eq__2,axiom,
% 191.87/191.84 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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_semiring__norm_I115_J,axiom,
% 191.87/191.84 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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 191.87/191.84 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),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_add__2__eq__Suc,axiom,
% 191.87/191.84 ! [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)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_add__2__eq__Suc_H,axiom,
% 191.87/191.84 ! [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)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__mult__2,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__mult__2__right,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 191.87/191.84 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)))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__1__add__1,axiom,
% 191.87/191.84 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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zmod__number__of__Bit0,axiom,
% 191.87/191.84 ! [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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_half__gt__zero,axiom,
% 191.87/191.84 ! [V_r,T_a] :
% 191.87/191.84 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.87/191.84 & class_Int_Onumber__ring(T_a) )
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 191.87/191.84 => 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)))))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_half__gt__zero__iff,axiom,
% 191.87/191.84 ! [V_r_2,T_b] :
% 191.87/191.84 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.87/191.84 & class_Int_Onumber__ring(T_b) )
% 191.87/191.84 => ( 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))))))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_less__2__cases,axiom,
% 191.87/191.84 ! [V_n] :
% 191.87/191.84 ( 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)))))
% 191.87/191.84 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.87/191.84 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_eq__special_I4_J,axiom,
% 191.87/191.84 ! [V_x_2,T_b] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_b)
% 191.87/191.84 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 191.87/191.84 <=> 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))))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_eq__special_I2_J,axiom,
% 191.87/191.84 ! [V_y_2,T_b] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_b)
% 191.87/191.84 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.87/191.84 <=> 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)))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_z3mod__def,axiom,
% 191.87/191.84 ! [V_k,V_l] :
% 191.87/191.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.87/191.84 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 191.87/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.87/191.84 => 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)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_pos__zdiv__mult__2,axiom,
% 191.87/191.84 ! [V_b,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_neg__zdiv__mult__2,axiom,
% 191.87/191.84 ! [V_b,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_of__nat__double,axiom,
% 191.87/191.84 ! [V_x,T_a] :
% 191.87/191.84 ( class_Rings_Osemiring__1(T_a)
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.87/191.84 => 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))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_eq__special_I3_J,axiom,
% 191.87/191.84 ! [V_x_2,T_b] :
% 191.87/191.84 ( class_Int_Onumber__ring(T_b)
% 191.87/191.84 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.87/191.84 <=> 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)))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_ComplI,axiom,
% 191.87/191.84 ! [V_A_2,V_c_2,T_b] :
% 191.87/191.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.87/191.84 => 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))) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_ComplE,axiom,
% 191.87/191.84 ! [V_A_2,V_c_2,T_b] :
% 191.87/191.84 ( 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)))
% 191.87/191.84 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_ComplD,axiom,
% 191.87/191.84 ! [V_A_2,V_c_2,T_b] :
% 191.87/191.84 ( 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)))
% 191.87/191.84 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_Compl__iff,axiom,
% 191.87/191.84 ! [V_A_2,V_c_2,T_b] :
% 191.87/191.84 ( 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)))
% 191.87/191.84 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__zero,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_Compl__subset__Compl__iff,axiom,
% 191.87/191.84 ! [V_B_2,V_A_2,T_b] :
% 191.87/191.84 ( 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)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_Compl__anti__mono,axiom,
% 191.87/191.84 ! [V_B_2,V_A_2,T_b] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.87/191.84 => 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)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__int,axiom,
% 191.87/191.84 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__zminus__zminus,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__zminus2,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__0,axiom,
% 191.87/191.84 ! [V_a,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__by__0,axiom,
% 191.87/191.84 ! [V_a,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__by__1,axiom,
% 191.87/191.84 ! [V_a,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_iszero__0,axiom,
% 191.87/191.84 ! [T_a] :
% 191.87/191.84 ( class_Rings_Osemiring__1(T_a)
% 191.87/191.84 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_iszero__def,axiom,
% 191.87/191.84 ! [V_z_2,T_b] :
% 191.87/191.84 ( class_Rings_Osemiring__1(T_b)
% 191.87/191.84 => ( c_Int_Oiszero(T_b,V_z_2)
% 191.87/191.84 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 191.87/191.84 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__0,axiom,
% 191.87/191.84 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 191.87/191.84 ! [V_y,V_x] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.87/191.84 => 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))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_not__iszero__1,axiom,
% 191.87/191.84 ! [T_a] :
% 191.87/191.84 ( class_Rings_Osemiring__1(T_a)
% 191.87/191.84 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 191.87/191.84 ! [V_a_2,V_b_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 191.87/191.84 => ( 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)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 191.87/191.84 ! [V_a_2,V_b_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => ( 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)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__neg__pos__less0,axiom,
% 191.87/191.84 ! [V_b,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.87/191.84 => 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))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_ex__nat,axiom,
% 191.87/191.84 ! [V_Pa_2] :
% 191.87/191.84 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.87/191.84 <=> ? [B_x] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.87/191.84 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_all__nat,axiom,
% 191.87/191.84 ! [V_Pa_2] :
% 191.87/191.84 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.87/191.84 <=> ! [B_x] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.87/191.84 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 191.87/191.84 ! [V_y_2,V_x_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 191.87/191.84 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 191.87/191.84 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_eq__nat__nat__iff,axiom,
% 191.87/191.84 ! [V_z_H_2,V_z_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 191.87/191.84 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 191.87/191.84 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__self,axiom,
% 191.87/191.84 ! [V_a] :
% 191.87/191.84 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_subset__Compl__self__eq,axiom,
% 191.87/191.84 ! [V_A_2,T_b] :
% 191.87/191.84 ( 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)))
% 191.87/191.84 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__number__of__Bit0,axiom,
% 191.87/191.84 ! [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)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_DIVISION__BY__ZERO,axiom,
% 191.87/191.84 ! [V_a] :
% 191.87/191.84 ( 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)
% 191.87/191.84 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zmod__zdiv__trivial,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__number__of__def,axiom,
% 191.87/191.84 ! [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)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__number__of,axiom,
% 191.87/191.84 ! [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) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__zadd1__eq,axiom,
% 191.87/191.84 ! [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)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 191.87/191.84 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_neg__nat,axiom,
% 191.87/191.84 ! [V_z] :
% 191.87/191.84 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 191.87/191.84 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_not__neg__nat,axiom,
% 191.87/191.84 ! [V_z] :
% 191.87/191.84 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 191.87/191.84 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__mult__mult1__if,axiom,
% 191.87/191.84 ! [V_b,V_a,V_c,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.84 => 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) )
% 191.87/191.84 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.84 => 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) ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__mult__self2__is__id,axiom,
% 191.87/191.84 ! [V_a,V_b,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.84 => 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 ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__mult__self1__is__id,axiom,
% 191.87/191.84 ! [V_a,V_b,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.84 => 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 ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__mult__mult2,axiom,
% 191.87/191.84 ! [V_b,V_a,V_c,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.84 => 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) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__mult__mult1,axiom,
% 191.87/191.84 ! [V_b,V_a,V_c,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.84 => 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) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__self,axiom,
% 191.87/191.84 ! [V_a,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.87/191.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 191.87/191.84 ! [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 ).
% 191.87/191.84
% 191.87/191.84 fof(fact_mod__div__trivial,axiom,
% 191.87/191.84 ! [V_b,V_a,T_a] :
% 191.87/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 191.87/191.84 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))) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__0__iff,axiom,
% 191.87/191.84 ! [V_i_2] :
% 191.87/191.84 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__le__0,axiom,
% 191.87/191.84 ! [V_z] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__eq__0__iff,axiom,
% 191.87/191.84 ! [V_k_2,V_i_2] :
% 191.87/191.84 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.84 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.87/191.84 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 191.87/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 191.87/191.84 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 191.87/191.84 ! [V_a_2,V_b_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 191.87/191.84 => ( 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)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 191.87/191.84 ! [V_i_2,V_k_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.87/191.84 => ( 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)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 191.87/191.84 ! [V_b_2,V_a_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 191.87/191.84 => ( 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)))
% 191.87/191.84 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 191.87/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__mono2,axiom,
% 191.87/191.84 ! [V_b,V_b_H,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 191.87/191.84 => 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))) ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__nonneg__neg__le0,axiom,
% 191.87/191.84 ! [V_b,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => 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))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__pos__pos__trivial,axiom,
% 191.87/191.84 ! [V_b,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.87/191.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 191.87/191.84 ! [V_a_2,V_b_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => ( 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)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__nonpos__pos__le0,axiom,
% 191.87/191.84 ! [V_b,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.87/191.84 => 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))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__mono2__neg,axiom,
% 191.87/191.84 ! [V_b,V_b_H,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 191.87/191.84 => 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))) ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_div__neg__neg__trivial,axiom,
% 191.87/191.84 ! [V_b,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 191.87/191.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__mono1,axiom,
% 191.87/191.84 ! [V_b,V_a_H,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.87/191.84 => 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))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__mono1__neg,axiom,
% 191.87/191.84 ! [V_b,V_a_H,V_a] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.87/191.84 => 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))) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zless__nat__conj,axiom,
% 191.87/191.84 ! [V_z_2,V_w_2] :
% 191.87/191.84 ( 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)))
% 191.87/191.84 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 191.87/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__mono__iff,axiom,
% 191.87/191.84 ! [V_w_2,V_z_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 191.87/191.84 => ( 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)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 191.87/191.84 ! [V_y_2,V_x_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 191.87/191.84 => ( 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)))
% 191.87/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__1,axiom,
% 191.87/191.84 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_int__div__less__self,axiom,
% 191.87/191.84 ! [V_k,V_x] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.87/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 191.87/191.84 => 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)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zdiv__zmult2__eq,axiom,
% 191.87/191.84 ! [V_b,V_a,V_c] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.87/191.84 => 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) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_int__nat__eq,axiom,
% 191.87/191.84 ! [V_z] :
% 191.87/191.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.87/191.84 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 191.87/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.87/191.84 => 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) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_int__eq__iff,axiom,
% 191.87/191.84 ! [V_z_2,V_m_2] :
% 191.87/191.84 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 191.87/191.84 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 191.87/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__0__le,axiom,
% 191.87/191.84 ! [V_z] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.87/191.84 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_zless__nat__eq__int__zless,axiom,
% 191.87/191.84 ! [V_z_2,V_m_2] :
% 191.87/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 191.87/191.84 <=> 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)) ) ).
% 191.87/191.84
% 191.87/191.84 fof(fact_nat__mod__distrib,axiom,
% 191.87/191.84 ! [V_y,V_x] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 191.91/191.84 ! [V_y,V_x] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__zminus__int,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zmod__zdiv__equality,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zdiv__zmult1__eq,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zdiv__zmod__equality,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zdiv__zmod__equality2,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zdiv__minus1__right,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zmod__zdiv__equality_H,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zmult__div__cancel,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__abs__mult__distrib,axiom,
% 191.91/191.84 ! [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))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__mult__self1,axiom,
% 191.91/191.84 ! [V_c,V_a,V_b,T_a] :
% 191.91/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__mult__self2,axiom,
% 191.91/191.84 ! [V_c,V_a,V_b,T_a] :
% 191.91/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__add__self2,axiom,
% 191.91/191.84 ! [V_a,V_b,T_a] :
% 191.91/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__add__self1,axiom,
% 191.91/191.84 ! [V_a,V_b,T_a] :
% 191.91/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 191.91/191.84 ! [V_b,V_a,T_a] :
% 191.91/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.84 => 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 ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_mod__div__equality2,axiom,
% 191.91/191.84 ! [V_a,V_b,T_a] :
% 191.91/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.84 => 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 ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_mod__div__equality,axiom,
% 191.91/191.84 ! [V_b,V_a,T_a] :
% 191.91/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.84 => 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 ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__mod__equality2,axiom,
% 191.91/191.84 ! [V_c,V_a,V_b,T_a] :
% 191.91/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__mod__equality,axiom,
% 191.91/191.84 ! [V_c,V_b,V_a,T_a] :
% 191.91/191.84 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_iszero__Numeral0,axiom,
% 191.91/191.84 ! [T_a] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_iszero__number__of__Bit1,axiom,
% 191.91/191.84 ! [V_w,T_a] :
% 191.91/191.84 ( ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 & class_Int_Oring__char__0(T_a) )
% 191.91/191.84 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_iszero__number__of__Bit0,axiom,
% 191.91/191.84 ! [V_w_2,T_b] :
% 191.91/191.84 ( ( class_Int_Onumber__ring(T_b)
% 191.91/191.84 & class_Int_Oring__char__0(T_b) )
% 191.91/191.84 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 191.91/191.84 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nonzero__number__of__Min,axiom,
% 191.91/191.84 ! [T_a] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__less__nat__eq,axiom,
% 191.91/191.84 ! [V_z_2] :
% 191.91/191.84 ( 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)))
% 191.91/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 191.91/191.84 ! [V_y_2,V_x_2] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__less__eq__zless,axiom,
% 191.91/191.84 ! [V_z_2,V_w_2] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__eq__iff,axiom,
% 191.91/191.84 ! [V_m_2,V_w_2] :
% 191.91/191.84 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 191.91/191.84 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/191.84 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/191.84 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__eq__iff2,axiom,
% 191.91/191.84 ! [V_w_2,V_m_2] :
% 191.91/191.84 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 191.91/191.84 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/191.84 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/191.84 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__le__eq__zle,axiom,
% 191.91/191.84 ! [V_z_2,V_w_2] :
% 191.91/191.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/191.84 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 191.91/191.84 => ( 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)))
% 191.91/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_split__nat,axiom,
% 191.91/191.84 ! [V_i_2,V_Pa_2] :
% 191.91/191.84 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 191.91/191.84 <=> ( ! [B_n] :
% 191.91/191.84 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 191.91/191.84 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 191.91/191.84 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.84 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 191.91/191.84 ! [V_y,V_x] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__add__distrib,axiom,
% 191.91/191.84 ! [V_z_H,V_z] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_int__eq__iff__number__of,axiom,
% 191.91/191.84 ! [V_v_2,V_m_2] :
% 191.91/191.84 ( 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)
% 191.91/191.84 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 191.91/191.84 & 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_v_2))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 191.91/191.84 ! [V_y,V_x] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__mult__distrib,axiom,
% 191.91/191.84 ! [V_z_H,V_z] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__eq__minus1,axiom,
% 191.91/191.84 ! [V_b] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__diff__distrib,axiom,
% 191.91/191.84 ! [V_z,V_z_H] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 191.91/191.84 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)))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 191.91/191.84 ! [V_y,V_x] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_one__less__nat__eq,axiom,
% 191.91/191.84 ! [V_z_2] :
% 191.91/191.84 ( 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)))
% 191.91/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_split__zdiv,axiom,
% 191.91/191.84 ! [V_k_2,V_na_2,V_Pa_2] :
% 191.91/191.84 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)))
% 191.91/191.84 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.84 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.84 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.91/191.84 => ! [B_i] :
% 191.91/191.84 ( ? [B_j] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 191.91/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 191.91/191.84 & 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) )
% 191.91/191.84 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 191.91/191.84 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.84 => ! [B_i] :
% 191.91/191.84 ( ? [B_j] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 191.91/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.84 & 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) )
% 191.91/191.84 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_divmod__int__rel__div__eq,axiom,
% 191.91/191.84 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 191.91/191.84 ( 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)
% 191.91/191.84 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 191.91/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 191.91/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 191.91/191.84 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__less__iff,axiom,
% 191.91/191.84 ! [V_m_2,V_w_2] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 191.91/191.84 <=> 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 191.91/191.84 ! [V_z] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zmod__zmult2__eq,axiom,
% 191.91/191.84 ! [V_b,V_a,V_c] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 191.91/191.84 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)))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__mult__distrib__neg,axiom,
% 191.91/191.84 ! [V_z_H,V_z] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.84 => 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))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zdiv__zminus1__eq__if,axiom,
% 191.91/191.84 ! [V_a,V_b] :
% 191.91/191.84 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.84 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.84 => 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)) )
% 191.91/191.84 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.84 => 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)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zdiv__zminus2__eq__if,axiom,
% 191.91/191.84 ! [V_a,V_b] :
% 191.91/191.84 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.84 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.84 => 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)) )
% 191.91/191.84 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.84 => 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)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_mod__nat__number__of,axiom,
% 191.91/191.84 ! [V_v_H,V_v] :
% 191.91/191.84 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/191.84 => 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) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/191.84 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/191.84 => 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) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/191.84 => 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))) ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_not__iszero__Numeral1,axiom,
% 191.91/191.84 ! [T_a] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_eq__number__of__eq,axiom,
% 191.91/191.84 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_b)
% 191.91/191.84 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.91/191.84 <=> 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)))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__2,axiom,
% 191.91/191.84 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))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__pos__neg__trivial,axiom,
% 191.91/191.84 ! [V_b,V_a] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 => 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) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_split__pos__lemma,axiom,
% 191.91/191.84 ! [V_na_2,V_Pa_2,V_k_2] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 <=> ! [B_i,B_j] :
% 191.91/191.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 191.91/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 191.91/191.84 & 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) )
% 191.91/191.84 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_split__neg__lemma,axiom,
% 191.91/191.84 ! [V_na_2,V_Pa_2,V_k_2] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 <=> ! [B_i,B_j] :
% 191.91/191.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 191.91/191.84 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.84 & 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) )
% 191.91/191.84 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zdiv__number__of__Bit1,axiom,
% 191.91/191.84 ! [V_v,V_w] :
% 191.91/191.84 ( ( 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)))
% 191.91/191.84 => 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)) )
% 191.91/191.84 & ( ~ 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)))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_one__mod__nat__number__of,axiom,
% 191.91/191.84 ! [V_v_H] :
% 191.91/191.84 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/191.84 => 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)) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_eq__special_I1_J,axiom,
% 191.91/191.84 ! [V_y_2,T_b] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_b)
% 191.91/191.84 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.91/191.84 <=> 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)))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_z3div__def,axiom,
% 191.91/191.84 ! [V_k,V_l] :
% 191.91/191.84 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/191.84 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__aux__def,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__of__aux__code,axiom,
% 191.91/191.84 ! [V_n,V_i] :
% 191.91/191.84 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.84 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 191.91/191.84 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_transfer__morphism__nat__int,axiom,
% 191.91/191.84 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))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__m1__odd,axiom,
% 191.91/191.84 ! [V_n,T_a] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__m1__even,axiom,
% 191.91/191.84 ! [V_n,T_a] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_double__complement,axiom,
% 191.91/191.84 ! [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 ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Compl__eq__Compl__iff,axiom,
% 191.91/191.84 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.84 ( 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)
% 191.91/191.84 <=> V_A_2 = V_B_2 ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_int__power,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zpower__int,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 191.91/191.84 ! [V_q,V_y,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__le__mono,axiom,
% 191.91/191.84 ! [V_k,V_n,V_m] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/191.84 => 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))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__le__dividend,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__mult2__eq,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 191.91/191.84 ! [V_q,V_p,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zpower__zpower,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 191.91/191.84 ! [V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zpower__zmod,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__power__eq,axiom,
% 191.91/191.84 ! [V_n,V_z] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 191.91/191.84 ! [V_n,V_x] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__1,axiom,
% 191.91/191.84 ! [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 ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__less,axiom,
% 191.91/191.84 ! [V_n,V_m] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/191.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__mult__div__cancel__disj,axiom,
% 191.91/191.84 ! [V_n,V_m,V_k] :
% 191.91/191.84 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 => 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) )
% 191.91/191.84 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 => 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) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 191.91/191.84 ! [V_q,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 191.91/191.84 ! [V_q,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 191.91/191.84 ! [V_q,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 191.91/191.84 ! [V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 191.91/191.84 ! [V_q,V_p,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 191.91/191.84 ! [V_n,V_x] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/191.84 => 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))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__add1__eq,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zdiv__int,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zpower__zadd__distrib,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Ints__power,axiom,
% 191.91/191.84 ! [V_na_2,V_a_2,T_b] :
% 191.91/191.84 ( class_Rings_Oring__1(T_b)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__nat__number__of__number__of,axiom,
% 191.91/191.84 ! [V_w,V_v] :
% 191.91/191.84 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/191.84 => 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)) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__nat__number__of,axiom,
% 191.91/191.84 ! [V_n,V_v] :
% 191.91/191.84 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/191.84 => 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) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__le__mono2,axiom,
% 191.91/191.84 ! [V_k,V_n,V_m] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__mult__self__is__m,axiom,
% 191.91/191.84 ! [V_m,V_n] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.84 => 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 ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__mult__self1__is__m,axiom,
% 191.91/191.84 ! [V_m,V_n] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.84 => 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 ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__mult__div__cancel1,axiom,
% 191.91/191.84 ! [V_n,V_m,V_k] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__less__dividend,axiom,
% 191.91/191.84 ! [V_m,V_n] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__mult1__eq,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_mod__mult2__eq,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Divides_Omod__div__equality_H,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_mult__div__cancel,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__mod__equality_H,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__le__zpower__abs,axiom,
% 191.91/191.84 ! [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))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__geq,axiom,
% 191.91/191.84 ! [V_m,V_n] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.84 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__if,axiom,
% 191.91/191.84 ! [V_m,V_n] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/191.84 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/191.84 => 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)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_split__div,axiom,
% 191.91/191.84 ! [V_k_2,V_na_2,V_Pa_2] :
% 191.91/191.84 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2)))
% 191.91/191.84 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 191.91/191.84 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 => ! [B_i,B_j] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 191.91/191.84 => ( 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)
% 191.91/191.84 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__div__distrib,axiom,
% 191.91/191.84 ! [V_y,V_x] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 191.91/191.84 ! [V_y,V_x] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power3__eq__cube,axiom,
% 191.91/191.84 ! [V_a,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_abs__power__minus__one,axiom,
% 191.91/191.84 ! [V_n,T_a] :
% 191.91/191.84 ( ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 & class_Rings_Olinordered__idom(T_a) )
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__eq__if,axiom,
% 191.91/191.84 ! [V_p,V_m] :
% 191.91/191.84 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 191.91/191.84 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 => 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)))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__less__zpower__abs__iff,axiom,
% 191.91/191.84 ! [V_na_2,V_x_2] :
% 191.91/191.84 ( 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)))
% 191.91/191.84 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.84 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_le__div__geq,axiom,
% 191.91/191.84 ! [V_m,V_n] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_split__div_H,axiom,
% 191.91/191.84 ! [V_na_2,V_m_2,V_Pa_2] :
% 191.91/191.84 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2)))
% 191.91/191.84 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 191.91/191.84 | ? [B_q] :
% 191.91/191.84 ( 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))
% 191.91/191.84 & 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))))
% 191.91/191.84 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_split__div__lemma,axiom,
% 191.91/191.84 ! [V_m_2,V_q_2,V_na_2] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 191.91/191.84 => ( ( 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))
% 191.91/191.84 & 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)))) )
% 191.91/191.84 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__Suc__eq__div__add3,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Suc__div__eq__add3__div,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div2__Suc__Suc,axiom,
% 191.91/191.84 ! [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))))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_add__self__div__2,axiom,
% 191.91/191.84 ! [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 ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__eq__power2,axiom,
% 191.91/191.84 ! [V_a_2,T_b] :
% 191.91/191.84 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 191.91/191.84 => ( 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)
% 191.91/191.84 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__power2,axiom,
% 191.91/191.84 ! [T_a] :
% 191.91/191.84 ( class_Rings_Osemiring__1(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 191.91/191.84 ! [V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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)))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__eq__square,axiom,
% 191.91/191.84 ! [V_a,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_one__power2,axiom,
% 191.91/191.84 ! [T_a] :
% 191.91/191.84 ( class_Rings_Osemiring__1(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__minus,axiom,
% 191.91/191.84 ! [V_a,T_a] :
% 191.91/191.84 ( class_Rings_Oring__1(T_a)
% 191.91/191.84 => 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)))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__even__eq,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => 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)))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_abs__power2,axiom,
% 191.91/191.84 ! [V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => 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)))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__abs,axiom,
% 191.91/191.84 ! [V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => 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)))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__le__power2,axiom,
% 191.91/191.84 ! [V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => 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)))))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__le__imp__le,axiom,
% 191.91/191.84 ! [V_y,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( 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))))))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/191.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__eq__imp__eq,axiom,
% 191.91/191.84 ! [V_y,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( 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))))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/191.84 => V_x = V_y ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__less__0,axiom,
% 191.91/191.84 ! [V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => ~ 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))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__less__power2,axiom,
% 191.91/191.84 ! [V_a_2,T_b] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.84 => ( 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))))))
% 191.91/191.84 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_sum__power2__eq__zero__iff,axiom,
% 191.91/191.84 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.84 => ( 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)
% 191.91/191.84 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/191.84 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__eq__square__number__of,axiom,
% 191.91/191.84 ! [V_w,T_b] :
% 191.91/191.84 ( ( class_Groups_Omonoid__mult(T_b)
% 191.91/191.84 & class_Int_Onumber(T_b) )
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__eq__1__iff,axiom,
% 191.91/191.84 ! [V_a_2,T_b] :
% 191.91/191.84 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 191.91/191.84 => ( 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)
% 191.91/191.84 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 191.91/191.84 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__nat__number__of,axiom,
% 191.91/191.84 ! [V_v_H,V_v] :
% 191.91/191.84 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/191.84 => 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) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 191.91/191.84 ! [V_n,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__minus__even,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Oring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_div__2__gt__zero,axiom,
% 191.91/191.84 ! [V_n] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 191.91/191.84 => 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)))))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__less__imp__less,axiom,
% 191.91/191.84 ! [V_y,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( 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))))))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/191.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_one__div__nat__number__of,axiom,
% 191.91/191.84 ! [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))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_sum__power2__le__zero__iff,axiom,
% 191.91/191.84 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.84 => ( 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)))
% 191.91/191.84 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/191.84 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_sum__power2__ge__zero,axiom,
% 191.91/191.84 ! [V_y,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => 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))))))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_sum__power2__gt__zero__iff,axiom,
% 191.91/191.84 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.84 => ( 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)))))))
% 191.91/191.84 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/191.84 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_not__sum__power2__lt__zero,axiom,
% 191.91/191.84 ! [V_y,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => ~ 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))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__sum,axiom,
% 191.91/191.84 ! [V_y,V_x,T_a] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__le__even__power_H,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => 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)))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__odd__eq,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => 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))))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 191.91/191.84 ! [V_n,V_x,T_a] :
% 191.91/191.84 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.84 => 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))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__minus1__even,axiom,
% 191.91/191.84 ! [V_n,T_a] :
% 191.91/191.84 ( class_Rings_Oring__1(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_int__power__div__base,axiom,
% 191.91/191.84 ! [V_k,V_m] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.91/191.84 => 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)))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 191.91/191.84 ! [V_n] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.84 => 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)))))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power2__diff,axiom,
% 191.91/191.84 ! [V_y,V_x,T_a] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => ( 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)))))
% 191.91/191.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_odd__power__less__zero,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__minus1__odd,axiom,
% 191.91/191.84 ! [V_n,T_a] :
% 191.91/191.84 ( class_Rings_Oring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_int__of__code,axiom,
% 191.91/191.84 ! [V_k] :
% 191.91/191.84 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.84 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/191.84 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.84 => ( ( 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)
% 191.91/191.84 => 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)))))) )
% 191.91/191.84 & ( 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)
% 191.91/191.84 => 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)) ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__strict__mono,axiom,
% 191.91/191.84 ! [V_n,V_b,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.84 => 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))) ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__diff,axiom,
% 191.91/191.84 ! [V_m,V_n,V_a,T_a] :
% 191.91/191.84 ( class_Fields_Ofield(T_a)
% 191.91/191.84 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/191.84 => 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)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_one__less__power,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.84 => 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))) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__le__imp__le__exp,axiom,
% 191.91/191.84 ! [V_n,V_m,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__increasing__iff,axiom,
% 191.91/191.84 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_b)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_field__power__not__zero,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 191.91/191.84 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/191.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__Suc__0,axiom,
% 191.91/191.84 ! [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)) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 191.91/191.84 ! [V_m_2,V_x_2] :
% 191.91/191.84 ( 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))
% 191.91/191.84 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__power__less__imp__less,axiom,
% 191.91/191.84 ! [V_n,V_m,V_i] :
% 191.91/191.84 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__zero__less__power__iff,axiom,
% 191.91/191.84 ! [V_na_2,V_x_2] :
% 191.91/191.84 ( 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)))
% 191.91/191.84 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 191.91/191.84 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__commutes,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__mult__distrib,axiom,
% 191.91/191.84 ! [V_n,V_b,V_a,T_a] :
% 191.91/191.84 ( class_Groups_Ocomm__monoid__mult(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__one,axiom,
% 191.91/191.84 ! [V_n,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_of__nat__power,axiom,
% 191.91/191.84 ! [V_n,V_m,T_a] :
% 191.91/191.84 ( class_Rings_Osemiring__1(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__mult,axiom,
% 191.91/191.84 ! [V_n,V_m,V_a,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__divide,axiom,
% 191.91/191.84 ! [V_n,V_b,V_a,T_a] :
% 191.91/191.84 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__abs,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__one__right,axiom,
% 191.91/191.84 ! [V_a,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__mono,axiom,
% 191.91/191.84 ! [V_n,V_b,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => 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))) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__le__power,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__less__power,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__eq__0__iff,axiom,
% 191.91/191.84 ! [V_na_2,V_a_2,T_b] :
% 191.91/191.84 ( ( class_Power_Opower(T_b)
% 191.91/191.84 & class_Rings_Omult__zero(T_b)
% 191.91/191.84 & class_Rings_Ono__zero__divisors(T_b)
% 191.91/191.84 & class_Rings_Ozero__neq__one(T_b) )
% 191.91/191.84 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/191.84 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/191.84 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_one__le__power,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/191.84 => 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))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__0__Suc,axiom,
% 191.91/191.84 ! [V_n,T_a] :
% 191.91/191.84 ( ( class_Power_Opower(T_a)
% 191.91/191.84 & class_Rings_Osemiring__0(T_a) )
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__inject__exp,axiom,
% 191.91/191.84 ! [V_na_2,V_m_2,V_a_2,T_b] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_b)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 191.91/191.84 => ( 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)
% 191.91/191.84 <=> V_m_2 = V_na_2 ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__Suc2,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__Suc,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Power_Opower(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nat__one__le__power,axiom,
% 191.91/191.84 ! [V_n,V_i] :
% 191.91/191.84 ( 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))
% 191.91/191.84 => 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))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__0,axiom,
% 191.91/191.84 ! [V_a,T_a] :
% 191.91/191.84 ( class_Power_Opower(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__add,axiom,
% 191.91/191.84 ! [V_n,V_m,V_a,T_a] :
% 191.91/191.84 ( class_Groups_Omonoid__mult(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_nonzero__power__divide,axiom,
% 191.91/191.84 ! [V_n,V_a,V_b,T_a] :
% 191.91/191.84 ( class_Fields_Ofield(T_a)
% 191.91/191.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/191.84 => 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)) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__one__over,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_abs__power__minus,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__less__imp__less__base,axiom,
% 191.91/191.84 ! [V_b,V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( 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)))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/191.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__le__imp__le__base,axiom,
% 191.91/191.84 ! [V_b,V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( 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))))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/191.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__inject__base,axiom,
% 191.91/191.84 ! [V_b,V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( 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))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/191.84 => V_a = V_b ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__less__power__Suc,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/191.84 => 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)))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__gt1__lemma,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/191.84 => 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)))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__0__left,axiom,
% 191.91/191.84 ! [V_n,T_a] :
% 191.91/191.84 ( ( class_Power_Opower(T_a)
% 191.91/191.84 & class_Rings_Osemiring__0(T_a) )
% 191.91/191.84 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 => 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) )
% 191.91/191.84 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.84 => 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) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__gt1,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/191.84 => 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)))) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__strict__increasing__iff,axiom,
% 191.91/191.84 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_b)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__less__imp__less__exp,axiom,
% 191.91/191.84 ! [V_n,V_m,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/191.84 => ( 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)))
% 191.91/191.84 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__strict__increasing,axiom,
% 191.91/191.84 ! [V_a,V_N,V_n,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/191.84 => 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))) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_zero__le__power__abs,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.84 => 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))) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__increasing,axiom,
% 191.91/191.84 ! [V_a,V_N,V_n,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/191.84 => 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))) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__minus,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Oring__1(T_a)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__Suc__less,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 191.91/191.84 => 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))) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__eq__imp__eq__base,axiom,
% 191.91/191.84 ! [V_b,V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( 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)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.84 => V_a = V_b ) ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__Suc__less__one,axiom,
% 191.91/191.84 ! [V_n,V_a,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 191.91/191.84 => 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))) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__strict__decreasing,axiom,
% 191.91/191.84 ! [V_a,V_N,V_n,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 191.91/191.84 => 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))) ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__decreasing,axiom,
% 191.91/191.84 ! [V_a,V_N,V_n,T_a] :
% 191.91/191.84 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 191.91/191.84 => 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))) ) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_power__power__power,axiom,
% 191.91/191.84 ! [T_b] :
% 191.91/191.84 ( class_Power_Opower(T_b)
% 191.91/191.84 => 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)) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 191.91/191.84 ! [V_B_2,V_A_2] :
% 191.91/191.84 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.84 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.84 <=> 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))) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 191.91/191.84 ! [V_B_2,V_A_2] :
% 191.91/191.84 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.84 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/191.84 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.84 <=> 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))) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_code__numeral_Osize_I1_J,axiom,
% 191.91/191.84 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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_card__greaterThanLessThan__int,axiom,
% 191.91/191.84 ! [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)))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_of__int__of__nat,axiom,
% 191.91/191.84 ! [V_k,T_a] :
% 191.91/191.84 ( class_Rings_Oring__1(T_a)
% 191.91/191.84 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.84 => 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)))) )
% 191.91/191.84 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.84 => 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)) ) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_finite__greaterThanLessThan__int,axiom,
% 191.91/191.84 ! [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))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_of__int__eq__iff,axiom,
% 191.91/191.84 ! [V_z_2,V_w_2,T_b] :
% 191.91/191.84 ( class_Int_Oring__char__0(T_b)
% 191.91/191.84 => ( 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)
% 191.91/191.84 <=> V_w_2 = V_z_2 ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_number__of__eq,axiom,
% 191.91/191.84 ! [V_k,T_a] :
% 191.91/191.84 ( class_Int_Onumber__ring(T_a)
% 191.91/191.84 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_int__number__of__def,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_of__int__int__eq,axiom,
% 191.91/191.84 ! [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) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_of__int__eq__0__iff,axiom,
% 191.91/191.84 ! [V_z_2,T_b] :
% 191.91/191.84 ( class_Int_Oring__char__0(T_b)
% 191.91/191.84 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/191.84 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_of__int__0__eq__iff,axiom,
% 191.91/191.84 ! [V_z_2,T_b] :
% 191.91/191.84 ( class_Int_Oring__char__0(T_b)
% 191.91/191.84 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 191.91/191.84 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_of__int__0,axiom,
% 191.91/191.84 ! [T_a] :
% 191.91/191.84 ( class_Rings_Oring__1(T_a)
% 191.91/191.84 => 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) ) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 191.91/191.84 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 191.91/191.84
% 191.91/191.84 fof(fact_of__int__le__iff,axiom,
% 191.91/191.85 ! [V_z_2,V_w_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__less__iff,axiom,
% 191.91/191.85 ! [V_z_2,V_w_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__add,axiom,
% 191.91/191.85 ! [V_z,V_w,T_a] :
% 191.91/191.85 ( class_Rings_Oring__1(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__number__of__eq,axiom,
% 191.91/191.85 ! [V_v,T_a] :
% 191.91/191.85 ( class_Int_Onumber__ring(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__mult,axiom,
% 191.91/191.85 ! [V_z,V_w,T_a] :
% 191.91/191.85 ( class_Rings_Oring__1(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__1,axiom,
% 191.91/191.85 ! [T_a] :
% 191.91/191.85 ( class_Rings_Oring__1(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__diff,axiom,
% 191.91/191.85 ! [V_z,V_w,T_a] :
% 191.91/191.85 ( class_Rings_Oring__1(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__of__nat__eq,axiom,
% 191.91/191.85 ! [V_n,T_a] :
% 191.91/191.85 ( class_Rings_Oring__1(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__minus,axiom,
% 191.91/191.85 ! [V_z,T_a] :
% 191.91/191.85 ( class_Rings_Oring__1(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Ints__of__int,axiom,
% 191.91/191.85 ! [V_z_2,T_b] :
% 191.91/191.85 ( class_Rings_Oring__1(T_b)
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__power,axiom,
% 191.91/191.85 ! [V_n,V_z,T_a] :
% 191.91/191.85 ( class_Rings_Oring__1(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_nat__set__def,axiom,
% 191.91/191.85 ! [V_S_2] :
% 191.91/191.85 ( c_Nat__Transfer_Onat__set(V_S_2)
% 191.91/191.85 <=> ! [B_x] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 191.91/191.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_greaterThanLessThan__empty,axiom,
% 191.91/191.85 ! [V_k_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2] :
% 191.91/191.85 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.85 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/191.85 => ( V_A_2 = V_B_2
% 191.91/191.85 <=> 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) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_power_Opower_Opower__0,axiom,
% 191.91/191.85 ! [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 ).
% 191.91/191.85
% 191.91/191.85 fof(fact_power_Opower_Opower__Suc,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__m1,axiom,
% 191.91/191.85 ! [T_a] :
% 191.91/191.85 ( class_Int_Onumber__ring(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 191.91/191.85 ! [V_x_2,V_A_2] :
% 191.91/191.85 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 191.91/191.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__0__le__iff,axiom,
% 191.91/191.85 ! [V_z_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__le__0__iff,axiom,
% 191.91/191.85 ! [V_z_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__0__less__iff,axiom,
% 191.91/191.85 ! [V_z_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__int__less__0__iff,axiom,
% 191.91/191.85 ! [V_z_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_of__nat__nat,axiom,
% 191.91/191.85 ! [V_z,T_a] :
% 191.91/191.85 ( class_Rings_Oring__1(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 191.91/191.85 ! [V_A_2] :
% 191.91/191.85 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.85 => 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 ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 191.91/191.85 ! [V_A_2] :
% 191.91/191.85 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 191.91/191.85 <=> 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 191.91/191.85 ! [V_A_2] :
% 191.91/191.85 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_code__numeral_Osize_I2_J,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 191.91/191.85 ! [V_A_2,V_x_2] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 191.91/191.85 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 191.91/191.85 <=> 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))) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 191.91/191.85 ! [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)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_negD,axiom,
% 191.91/191.85 ! [V_x] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.85 => ? [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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_code__numeral_Osize_I3_J,axiom,
% 191.91/191.85 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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__greaterThanLessThan,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_code__numeral_Oinject,axiom,
% 191.91/191.85 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 191.91/191.85 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 191.91/191.85 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 191.91/191.85 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 191.91/191.85 ! [V_y,V_x] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/191.85 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/191.85 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 191.91/191.85 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 191.91/191.85 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 191.91/191.85 ! [V_y,V_x] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/191.85 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/191.85 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 191.91/191.85 ! [V_y,V_x] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/191.85 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/191.85 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 191.91/191.85 ! [V_y,V_x] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/191.85 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/191.85 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 191.91/191.85 ! [V_n,V_x] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/191.85 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 191.91/191.85 ! [V_y,V_x] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/191.85 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/191.85 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 191.91/191.85 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_is__nat__def,axiom,
% 191.91/191.85 ! [V_x_2] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_code__numeral_Osize_I4_J,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 191.91/191.85 ! [V_x_2,V_A_2] :
% 191.91/191.85 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 191.91/191.85 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 191.91/191.85 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Suc__code__numeral__minus__one,axiom,
% 191.91/191.85 ! [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 ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__greaterThanLessThan,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 191.91/191.85 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__Pow,axiom,
% 191.91/191.85 ! [V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__neg,axiom,
% 191.91/191.85 ! [V_a,T_a] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/191.85 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__1__neg,axiom,
% 191.91/191.85 ! [V_a_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( 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))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__if,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Groups_Osgn__if(T_a)
% 191.91/191.85 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 191.91/191.85 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 191.91/191.85 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/191.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/191.85 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 191.91/191.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/191.85 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_PowI,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.85 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Pow__top,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Pow__not__empty,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__sgn,axiom,
% 191.91/191.85 ! [V_a,T_a] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Cantors__paradox,axiom,
% 191.91/191.85 ! [V_A_2,T_b] :
% 191.91/191.85 ~ ? [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Pow__empty,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Pow__bottom,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__Pow__iff,axiom,
% 191.91/191.85 ! [V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 191.91/191.85 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Pow__mono,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_PowD,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 191.91/191.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Pow__iff,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__Pow__surj,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 191.91/191.85 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__0__0,axiom,
% 191.91/191.85 ! [V_a_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/191.85 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn0,axiom,
% 191.91/191.85 ! [T_a] :
% 191.91/191.85 ( class_Groups_Osgn__if(T_a)
% 191.91/191.85 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__times,axiom,
% 191.91/191.85 ! [V_b,V_a,T_a] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__Pow__mono,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( 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_f_2),V_A_2)),V_B_2))
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__greater,axiom,
% 191.91/191.85 ! [V_a_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__less,axiom,
% 191.91/191.85 ! [V_a_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_abs__sgn,axiom,
% 191.91/191.85 ! [V_k,T_a] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_mult__sgn__abs,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.85 => 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 ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__1__pos,axiom,
% 191.91/191.85 ! [V_a_2,T_b] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_b)
% 191.91/191.85 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sgn__pos,axiom,
% 191.91/191.85 ! [V_a,T_a] :
% 191.91/191.85 ( class_Rings_Olinordered__idom(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/191.85 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_nat__gcd_Osimps,axiom,
% 191.91/191.85 ! [V_x,V_y] :
% 191.91/191.85 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.85 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 191.91/191.85 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_zsgn__def,axiom,
% 191.91/191.85 ! [V_i] :
% 191.91/191.85 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.85 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/191.85 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.85 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 191.91/191.85 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 191.91/191.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 191.91/191.85 => 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)) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 191.91/191.85 ! [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)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_nat0__intermed__int__val,axiom,
% 191.91/191.85 ! [V_k_2,V_f_2,V_na_2] :
% 191.91/191.85 ( ! [B_i] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 191.91/191.85 => 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))) )
% 191.91/191.85 => ( 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))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 191.91/191.85 => ? [B_i] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 191.91/191.85 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_int__val__lemma,axiom,
% 191.91/191.85 ! [V_k_2,V_f_2,V_na_2] :
% 191.91/191.85 ( ! [B_i] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 191.91/191.85 => 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))) )
% 191.91/191.85 => ( 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))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 191.91/191.85 => ? [B_i] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 191.91/191.85 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 191.91/191.85 ! [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 ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__atLeastAtMost__int,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_nat__mod__eq__lemma,axiom,
% 191.91/191.85 ! [V_y,V_n,V_x] :
% 191.91/191.85 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 191.91/191.85 => ? [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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_mod__induct__0,axiom,
% 191.91/191.85 ! [V_i_2,V_Pa_2,V_p_2] :
% 191.91/191.85 ( ! [B_i] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 191.91/191.85 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 191.91/191.85 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 191.91/191.85 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 191.91/191.85 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_nat__intermed__int__val,axiom,
% 191.91/191.85 ! [V_k_2,V_f_2,V_na_2,V_m_2] :
% 191.91/191.85 ( ! [B_i] :
% 191.91/191.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 191.91/191.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) )
% 191.91/191.85 => 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))) )
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 191.91/191.85 => ? [B_i] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 191.91/191.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 191.91/191.85 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_log_Osimps,axiom,
% 191.91/191.85 ! [V_i,V_b] :
% 191.91/191.85 ( ( ( 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)))
% 191.91/191.85 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 191.91/191.85 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 191.91/191.85 & ( ~ ( 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)))
% 191.91/191.85 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__atLeastAtMost__int,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 191.91/191.85 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastatMost__empty__iff,axiom,
% 191.91/191.85 ! [V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( 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))
% 191.91/191.85 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastatMost__empty__iff2,axiom,
% 191.91/191.85 ! [V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( 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)
% 191.91/191.85 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastatMost__empty,axiom,
% 191.91/191.85 ! [V_a_2,V_b_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastatMost__subset__iff,axiom,
% 191.91/191.85 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.91/191.85 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 191.91/191.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastAtMost__singleton,axiom,
% 191.91/191.85 ! [V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 191.91/191.85 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> ( V_a_2 = V_b_2
% 191.91/191.85 & V_b_2 = V_c_2 ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastAtMost__singleton_H,axiom,
% 191.91/191.85 ! [V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( V_a_2 = V_b_2
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__uminus__atLeastAtMost,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.91/191.85 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastatMost__psubset__iff,axiom,
% 191.91/191.85 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.91/191.85 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 191.91/191.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 191.91/191.85 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 191.91/191.85 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 191.91/191.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_simp__from__to,axiom,
% 191.91/191.85 ! [V_i_2,V_j_2] :
% 191.91/191.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 191.91/191.85 => 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)) )
% 191.91/191.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_minus__shift__def,axiom,
% 191.91/191.85 ! [V_r,V_l,V_k] :
% 191.91/191.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 191.91/191.85 => 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) )
% 191.91/191.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inc__shift__def,axiom,
% 191.91/191.85 ! [V_k,V_v] :
% 191.91/191.85 ( ( V_v = V_k
% 191.91/191.85 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 191.91/191.85 & ( V_v != V_k
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_aset_I6_J,axiom,
% 191.91/191.85 ! [V_A_2,V_t_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ( 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))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 191.91/191.85 => 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)) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_bset_I8_J,axiom,
% 191.91/191.85 ! [V_B_2,V_t_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ( 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))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 191.91/191.85 => 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))) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_aset_I4_J,axiom,
% 191.91/191.85 ! [V_A_2,V_t_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( B_x != V_t_2
% 191.91/191.85 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__atLeastAtMost,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__Suc__atLeastAtMost,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastAtMostSuc__conv,axiom,
% 191.91/191.85 ! [V_na_2,V_m_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__atLeastAtMost,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 191.91/191.85 ! [V_na_2,V_m_2] :
% 191.91/191.85 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 191.91/191.85 => ( c_Nat__Transfer_Ois__nat(V_na_2)
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_bset_I3_J,axiom,
% 191.91/191.85 ! [V_B_2,V_t_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ( 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))
% 191.91/191.85 => ( ! [B_x] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xa] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 191.91/191.85 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 191.91/191.85 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_aset_I3_J,axiom,
% 191.91/191.85 ! [V_A_2,V_t_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ( 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))
% 191.91/191.85 => ( ! [B_x] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xa] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 191.91/191.85 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 191.91/191.85 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_aset_I5_J,axiom,
% 191.91/191.85 ! [V_A_2,V_t_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 191.91/191.85 => 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)) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_bset_I7_J,axiom,
% 191.91/191.85 ! [V_B_2,V_t_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 191.91/191.85 => 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))) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_bset_I4_J,axiom,
% 191.91/191.85 ! [V_B_2,V_t_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( B_x != V_t_2
% 191.91/191.85 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ex__nat__less,axiom,
% 191.91/191.85 ! [V_Pa_2,V_na_2] :
% 191.91/191.85 ( ? [B_m] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 191.91/191.85 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.91/191.85 <=> ? [B_x] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_all__nat__less,axiom,
% 191.91/191.85 ! [V_Pa_2,V_na_2] :
% 191.91/191.85 ( ! [B_m] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 191.91/191.85 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.91/191.85 <=> ! [B_x] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_bset_I6_J,axiom,
% 191.91/191.85 ! [V_t_2,V_B_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 191.91/191.85 => 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)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_aset_I8_J,axiom,
% 191.91/191.85 ! [V_t_2,V_A_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 191.91/191.85 => 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))) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_periodic__finite__ex,axiom,
% 191.91/191.85 ! [V_Pa_2,V_d_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 191.91/191.85 => ( ! [B_x,B_k] :
% 191.91/191.85 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.85 <=> 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)))) )
% 191.91/191.85 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/191.85 <=> ? [B_x] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_aset_I7_J,axiom,
% 191.91/191.85 ! [V_t_2,V_A_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 191.91/191.85 => 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))) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_bset_I5_J,axiom,
% 191.91/191.85 ! [V_t_2,V_B_2,V_D_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/191.85 => ! [B_x] :
% 191.91/191.85 ( ! [B_xa] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ! [B_xb] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/191.85 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 191.91/191.85 => 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)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_mod__div__decomp,axiom,
% 191.91/191.85 ! [V_b,V_a,T_a] :
% 191.91/191.85 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__lessThan,axiom,
% 191.91/191.85 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__atMost,axiom,
% 191.91/191.85 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atMost__eq__iff,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 191.91/191.85 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_lessThan__eq__iff,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 191.91/191.85 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_lessThan__Suc__atMost,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__lessThan,axiom,
% 191.91/191.85 ! [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 ).
% 191.91/191.85
% 191.91/191.85 fof(fact_lessThan__0,axiom,
% 191.91/191.85 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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeast0AtMost,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_lessThan__Suc,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__atMost,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atMost__Suc,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atMost__iff,axiom,
% 191.91/191.85 ! [V_k_2,V_i_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oord(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_lessThan__iff,axiom,
% 191.91/191.85 ! [V_k_2,V_i_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oord(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_lessThan__subset__iff,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atMost__subset__iff,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_lessThan__strict__subset__iff,axiom,
% 191.91/191.85 ! [V_na_2,V_m_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atMost__0,axiom,
% 191.91/191.85 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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_single__Diff__lessThan,axiom,
% 191.91/191.85 ! [V_k_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 191.91/191.85 ! [V_u_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_greaterThan__Suc,axiom,
% 191.91/191.85 ! [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)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__uminus__lessThan,axiom,
% 191.91/191.85 ! [V_x_2,T_b] :
% 191.91/191.85 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__uminus__greaterThan,axiom,
% 191.91/191.85 ! [V_x_2,T_b] :
% 191.91/191.85 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_measure__function__int,axiom,
% 191.91/191.85 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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__atLeastLessThan__int,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_is__measure_Osimps,axiom,
% 191.91/191.85 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_is__measure_Oequations,axiom,
% 191.91/191.85 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_is__measure_Ointros,axiom,
% 191.91/191.85 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_greaterThan__eq__iff,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 191.91/191.85 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan__eq__iff,axiom,
% 191.91/191.85 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 191.91/191.85 => ( 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)
% 191.91/191.85 <=> ( V_a_2 = V_c_2
% 191.91/191.85 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 191.91/191.85 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( 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)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 191.91/191.85 => V_a_2 = V_c_2 ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 191.91/191.85 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( 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)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 191.91/191.85 => V_b_2 = V_d_2 ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan__empty,axiom,
% 191.91/191.85 ! [V_a_2,V_b_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 191.91/191.85 ! [V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( 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)
% 191.91/191.85 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan__empty__iff,axiom,
% 191.91/191.85 ! [V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( 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))
% 191.91/191.85 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan__subset__iff,axiom,
% 191.91/191.85 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 191.91/191.85 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 191.91/191.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__diff,axiom,
% 191.91/191.85 ! [V_m_2,V_na_2,V_i_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_measure__size,axiom,
% 191.91/191.85 ! [T_b] :
% 191.91/191.85 ( class_Nat_Osize(T_b)
% 191.91/191.85 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_greaterThan__iff,axiom,
% 191.91/191.85 ! [V_k_2,V_i_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oord(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_greaterThan__subset__iff,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__atMost,axiom,
% 191.91/191.85 ! [V_k_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__greaterThan,axiom,
% 191.91/191.85 ! [V_k_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__atLeastLessThan__int,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeast__Suc,axiom,
% 191.91/191.85 ! [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)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_greaterThan__0,axiom,
% 191.91/191.85 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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I18_J,axiom,
% 191.91/191.85 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 191.91/191.85 => 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) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I3_J,axiom,
% 191.91/191.85 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I6_J,axiom,
% 191.91/191.85 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__atLeastLessThan,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_UNIV__I,axiom,
% 191.91/191.85 ! [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)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_UnE,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.85 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_UnCI,axiom,
% 191.91/191.85 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 191.91/191.85 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 191.91/191.85 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan__add__Un,axiom,
% 191.91/191.85 ! [V_k_2,V_j_2,V_i_2] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__upper1,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__upper2,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_subset__Un__eq,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.85 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__absorb1,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__absorb2,axiom,
% 191.91/191.85 ! [V_A_2,V_B_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__least,axiom,
% 191.91/191.85 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__mono,axiom,
% 191.91/191.85 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__empty,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( 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))
% 191.91/191.85 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.85 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__empty__right,axiom,
% 191.91/191.85 ! [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 ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__empty__left,axiom,
% 191.91/191.85 ! [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 ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__iff,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.85 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_UnI1,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_UnI2,axiom,
% 191.91/191.85 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__bot__left,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Obounded__lattice__bot(T_a)
% 191.91/191.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__bot__right,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Obounded__lattice__bot(T_a)
% 191.91/191.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__eq__bot__iff,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Lattices_Obounded__lattice__bot(T_b)
% 191.91/191.85 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 191.91/191.85 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 191.91/191.85 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__Prod__UNIV,axiom,
% 191.91/191.85 ! [T_c,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 191.91/191.85 => 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)))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__option__UNIV,axiom,
% 191.91/191.85 ! [T_b] :
% 191.91/191.85 ( 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))))
% 191.91/191.85 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeast__0,axiom,
% 191.91/191.85 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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_UNIV__Plus__UNIV,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeast__eq__iff,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 191.91/191.85 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__UNIV__left,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__UNIV__right,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__absorb,axiom,
% 191.91/191.85 ! [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 ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__commute,axiom,
% 191.91/191.85 ! [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(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__left__absorb,axiom,
% 191.91/191.85 ! [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),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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__left__commute,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__assoc,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_bex__Un,axiom,
% 191.91/191.85 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( ? [B_x] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.85 <=> ( ? [B_x] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.85 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.85 | ? [B_x] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 191.91/191.85 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ball__Un,axiom,
% 191.91/191.85 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( ! [B_x] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.85 <=> ( ! [B_x] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.85 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.85 & ! [B_x] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 191.91/191.85 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_top__apply,axiom,
% 191.91/191.85 ! [V_x_2,T_c,T_b] :
% 191.91/191.85 ( class_Orderings_Otop(T_b)
% 191.91/191.85 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__top__left,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__top__right,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup_Oidem,axiom,
% 191.91/191.85 ! [V_a,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__idem,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup_Ocommute,axiom,
% 191.91/191.85 ! [V_b,V_a,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inf__sup__aci_I5_J,axiom,
% 191.91/191.85 ! [V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Olattice(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__commute,axiom,
% 191.91/191.85 ! [V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup_Oleft__idem,axiom,
% 191.91/191.85 ! [V_b,V_a,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inf__sup__aci_I8_J,axiom,
% 191.91/191.85 ! [V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Olattice(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__left__idem,axiom,
% 191.91/191.85 ! [V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup_Oleft__commute,axiom,
% 191.91/191.85 ! [V_c,V_a,V_b,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inf__sup__aci_I7_J,axiom,
% 191.91/191.85 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Olattice(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__left__commute,axiom,
% 191.91/191.85 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup_Oassoc,axiom,
% 191.91/191.85 ! [V_c,V_b,V_a,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inf__sup__aci_I6_J,axiom,
% 191.91/191.85 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Olattice(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__assoc,axiom,
% 191.91/191.85 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__apply,axiom,
% 191.91/191.85 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( class_Lattices_Olattice(T_b)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_compl__sup__top,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__compl__top,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__partition2,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__partition,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Pow__UNIV,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_less__supI2,axiom,
% 191.91/191.85 ! [V_a,V_b,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_less__supI1,axiom,
% 191.91/191.85 ! [V_b,V_a,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inf__sup__ord_I3_J,axiom,
% 191.91/191.85 ! [V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Olattice(T_a)
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__ge1,axiom,
% 191.91/191.85 ! [V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inf__sup__ord_I4_J,axiom,
% 191.91/191.85 ! [V_x,V_y,T_a] :
% 191.91/191.85 ( class_Lattices_Olattice(T_a)
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__ge2,axiom,
% 191.91/191.85 ! [V_x,V_y,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_le__iff__sup,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/191.85 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_le__sup__iff,axiom,
% 191.91/191.85 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/191.85 => ( 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))
% 191.91/191.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 191.91/191.85 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_le__supI1,axiom,
% 191.91/191.85 ! [V_b,V_a,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_le__supI2,axiom,
% 191.91/191.85 ! [V_a,V_b,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__absorb2,axiom,
% 191.91/191.85 ! [V_y,V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/191.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__absorb1,axiom,
% 191.91/191.85 ! [V_x,V_y,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/191.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_le__supI,axiom,
% 191.91/191.85 ! [V_b,V_x,V_a,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.91/191.85 => 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)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__least,axiom,
% 191.91/191.85 ! [V_z,V_x,V_y,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 191.91/191.85 => 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)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__mono,axiom,
% 191.91/191.85 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.91/191.85 => 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))) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_le__supE,axiom,
% 191.91/191.85 ! [V_x,V_b,V_a,T_a] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/191.85 => ( 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))
% 191.91/191.85 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/191.85 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__UnI,axiom,
% 191.91/191.85 ! [V_G_2,V_F_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2))
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__Un,axiom,
% 191.91/191.85 ! [V_G_2,V_F_2,T_b] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/191.85 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__insert__left,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__insert__right,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__Un,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__fun__UNIVD2,axiom,
% 191.91/191.85 ! [T_c,T_b] :
% 191.91/191.85 ( 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))))
% 191.91/191.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__Diff__cancel,axiom,
% 191.91/191.85 ! [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),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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__Diff__cancel2,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__Diff,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_UNIV__not__empty,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__UNIV,axiom,
% 191.91/191.85 ! [T_b] :
% 191.91/191.85 ( class_Finite__Set_Ofinite(T_b)
% 191.91/191.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I14_J,axiom,
% 191.91/191.85 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Un__Pow__subset,axiom,
% 191.91/191.85 ! [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)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_subset__UNIV,axiom,
% 191.91/191.85 ! [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)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inj__eq,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.91/191.85 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_injD,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.91/191.85 => V_x_2 = V_y_2 ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inj__int,axiom,
% 191.91/191.85 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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__Plus__UNIV__iff,axiom,
% 191.91/191.85 ! [T_c,T_b] :
% 191.91/191.85 ( 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))))
% 191.91/191.85 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/191.85 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2] :
% 191.91/191.85 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.85 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_fun__left__comm__idem__sup,axiom,
% 191.91/191.85 ! [T_b] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/191.85 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_infinite__UNIV__nat,axiom,
% 191.91/191.85 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_top__greatest,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Orderings_Otop(T_a)
% 191.91/191.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I1_J,axiom,
% 191.91/191.85 ! [V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I13_J,axiom,
% 191.91/191.85 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I12_J,axiom,
% 191.91/191.85 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_all__nat__less__eq,axiom,
% 191.91/191.85 ! [V_Pa_2,V_na_2] :
% 191.91/191.85 ( ! [B_m] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 191.91/191.85 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.91/191.85 <=> ! [B_x] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ex__nat__less__eq,axiom,
% 191.91/191.85 ! [V_Pa_2,V_na_2] :
% 191.91/191.85 ( ? [B_m] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 191.91/191.85 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.91/191.85 <=> ? [B_x] :
% 191.91/191.85 ( 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)))
% 191.91/191.85 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_insert__is__Un,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_union__fold__insert,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I17_J,axiom,
% 191.91/191.85 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/191.85 => 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) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Diff__partition,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.85 => 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 ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Diff__subset__conv,axiom,
% 191.91/191.85 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( 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))
% 191.91/191.85 <=> 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( 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))
% 191.91/191.85 => ( 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)
% 191.91/191.85 <=> V_A_2 = V_B_2 ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_range__eqI,axiom,
% 191.91/191.85 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 191.91/191.85 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 191.91/191.85 => 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))))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_rangeI,axiom,
% 191.91/191.85 ! [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))))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan0,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeast0LessThan,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Diff__UNIV,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_comp__surj,axiom,
% 191.91/191.85 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 191.91/191.85 ( 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))
% 191.91/191.85 => ( 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))
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 191.91/191.85 ! [V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/191.85 => ( 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)))
% 191.91/191.85 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__Diff__eq,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inj__image__eq__iff,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => ( 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)
% 191.91/191.85 <=> V_A_2 = V_B_2 ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inj__comp,axiom,
% 191.91/191.85 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__atLeastLessThan,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__empty__eq,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__UNIV__eq,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__compl,axiom,
% 191.91/191.85 ! [V_A_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 191.91/191.85 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__Suc__atLeastLessThan,axiom,
% 191.91/191.85 ! [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)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_the__inv__f__f,axiom,
% 191.91/191.85 ! [V_x_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => 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 ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__fun__UNIVD1,axiom,
% 191.91/191.85 ! [T_c,T_b] :
% 191.91/191.85 ( 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))))
% 191.91/191.85 => ( 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))
% 191.91/191.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.91/191.85 => 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)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inj__of__nat,axiom,
% 191.91/191.85 ! [T_b] :
% 191.91/191.85 ( class_Nat_Osemiring__char__0(T_b)
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2] :
% 191.91/191.85 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.85 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/191.85 => 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))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeast__iff,axiom,
% 191.91/191.85 ! [V_k_2,V_i_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oord(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeast__subset__iff,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( class_Orderings_Oorder(T_b)
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_compl__bot__eq,axiom,
% 191.91/191.85 ! [T_a] :
% 191.91/191.85 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.85 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_compl__top__eq,axiom,
% 191.91/191.85 ! [T_a] :
% 191.91/191.85 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.85 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I21_J,axiom,
% 191.91/191.85 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/191.85 => 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) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_range__ex1__eq,axiom,
% 191.91/191.85 ! [V_b_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => ( 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)))))
% 191.91/191.85 <=> ? [B_x] :
% 191.91/191.85 ( V_b_2 = hAPP(V_f_2,B_x)
% 191.91/191.85 & ! [B_y] :
% 191.91/191.85 ( V_b_2 = hAPP(V_f_2,B_y)
% 191.91/191.85 => B_y = B_x ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inj__image__mem__iff,axiom,
% 191.91/191.85 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__UNIV__inj__surj,axiom,
% 191.91/191.85 ! [V_f_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/191.85 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__UNIV__surj__inj,axiom,
% 191.91/191.85 ! [V_f_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/191.85 => ( 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))
% 191.91/191.85 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I8_J,axiom,
% 191.91/191.85 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inj__image__subset__iff,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => ( 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)))
% 191.91/191.85 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__set__diff,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_surj__Compl__image__subset,axiom,
% 191.91/191.85 ! [V_A_2,V_f_2,T_b,T_c] :
% 191.91/191.85 ( 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))
% 191.91/191.85 => 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)))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThan__singleton,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__lessThan,axiom,
% 191.91/191.85 ! [V_k_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Compl__atLeast,axiom,
% 191.91/191.85 ! [V_k_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.91/191.85 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.85 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.85 => 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)) ) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_folding__idem_Ounion__idem,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.85 => 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)) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeast__Suc__greaterThan,axiom,
% 191.91/191.85 ! [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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Pow__insert,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_subset__card__intvl__is__intvl,axiom,
% 191.91/191.85 ! [V_k_2,V_A_2] :
% 191.91/191.85 ( 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)))))
% 191.91/191.85 => 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))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_bool_Osize_I3_J,axiom,
% 191.91/191.85 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_bool_Osize_I4_J,axiom,
% 191.91/191.85 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_fold1__Un2,axiom,
% 191.91/191.85 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.85 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.85 => 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)) ) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I15_J,axiom,
% 191.91/191.85 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/191.85 => 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) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__UNIV__card__ge__0,axiom,
% 191.91/191.85 ! [T_b] :
% 191.91/191.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/191.85 => 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))))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_atLeastLessThanSuc,axiom,
% 191.91/191.85 ! [V_na_2,V_m_2] :
% 191.91/191.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.85 => 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)) )
% 191.91/191.85 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I2_J,axiom,
% 191.91/191.85 ! [V_u_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => 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) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_inj__image__Compl__subset,axiom,
% 191.91/191.85 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.85 => 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)))) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I10_J,axiom,
% 191.91/191.85 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I7_J,axiom,
% 191.91/191.85 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__uminus__atMost,axiom,
% 191.91/191.85 ! [V_x_2,T_b] :
% 191.91/191.85 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_image__uminus__atLeast,axiom,
% 191.91/191.85 ! [V_x_2,T_b] :
% 191.91/191.85 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup__le__fold__sup,axiom,
% 191.91/191.85 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.85 => 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))) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_fold__sup__insert,axiom,
% 191.91/191.85 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 191.91/191.85 ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => 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)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup1CI,axiom,
% 191.91/191.85 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 191.91/191.85 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 191.91/191.85 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup1E,axiom,
% 191.91/191.85 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.91/191.85 ( 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))
% 191.91/191.85 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 191.91/191.85 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_top1I,axiom,
% 191.91/191.85 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__UNIV__unit,axiom,
% 191.91/191.85 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) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_infinite__UNIV__int,axiom,
% 191.91/191.85 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_eq__mem,axiom,
% 191.91/191.85 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 191.91/191.85 <=> V_x_2 = V_y_2 ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Sup__fin_Oidem,axiom,
% 191.91/191.85 ! [V_x,T_a] :
% 191.91/191.85 ( class_Lattices_Olattice(T_a)
% 191.91/191.85 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_rev__predicate1D,axiom,
% 191.91/191.85 ! [V_Q_2,T_b,V_x_2,V_Pa_2] :
% 191.91/191.85 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 191.91/191.85 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_predicate1D,axiom,
% 191.91/191.85 ! [V_x_2,V_Q_2,V_Pa_2,T_b] :
% 191.91/191.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 191.91/191.85 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.85 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup1I1,axiom,
% 191.91/191.85 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 191.91/191.85 ( hBOOL(hAPP(V_A_2,V_x_2))
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_sup1I2,axiom,
% 191.91/191.85 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 191.91/191.85 ( hBOOL(hAPP(V_B_2,V_x_2))
% 191.91/191.85 => 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)) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_card__UNIV__bool,axiom,
% 191.91/191.85 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))) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_semilattice__big_OF__eq,axiom,
% 191.91/191.85 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 191.91/191.85 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_comm__monoid__big_OF__eq,axiom,
% 191.91/191.85 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/191.85 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 191.91/191.85 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.91/191.85 => 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) )
% 191.91/191.85 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.91/191.85 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I19_J,axiom,
% 191.91/191.85 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/191.85 => 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) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_ivl__disj__un_I4_J,axiom,
% 191.91/191.85 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.85 ( class_Orderings_Olinorder(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.91/191.85 => 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) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_Sup__fin_Oremove,axiom,
% 191.91/191.85 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.85 ( class_Lattices_Olattice(T_b)
% 191.91/191.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.85 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.85 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 191.91/191.85 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.85 => 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)))))) ) ) ) ) ) ).
% 191.91/191.85
% 191.91/191.85 fof(fact_finite__greaterThanAtMost,axiom,
% 191.91/191.85 ! [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))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_finite__greaterThanAtMost__int,axiom,
% 191.91/191.86 ! [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))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Osingleton,axiom,
% 191.91/191.86 ! [V_x_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => 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 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_greaterThanAtMost__empty,axiom,
% 191.91/191.86 ! [V_k_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 191.91/191.86 ! [V_l_2,V_k_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => ( 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))
% 191.91/191.86 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 191.91/191.86 ! [V_l_2,V_k_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => ( 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)
% 191.91/191.86 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__un_I20_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_card__greaterThanAtMost,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Oin__idem,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_OF__eq,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__un_I22_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_image__uminus__atLeastLessThan,axiom,
% 191.91/191.86 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 191.91/191.86 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__un_I9_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__un_I11_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Osubset__idem,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_card__greaterThanAtMost__int,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 191.91/191.86 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 191.91/191.86 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.91/191.86 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Ounion__idem,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => 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)) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 191.91/191.86 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__un_I16_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Oinsert,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => 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 )
% 191.91/191.86 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => 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)))))) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__un_I5_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Oclosed,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( ! [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))))))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_iso__tuple__UNIV__I,axiom,
% 191.91/191.86 ! [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)))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Powp__mono,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.86 => 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))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Ohom__commute,axiom,
% 191.91/191.86 ! [V_N_2,V_h_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( ! [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))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.86 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__diff1,axiom,
% 191.91/191.86 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Fields_Ofield(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 191.91/191.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)) )
% 191.91/191.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__zero,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Rings_Ocomm__semiring__1(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__zero__iff,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 191.91/191.86 & class_Rings_Ono__zero__divisors(T_c) )
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( 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)
% 191.91/191.86 <=> ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__empty,axiom,
% 191.91/191.86 ! [V_f_2,T_c,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Oempty,axiom,
% 191.91/191.86 ! [V_g_2,T_c,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Oinfinite,axiom,
% 191.91/191.86 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__infinite,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__eq__1__iff,axiom,
% 191.91/191.86 ! [V_f_2,V_F_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/191.86 => ( 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)
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 191.91/191.86 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__pos__nat__iff,axiom,
% 191.91/191.86 ! [V_f_2,V_S_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.86 => ( 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)))
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__reindex__cong,axiom,
% 191.91/191.86 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.91/191.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.86 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 191.91/191.86 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__reindex,axiom,
% 191.91/191.86 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.91/191.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_o__eq__dest__lhs,axiom,
% 191.91/191.86 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 191.91/191.86 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 191.91/191.86 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Oinsert,axiom,
% 191.91/191.86 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__insert,axiom,
% 191.91/191.86 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Oreindex,axiom,
% 191.91/191.86 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_OF__eq,axiom,
% 191.91/191.86 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) )
% 191.91/191.86 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Oeq__fold,axiom,
% 191.91/191.86 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Oinsert__remove,axiom,
% 191.91/191.86 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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)))))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Oremove,axiom,
% 191.91/191.86 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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)))))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_strong__setprod__reindex__cong,axiom,
% 191.91/191.86 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.91/191.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.86 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => 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) )
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__mono__one__left,axiom,
% 191.91/191.86 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__mono__one__right,axiom,
% 191.91/191.86 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold__Un__disjoint,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fold__sup,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf1I,axiom,
% 191.91/191.86 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 191.91/191.86 ( hBOOL(hAPP(V_A_2,V_x_2))
% 191.91/191.86 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf1E,axiom,
% 191.91/191.86 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 191.91/191.86 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_IntI,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_IntE,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.86 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_finite__Int,axiom,
% 191.91/191.86 ! [V_G_2,V_F_2,T_b] :
% 191.91/191.86 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/191.86 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) )
% 191.91/191.86 => 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))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__Un__distrib,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Un__Int__distrib,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__Un__distrib2,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Un__Int__distrib2,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Un__Int__crazy,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__sup__absorb,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_sup__inf__absorb,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__sup__distrib1,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Odistrib__lattice(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_sup__inf__distrib1,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Odistrib__lattice(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__sup__distrib2,axiom,
% 191.91/191.86 ! [V_x,V_z,V_y,T_a] :
% 191.91/191.86 ( class_Lattices_Odistrib__lattice(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_sup__inf__distrib2,axiom,
% 191.91/191.86 ! [V_x,V_z,V_y,T_a] :
% 191.91/191.86 ( class_Lattices_Odistrib__lattice(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Oidem,axiom,
% 191.91/191.86 ! [V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf1D1,axiom,
% 191.91/191.86 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf1D2,axiom,
% 191.91/191.86 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Diff__Int2,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Diff__Int__distrib2,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__Diff,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Diff__Int__distrib,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inj__on__Int,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_insert__inter__insert,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__bot__left,axiom,
% 191.91/191.86 ! [V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Obounded__lattice__bot(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__bot__right,axiom,
% 191.91/191.86 ! [V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Obounded__lattice__bot(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_IntD2,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_IntD1,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__iff,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.86 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__absorb,axiom,
% 191.91/191.86 ! [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 ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__commute,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__left__absorb,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__left__commute,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__assoc,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf_Oidem,axiom,
% 191.91/191.86 ! [V_a,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__idem,axiom,
% 191.91/191.86 ! [V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf_Ocommute,axiom,
% 191.91/191.86 ! [V_b,V_a,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__sup__aci_I1_J,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__commute,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf_Oleft__idem,axiom,
% 191.91/191.86 ! [V_b,V_a,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__sup__aci_I4_J,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__left__idem,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf_Oleft__commute,axiom,
% 191.91/191.86 ! [V_c,V_a,V_b,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__sup__aci_I3_J,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__left__commute,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf_Oassoc,axiom,
% 191.91/191.86 ! [V_c,V_b,V_a,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__sup__aci_I2_J,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__assoc,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__apply,axiom,
% 191.91/191.86 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Pow__Int__eq,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_less__infI2,axiom,
% 191.91/191.86 ! [V_a,V_x,V_b,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_less__infI1,axiom,
% 191.91/191.86 ! [V_b,V_x,V_a,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__sup__ord_I1_J,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__le1,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__sup__ord_I2_J,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__le2,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_le__iff__inf,axiom,
% 191.91/191.86 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/191.86 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_le__inf__iff,axiom,
% 191.91/191.86 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/191.86 => ( 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)))
% 191.91/191.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/191.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_le__infI1,axiom,
% 191.91/191.86 ! [V_b,V_x,V_a,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_le__infI2,axiom,
% 191.91/191.86 ! [V_a,V_x,V_b,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__absorb1,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/191.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__absorb2,axiom,
% 191.91/191.86 ! [V_x,V_y,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/191.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_le__infI,axiom,
% 191.91/191.86 ! [V_b,V_a,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__greatest,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__mono,axiom,
% 191.91/191.86 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_le__infE,axiom,
% 191.91/191.86 ! [V_b,V_a,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/191.86 => ( 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)))
% 191.91/191.86 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/191.86 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_disjoint__iff__not__equal,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => ! [B_xa] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 191.91/191.86 => B_x != B_xa ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__empty__right,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__empty__left,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__lower1,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__lower2,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__absorb2,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__absorb1,axiom,
% 191.91/191.86 ! [V_A_2,V_B_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__greatest,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__mono,axiom,
% 191.91/191.86 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__eq__top__iff,axiom,
% 191.91/191.86 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Lattices_Obounded__lattice__top(T_b)
% 191.91/191.86 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 191.91/191.86 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 191.91/191.86 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__top__right,axiom,
% 191.91/191.86 ! [V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.91/191.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__top__left,axiom,
% 191.91/191.86 ! [V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.91/191.86 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__UNIV__right,axiom,
% 191.91/191.86 ! [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 ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__UNIV__left,axiom,
% 191.91/191.86 ! [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 ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2] :
% 191.91/191.86 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.86 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fun__left__comm__idem__inf,axiom,
% 191.91/191.86 ! [T_b] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/191.86 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_distrib__inf__le,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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)))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_distrib__sup__le,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Olattice(T_a)
% 191.91/191.86 => 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)))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_compl__inf__bot,axiom,
% 191.91/191.86 ! [V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__compl__bot,axiom,
% 191.91/191.86 ! [V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_diff__eq,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_compl__sup,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_compl__inf,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__insert__left__if1,axiom,
% 191.91/191.86 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__insert__right__if1,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__insert__left__if0,axiom,
% 191.91/191.86 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 191.91/191.86 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__insert__right__if0,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 191.91/191.86 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__insert__left,axiom,
% 191.91/191.86 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 191.91/191.86 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 191.91/191.86 => 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)) )
% 191.91/191.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__insert__right,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 191.91/191.86 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)) )
% 191.91/191.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_image__Int__subset,axiom,
% 191.91/191.86 ! [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)))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Diff__triv,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Diff__disjoint,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Un__Int__assoc__eq,axiom,
% 191.91/191.86 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Diff__Int,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Diff__Un,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Un__Diff__Int,axiom,
% 191.91/191.86 ! [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 ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I11_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 191.91/191.86 ! [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))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Compl__disjoint,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Compl__disjoint2,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Compl__Un,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Compl__Int,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Diff__Compl,axiom,
% 191.91/191.86 ! [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),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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Diff__eq,axiom,
% 191.91/191.86 ! [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(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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I14_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_finite__UnionD,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 191.91/191.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2] :
% 191.91/191.86 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.86 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold__inf__insert,axiom,
% 191.91/191.86 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__Sup__absorb,axiom,
% 191.91/191.86 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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 ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inj__on__image__Int,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_image__Int,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_disjoint__eq__subset__Compl,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 <=> 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))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I15_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I4_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I2_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I16_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I13_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I12_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I9_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I8_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I7_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I3_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I10_J,axiom,
% 191.91/191.86 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I1_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I6_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_ivl__disj__int_I5_J,axiom,
% 191.91/191.86 ! [V_u_2,V_l_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_compl__unique,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/191.86 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 191.91/191.86 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 191.91/191.86 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold__inf__le__inf,axiom,
% 191.91/191.86 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold1__belowI,axiom,
% 191.91/191.86 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_below__fold1__iff,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( 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)))
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__Un__Int,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Ounion__inter,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_card__Un__Int,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_card_Ounion__inter,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_card__Diff__subset__Int,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => 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))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_folding_Ounion__inter,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_atMost__Int__atLeast,axiom,
% 191.91/191.86 ! [V_na_2,T_b] :
% 191.91/191.86 ( class_Orderings_Oorder(T_b)
% 191.91/191.86 => 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))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_folding__one_Ounion__inter,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.91/191.86 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_folding__one_Ounion__disjoint,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.91/191.86 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_sup__Sup__fold__sup,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin__Sup,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Ounion__disjoint,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__Un__disjoint,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_card__Un__disjoint,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inj__on__Un,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.86 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.91/191.86 & 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold__image__Un__Int,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold1__Un,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__fin_Ounion__inter,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_folding_Ounion,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_UnionI,axiom,
% 191.91/191.86 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__binary,axiom,
% 191.91/191.86 ! [V_b_2,V_a_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Un__eq__Union,axiom,
% 191.91/191.86 ! [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))))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__UNIV,axiom,
% 191.91/191.86 ! [T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__insert,axiom,
% 191.91/191.86 ! [V_A_2,V_a_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Union__Pow__eq,axiom,
% 191.91/191.86 ! [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 ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Union__disjoint,axiom,
% 191.91/191.86 ! [V_A_2,V_C_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Union__Int__subset,axiom,
% 191.91/191.86 ! [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)))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Union__upper,axiom,
% 191.91/191.86 ! [V_A_2,V_B_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.86 => 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))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__le__iff,axiom,
% 191.91/191.86 ! [V_b_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( 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))
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_less__Sup__iff,axiom,
% 191.91/191.86 ! [V_S_2,V_a_2,T_b] :
% 191.91/191.86 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 & class_Orderings_Olinorder(T_b) )
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 191.91/191.86 <=> ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/191.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Union__empty,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Union__mono,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 => 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))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Union__insert,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_subset__Pow__Union,axiom,
% 191.91/191.86 ! [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)))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Union__UNIV,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Union__Un__distrib,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__upper,axiom,
% 191.91/191.86 ! [V_A_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__empty,axiom,
% 191.91/191.86 ! [T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Sup__singleton,axiom,
% 191.91/191.86 ! [V_a_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_card_Ounion__inter__neutral,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( ( ? [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)))
% 191.91/191.86 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__Un,axiom,
% 191.91/191.86 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Fields_Ofield(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/191.86 => 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))) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold__image__Un__one,axiom,
% 191.91/191.86 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__Un__one,axiom,
% 191.91/191.86 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_finite__Union,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 191.91/191.86 => ( ! [B_M] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 191.91/191.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Oremove,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 191.91/191.86 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => 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)))))) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_insert__partition,axiom,
% 191.91/191.86 ! [V_F_2,V_x_2,T_b] :
% 191.91/191.86 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => ! [B_xa] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => ( B_x != B_xa
% 191.91/191.86 => 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)) ) ) )
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Osingleton,axiom,
% 191.91/191.86 ! [V_x_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => 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 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_sup__Inf__absorb,axiom,
% 191.91/191.86 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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 ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Oin__idem,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_OF__eq,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Osubset__idem,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Ounion__idem,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => 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)) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__le__Sup,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 191.91/191.86 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Oinsert,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => 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 )
% 191.91/191.86 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => 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)))))) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Ounion__inter,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Oclosed,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( ! [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))))))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin_Ohom__commute,axiom,
% 191.91/191.86 ! [V_N_2,V_h_2,T_b] :
% 191.91/191.86 ( class_Lattices_Olattice(T_b)
% 191.91/191.86 => ( ! [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))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.86 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_card__partition,axiom,
% 191.91/191.86 ! [V_k_2,V_C_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 191.91/191.86 => ( ! [B_c] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 191.91/191.86 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 191.91/191.86 => ( ! [B_c1] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 191.91/191.86 => ! [B_c2] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 191.91/191.86 => ( B_c1 != B_c2
% 191.91/191.86 => 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)) ) ) )
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fold__inf,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_finite__Inter,axiom,
% 191.91/191.86 ! [V_M_2,T_b] :
% 191.91/191.86 ( ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 191.91/191.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 191.91/191.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_InterE,axiom,
% 191.91/191.86 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_InterD,axiom,
% 191.91/191.86 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_le__Inf__iff,axiom,
% 191.91/191.86 ! [V_A_2,V_b_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( 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)))
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__less__iff,axiom,
% 191.91/191.86 ! [V_a_2,V_S_2,T_b] :
% 191.91/191.86 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 & class_Orderings_Olinorder(T_b) )
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 191.91/191.86 <=> ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/191.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inter__lower,axiom,
% 191.91/191.86 ! [V_A_2,V_B_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inter__anti__mono,axiom,
% 191.91/191.86 ! [V_A_2,V_B_2,T_b] :
% 191.91/191.86 ( 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))
% 191.91/191.86 => 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))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inter__empty,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inter__insert,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inter__UNIV,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__lower,axiom,
% 191.91/191.86 ! [V_A_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inter__Un__distrib,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__singleton,axiom,
% 191.91/191.86 ! [V_a_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__empty,axiom,
% 191.91/191.86 ! [T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__UNIV,axiom,
% 191.91/191.86 ! [T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__insert,axiom,
% 191.91/191.86 ! [V_A_2,V_a_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__eq__Inter,axiom,
% 191.91/191.86 ! [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))))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inter__Un__subset,axiom,
% 191.91/191.86 ! [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)))) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__binary,axiom,
% 191.91/191.86 ! [V_b_2,V_a_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__Inf__fold__inf,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inf__fin__Inf,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__pos__nat,axiom,
% 191.91/191.86 ! [V_f_2,V_S_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/191.86 => 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))) )
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/191.86 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_g_2,B_x) = V_z_2 )
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__diff1,axiom,
% 191.91/191.86 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Oab__group__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)) )
% 191.91/191.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__diff1__ring,axiom,
% 191.91/191.86 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Rings_Oring(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__empty,axiom,
% 191.91/191.86 ! [V_f_2,T_c,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum_Oempty,axiom,
% 191.91/191.86 ! [V_g_2,T_c,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__infinite,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum_Oinfinite,axiom,
% 191.91/191.86 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__eq__0__iff,axiom,
% 191.91/191.86 ! [V_f_2,V_F_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/191.86 => ( 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)
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 191.91/191.86 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__eq__Suc0__iff,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 <=> ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.91/191.86 & ! [B_xa] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.91/191.86 => ( B_x != B_xa
% 191.91/191.86 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__reindex,axiom,
% 191.91/191.86 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.91/191.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__eq__1__iff,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( 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)
% 191.91/191.86 <=> ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.91/191.86 & ! [B_xa] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.91/191.86 => ( B_x != B_xa
% 191.91/191.86 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__add__nat__ivl,axiom,
% 191.91/191.86 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__diff__nat__ivl,axiom,
% 191.91/191.86 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 191.91/191.86 ( class_Groups_Oab__group__add(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 191.91/191.86 ! [V_k_2,V_f_2] :
% 191.91/191.86 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__insert,axiom,
% 191.91/191.86 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/191.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum_Oinsert,axiom,
% 191.91/191.86 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__Un__Int,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__diff,axiom,
% 191.91/191.86 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Oab__group__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum_Oreindex,axiom,
% 191.91/191.86 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum_Oeq__fold,axiom,
% 191.91/191.86 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum_OF__eq,axiom,
% 191.91/191.86 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) )
% 191.91/191.86 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__diff__nat,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 191.91/191.86 ! [V_k_2,V_f_2,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.86 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__head__upt__Suc,axiom,
% 191.91/191.86 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__head__Suc,axiom,
% 191.91/191.86 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum_Oinsert__remove,axiom,
% 191.91/191.86 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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)))))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__Un__disjoint,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( 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))
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__Un,axiom,
% 191.91/191.86 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Oab__group__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__diff1__nat,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 191.91/191.86 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)) )
% 191.91/191.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__Un__nat,axiom,
% 191.91/191.86 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__op__ivl__Suc,axiom,
% 191.91/191.86 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 191.91/191.86 => 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) )
% 191.91/191.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__cl__ivl__Suc,axiom,
% 191.91/191.86 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 191.91/191.86 => 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) )
% 191.91/191.86 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__ub__add__nat,axiom,
% 191.91/191.86 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.86 => ( 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))))
% 191.91/191.86 => 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)))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum_Oremove,axiom,
% 191.91/191.86 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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)))))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__diff1_H,axiom,
% 191.91/191.86 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)))))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__mono2,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.86 => ( ! [B_b] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 191.91/191.86 => 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))) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__bounded,axiom,
% 191.91/191.86 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 191.91/191.86 & class_Rings_Osemiring__1(T_c) )
% 191.91/191.86 => ( ! [B_i] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 191.91/191.86 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__Un__zero,axiom,
% 191.91/191.86 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__mono3,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 191.91/191.86 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 191.91/191.86 => 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))) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__reindex__nonzero,axiom,
% 191.91/191.86 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/191.86 => ! [B_y] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 191.91/191.86 => ( B_x != B_y
% 191.91/191.86 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 191.91/191.86 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__mono__zero__right,axiom,
% 191.91/191.86 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__mono__zero__left,axiom,
% 191.91/191.86 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__strict__mono,axiom,
% 191.91/191.86 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 191.91/191.86 => 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))) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inj__on__Inter,axiom,
% 191.91/191.86 ! [V_f_2,T_c,T_b,V_S_2] :
% 191.91/191.86 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 191.91/191.86 => ( ! [B_A] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 191.91/191.86 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Inter__subset,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( ! [B_X] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__SucD,axiom,
% 191.91/191.86 ! [V_na_2,V_A_2,V_f_2,T_b] :
% 191.91/191.86 ( 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)
% 191.91/191.86 => ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 & 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_InterI,axiom,
% 191.91/191.86 ! [V_A_2,V_C_2,T_b] :
% 191.91/191.86 ( ! [B_X] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 191.91/191.86 => 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))) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__le__fold__inf,axiom,
% 191.91/191.86 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold__sup__le__sup,axiom,
% 191.91/191.86 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__reindex__cong,axiom,
% 191.91/191.86 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 191.91/191.86 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.91/191.86 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.86 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 191.91/191.86 => ( ! [B_a] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.91/191.86 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 191.91/191.86 => 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) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setsum__ivl__cong,axiom,
% 191.91/191.86 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 191.91/191.86 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.86 & class_Orderings_Oord(T_b) )
% 191.91/191.86 => ( V_a_2 = V_c_2
% 191.91/191.86 => ( V_b_2 = V_d_2
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 191.91/191.86 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 191.91/191.86 => 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)) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_UnionE,axiom,
% 191.91/191.86 ! [V_C_2,V_A_2,T_b] :
% 191.91/191.86 ( 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)))
% 191.91/191.86 => ~ ! [B_X] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 191.91/191.86 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__pos,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Rings_Olinordered__semidom(T_c)
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_setprod__nonneg,axiom,
% 191.91/191.86 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.86 ( class_Rings_Olinordered__semidom(T_c)
% 191.91/191.86 => ( ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 191.91/191.86 => 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))) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold1__antimono,axiom,
% 191.91/191.86 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.86 => 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))) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_field__le__epsilon,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Fields_Olinordered__field(T_a)
% 191.91/191.86 => ( ! [B_e] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 191.91/191.86 => 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))) )
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_minus__code__numeral__code,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_subtract__code__numeral__def,axiom,
% 191.91/191.86 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ole__infE,axiom,
% 191.91/191.86 ! [V_b,V_a,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( 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)))
% 191.91/191.86 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/191.86 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__mono,axiom,
% 191.91/191.86 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__greatest,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ole__infI,axiom,
% 191.91/191.86 ! [V_b,V_a,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__absorb2,axiom,
% 191.91/191.86 ! [V_x,V_y,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/191.86 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__absorb1,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/191.86 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ole__infI2,axiom,
% 191.91/191.86 ! [V_a,V_x,V_b,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ole__infI1,axiom,
% 191.91/191.86 ! [V_b,V_x,V_a,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ole__inf__iff,axiom,
% 191.91/191.86 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( 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)))
% 191.91/191.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/191.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ole__iff__inf,axiom,
% 191.91/191.86 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/191.86 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__le2,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__le1,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__le__iff__disj,axiom,
% 191.91/191.86 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( 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))
% 191.91/191.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 191.91/191.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__add__distrib__left,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__less__iff__disj,axiom,
% 191.91/191.86 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( 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))
% 191.91/191.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 191.91/191.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__less__iff__conj,axiom,
% 191.91/191.86 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( 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)))
% 191.91/191.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 191.91/191.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oless__infI1,axiom,
% 191.91/191.86 ! [V_b,V_x,V_a,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oless__infI2,axiom,
% 191.91/191.86 ! [V_a,V_x,V_b,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__0R,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__0L,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__assoc,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf_Oassoc,axiom,
% 191.91/191.86 ! [V_c,V_b,V_a,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__left__commute,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 191.91/191.86 ! [V_c,V_a,V_b,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__left__idem,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 191.91/191.86 ! [V_b,V_a,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf__commute,axiom,
% 191.91/191.86 ! [V_y,V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf_Ocommute,axiom,
% 191.91/191.86 ! [V_b,V_a,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => 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) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Oinf_Oidem,axiom,
% 191.91/191.86 ! [V_a,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__Suc__Suc,axiom,
% 191.91/191.86 ! [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)) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__diff__distrib__left,axiom,
% 191.91/191.86 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.86 ( class_Groups_Oordered__ab__group__add(T_a)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__diff,axiom,
% 191.91/191.86 ! [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) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Min_Oidem,axiom,
% 191.91/191.86 ! [V_x,T_a] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_a)
% 191.91/191.86 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 191.91/191.86 ! [T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__min,axiom,
% 191.91/191.86 ! [T_b] :
% 191.91/191.86 ( ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/191.86 & class_Orderings_Olinorder(T_b) )
% 191.91/191.86 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__number__of,axiom,
% 191.91/191.86 ! [V_v,V_u,T_b] :
% 191.91/191.86 ( ( class_Int_Onumber(T_b)
% 191.91/191.86 & class_Orderings_Oord(T_b) )
% 191.91/191.86 => ( ( 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)))
% 191.91/191.86 => 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) )
% 191.91/191.86 & ( ~ 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)))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ofold__inf__insert,axiom,
% 191.91/191.86 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => 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)) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__atLeastAtMostR1,axiom,
% 191.91/191.86 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Int__atLeastAtMostL1,axiom,
% 191.91/191.86 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => 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)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 191.91/191.86 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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))) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Ofold1__belowI,axiom,
% 191.91/191.86 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold1__below__iff,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( 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))
% 191.91/191.86 <=> ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( 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)))
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_fold1__strict__below__iff,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( 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))
% 191.91/191.86 <=> ? [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_strict__below__fold1__iff,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => ( 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)))
% 191.91/191.86 <=> ! [B_x] :
% 191.91/191.86 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__ord__min,axiom,
% 191.91/191.86 ! [T_b] :
% 191.91/191.86 ( class_Orderings_Oord(T_b)
% 191.91/191.86 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Min_Oremove,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 191.91/191.86 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => 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)))))) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 191.91/191.86 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.86 => 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)))))) ) ) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Min_Oeq__fold_H,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_inf__nat__def,axiom,
% 191.91/191.86 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Min_Osingleton,axiom,
% 191.91/191.86 ! [V_x_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => 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 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Min__le,axiom,
% 191.91/191.86 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.86 => 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)) ) ) ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 191.91/191.86 ! [V_x_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => 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 ) ).
% 191.91/191.86
% 191.91/191.86 fof(fact_Min__in,axiom,
% 191.91/191.86 ! [V_A_2,T_b] :
% 191.91/191.86 ( class_Orderings_Olinorder(T_b)
% 191.91/191.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.86 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_Oin__idem,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_OF__eq,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min__antimono,axiom,
% 191.91/191.87 ! [V_N_2,V_M_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 191.91/191.87 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.87 => 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))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 191.91/191.87 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min__insert,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_Osubset__idem,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min__Un,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 191.91/191.87 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => 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 )
% 191.91/191.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => 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)))))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => 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)) ) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_Oinsert,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_Oinsert__remove,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.91/191.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => 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)))))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_Ounion__disjoint,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => 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)) ) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_Ounion__inter,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( ! [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))))))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_Oclosed,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( ! [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))))))
% 191.91/191.87 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 191.91/191.87 ! [V_N_2,V_h_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( ! [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))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.87 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min_Ohom__commute,axiom,
% 191.91/191.87 ! [V_N_2,V_h_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( ! [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))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.87 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_minus__Max__eq__Min,axiom,
% 191.91/191.87 ! [V_S_2,T_b] :
% 191.91/191.87 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.87 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_minus__Min__eq__Max,axiom,
% 191.91/191.87 ! [V_S_2,T_b] :
% 191.91/191.87 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.87 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 191.91/191.87 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ! [B_x] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Min__eqI,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ! [B_y] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 191.91/191.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Osingleton,axiom,
% 191.91/191.87 ! [V_x_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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 ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max__ge,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max__in,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max__mono,axiom,
% 191.91/191.87 ! [V_N_2,V_M_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 191.91/191.87 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.87 => 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))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Oremove,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 191.91/191.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => 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)))))) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max__eqI,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ! [B_y] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 191.91/191.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Oeq__fold_H,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Ounion__disjoint,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => 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)) ) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 191.91/191.87 ! [V_x,V_z,V_y,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 191.91/191.87 ! [V_x,V_z,V_y,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 191.91/191.87 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 191.91/191.87 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 191.91/191.87 ! [V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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 ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__inf__absorb,axiom,
% 191.91/191.87 ! [V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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 ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Ole__supE,axiom,
% 191.91/191.87 ! [V_x,V_b,V_a,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( 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))
% 191.91/191.87 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/191.87 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__mono,axiom,
% 191.91/191.87 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__least,axiom,
% 191.91/191.87 ! [V_z,V_x,V_y,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 191.91/191.87 => 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Ole__supI,axiom,
% 191.91/191.87 ! [V_b,V_x,V_a,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.91/191.87 => 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__absorb1,axiom,
% 191.91/191.87 ! [V_x,V_y,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/191.87 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__absorb2,axiom,
% 191.91/191.87 ! [V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/191.87 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Ole__supI2,axiom,
% 191.91/191.87 ! [V_a,V_b,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Ole__supI1,axiom,
% 191.91/191.87 ! [V_b,V_a,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Ole__sup__iff,axiom,
% 191.91/191.87 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( 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))
% 191.91/191.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 191.91/191.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Ole__iff__sup,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/191.87 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_le__maxI2,axiom,
% 191.91/191.87 ! [V_x,V_y,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_le__maxI1,axiom,
% 191.91/191.87 ! [V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_le__max__iff__disj,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( 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)))
% 191.91/191.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__add__distrib__left,axiom,
% 191.91/191.87 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.87 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__less__iff__conj,axiom,
% 191.91/191.87 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( 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))
% 191.91/191.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 191.91/191.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_less__max__iff__disj,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( 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)))
% 191.91/191.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Oless__supI1,axiom,
% 191.91/191.87 ! [V_b,V_a,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Oless__supI2,axiom,
% 191.91/191.87 ! [V_a,V_b,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__0R,axiom,
% 191.91/191.87 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__0L,axiom,
% 191.91/191.87 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__Suc__Suc,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__assoc,axiom,
% 191.91/191.87 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup_Oassoc,axiom,
% 191.91/191.87 ! [V_c,V_b,V_a,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__left__commute,axiom,
% 191.91/191.87 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 191.91/191.87 ! [V_c,V_a,V_b,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__left__idem,axiom,
% 191.91/191.87 ! [V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 191.91/191.87 ! [V_b,V_a,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__commute,axiom,
% 191.91/191.87 ! [V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup_Ocommute,axiom,
% 191.91/191.87 ! [V_b,V_a,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup_Oidem,axiom,
% 191.91/191.87 ! [V_a,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__diff__distrib__left,axiom,
% 191.91/191.87 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.87 ( class_Groups_Oordered__ab__group__add(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Oidem,axiom,
% 191.91/191.87 ! [V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_sup__max,axiom,
% 191.91/191.87 ! [T_b] :
% 191.91/191.87 ( ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/191.87 & class_Orderings_Olinorder(T_b) )
% 191.91/191.87 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 191.91/191.87 ! [T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__number__of,axiom,
% 191.91/191.87 ! [V_v,V_u,T_b] :
% 191.91/191.87 ( ( class_Int_Onumber(T_b)
% 191.91/191.87 & class_Orderings_Oord(T_b) )
% 191.91/191.87 => ( ( 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)))
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ 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)))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Odistrib__sup__le,axiom,
% 191.91/191.87 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Odistrib__inf__le,axiom,
% 191.91/191.87 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_a)
% 191.91/191.87 => 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)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_minus__max__eq__min,axiom,
% 191.91/191.87 ! [V_y,V_x,T_a] :
% 191.91/191.87 ( class_Groups_Olinordered__ab__group__add(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_minus__min__eq__max,axiom,
% 191.91/191.87 ! [V_y,V_x,T_a] :
% 191.91/191.87 ( class_Groups_Olinordered__ab__group__add(T_a)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__minus__add__max,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Ofold__sup__insert,axiom,
% 191.91/191.87 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Oin__idem,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Int__atLeastAtMost,axiom,
% 191.91/191.87 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Int__atLeastLessThan,axiom,
% 191.91/191.87 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Int__greaterThanAtMost,axiom,
% 191.91/191.87 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Int__greaterThanLessThan,axiom,
% 191.91/191.87 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Int__atLeastAtMostR2,axiom,
% 191.91/191.87 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Int__atLeastAtMostL2,axiom,
% 191.91/191.87 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_OF__eq,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 191.91/191.87 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max__insert,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Osubset__idem,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 191.91/191.87 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.87 => 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 ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max__Un,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 191.91/191.87 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Oinsert,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Oinsert__remove,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.91/191.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => 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)))))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Ounion__inter,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__ord__max,axiom,
% 191.91/191.87 ! [T_b] :
% 191.91/191.87 ( class_Orderings_Oord(T_b)
% 191.91/191.87 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Oclosed,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( ! [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))))))
% 191.91/191.87 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OInf__le__Sup,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 191.91/191.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => 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)))))) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_sup__nat__def,axiom,
% 191.91/191.87 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 191.91/191.87 ! [V_x_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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 ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 191.91/191.87 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.87 => 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 ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 191.91/191.87 ! [V_a_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => 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 )
% 191.91/191.87 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.91/191.87 => 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)))))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => 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)) ) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => ( ! [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))))))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 191.91/191.87 ! [V_N_2,V_h_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( ! [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))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.87 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Max_Ohom__commute,axiom,
% 191.91/191.87 ! [V_N_2,V_h_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( ! [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))
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.87 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 191.91/191.87 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => ( ! [B_x] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_arith__series__int,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 191.91/191.87 ! [V_w] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( 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))))
% 191.91/191.87 => 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))) )
% 191.91/191.87 & ( ~ 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))))
% 191.91/191.87 => 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)))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_diff__nat__number__of,axiom,
% 191.91/191.87 ! [V_v_2,V_v_H_2] :
% 191.91/191.87 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__abs,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__abs__ge__zero,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_sup__fun__def,axiom,
% 191.91/191.87 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Lattices_Olattice(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_sup__Un__eq2,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 <=> 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(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_sup__Un__eq,axiom,
% 191.91/191.87 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 <=> 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inf__fun__def,axiom,
% 191.91/191.87 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Lattices_Olattice(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inf__Int__eq,axiom,
% 191.91/191.87 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 <=> 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inf__Int__eq2,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 <=> 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(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inj__singleton,axiom,
% 191.91/191.87 ! [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))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_image__constant__conv,axiom,
% 191.91/191.87 ! [V_c_2,T_c,T_b,V_A_2] :
% 191.91/191.87 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_finite__range__imageI,axiom,
% 191.91/191.87 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 191.91/191.87 ( 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)))))
% 191.91/191.87 => 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))))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setprod_Odistrib,axiom,
% 191.91/191.87 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_less__eq__Suc__le__raw,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__number__of__Bit0,axiom,
% 191.91/191.87 ! [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))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setprod__dividef,axiom,
% 191.91/191.87 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.87 ( class_Fields_Ofield__inverse__zero(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_K__record__comp,axiom,
% 191.91/191.87 ! [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 ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inj__on__add__nat,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_pred__subset__eq,axiom,
% 191.91/191.87 ! [V_S_2,V_R_2,T_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_pred__subset__eq2,axiom,
% 191.91/191.87 ! [V_S_2,V_R_2,T_c,T_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 <=> 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inj__on__id2,axiom,
% 191.91/191.87 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fold__image__def,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_folding__image_Odistrib,axiom,
% 191.91/191.87 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_pred__equals__eq2,axiom,
% 191.91/191.87 ! [V_S_2,V_R_2,T_c,T_b] :
% 191.91/191.87 ( 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)
% 191.91/191.87 <=> V_R_2 = V_S_2 ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_pred__equals__eq,axiom,
% 191.91/191.87 ! [V_S_2,V_R_2,T_b] :
% 191.91/191.87 ( 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)
% 191.91/191.87 <=> V_R_2 = V_S_2 ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_bot__empty__eq,axiom,
% 191.91/191.87 ! [V_x_2,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 191.91/191.87 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_bot__empty__eq2,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 <=> 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)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_o__def,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fun__diff__def,axiom,
% 191.91/191.87 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Ominus(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_bot__fun__def,axiom,
% 191.91/191.87 ! [V_x_2,T_c,T_b] :
% 191.91/191.87 ( class_Orderings_Obot(T_b)
% 191.91/191.87 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 191.91/191.87 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.91/191.87 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fun__upd__def,axiom,
% 191.91/191.87 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 191.91/191.87 ( ( V_x_2 = V_a_2
% 191.91/191.87 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 191.91/191.87 & ( V_x_2 != V_a_2
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 191.91/191.87 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.91/191.87 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fun__Compl__def,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Ouminus(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_image__image,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_image__ident,axiom,
% 191.91/191.87 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 191.91/191.87
% 191.91/191.87 fof(fact_range__composition,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inj__fun,axiom,
% 191.91/191.87 ! [T_d,V_f_2,T_c,T_b] :
% 191.91/191.87 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_abs__setprod,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Fields_Olinordered__field(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setprod__1,axiom,
% 191.91/191.87 ! [V_A_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setprod__timesf,axiom,
% 191.91/191.87 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_of__int__setprod,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/191.87 & class_Rings_Oring__1(T_b) )
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_int__setprod,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum_Odistrib,axiom,
% 191.91/191.87 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__addf,axiom,
% 191.91/191.87 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__negf,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Oab__group__add(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_abs__setsum__abs,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__product,axiom,
% 191.91/191.87 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Rings_Osemiring__0(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__left__distrib,axiom,
% 191.91/191.87 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Rings_Osemiring__0(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__right__distrib,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 191.91/191.87 ( class_Rings_Osemiring__0(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__divide__distrib,axiom,
% 191.91/191.87 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Fields_Ofield(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__commute,axiom,
% 191.91/191.87 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__0,axiom,
% 191.91/191.87 ! [V_A_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__subtractf,axiom,
% 191.91/191.87 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Groups_Oab__group__add(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_of__int__setsum,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Rings_Oring__1(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_of__nat__setsum,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( class_Rings_Osemiring__1(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_int__setsum,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 191.91/191.87 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 191.91/191.87 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 191.91/191.87 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_b] :
% 191.91/191.87 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 191.91/191.87 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_card__eq__setsum,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_of__nat__setprod,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/191.87 & class_Rings_Osemiring__1(T_b) )
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_image__add__atLeastLessThan,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_image__add__atLeastAtMost,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__delta_H,axiom,
% 191.91/191.87 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__delta,axiom,
% 191.91/191.87 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_image__constant,axiom,
% 191.91/191.87 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setprod__delta,axiom,
% 191.91/191.87 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setprod__delta_H,axiom,
% 191.91/191.87 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__constant,axiom,
% 191.91/191.87 ! [V_A_2,V_y_2,T_c,T_b] :
% 191.91/191.87 ( class_Rings_Osemiring__1(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_power__number__of__even,axiom,
% 191.91/191.87 ! [V_w_2,V_z_2,T_b] :
% 191.91/191.87 ( class_Int_Onumber__ring(T_b)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fold__image__distrib,axiom,
% 191.91/191.87 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_dual__max,axiom,
% 191.91/191.87 ! [T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_dual__min,axiom,
% 191.91/191.87 ! [T_b] :
% 191.91/191.87 ( class_Orderings_Olinorder(T_b)
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setprod__constant,axiom,
% 191.91/191.87 ! [V_y_2,V_A_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_zpower__number__of__even,axiom,
% 191.91/191.87 ! [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))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__lessThan__Suc,axiom,
% 191.91/191.87 ! [V_na_2,V_f_2,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__atMost__Suc,axiom,
% 191.91/191.87 ! [V_na_2,V_f_2,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 191.91/191.87 ! [V_A_2,V_f_2,T_b] :
% 191.91/191.87 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_image__add__int__atLeastLessThan,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 191.91/191.87 ! [V_f_2,V_A_2,T_b] :
% 191.91/191.87 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/191.87 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Powp__Pow__eq,axiom,
% 191.91/191.87 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__restrict__set,axiom,
% 191.91/191.87 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_image__eq__fold__image,axiom,
% 191.91/191.87 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_power__number__of__even__number__of,axiom,
% 191.91/191.87 ! [V_w_2,V_v_2,T_b] :
% 191.91/191.87 ( class_Int_Onumber__ring(T_b)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_card_Oeq__fold__g,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_card__def,axiom,
% 191.91/191.87 ! [V_A_2,T_b] :
% 191.91/191.87 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fun__left__comm__idem__remove,axiom,
% 191.91/191.87 ! [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))))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_diff__nat__eq__if,axiom,
% 191.91/191.87 ! [V_z_2,V_z_H_2] :
% 191.91/191.87 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negDivAlg__div__mod,axiom,
% 191.91/191.87 ! [V_l,V_k] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negDivAlg__minus1,axiom,
% 191.91/191.87 ! [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))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 191.91/191.87 ! [V_f_2,V_A_2,T_b] :
% 191.91/191.87 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/191.87 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_adjust__eq,axiom,
% 191.91/191.87 ! [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))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__head,axiom,
% 191.91/191.87 ! [V_Pa_2,V_na_2,V_m_2,T_b] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_minus__fold__remove,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Suc__eq__number__of,axiom,
% 191.91/191.87 ! [V_v_2,V_na_2] :
% 191.91/191.87 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 191.91/191.87 <=> 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))))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_eq__number__of__Suc,axiom,
% 191.91/191.87 ! [V_na_2,V_v_2] :
% 191.91/191.87 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2)
% 191.91/191.87 <=> 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))))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__number__of__Bit1,axiom,
% 191.91/191.87 ! [V_w_2] :
% 191.91/191.87 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/191.87 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/191.87 => 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)))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_geometric__sum,axiom,
% 191.91/191.87 ! [V_na_2,V_x_2,T_b] :
% 191.91/191.87 ( class_Fields_Ofield(T_b)
% 191.91/191.87 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_gauss__sum,axiom,
% 191.91/191.87 ! [V_na_2,T_b] :
% 191.91/191.87 ( class_Rings_Ocomm__semiring__1(T_b)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setsum__natinterval__difff,axiom,
% 191.91/191.87 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 191.91/191.87 ( class_Groups_Oab__group__add(T_b)
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.87 => 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)))) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_less__number__of__Suc,axiom,
% 191.91/191.87 ! [V_na_2,V_v_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 <=> 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)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_less__Suc__number__of,axiom,
% 191.91/191.87 ! [V_v_2,V_na_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 <=> 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))))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_le__Suc__number__of,axiom,
% 191.91/191.87 ! [V_v_2,V_na_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 <=> 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))))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_le__number__of__Suc,axiom,
% 191.91/191.87 ! [V_na_2,V_v_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 <=> 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)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__Suc__number__of,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__number__of__Suc,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_power__number__of__odd,axiom,
% 191.91/191.87 ! [V_z_2,V_w_2,T_b] :
% 191.91/191.87 ( class_Int_Onumber__ring(T_b)
% 191.91/191.87 => ( ( 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)))
% 191.91/191.87 => 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))) )
% 191.91/191.87 & ( ~ 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)))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_setprod__gen__delta,axiom,
% 191.91/191.87 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/191.87 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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)))) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 191.91/191.87 ! [V_x_2,V_y_2,V_c_2] :
% 191.91/191.87 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 191.91/191.87 => 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))) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 191.91/191.87 => 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)) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_zpower__number__of__odd,axiom,
% 191.91/191.87 ! [V_z_2,V_w_2] :
% 191.91/191.87 ( ( 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)))
% 191.91/191.87 => 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))) )
% 191.91/191.87 & ( ~ 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)))
% 191.91/191.87 => 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) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_arith__series__general,axiom,
% 191.91/191.87 ! [V_na_2,V_d_2,V_a_2,T_b] :
% 191.91/191.87 ( class_Rings_Ocomm__semiring__1(T_b)
% 191.91/191.87 => 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)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negDivAlg_Osimps,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( ( ( 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)))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ ( 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)))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__number__of__Suc,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__Suc__number__of,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_arith__series__nat,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_power__number__of__odd__number__of,axiom,
% 191.91/191.87 ! [V_v_2,V_w_2,T_b] :
% 191.91/191.87 ( class_Int_Onumber__ring(T_b)
% 191.91/191.87 => ( ( 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)))
% 191.91/191.87 => 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))) )
% 191.91/191.87 & ( ~ 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)))
% 191.91/191.87 => 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) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 191.91/191.87 ! [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 ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negDivAlg__eqn__number__of,axiom,
% 191.91/191.87 ! [V_w,V_v] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( 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))))
% 191.91/191.87 => 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))) )
% 191.91/191.87 & ( ~ 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))))
% 191.91/191.87 => 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)))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negDivAlg__eqn,axiom,
% 191.91/191.87 ! [V_a,V_b] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => ( ( 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)))
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ 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)))
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_norm__frac_Osimps,axiom,
% 191.91/191.87 ! [V_a_2,V_b_2] :
% 191.91/191.87 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/191.87 => 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))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__case__add__eq__if,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 191.91/191.87 ! [V_w] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( 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)))
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ 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)))
% 191.91/191.87 => 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)))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_posDivAlg_Osimps,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_sup2CI,axiom,
% 191.91/191.87 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 191.91/191.87 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_sup2E,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inf2I,axiom,
% 191.91/191.87 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inf2E,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.91/191.87 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_bot2E,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_less__by__empty,axiom,
% 191.91/191.87 ! [V_B_2,T_b,V_A_2] :
% 191.91/191.87 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_predicate2D,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_rev__predicate2D,axiom,
% 191.91/191.87 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inf2D1,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_inf2D2,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_sup2I2,axiom,
% 191.91/191.87 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_sup2I1,axiom,
% 191.91/191.87 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__case__0,axiom,
% 191.91/191.87 ! [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 ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__case__Suc,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_posDivAlg__0,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__Suc2,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_max__Suc1,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 191.91/191.87 ! [V_na_2,V_m_2] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 191.91/191.87 <=> 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_diff__Suc,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__Suc2,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_min__Suc1,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_posDivAlg__div__mod,axiom,
% 191.91/191.87 ! [V_l,V_k] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__case__number__of,axiom,
% 191.91/191.87 ! [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))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_posDivAlg__eqn,axiom,
% 191.91/191.87 ! [V_a,V_b] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_posDivAlg__eqn__number__of,axiom,
% 191.91/191.87 ! [V_w,V_v] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( 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)))
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ 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)))
% 191.91/191.87 => 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)))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_in__rel__def,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 191.91/191.87 <=> 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)),V_R_2)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__mod__code__numeral__def,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Nitpick_Orefl_H__def,axiom,
% 191.91/191.87 ! [V_r_2,T_b] :
% 191.91/191.87 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 191.91/191.87 <=> ! [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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_adjust__def,axiom,
% 191.91/191.87 ! [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))))))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__step,axiom,
% 191.91/191.87 ! [V_m,V_n] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__rec__add__eq__if,axiom,
% 191.91/191.87 ! [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))))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__rec__0,axiom,
% 191.91/191.87 ! [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 ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__rec__Suc,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__zero,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__base,axiom,
% 191.91/191.87 ! [V_n,V_m] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__div__mod,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__rec__number__of,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_pair__imageI,axiom,
% 191.91/191.87 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_of__int__num,axiom,
% 191.91/191.87 ! [V_k_2,T_b] :
% 191.91/191.87 ( class_Rings_Oring__1(T_b)
% 191.91/191.87 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 191.91/191.87 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => 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))) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => 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))))) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 191.91/191.87 ! [V_na_2,T_b] :
% 191.91/191.87 ( class_Rings_Osemiring__1(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_prod__caseI,axiom,
% 191.91/191.87 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_splitI,axiom,
% 191.91/191.87 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mem__splitI,axiom,
% 191.91/191.87 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 191.91/191.87 => 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)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_splitD_H,axiom,
% 191.91/191.87 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_splitD,axiom,
% 191.91/191.87 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 191.91/191.87 ! [V_i_2,V_inc_2,T_b] :
% 191.91/191.87 ( class_Rings_Osemiring__1(T_b)
% 191.91/191.87 => 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 ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 191.91/191.87 ! [V_i_2,V_na_2,V_inc_2,T_b] :
% 191.91/191.87 ( class_Rings_Osemiring__1(T_b)
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Pair__inject,axiom,
% 191.91/191.87 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 191.91/191.87 ( 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)
% 191.91/191.87 => ~ ( V_a = V_a_H
% 191.91/191.87 => V_b != V_b_H ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Pair__eq,axiom,
% 191.91/191.87 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.87 ( 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)
% 191.91/191.87 <=> ( V_a_2 = V_a_H_2
% 191.91/191.87 & V_b_2 = V_b_H_2 ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_split__paired__All,axiom,
% 191.91/191.87 ! [T_c,T_b,V_Pa_2] :
% 191.91/191.87 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/191.87 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_split__weak__cong,axiom,
% 191.91/191.87 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 191.91/191.87 ( V_p_2 = V_q_2
% 191.91/191.87 => 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) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__mod__div,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_split__conv,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_prod_Osimps_I2_J,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__if,axiom,
% 191.91/191.87 ! [V_m_2,V_na_2] :
% 191.91/191.87 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_split__eta,axiom,
% 191.91/191.87 ! [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 ).
% 191.91/191.87
% 191.91/191.87 fof(fact_swap__inj__on,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_split__twice,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Nitpick_OFrac__def,axiom,
% 191.91/191.87 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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__def,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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))) ) ) ) ) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => 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))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__pdivmod,axiom,
% 191.91/191.87 ! [V_l_2,V_k_2] :
% 191.91/191.87 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negateSnd__def,axiom,
% 191.91/191.87 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_apsnd__conv,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_apsnd__compose,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negateSnd__eq,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_pdivmod__def,axiom,
% 191.91/191.87 ! [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))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_pdivmod__posDivAlg,axiom,
% 191.91/191.87 ! [V_k,V_l] :
% 191.91/191.87 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__code,axiom,
% 191.91/191.87 ! [V_l_2,V_k_2] :
% 191.91/191.87 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)))) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 191.91/191.87 ! [V_a,V_r,V_q,V_c,V_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.91/191.87 => 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)))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 191.91/191.87 ! [V_c,V_r,V_q,V_b,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.91/191.87 => 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)))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negDivAlg_Opsimps,axiom,
% 191.91/191.87 ! [V_b_2,V_a_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( ( 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)))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ ( 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)))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_accp_Osimps,axiom,
% 191.91/191.87 ! [V_a_2,V_r_2,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 191.91/191.87 <=> ! [B_x] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 191.91/191.87 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_accp_Oequations,axiom,
% 191.91/191.87 ! [V_a_2,V_r_2,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 191.91/191.87 <=> ! [B_x] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 191.91/191.87 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_accp__downward,axiom,
% 191.91/191.87 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 191.91/191.87 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.91/191.87 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__rel__unique,axiom,
% 191.91/191.87 ! [V_qr_H,V_qr,V_n,V_m] :
% 191.91/191.87 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 191.91/191.87 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 191.91/191.87 => V_qr = V_qr_H ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 191.91/191.87 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__eq,axiom,
% 191.91/191.87 ! [V_qr,V_n,V_m] :
% 191.91/191.87 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 191.91/191.87 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_accp__subset,axiom,
% 191.91/191.87 ! [V_R2_2,V_R1_2,T_b] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mod__eq,axiom,
% 191.91/191.87 ! [V_r,V_q,V_n,V_m] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__eq,axiom,
% 191.91/191.87 ! [V_r,V_q,V_n,V_m] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__rel,axiom,
% 191.91/191.87 ! [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)))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 191.91/191.87 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( 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)))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.91/191.87 => 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)))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_posDivAlg_Opsimps,axiom,
% 191.91/191.87 ! [V_b_2,V_a_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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) )
% 191.91/191.87 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_norm__frac_Opsimps,axiom,
% 191.91/191.87 ! [V_b_2,V_a_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/191.87 => 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)) )
% 191.91/191.87 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/191.87 => 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))) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negDivAlg_Opinduct,axiom,
% 191.91/191.87 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ! [B_a,B_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( ~ ( 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)))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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))) )
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_posDivAlg_Opinduct,axiom,
% 191.91/191.87 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ! [B_a,B_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 191.91/191.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/191.87 => 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))) )
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__gcd_Opsimps,axiom,
% 191.91/191.87 ! [V_y_2,V_x_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.87 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 191.91/191.87 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.87 => 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_zmult2__lemma,axiom,
% 191.91/191.87 ! [V_c,V_r,V_q,V_b,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.91/191.87 => 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)))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__rel__0,axiom,
% 191.91/191.87 ! [V_b] :
% 191.91/191.87 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_self__remainder,axiom,
% 191.91/191.87 ! [V_r,V_q,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_unique__quotient,axiom,
% 191.91/191.87 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( 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)))
% 191.91/191.87 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => V_q = V_q_H ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_unique__remainder,axiom,
% 191.91/191.87 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( 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)))
% 191.91/191.87 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => V_r = V_r_H ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__rel__neg,axiom,
% 191.91/191.87 ! [V_qr,V_b,V_a] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__correct,axiom,
% 191.91/191.87 ! [V_a,V_b] :
% 191.91/191.87 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_self__quotient,axiom,
% 191.91/191.87 ! [V_r,V_q,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__rel__mod,axiom,
% 191.91/191.87 ! [V_r,V_q,V_b,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__rel__div,axiom,
% 191.91/191.87 ! [V_r,V_q,V_b,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_negDivAlg__correct,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__rel__div__mod,axiom,
% 191.91/191.87 ! [V_a,V_b] :
% 191.91/191.87 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_posDivAlg__correct,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_zadd1__lemma,axiom,
% 191.91/191.87 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( 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)))
% 191.91/191.87 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_zminus1__lemma,axiom,
% 191.91/191.87 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => 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))))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__relI,axiom,
% 191.91/191.87 ! [V_r,V_q,V_b,V_a] :
% 191.91/191.87 ( 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)
% 191.91/191.87 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.91/191.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.91/191.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_zmult1__lemma,axiom,
% 191.91/191.87 ! [V_a,V_r,V_q,V_c,V_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/191.87 => 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)))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__int__rel__def,axiom,
% 191.91/191.87 ! [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))))))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 191.91/191.87 ! [V_f_2,V_A_2,T_b] :
% 191.91/191.87 ( ! [B_x] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.87 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mod__pos__neg__1__number__of,axiom,
% 191.91/191.87 ! [V_w] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => 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))))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_in__measure,axiom,
% 191.91/191.87 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 191.91/191.87 ( 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)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 191.91/191.87 <=> 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_apsnd__eq__conv,axiom,
% 191.91/191.87 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 191.91/191.87 ( 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)
% 191.91/191.87 <=> 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_snd__apsnd,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_snd__eqD,axiom,
% 191.91/191.87 ! [V_a,V_y,V_x,T_a,T_b] :
% 191.91/191.87 ( 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
% 191.91/191.87 => V_y = V_a ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_snd__conv,axiom,
% 191.91/191.87 ! [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 ).
% 191.91/191.87
% 191.91/191.87 fof(fact_snd__def,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_measure__snd,axiom,
% 191.91/191.87 ! [T_c,V_f_2,T_b] :
% 191.91/191.87 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mod__int__def,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mod__neg__pos,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mod__pos__pos,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mod__pos__pos__1__number__of,axiom,
% 191.91/191.87 ! [V_w] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mod__pos__neg,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => 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)))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mod__neg__neg,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => 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)))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 191.91/191.87 ! [V_f_2,V_A_2,T_b] :
% 191.91/191.87 ( ! [B_x] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.87 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_norm__frac_Opinduct,axiom,
% 191.91/191.87 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ! [B_a,B_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => 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))) )
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__pos__neg__1__number__of,axiom,
% 191.91/191.87 ! [V_w] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => 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))))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_prod__eqI,axiom,
% 191.91/191.87 ! [V_q,V_p,T_b,T_a] :
% 191.91/191.87 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 191.91/191.87 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 191.91/191.87 => V_p = V_q ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_Pair__fst__snd__eq,axiom,
% 191.91/191.87 ! [T_c,T_b,V_t_2,V_s_2] :
% 191.91/191.87 ( V_s_2 = V_t_2
% 191.91/191.87 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 191.91/191.87 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fst__def,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fst__conv,axiom,
% 191.91/191.87 ! [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 ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fst__eqD,axiom,
% 191.91/191.87 ! [V_a,V_y,V_x,T_b,T_a] :
% 191.91/191.87 ( 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
% 191.91/191.87 => V_x = V_a ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_fst__apsnd,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_measure__fst,axiom,
% 191.91/191.87 ! [T_c,V_f_2,T_b] :
% 191.91/191.87 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_surjective__pairing,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_pair__collapse,axiom,
% 191.91/191.87 ! [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 ).
% 191.91/191.87
% 191.91/191.87 fof(fact_prod__case__beta,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_split__comp,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__int__def,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mod__nat__def,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_split__beta,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_split__comp__eq,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_split__def,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__neg__pos,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__pos__pos,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/191.87 => 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)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__pos__pos__1__number__of,axiom,
% 191.91/191.87 ! [V_w] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => 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))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__pos__neg,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => 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)))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__neg__neg,axiom,
% 191.91/191.87 ! [V_b,V_a] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/191.87 => 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)))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_prod__size__simp,axiom,
% 191.91/191.87 ! [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))) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_conjI__realizer,axiom,
% 191.91/191.87 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] :
% 191.91/191.87 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 191.91/191.87 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 191.91/191.87 => ( 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))))
% 191.91/191.87 & 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)))) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_exI__realizer,axiom,
% 191.91/191.87 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 191.91/191.87 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 191.91/191.87 => 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)))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_div__nat__def,axiom,
% 191.91/191.87 ! [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)) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_divmod__nat__rel__def,axiom,
% 191.91/191.87 ! [V_qr_2,V_na_2,V_m_2] :
% 191.91/191.87 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2))
% 191.91/191.87 <=> ( 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))
% 191.91/191.87 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.87 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/191.87 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 191.91/191.87 => ( 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)))
% 191.91/191.87 & 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)) ) )
% 191.91/191.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 191.91/191.87 => ( 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)))
% 191.91/191.87 & 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))) ) ) ) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_nat__gcd_Opinduct,axiom,
% 191.91/191.87 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ! [B_x,B_y] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 191.91/191.87 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_range,axiom,
% 191.91/191.87 ! [V_s,V_k] :
% 191.91/191.87 ( 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))
% 191.91/191.87 => 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)) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mlex__leq,axiom,
% 191.91/191.87 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => ( 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))
% 191.91/191.87 => 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_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_mlex__less,axiom,
% 191.91/191.87 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 => 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_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_prod_Orecs,axiom,
% 191.91/191.87 ! [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) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_in__lex__prod,axiom,
% 191.91/191.87 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 <=> ( 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_a_H_2)),V_r_2))
% 191.91/191.87 | ( V_a_2 = V_a_H_2
% 191.91/191.87 & 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)) ) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_in__finite__psubset,axiom,
% 191.91/191.87 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.87 ( 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)))
% 191.91/191.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.87 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 191.91/191.87
% 191.91/191.87 fof(fact_same__fstI,axiom,
% 191.91/191.87 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 191.91/191.87 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.87 => ( 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)))
% 191.91/191.87 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__nonneg__leq__bound,axiom,
% 191.91/191.88 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 191.91/191.88 ( class_Groups_Oordered__ab__group__add(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 191.91/191.88 => ( ! [B_i] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 191.91/191.88 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__nonneg__0,axiom,
% 191.91/191.88 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 191.91/191.88 ( class_Groups_Oordered__ab__group__add(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 191.91/191.88 => ( ! [B_i] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 191.91/191.88 => ( 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)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 191.91/191.88 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_sum__diff__distrib,axiom,
% 191.91/191.88 ! [V_na_2,V_Pa_2,V_Q_2] :
% 191.91/191.88 ( ! [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)))
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apfst__apsnd,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apsnd__apfst,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apfst__compose,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apfst__conv,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apfst__eq__conv,axiom,
% 191.91/191.88 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 191.91/191.88 ( 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)
% 191.91/191.88 <=> 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_fst__apfst,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_snd__apfst,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apsnd__apfst__commute,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_pair__lessI2,axiom,
% 191.91/191.88 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INFI__fold__inf,axiom,
% 191.91/191.88 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUPR__fold__sup,axiom,
% 191.91/191.88 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__I,axiom,
% 191.91/191.88 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__D,axiom,
% 191.91/191.88 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__E,axiom,
% 191.91/191.88 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 191.91/191.88 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP1__I,axiom,
% 191.91/191.88 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF1__D,axiom,
% 191.91/191.88 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF1__E,axiom,
% 191.91/191.88 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 191.91/191.88 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP2__I,axiom,
% 191.91/191.88 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF2__D,axiom,
% 191.91/191.88 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF2__E,axiom,
% 191.91/191.88 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 191.91/191.88 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__INT,axiom,
% 191.91/191.88 ! [V_A_2,T_c,V_I_2,T_b] :
% 191.91/191.88 ( ? [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 191.91/191.88 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF__INT__eq2,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 191.91/191.88 ( 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))),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))
% 191.91/191.88 <=> 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__iff,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__iff,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 <=> ? [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP__UN__eq2,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 191.91/191.88 ( 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))),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))
% 191.91/191.88 <=> 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I10_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I10_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_image__UN,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I10_J,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I10_J,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__o,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Inter__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I8_J,axiom,
% 191.91/191.88 ! [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)),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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I8_J,axiom,
% 191.91/191.88 ! [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)),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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I8_J,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I8_J,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Union__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( 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)
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I5_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I5_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Pow__INT__eq,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Compl__UN,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Compl__INT,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF__commute,axiom,
% 191.91/191.88 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP__commute,axiom,
% 191.91/191.88 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INFI__apply,axiom,
% 191.91/191.88 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUPR__apply,axiom,
% 191.91/191.88 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I7_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I6_J,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I7_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I6_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I4_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UNION__empty__conv_I2_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__constant,axiom,
% 191.91/191.88 ! [V_c_2,T_c,T_b,V_A_2] :
% 191.91/191.88 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__empty2,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UNION__empty__conv_I1_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( 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)
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__subset__iff,axiom,
% 191.91/191.88 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__subset__iff,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__Pow__subset,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I4_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Int__UN__distrib2,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I4_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Int__UN__distrib,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I5_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__Int__distrib,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I4_J,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I5_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I7_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I6_J,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__Un__distrib,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I7_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Un__INT__distrib,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__Un,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I6_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Un__INT__distrib2,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__UN,axiom,
% 191.91/191.88 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( 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)))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP__le__iff,axiom,
% 191.91/191.88 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.88 => ( 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))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_le__INF__iff,axiom,
% 191.91/191.88 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.88 => ( 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)))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_less__SUP__iff,axiom,
% 191.91/191.88 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 191.91/191.88 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.88 & class_Orderings_Olinorder(T_b) )
% 191.91/191.88 => ( 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)))
% 191.91/191.88 <=> ? [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF__less__iff,axiom,
% 191.91/191.88 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.88 & class_Orderings_Olinorder(T_b) )
% 191.91/191.88 => ( 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))
% 191.91/191.88 <=> ? [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__insert__distrib,axiom,
% 191.91/191.88 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__lower,axiom,
% 191.91/191.88 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => 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_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF__INT__eq,axiom,
% 191.91/191.88 ! [V_x_2,V_r_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__absorb,axiom,
% 191.91/191.88 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 191.91/191.88 => 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) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF__const,axiom,
% 191.91/191.88 ! [V_M_2,T_b,V_A_2,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP__const,axiom,
% 191.91/191.88 ! [V_M_2,T_b,V_A_2,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__insert__distrib,axiom,
% 191.91/191.88 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__constant,axiom,
% 191.91/191.88 ! [V_c_2,T_c,T_b,V_A_2] :
% 191.91/191.88 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__empty,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I2_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I1_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__upper,axiom,
% 191.91/191.88 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP__UN__eq,axiom,
% 191.91/191.88 ! [V_x_2,V_r_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__absorb,axiom,
% 191.91/191.88 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 191.91/191.88 => 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) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__insert,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I1_J,axiom,
% 191.91/191.88 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__singleton,axiom,
% 191.91/191.88 ! [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 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I1_J,axiom,
% 191.91/191.88 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))) )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__Un,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I2_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I3_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I2_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I3_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__insert,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_image__Union,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Int__Union,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Int__Union2,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Un__Inter,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Union__image__eq,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UNION__eq__Union__image,axiom,
% 191.91/191.88 ! [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_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INTER__eq__Inter__image,axiom,
% 191.91/191.88 ! [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_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Inter__image__eq,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__lessThan__UNIV,axiom,
% 191.91/191.88 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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__atMost__UNIV,axiom,
% 191.91/191.88 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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__atLeast__UNIV,axiom,
% 191.91/191.88 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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP__subset,axiom,
% 191.91/191.88 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF__subset,axiom,
% 191.91/191.88 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I1_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I2_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I3_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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) )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I3_J,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/191.88 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_image__eq__UN,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__UN__finite__eq,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF__leI,axiom,
% 191.91/191.88 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_le__SUPI,axiom,
% 191.91/191.88 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Un__Union__image,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Int__Inter__image,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__le__add__shift,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__greaterThan__UNIV,axiom,
% 191.91/191.88 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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_pair__lessI1,axiom,
% 191.91/191.88 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_sup__SUPR__fold__sup,axiom,
% 191.91/191.88 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_inf__INFI__fold__inf,axiom,
% 191.91/191.88 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__le__eq__Un0,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_pair__leqI2,axiom,
% 191.91/191.88 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_smin__insertI,axiom,
% 191.91/191.88 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_smax__insertI,axiom,
% 191.91/191.88 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_smin__emptyI,axiom,
% 191.91/191.88 ! [V_X_2] :
% 191.91/191.88 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_smax__emptyI,axiom,
% 191.91/191.88 ! [V_Y_2] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 191.91/191.88 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__extend__simps_I9_J,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__extend__simps_I9_J,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INT__simps_I9_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__simps_I9_J,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__UN__flatten,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF1__iff,axiom,
% 191.91/191.88 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP1__iff,axiom,
% 191.91/191.88 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> ? [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_INF2__iff,axiom,
% 191.91/191.88 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SUP2__iff,axiom,
% 191.91/191.88 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> ? [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_ball__UN,axiom,
% 191.91/191.88 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( ! [B_x] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 => ! [B_xa] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 191.91/191.88 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_pair__leqI1,axiom,
% 191.91/191.88 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wmax__insertI,axiom,
% 191.91/191.88 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wmin__insertI,axiom,
% 191.91/191.88 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_nat__def,axiom,
% 191.91/191.88 ! [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)))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Rep__Integ__inject,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2] :
% 191.91/191.88 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 191.91/191.88 <=> V_x_2 = V_y_2 ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wmax__emptyI,axiom,
% 191.91/191.88 ! [V_X_2] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wmin__emptyI,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_min__weak__def,axiom,
% 191.91/191.88 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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_max__weak__def,axiom,
% 191.91/191.88 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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__finite2__subset,axiom,
% 191.91/191.88 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 191.91/191.88 ( ! [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)))
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_max__strict__def,axiom,
% 191.91/191.88 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_max__ext__additive,axiom,
% 191.91/191.88 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_min__strict__def,axiom,
% 191.91/191.88 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_max__extp__max__ext__eq,axiom,
% 191.91/191.88 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 191.91/191.88 ( 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)
% 191.91/191.88 <=> 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__finite2__eq,axiom,
% 191.91/191.88 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 191.91/191.88 ( ! [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)
% 191.91/191.88 => 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) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__finite__subset,axiom,
% 191.91/191.88 ! [V_C_2,V_A_2,T_b] :
% 191.91/191.88 ( ! [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))
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_max__rpair__set,axiom,
% 191.91/191.88 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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_min__rpair__set,axiom,
% 191.91/191.88 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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_less__than__iff,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_pair__less__def,axiom,
% 191.91/191.88 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_mlex__prod__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_intrel__iff,axiom,
% 191.91/191.88 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> 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) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_image__INT,axiom,
% 191.91/191.88 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 191.91/191.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 191.91/191.88 => 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)) )
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rp__inv__image__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_in__inv__image,axiom,
% 191.91/191.88 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 191.91/191.88 ( 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)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 191.91/191.88 <=> 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rp__inv__image__rp,axiom,
% 191.91/191.88 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 191.91/191.88 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 191.91/191.88 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_measure__def,axiom,
% 191.91/191.88 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_irrefl__def,axiom,
% 191.91/191.88 ! [V_r_2,T_b] :
% 191.91/191.88 ( c_Relation_Oirrefl(T_b,V_r_2)
% 191.91/191.88 <=> ! [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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Field__insert,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Id__on__def,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Field__Union,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Id__on__def_H,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Id__on__empty,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Field__empty,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_mono__Field,axiom,
% 191.91/191.88 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Field__Un,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__Field,axiom,
% 191.91/191.88 ! [V_r_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Id__on__eqI,axiom,
% 191.91/191.88 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 191.91/191.88 ( V_a_2 = V_b_2
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => 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)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Id__on__iff,axiom,
% 191.91/191.88 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 191.91/191.88 ( 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_Relation_OId__on(T_b,V_A_2)))
% 191.91/191.88 <=> ( V_x_2 = V_y_2
% 191.91/191.88 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Id__onE,axiom,
% 191.91/191.88 ! [V_A_2,V_c_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 191.91/191.88 => ~ ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equiv__intrel__iff,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2] :
% 191.91/191.88 ( 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))))
% 191.91/191.88 <=> 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 191.91/191.88 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 191.91/191.88 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.88 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/191.88 => ( V_A_2 = V_B_2
% 191.91/191.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.91/191.88 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 191.91/191.88 => 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) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__empty,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__Un,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__UN,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__Int__subset,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__mono,axiom,
% 191.91/191.88 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Un__Image,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__Id__on,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__INT__subset,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rev__ImageI,axiom,
% 191.91/191.88 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__iff,axiom,
% 191.91/191.88 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 191.91/191.88 <=> ? [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.88 & 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__eq__UN,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__singleton__iff,axiom,
% 191.91/191.88 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 191.91/191.88 ( 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))))))
% 191.91/191.88 <=> 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_of__int,axiom,
% 191.91/191.88 ! [V_j_2,V_i_2,T_b] :
% 191.91/191.88 ( class_Rings_Oring__1(T_b)
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_One__int__def,axiom,
% 191.91/191.88 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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_mult,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Rep__Integ__inverse,axiom,
% 191.91/191.88 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_minus,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Zero__int__def,axiom,
% 191.91/191.88 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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_int__def,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_add,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_nat,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_minus__int__def,axiom,
% 191.91/191.88 ! [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))))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_less,axiom,
% 191.91/191.88 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 191.91/191.88 ( 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)))))))
% 191.91/191.88 <=> 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_le,axiom,
% 191.91/191.88 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 191.91/191.88 ( 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)))))))
% 191.91/191.88 <=> 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_eq__Abs__Integ,axiom,
% 191.91/191.88 ! [V_z_2] :
% 191.91/191.88 ~ ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotient__def,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_ImageE,axiom,
% 191.91/191.88 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 191.91/191.88 => ~ ! [B_x] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotient__empty,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotient__is__empty2,axiom,
% 191.91/191.88 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( 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)
% 191.91/191.88 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotient__is__empty,axiom,
% 191.91/191.88 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotient__diff1,axiom,
% 191.91/191.88 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 191.91/191.88 ( 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)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotientI,axiom,
% 191.91/191.88 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_singleton__quotient,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_card__quotient__disjoint,axiom,
% 191.91/191.88 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( 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)
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equiv__class__nondisjoint,axiom,
% 191.91/191.88 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( 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)))))))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_subset__equiv__class,axiom,
% 191.91/191.88 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( 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))))))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotientE,axiom,
% 191.91/191.88 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => ~ ! [B_x] :
% 191.91/191.88 ( 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))))
% 191.91/191.88 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equiv__intrel,axiom,
% 191.91/191.88 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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Union__quotient,axiom,
% 191.91/191.88 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => 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 ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equiv__class__self,axiom,
% 191.91/191.88 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => 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)))))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotient__disj,axiom,
% 191.91/191.88 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( V_X_2 = V_Y_2
% 191.91/191.88 | 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)) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equiv__class__eq,axiom,
% 191.91/191.88 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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)))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotient__eq__iff,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 191.91/191.88 => ( V_X_2 = V_Y_2
% 191.91/191.88 <=> 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)),V_r_2)) ) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_quotient__eqI,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 191.91/191.88 => ( 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)),V_r_2))
% 191.91/191.88 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_eq__equiv__class__iff,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.91/191.88 => ( 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))))
% 191.91/191.88 <=> 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)),V_r_2)) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_eq__equiv__class,axiom,
% 191.91/191.88 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 191.91/191.88 ( 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))))
% 191.91/191.88 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equiv__class__eq__iff,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( 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)),V_r_2))
% 191.91/191.88 <=> ( 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))))
% 191.91/191.88 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.88 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equiv__class__subset,axiom,
% 191.91/191.88 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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)))))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_eq__equiv__class__iff2,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.91/191.88 => ( 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)
% 191.91/191.88 <=> 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)),V_r_2)) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__equiv__class2,axiom,
% 191.91/191.88 ! [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] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 191.91/191.88 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 191.91/191.88 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 191.91/191.88 => 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) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__equiv__class,axiom,
% 191.91/191.88 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => 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) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equivp__equiv,axiom,
% 191.91/191.88 ! [V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 191.91/191.88 <=> 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equivp__transp,axiom,
% 191.91/191.88 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equivp__symp,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equivp__reflp,axiom,
% 191.91/191.88 ! [V_x_2,V_R_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.88 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equivp__def,axiom,
% 191.91/191.88 ! [V_R_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.88 <=> ! [B_x,B_y] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 191.91/191.88 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_identity__equivp,axiom,
% 191.91/191.88 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_congruent2__implies__congruent,axiom,
% 191.91/191.88 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 191.91/191.88 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_congruent2D,axiom,
% 191.91/191.88 ! [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] :
% 191.91/191.88 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 191.91/191.88 => ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_congruentD,axiom,
% 191.91/191.88 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 191.91/191.88 => ( 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))
% 191.91/191.88 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_congruent2__implies__congruent__UN,axiom,
% 191.91/191.88 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 191.91/191.88 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 191.91/191.88 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 191.91/191.88 => 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)) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__equiv__class__inject,axiom,
% 191.91/191.88 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 191.91/191.88 => ( 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)
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => ! [B_y] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 191.91/191.88 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 191.91/191.88 => 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)) ) ) )
% 191.91/191.88 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__equiv__class__type2,axiom,
% 191.91/191.88 ! [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] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 191.91/191.88 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 191.91/191.88 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( ! [B_x1] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 191.91/191.88 => ! [B_x2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 191.91/191.88 => 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)) ) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__equiv__class__type,axiom,
% 191.91/191.88 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 191.91/191.88 => 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)) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Integ__def,axiom,
% 191.91/191.88 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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 191.91/191.88 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 191.91/191.88 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.88 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/191.88 => ( V_A_2 = V_B_2
% 191.91/191.88 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.91/191.88 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 191.91/191.88 => 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) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_accp__acc__eq,axiom,
% 191.91/191.88 ! [V_x_2,V_r_2,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_acc__subset,axiom,
% 191.91/191.88 ! [V_R2_2,V_R1_2,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Rep__Integ,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_acc__downward,axiom,
% 191.91/191.88 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_acc_Osimps,axiom,
% 191.91/191.88 ! [V_r_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.91/191.88 <=> ! [B_x] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_type__definition__Integ,axiom,
% 191.91/191.88 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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_max__extp_Oequations,axiom,
% 191.91/191.88 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 191.91/191.88 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 191.91/191.88 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 191.91/191.88 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 & ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 191.91/191.88 => ? [B_xa] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 191.91/191.88 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_max__ext_Ointros,axiom,
% 191.91/191.88 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 191.91/191.88 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 191.91/191.88 => ? [B_xa] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 191.91/191.88 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 191.91/191.88 => 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))) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_type__definition_ORep__range,axiom,
% 191.91/191.88 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.91/191.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.91/191.88 => 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 ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_type__definition_OAbs__image,axiom,
% 191.91/191.88 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.91/191.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_type__definition_OAbs__inject,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.91/191.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 191.91/191.88 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 191.91/191.88 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_type__definition_ORep__inverse,axiom,
% 191.91/191.88 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.91/191.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.91/191.88 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_type__definition_ORep__inject,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.91/191.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.91/191.88 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 191.91/191.88 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_type__definition_ORep,axiom,
% 191.91/191.88 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.91/191.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_type__definition_OAbs__inverse,axiom,
% 191.91/191.88 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.91/191.88 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 191.91/191.88 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_the__elem__def,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Rep__Integ__induct,axiom,
% 191.91/191.88 ! [V_Pa_2,V_y_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 191.91/191.88 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 191.91/191.88 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_The__split__eq,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_split__paired__The,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_the__inv__into__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_fold__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_divmod__nat__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_fold1__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_The__split,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Nitpick_Oone__frac__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Nitpick_Ofrac__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_flat__lub__def,axiom,
% 191.91/191.88 ! [V_b_2,V_A_2,T_b] :
% 191.91/191.88 ( ( 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)))))
% 191.91/191.88 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 191.91/191.88 & ( ~ 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)))))
% 191.91/191.88 => 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)))))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_inj__vimage__singleton,axiom,
% 191.91/191.88 ! [V_a_2,V_f_2,T_c,T_b] :
% 191.91/191.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.88 => 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),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))))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Rep__Integ__cases,axiom,
% 191.91/191.88 ! [V_y_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 191.91/191.88 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimageI,axiom,
% 191.91/191.88 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 191.91/191.88 ( hAPP(V_f_2,V_a_2) = V_b_2
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__UNIV,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__UN,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__empty,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__Un,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__INT,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__compose,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__ident,axiom,
% 191.91/191.88 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__mono,axiom,
% 191.91/191.88 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__Int,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__Compl,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__code,axiom,
% 191.91/191.88 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 191.91/191.88 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__Diff,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimageI2,axiom,
% 191.91/191.88 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimageD,axiom,
% 191.91/191.88 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__eq,axiom,
% 191.91/191.88 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 191.91/191.88 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_image__vimage__subset,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_surj__image__vimage__eq,axiom,
% 191.91/191.88 ! [V_A_2,V_f_2,T_b,T_c] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => 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 ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__Union,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__singleton__eq,axiom,
% 191.91/191.88 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 191.91/191.88 ( 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))))))
% 191.91/191.88 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__insert,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__vimageD,axiom,
% 191.91/191.88 ! [V_F_2,V_h_2,T_c,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__subsetD,axiom,
% 191.91/191.88 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_image__vimage__eq,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__vimageI,axiom,
% 191.91/191.88 ! [V_h_2,T_c,V_F_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/191.88 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_inj__vimage__image__eq,axiom,
% 191.91/191.88 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.88 => 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 ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__const,axiom,
% 191.91/191.88 ! [T_c,V_A_2,V_c_2,T_b] :
% 191.91/191.88 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__eq__UN,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__subsetI,axiom,
% 191.91/191.88 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 191.91/191.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__if,axiom,
% 191.91/191.88 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 191.91/191.88 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.88 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 191.91/191.88 => 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 ) ) )
% 191.91/191.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/191.88 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 191.91/191.88 => 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) )
% 191.91/191.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 191.91/191.88 => 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)) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_image__split__eq__Sigma,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_inj__on__INTER,axiom,
% 191.91/191.88 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 191.91/191.88 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => ( ! [B_i] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 191.91/191.88 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_card__less__Suc2,axiom,
% 191.91/191.88 ! [V_i_2,V_M_2] :
% 191.91/191.88 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 191.91/191.88 => 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))))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_CollectI,axiom,
% 191.91/191.88 ! [T_b,V_a_2,V_Pa_2] :
% 191.91/191.88 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__Collect__conjI,axiom,
% 191.91/191.88 ! [V_Q_2,V_Pa_2,T_b] :
% 191.91/191.88 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/191.88 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 191.91/191.88 => 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)))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__Collect__less__nat,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__Collect__le__nat,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SigmaI,axiom,
% 191.91/191.88 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__Collect__eq,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__mem__eq,axiom,
% 191.91/191.88 ! [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 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_mem__Collect__eq,axiom,
% 191.91/191.88 ! [V_Pa_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/191.88 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_CollectD,axiom,
% 191.91/191.88 ! [V_Pa_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/191.88 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_CollectE,axiom,
% 191.91/191.88 ! [V_Pa_2,V_a_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/191.88 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Times__eq__cancel2,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 191.91/191.88 => ( 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))
% 191.91/191.88 <=> V_A_2 = V_B_2 ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__Diff__distrib2,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Times__Diff__distrib1,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__Diff__distrib1,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_insert__Collect,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__Collect__disjI,axiom,
% 191.91/191.88 ! [V_Q_2,V_Pa_2,T_b] :
% 191.91/191.88 ( 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))))
% 191.91/191.88 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/191.88 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__def,axiom,
% 191.91/191.88 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__conj__eq,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__neg__eq,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__disj__eq,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_empty__Collect__eq,axiom,
% 191.91/191.88 ! [V_Pa_2,T_b] :
% 191.91/191.88 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 191.91/191.88 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__empty__eq,axiom,
% 191.91/191.88 ! [V_Pa_2,T_b] :
% 191.91/191.88 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_empty__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__Union,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__split,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SetCompr__Sigma__eq,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__empty1,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UNIV__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_card__cartesian__product,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__cartesian__product,axiom,
% 191.91/191.88 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__empty2,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Times__empty,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Compl__Times__UNIV2,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Compl__Times__UNIV1,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setprod__cartesian__product,axiom,
% 191.91/191.88 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_insert__compr,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_insert__compr__raw,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Un__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Int__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Int__Collect,axiom,
% 191.91/191.88 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 191.91/191.88 ( 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))))
% 191.91/191.88 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.88 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__Un__distrib1,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Times__Un__distrib1,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__Un__distrib2,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__conv__if,axiom,
% 191.91/191.88 ! [T_b,V_a_2,V_Pa_2] :
% 191.91/191.88 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/191.88 => 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))) )
% 191.91/191.88 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__conv__if2,axiom,
% 191.91/191.88 ! [T_b,V_a_2,V_Pa_2] :
% 191.91/191.88 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/191.88 => 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))) )
% 191.91/191.88 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_singleton__conv,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_singleton__conv2,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_set__diff__eq,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__Collect__not,axiom,
% 191.91/191.88 ! [V_Pa_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/191.88 => ( 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))))
% 191.91/191.88 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_insert__def,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_swap__product,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__cartesian__product,axiom,
% 191.91/191.88 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.91/191.88 => 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)))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Compl__eq,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_equiv__type,axiom,
% 191.91/191.88 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.88 => 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)))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__Int__distrib1,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Times__Int__distrib1,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__Int__distrib2,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Collect__imp__eq,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Id__on__subset__Times,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__M__bounded__by__nat,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UNIV__Times__UNIV,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SigmaE2,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SigmaD2,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SigmaD1,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_mem__Sigma__iff,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.88 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_card__cartesian__product__singleton,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Times__subset__cancel2,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 191.91/191.88 => ( 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))))
% 191.91/191.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__subset,axiom,
% 191.91/191.88 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 191.91/191.88 ( 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))))
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__setsum__restrict,axiom,
% 191.91/191.88 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 191.91/191.88 => 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) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__cartesian__productD1,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( 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))))
% 191.91/191.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__cartesian__productD2,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.91/191.88 ( 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))))
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_if__image__distrib,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_fst__image__times,axiom,
% 191.91/191.88 ! [V_A_2,T_c,T_b,V_B_2] :
% 191.91/191.88 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_snd__image__times,axiom,
% 191.91/191.88 ! [V_B_2,T_c,T_b,V_A_2] :
% 191.91/191.88 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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)) )
% 191.91/191.88 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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 ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_nat__seg__image__imp__finite,axiom,
% 191.91/191.88 ! [V_na_2,V_f_2,T_b,V_A_2] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__restrict__set_H,axiom,
% 191.91/191.88 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_insert__times__insert,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__image__gen,axiom,
% 191.91/191.88 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__equiv__class,axiom,
% 191.91/191.88 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( 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))))
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__Times,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_UN__Times__distrib,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Sigma__def,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__quotient,axiom,
% 191.91/191.88 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( 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))))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Image__singleton,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__cases,axiom,
% 191.91/191.88 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => 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))))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_card__less__Suc,axiom,
% 191.91/191.88 ! [V_i_2,V_M_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 191.91/191.88 => 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))))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_card__less,axiom,
% 191.91/191.88 ! [V_i_2,V_M_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 191.91/191.88 => 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) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 191.91/191.88 ! [V_A_2,V_I_2,T_c,T_b] :
% 191.91/191.88 ? [B_f] :
% 191.91/191.88 ( 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))
% 191.91/191.88 & 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_fold__image__Sigma,axiom,
% 191.91/191.88 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__multicount,axiom,
% 191.91/191.88 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 191.91/191.88 => 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 )
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__Collect__subsets,axiom,
% 191.91/191.88 ! [V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => 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)))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Pow__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_inj__graph,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__psubset__def,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_inv__image__def,axiom,
% 191.91/191.88 ! [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))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Nitpick_Oprod__def,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_int__ge__less__than2__def,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_int__ge__less__than__def,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setprod__Sigma,axiom,
% 191.91/191.88 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__Sigma,axiom,
% 191.91/191.88 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 191.91/191.88 => 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)) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_card__SigmaI,axiom,
% 191.91/191.88 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 191.91/191.88 => 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) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.88 ( class_Orderings_Olinorder(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))))) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.88 ( class_Orderings_Olinorder(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))))) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 191.91/191.88 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.88 ( class_Orderings_Olinorder(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__Collect__bounded__ex,axiom,
% 191.91/191.88 ! [V_Q_2,T_c,V_Pa_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/191.88 => ( 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),V_Pa_2))),V_Q_2)))))
% 191.91/191.88 <=> ! [B_y] :
% 191.91/191.88 ( hBOOL(hAPP(V_Pa_2,B_y))
% 191.91/191.88 => 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_y)))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__image__set,axiom,
% 191.91/191.88 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/191.88 => 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_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))))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_Pow__Compl,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_add__Max__commute,axiom,
% 191.91/191.88 ! [V_k_2,V_N_2,T_b] :
% 191.91/191.88 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_add__Min__commute,axiom,
% 191.91/191.88 ! [V_k_2,V_N_2,T_b] :
% 191.91/191.88 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/191.88 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_sup__Inf2__distrib,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.88 ( class_Lattices_Odistrib__lattice(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))))) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_sup__Inf1__distrib,axiom,
% 191.91/191.88 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.88 ( class_Lattices_Odistrib__lattice(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_inf__Sup1__distrib,axiom,
% 191.91/191.88 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.88 ( class_Lattices_Odistrib__lattice(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_inf__Sup2__distrib,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.88 ( class_Lattices_Odistrib__lattice(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/191.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))))) ) ) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 191.91/191.88 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.88 ( class_Orderings_Olinorder(T_b)
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.88 => 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))))) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 191.91/191.88 ( class_Rings_Osemiring__0(T_d)
% 191.91/191.88 => ( 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)))
% 191.91/191.88 => 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))))))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_length__sublist,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__SigmaI,axiom,
% 191.91/191.88 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 => ( ! [B_a] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.91/191.88 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_inj__on__id,axiom,
% 191.91/191.88 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apfst__id,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_id__def,axiom,
% 191.91/191.88 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_neq__if__length__neq,axiom,
% 191.91/191.88 ! [V_ys,V_xs,T_a] :
% 191.91/191.88 ( 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)
% 191.91/191.88 => V_xs != V_ys ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_id__apply,axiom,
% 191.91/191.88 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apsnd__id,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_vimage__id,axiom,
% 191.91/191.88 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_id__o,axiom,
% 191.91/191.88 ! [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 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_o__id,axiom,
% 191.91/191.88 ! [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 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_o__eq__id__dest,axiom,
% 191.91/191.88 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 191.91/191.88 ( 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)
% 191.91/191.88 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_image__id,axiom,
% 191.91/191.88 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_of__int__eq__id,axiom,
% 191.91/191.88 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_surj__id,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_folding_Oempty,axiom,
% 191.91/191.88 ! [V_F_2,V_f_2,T_c,T_b] :
% 191.91/191.88 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.91/191.88 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_split__Pair,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__reindex__id,axiom,
% 191.91/191.88 ! [V_B_2,V_f_2,T_b,T_c] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.88 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setprod__reindex__id,axiom,
% 191.91/191.88 ! [V_B_2,V_f_2,T_b,T_c] :
% 191.91/191.88 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/191.88 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_setsum__multicount__gen,axiom,
% 191.91/191.88 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 191.91/191.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 191.91/191.88 => ( ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 191.91/191.88 => 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) )
% 191.91/191.88 => 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) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_SigmaE,axiom,
% 191.91/191.88 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => ~ ! [B_x] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.88 => ! [B_y] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 191.91/191.88 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair__surj,axiom,
% 191.91/191.88 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair__imageI,axiom,
% 191.91/191.88 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair_Oidentity,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair_Oid,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_fst__comp__map__pair,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair_Ocomp,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair__compose,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair_Ocompositionality,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_snd__comp__map__pair,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_fst__map__pair,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair__ident,axiom,
% 191.91/191.88 ! [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 ).
% 191.91/191.88
% 191.91/191.88 fof(fact_snd__prod__fun,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair__simp,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apsnd__def,axiom,
% 191.91/191.88 ! [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) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_apfst__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair__def,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair__surj__on,axiom,
% 191.91/191.88 ! [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] :
% 191.91/191.88 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 191.91/191.88 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_map__pair__inj__on,axiom,
% 191.91/191.88 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.88 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.88 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_prod__fun__imageE,axiom,
% 191.91/191.88 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 191.91/191.88 ( 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)))
% 191.91/191.88 => ~ ! [B_x,B_y] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ~ 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_finite__conv__nat__seg__image,axiom,
% 191.91/191.88 ! [V_A_2,T_b] :
% 191.91/191.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.88 <=> ? [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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__comp__def,axiom,
% 191.91/191.88 ! [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))))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__compI,axiom,
% 191.91/191.88 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_O__assoc,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__comp__mono,axiom,
% 191.91/191.88 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__comp__distrib2,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__comp__distrib,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__comp__empty2,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__comp__empty1,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__comp__UNION__distrib2,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__comp__UNION__distrib,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_union__comp__emptyL,axiom,
% 191.91/191.88 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_union__comp__emptyR,axiom,
% 191.91/191.88 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 => ( 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))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_rel__comp__subset__Sigma,axiom,
% 191.91/191.88 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 191.91/191.88 ( 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))))
% 191.91/191.88 => ( 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))))
% 191.91/191.88 => 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)))) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_max__ext__compat,axiom,
% 191.91/191.88 ! [V_S_2,V_R_2,T_b] :
% 191.91/191.88 ( 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_S_2)),V_R_2))
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_min__ext__compat,axiom,
% 191.91/191.88 ! [V_S_2,V_R_2,T_b] :
% 191.91/191.88 ( 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_S_2)),V_R_2))
% 191.91/191.88 => 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_pred__comp__rel__comp__eq,axiom,
% 191.91/191.88 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> 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))) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_reduction__pairI,axiom,
% 191.91/191.88 ! [V_S_2,V_R_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.91/191.88 => ( 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_S_2)),V_R_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_sublist__append,axiom,
% 191.91/191.88 ! [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)))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__less__than,axiom,
% 191.91/191.88 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_pred__comp_Ointros,axiom,
% 191.91/191.88 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.91/191.88 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 191.91/191.88 => 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)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__empty,axiom,
% 191.91/191.88 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__inv__image,axiom,
% 191.91/191.88 ! [V_f_2,T_c,V_r_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.88 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__lex__prod,axiom,
% 191.91/191.88 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 191.91/191.88 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 191.91/191.88 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__measure,axiom,
% 191.91/191.88 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__comp__self,axiom,
% 191.91/191.88 ! [V_R_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.91/191.88 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_length__append,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_max__ext__wf,axiom,
% 191.91/191.88 ! [V_r_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.88 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__pair__less,axiom,
% 191.91/191.88 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_append__eq__appendI,axiom,
% 191.91/191.88 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 191.91/191.88 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 191.91/191.88 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 191.91/191.88 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_append__same__eq,axiom,
% 191.91/191.88 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 191.91/191.88 ( 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)
% 191.91/191.88 <=> V_ys_2 = V_zs_2 ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_same__append__eq,axiom,
% 191.91/191.88 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.88 ( 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)
% 191.91/191.88 <=> V_ys_2 = V_zs_2 ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_append__eq__append__conv2,axiom,
% 191.91/191.88 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.88 ( 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)
% 191.91/191.88 <=> ? [B_us] :
% 191.91/191.88 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 191.91/191.88 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 191.91/191.88 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 191.91/191.88 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_append__assoc,axiom,
% 191.91/191.88 ! [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)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_pred__comp_Oequations,axiom,
% 191.91/191.88 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 191.91/191.88 ( 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))
% 191.91/191.88 <=> ? [B_b] :
% 191.91/191.88 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 191.91/191.88 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__Int2,axiom,
% 191.91/191.88 ! [V_r_H_2,V_r_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__Int1,axiom,
% 191.91/191.88 ! [V_r_H_2,V_r_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.88 => 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)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__subset,axiom,
% 191.91/191.88 ! [V_p_2,V_r_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.88 => ( 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))
% 191.91/191.88 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__mlex,axiom,
% 191.91/191.88 ! [V_f_2,V_R_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.91/191.88 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__finite__psubset,axiom,
% 191.91/191.88 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_min__ext__wf,axiom,
% 191.91/191.88 ! [V_r_2,T_b] :
% 191.91/191.88 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.88 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 191.91/191.88
% 191.91/191.88 fof(fact_wf__less,axiom,
% 191.91/191.88 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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__irrefl,axiom,
% 191.91/191.89 ! [V_a_2,V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 => ~ 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__asym,axiom,
% 191.91/191.89 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 => ( 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))
% 191.91/191.89 => ~ 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__not__sym,axiom,
% 191.91/191.89 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 => ( 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))
% 191.91/191.89 => ~ 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__not__refl,axiom,
% 191.91/191.89 ! [V_a_2,V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 => ~ 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__int__ge__less__than2,axiom,
% 191.91/191.89 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__int__ge__less__than,axiom,
% 191.91/191.89 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_acc__wfD,axiom,
% 191.91/191.89 ! [V_x_2,V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__acc__iff,axiom,
% 191.91/191.89 ! [V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__no__loop,axiom,
% 191.91/191.89 ! [V_R_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__union__merge,axiom,
% 191.91/191.89 ! [V_S_2,V_R_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 <=> 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 191.91/191.89 ! [V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 <=> ~ ? [B_f] :
% 191.91/191.89 ! [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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wfE__pf,axiom,
% 191.91/191.89 ! [V_A_2,V_R_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__union__compatible,axiom,
% 191.91/191.89 ! [V_S_2,V_R_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.91/191.89 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 191.91/191.89 => ( 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))
% 191.91/191.89 => 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf,axiom,
% 191.91/191.89 ! [T_b] :
% 191.91/191.89 ( class_Orderings_Owellorder(T_b)
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_reduction__pair__def,axiom,
% 191.91/191.89 ! [V_Pa_2,T_b] :
% 191.91/191.89 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 191.91/191.89 <=> ( 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))
% 191.91/191.89 & 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_reduction__pair__lemma,axiom,
% 191.91/191.89 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 191.91/191.89 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 191.91/191.89 => 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)) ) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__map__pair__image,axiom,
% 191.91/191.89 ! [V_f_2,T_c,V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__lenlex,axiom,
% 191.91/191.89 ! [V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__if__measure,axiom,
% 191.91/191.89 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 191.91/191.89 ( ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.89 => 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))) )
% 191.91/191.89 => 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))))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__Collect__split,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_RangeI,axiom,
% 191.91/191.89 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__Id__on,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__Union,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__empty,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__empty__iff,axiom,
% 191.91/191.89 ! [V_r_2,T_b,T_c] :
% 191.91/191.89 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.89 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__Un__eq,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_finite__Range,axiom,
% 191.91/191.89 ! [V_r_2,T_c,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 191.91/191.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_snd__eq__Range,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__iff,axiom,
% 191.91/191.89 ! [V_r_2,T_c,V_a_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 191.91/191.89 <=> ? [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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__insert,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__Int__subset,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Range__Diff__subset,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_pred__nat__def,axiom,
% 191.91/191.89 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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_RangeP__Range__eq,axiom,
% 191.91/191.89 ! [V_x_2,V_r_2,T_c,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lenlex__def,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_RangeP_Ointros,axiom,
% 191.91/191.89 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.91/191.89 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__lex,axiom,
% 191.91/191.89 ! [V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_RangeP_Oequations,axiom,
% 191.91/191.89 ! [V_a2_2,V_r_2,T_c,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 191.91/191.89 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__pred__nat,axiom,
% 191.91/191.89 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lenlex__conv,axiom,
% 191.91/191.89 ! [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)))))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lex__def,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_wf__lexn,axiom,
% 191.91/191.89 ! [V_na_2,V_r_2,T_b] :
% 191.91/191.89 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.89 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_RangeE,axiom,
% 191.91/191.89 ! [V_r_2,T_c,V_b_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 191.91/191.89 => ~ ! [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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexn_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexn__length,axiom,
% 191.91/191.89 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2
% 191.91/191.89 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexn_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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)))))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__lex,axiom,
% 191.91/191.89 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 & 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Cons__in__lex,axiom,
% 191.91/191.89 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ( ( 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))
% 191.91/191.89 & 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) )
% 191.91/191.89 | ( V_x_2 = V_y_2
% 191.91/191.89 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list_Oinject,axiom,
% 191.91/191.89 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 <=> ( V_a_2 = V_a_H_2
% 191.91/191.89 & V_list_2 = V_list_H_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_not__Cons__self2,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 191.91/191.89
% 191.91/191.89 fof(fact_not__Cons__self,axiom,
% 191.91/191.89 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__Cons,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Cons__eq__appendI,axiom,
% 191.91/191.89 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 191.91/191.89 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 191.91/191.89 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_impossible__Cons,axiom,
% 191.91/191.89 ! [V_x,V_ys,V_xs,T_a] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__cons__cons,axiom,
% 191.91/191.89 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ( 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))
% 191.91/191.89 | ( V_a_2 = V_b_2
% 191.91/191.89 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__append__left__rightI,axiom,
% 191.91/191.89 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list_Osize_I4_J,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__append__leftI,axiom,
% 191.91/191.89 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__Cons__def,axiom,
% 191.91/191.89 ! [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)))))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_pick_Osimps,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_a,V_i] :
% 191.91/191.89 ( ( 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)))
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( ~ 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)))
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sublist__Cons,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list_Osimps_I3_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__Cons__sing__Nil,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_eq__Nil__appendI,axiom,
% 191.91/191.89 ! [T_a,V_ys,V_xs] :
% 191.91/191.89 ( V_xs = V_ys
% 191.91/191.89 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__self__conv2,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__self__conv,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 191.91/191.89 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__is__Nil__conv,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 191.91/191.89 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 191.91/191.89 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_self__append__conv2,axiom,
% 191.91/191.89 ! [V_xs_2,T_b,V_ys_2] :
% 191.91/191.89 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_self__append__conv,axiom,
% 191.91/191.89 ! [V_ys_2,T_b,V_xs_2] :
% 191.91/191.89 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 191.91/191.89 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__Nil2,axiom,
% 191.91/191.89 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Nil__is__append__conv,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 191.91/191.89 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 191.91/191.89 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__Nil,axiom,
% 191.91/191.89 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sublist__nil,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__0__conv,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list_Osize_I3_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append1__eq__conv,axiom,
% 191.91/191.89 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 <=> ( V_xs_2 = V_ys_2
% 191.91/191.89 & V_x_2 = V_y_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Cons__eq__append__conv,axiom,
% 191.91/191.89 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 191.91/191.89 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 191.91/191.89 | ? [B_ys_H] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 191.91/191.89 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__eq__Cons__conv,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 191.91/191.89 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 191.91/191.89 | ? [B_ys_H] :
% 191.91/191.89 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 191.91/191.89 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sublist__empty,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__greater__0__conv,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__Nil__right,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Nil__notin__lex,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Nil2__notin__lex,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sublist__singleton,axiom,
% 191.91/191.89 ! [V_x_2,T_b,V_A_2] :
% 191.91/191.89 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 191.91/191.89 => 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)) )
% 191.91/191.89 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_select__weight__cons__zero,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 191.91/191.89 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 & V_x_2 = V_y_2 )
% 191.91/191.89 | ( V_xs_2 = V_ys_2
% 191.91/191.89 & 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__append__leftD,axiom,
% 191.91/191.89 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => ( ! [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))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Cons__acc__listrel1I,axiom,
% 191.91/191.89 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.91/191.89 => ( 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))))
% 191.91/191.89 => 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)))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel1__mono,axiom,
% 191.91/191.89 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel1I2,axiom,
% 191.91/191.89 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel1__eq__len,axiom,
% 191.91/191.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_not__Nil__listrel1,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_not__listrel1__Nil,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__listrel1I,axiom,
% 191.91/191.89 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 & V_us_2 = V_vs_2 )
% 191.91/191.89 | ( V_xs_2 = V_ys_2
% 191.91/191.89 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) )
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Cons__listrel1__Cons,axiom,
% 191.91/191.89 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ( ( 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))
% 191.91/191.89 & V_xs_2 = V_ys_2 )
% 191.91/191.89 | ( V_x_2 = V_y_2
% 191.91/191.89 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel1I1,axiom,
% 191.91/191.89 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel1I,axiom,
% 191.91/191.89 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => ( 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))
% 191.91/191.89 => ( 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))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listset_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__Cons,axiom,
% 191.91/191.89 ! [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))))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel1E,axiom,
% 191.91/191.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => ~ ! [B_x,B_y] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => ! [B_us,B_vs] :
% 191.91/191.89 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 191.91/191.89 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__Nil2,axiom,
% 191.91/191.89 ! [V_r_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__Nil1,axiom,
% 191.91/191.89 ! [V_r_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__mono,axiom,
% 191.91/191.89 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__eq__len,axiom,
% 191.91/191.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel_ONil,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__Nil,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listset_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel_OCons,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrelp__listrel__eq,axiom,
% 191.91/191.89 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__Cons1,axiom,
% 191.91/191.89 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => ~ ! [B_y,B_ys] :
% 191.91/191.89 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 191.91/191.89 => ( 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))
% 191.91/191.89 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__Cons2,axiom,
% 191.91/191.89 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 => ~ ! [B_x,B_xs] :
% 191.91/191.89 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 191.91/191.89 => ( 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))
% 191.91/191.89 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrelp_ONil,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrelp_Oequations_I1_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrelp_OCons,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 191.91/191.89 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrelp_Oequations_I2_J,axiom,
% 191.91/191.89 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 191.91/191.89 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_anamorph_Osimps,axiom,
% 191.91/191.89 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 191.91/191.89 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel1__subset__listrel,axiom,
% 191.91/191.89 ! [V_r_H_2,V_r_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list_Osize_I2_J,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__on__Id__on,axiom,
% 191.91/191.89 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__on__empty,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__on__Un,axiom,
% 191.91/191.89 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 191.91/191.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.89 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__on__Int,axiom,
% 191.91/191.89 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 191.91/191.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.89 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list_Osize_I1_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__onD,axiom,
% 191.91/191.89 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 191.91/191.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__onD1,axiom,
% 191.91/191.89 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/191.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.89 => ( 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))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__onD2,axiom,
% 191.91/191.89 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/191.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.89 => ( 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))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__on__def,axiom,
% 191.91/191.89 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.89 <=> ( 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))))
% 191.91/191.89 & ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.89 => 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_reflp__def,axiom,
% 191.91/191.89 ! [V_r_2,T_b] :
% 191.91/191.89 ( c_Predicate_Oreflp(T_b,V_r_2)
% 191.91/191.89 <=> 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__onI,axiom,
% 191.91/191.89 ! [V_A_2,V_r_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => ( ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.89 => 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)) )
% 191.91/191.89 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__subset,axiom,
% 191.91/191.89 ! [V_A_2,V_r_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => 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))))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists_ONil,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists__mono,axiom,
% 191.91/191.89 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_reflpE,axiom,
% 191.91/191.89 ! [V_x_2,V_r_2,T_b] :
% 191.91/191.89 ( c_Predicate_Oreflp(T_b,V_r_2)
% 191.91/191.89 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists__UNIV,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__in__lists__conv,axiom,
% 191.91/191.89 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 191.91/191.89 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_equiv__listrel,axiom,
% 191.91/191.89 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.89 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__refl__on,axiom,
% 191.91/191.89 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Cons__in__lists__iff,axiom,
% 191.91/191.89 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.89 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists__empty,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists__accI,axiom,
% 191.91/191.89 ! [V_r_2,V_xs_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists__accD,axiom,
% 191.91/191.89 ! [V_r_2,V_xs_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__append__rightI,axiom,
% 191.91/191.89 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 191.91/191.89 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__Nil__left,axiom,
% 191.91/191.89 ! [V_r_2,V_y_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__iff__nth,axiom,
% 191.91/191.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ( 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)
% 191.91/191.89 & ! [B_n] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__Cons__0,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__Cons__Suc,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_infinite__UNIV__listI,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__eq__iff__nth__eq,axiom,
% 191.91/191.89 ! [T_b,V_ys_2,V_xs_2] :
% 191.91/191.89 ( V_xs_2 = V_ys_2
% 191.91/191.89 <=> ( 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)
% 191.91/191.89 & ! [B_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth_Osimps,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__append__length,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__append__length__plus,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__append,axiom,
% 191.91/191.89 ! [V_ys,V_xs,T_a,V_n] :
% 191.91/191.89 ( ( 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)))
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( ~ 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)))
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__Cons_H,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_a,V_n] :
% 191.91/191.89 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 191.91/191.89 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__Cons__number__of,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_a,V_v] :
% 191.91/191.89 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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 )
% 191.91/191.89 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__take__index__conv,axiom,
% 191.91/191.89 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ( ( 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)))
% 191.91/191.89 & 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 )
% 191.91/191.89 | ? [B_i] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 191.91/191.89 & 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__Suc__conv__app__nth,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__take,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_n,V_i] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__all,axiom,
% 191.91/191.89 ! [V_n,V_xs,T_a] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__eq__Nil,axiom,
% 191.91/191.89 ! [V_xs_2,V_na_2,T_b] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.91/191.89 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__0,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__Nil,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__take,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__Suc__Cons,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__take,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__Cons,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sublist__upt__eq__take,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__append,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__1__Cons,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__Cons_H,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_a,V_n] :
% 191.91/191.89 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__Cons__number__of,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_a,V_v] :
% 191.91/191.89 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_finite__lists__length__le,axiom,
% 191.91/191.89 ! [V_na_2,V_A_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.89 => 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))))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_id__take__nth__drop,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_finite__set,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__take__subset,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__set__takeD,axiom,
% 191.91/191.89 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__drop,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__1__Cons,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__ConsD,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => ( V_y_2 = V_x_2
% 191.91/191.89 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__Suc__Cons,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__Cons,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__drop,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__0,axiom,
% 191.91/191.89 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__append,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__drop,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__set__dropD,axiom,
% 191.91/191.89 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__Nil,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__empty2,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__empty,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__drop__subset__set__drop,axiom,
% 191.91/191.89 ! [V_xs_2,T_b,V_m_2,V_na_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2))
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__drop__subset,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__via__drop,axiom,
% 191.91/191.89 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 191.91/191.89 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__subset__Cons,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__take,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__take__drop__id,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__set__sublistD,axiom,
% 191.91/191.89 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_notin__set__sublistI,axiom,
% 191.91/191.89 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => ~ 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__sublist__subset,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_card__length,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_all__set__conv__all__nth,axiom,
% 191.91/191.89 ! [V_Pa_2,V_xs_2,T_b] :
% 191.91/191.89 ( ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.89 <=> ! [B_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__take__subset__set__take,axiom,
% 191.91/191.89 ! [V_xs_2,T_b,V_na_2,V_m_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__all,axiom,
% 191.91/191.89 ! [V_n,V_xs,T_a] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__eq__Nil,axiom,
% 191.91/191.89 ! [V_xs_2,V_na_2,T_b] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.91/191.89 <=> 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__append,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__eq__conv__conj,axiom,
% 191.91/191.89 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 191.91/191.89 <=> ( 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)
% 191.91/191.89 & 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__size__estimation,axiom,
% 191.91/191.89 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__size__estimation_H,axiom,
% 191.91/191.89 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__lists__conv__set,axiom,
% 191.91/191.89 ! [V_A_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 191.91/191.89 <=> ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__pos__if__in__set,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__set__conv__nth,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 <=> ? [B_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__mem,axiom,
% 191.91/191.89 ! [V_xs_2,T_b,V_na_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists__eq__set,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__Cons_H,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_a,V_n] :
% 191.91/191.89 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__drop,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_i,V_n] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__eq__append__conv__if,axiom,
% 191.91/191.89 ! [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] :
% 191.91/191.89 ( 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)
% 191.91/191.89 <=> ( ( 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)))
% 191.91/191.89 => ( 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)
% 191.91/191.89 & 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) ) )
% 191.91/191.89 & ( ~ 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)))
% 191.91/191.89 => ( 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
% 191.91/191.89 & 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 ) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__conv__nth,axiom,
% 191.91/191.89 ! [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))))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__drop_H,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__Cons__number__of,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_a,V_v] :
% 191.91/191.89 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__add,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_j,V_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_finite__lists__length__eq,axiom,
% 191.91/191.89 ! [V_na_2,V_A_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.89 => 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))))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__sublist,axiom,
% 191.91/191.89 ! [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))))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_select,axiom,
% 191.91/191.89 ! [V_s_2,T_b,V_xs_2] :
% 191.91/191.89 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__hd__drop,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_n] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_hd_Osimps,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_hd__append,axiom,
% 191.91/191.89 ! [V_ys,T_a,V_xs] :
% 191.91/191.89 ( ( V_xs = c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_hd__append2,axiom,
% 191.91/191.89 ! [V_ys,T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_hd__in__set,axiom,
% 191.91/191.89 ! [T_b,V_xs_2] :
% 191.91/191.89 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_hd__conv__nth,axiom,
% 191.91/191.89 ! [T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_hd__drop__conv__nth,axiom,
% 191.91/191.89 ! [V_n,T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_upd__conv__take__nth__drop,axiom,
% 191.91/191.89 ! [V_a,V_xs,T_a,V_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__zip,axiom,
% 191.91/191.89 ! [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)))))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_update__zip,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__code_I2_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__code_I3_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__zip,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__append,axiom,
% 191.91/191.89 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => ( 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)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__overwrite,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__swap,axiom,
% 191.91/191.89 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 191.91/191.89 ( V_i != V_i_H
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__list__update,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__Nil,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__nonempty,axiom,
% 191.91/191.89 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__code_I1_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__update,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__zip,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__list__update__neq,axiom,
% 191.91/191.89 ! [V_x,V_xs,T_a,V_j,V_i] :
% 191.91/191.89 ( V_i != V_j
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__id,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__zip,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__beyond,axiom,
% 191.91/191.89 ! [V_x,V_i,V_xs,T_a] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__update__subsetI,axiom,
% 191.91/191.89 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__update__subset__insert,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__Cons__Cons,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__append1,axiom,
% 191.91/191.89 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__length,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__list__update__eq,axiom,
% 191.91/191.89 ! [V_x,V_xs,T_a,V_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__same__conv,axiom,
% 191.91/191.89 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 191.91/191.89 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__list__update,axiom,
% 191.91/191.89 ! [V_x,V_j,V_xs,T_a,V_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( ( V_i = V_j
% 191.91/191.89 => 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 )
% 191.91/191.89 & ( V_i != V_j
% 191.91/191.89 => 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) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__same,axiom,
% 191.91/191.89 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 & V_a_2 = V_b_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__zip__leftD,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__zip__rightD,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__set__zipE,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__zip,axiom,
% 191.91/191.89 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__append1,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__append2,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__update__memI,axiom,
% 191.91/191.89 ! [V_x_2,V_xs_2,T_b,V_na_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__update__append,axiom,
% 191.91/191.89 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 191.91/191.89 ( ( 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)))
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( ~ 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)))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel1__iff__update,axiom,
% 191.91/191.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ? [B_y,B_n] :
% 191.91/191.89 ( 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))
% 191.91/191.89 & 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)))
% 191.91/191.89 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listrel__iff__zip,axiom,
% 191.91/191.89 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 <=> ( 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)
% 191.91/191.89 & ! [B_x] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Powp__def,axiom,
% 191.91/191.89 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 191.91/191.89 <=> ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 191.91/191.89 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_INFI__bool__eq,axiom,
% 191.91/191.89 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_ball__empty,axiom,
% 191.91/191.89 ! [V_Pa_2,T_b,B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/191.89 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Collect__ball__eq,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_congruent__def,axiom,
% 191.91/191.89 ! [V_f_2,V_r_2,T_c,T_b] :
% 191.91/191.89 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 191.91/191.89 <=> ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_INTER__def,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Inf__Sup,axiom,
% 191.91/191.89 ! [V_A_2,T_b] :
% 191.91/191.89 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.89 => 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))))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Sup__Inf,axiom,
% 191.91/191.89 ! [V_A_2,T_b] :
% 191.91/191.89 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.89 => 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)))))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__eq__iff__zip__eq,axiom,
% 191.91/191.89 ! [T_b,V_ys_2,V_xs_2] :
% 191.91/191.89 ( V_xs_2 = V_ys_2
% 191.91/191.89 <=> ( 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)
% 191.91/191.89 & ! [B_x] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_refl__on__def_H,axiom,
% 191.91/191.89 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.89 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.89 <=> ( ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 191.91/191.89 => 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)) )
% 191.91/191.89 & ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.89 => 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__Cons1,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__Cons,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Inter__eq,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list_Osimps_I5_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list_Osimps_I4_J,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate1__def,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__list__update,axiom,
% 191.91/191.89 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 => ( ~ 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))))))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__zipI1,axiom,
% 191.91/191.89 ! [V_ys,T_b,V_xs,T_a] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__zipI2,axiom,
% 191.91/191.89 ! [V_xs,T_b,V_ys,T_a] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__rotate1,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__sublistI,axiom,
% 191.91/191.89 ! [V_I_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct1__rotate,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 191.91/191.89 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__take,axiom,
% 191.91/191.89 ! [V_i,V_xs,T_a] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__rotate1,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct_Osimps_I1_J,axiom,
% 191.91/191.89 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate1__is__Nil__conv,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__drop,axiom,
% 191.91/191.89 ! [V_i,V_xs,T_a] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct_Osimps_I2_J,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 191.91/191.89 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__card,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_card__distinct,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__eq__iff__index__eq,axiom,
% 191.91/191.89 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => ( 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)
% 191.91/191.89 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__conv__nth,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 <=> ! [B_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ! [B_j] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( B_i != B_j
% 191.91/191.89 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__append,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 191.91/191.89 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 191.91/191.89 & 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__simps,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_b,T_a] :
% 191.91/191.89 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 191.91/191.89 & 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate1__length01,axiom,
% 191.91/191.89 ! [V_xs,T_a] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate1__hd__tl,axiom,
% 191.91/191.89 ! [T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_hd__rotate__conv__nth,axiom,
% 191.91/191.89 ! [V_n,T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__tl,axiom,
% 191.91/191.89 ! [V_xs,T_a] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate1__rotate__swap,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__rotate,axiom,
% 191.91/191.89 ! [V_xs_2,V_na_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)))
% 191.91/191.89 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_tl__drop,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__tl,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__is__Nil__conv,axiom,
% 191.91/191.89 ! [V_xs_2,V_na_2,T_b] :
% 191.91/191.89 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_tl_Osimps_I1_J,axiom,
% 191.91/191.89 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__rotate,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_tl_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate0,axiom,
% 191.91/191.89 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__rotate,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__add,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__rotate,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_tl__append2,axiom,
% 191.91/191.89 ! [V_ys,T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__tl,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__conv__mod,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__Suc,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__Suc,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_tl__append,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__id,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_n] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__length01,axiom,
% 191.91/191.89 ! [V_n,V_xs,T_a] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__tl,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_tl__take,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__Suc,axiom,
% 191.91/191.89 ! [V_n,T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__drop__take,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_fold1__set,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.91/191.89 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_greaterThanLessThan__upto,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__upto,axiom,
% 191.91/191.89 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sum__eq__0__conv,axiom,
% 191.91/191.89 ! [V_ns_2,V_m_2] :
% 191.91/191.89 ( 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)
% 191.91/191.89 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 & ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 191.91/191.89 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__upto,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_atLeastAtMost__upto,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_foldl__assoc,axiom,
% 191.91/191.89 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Groups_Osemigroup__add(T_b)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_foldl__absorb0,axiom,
% 191.91/191.89 ! [V_zs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Groups_Omonoid__add(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_start__le__sum,axiom,
% 191.91/191.89 ! [V_ns_2,V_na_2,V_m_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_foldl__Cons,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_foldl__append,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_upto__empty,axiom,
% 191.91/191.89 ! [V_i,V_j] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 191.91/191.89 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_foldl__Nil,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 191.91/191.89 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Sup__set__fold,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_upto_Osimps,axiom,
% 191.91/191.89 ! [V_j,V_i] :
% 191.91/191.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 191.91/191.89 => 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)) )
% 191.91/191.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 191.91/191.89 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_elem__le__sum,axiom,
% 191.91/191.89 ! [V_ns_2,V_na_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Inf__set__fold,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Sup__fin__set__fold,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Lattices_Olattice(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Inf__fin__set__fold,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Lattices_Olattice(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Min__fin__set__fold,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Max__fin__set__fold,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_SUPR__set__fold,axiom,
% 191.91/191.89 ! [V_f_2,V_xs_2,T_c,T_b] :
% 191.91/191.89 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_INFI__set__fold,axiom,
% 191.91/191.89 ! [V_f_2,V_xs_2,T_c,T_b] :
% 191.91/191.89 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_atLeastLessThan__upto,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_greaterThanAtMost__upto,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_upto__rec__number__of,axiom,
% 191.91/191.89 ! [V_n,V_m] :
% 191.91/191.89 ( ( 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)))
% 191.91/191.89 => 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))) )
% 191.91/191.89 & ( ~ 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)))
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_upto_Opsimps,axiom,
% 191.91/191.89 ! [V_j_2,V_i_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 191.91/191.89 => 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)) )
% 191.91/191.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 191.91/191.89 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nat__list__def,axiom,
% 191.91/191.89 ! [V_l_2] :
% 191.91/191.89 ( c_List_Onat__list(V_l_2)
% 191.91/191.89 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_upto_Opinduct,axiom,
% 191.91/191.89 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( ! [B_i,B_j] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 191.91/191.89 => 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)) )
% 191.91/191.89 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 191.91/191.89 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__list__update,axiom,
% 191.91/191.89 ! [V_x,V_k,T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => ( ( 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))
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 191.91/191.89 & ( 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))
% 191.91/191.89 => 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) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last_Osimps,axiom,
% 191.91/191.89 ! [V_x,T_a,V_xs] :
% 191.91/191.89 ( ( V_xs = c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 191.91/191.89 & ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__ConsR,axiom,
% 191.91/191.89 ! [V_x,T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__ConsL,axiom,
% 191.91/191.89 ! [V_x,T_a,V_xs] :
% 191.91/191.89 ( V_xs = c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__append,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_ys] :
% 191.91/191.89 ( ( V_ys = c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 191.91/191.89 & ( V_ys != c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__appendR,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_ys] :
% 191.91/191.89 ( V_ys != c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__appendL,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_ys] :
% 191.91/191.89 ( V_ys = c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__in__set,axiom,
% 191.91/191.89 ! [T_b,V_as_2] :
% 191.91/191.89 ( V_as_2 != c_List_Olist_ONil(T_b)
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__snoc,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__drop,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_n] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__conv__nth,axiom,
% 191.91/191.89 ! [T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__irreflexive,axiom,
% 191.91/191.89 ! [V_y_2,V_r_2,T_b] :
% 191.91/191.89 ( ! [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))
% 191.91/191.89 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lexord__linear,axiom,
% 191.91/191.89 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 191.91/191.89 ( ! [B_a,B_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 | B_a = B_b
% 191.91/191.89 | 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)) )
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.89 | V_x_2 = V_y_2
% 191.91/191.89 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists_Osimps,axiom,
% 191.91/191.89 ! [V_A_2,V_a_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 191.91/191.89 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 191.91/191.89 | ? [B_a,B_l] :
% 191.91/191.89 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 191.91/191.89 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.91/191.89 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__setsum__nth,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__simps_I2_J,axiom,
% 191.91/191.89 ! [V_xs,V_x,T_a] :
% 191.91/191.89 ( class_Groups_Omonoid__add(T_a)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__simps_I1_J,axiom,
% 191.91/191.89 ! [T_a] :
% 191.91/191.89 ( class_Groups_Omonoid__add(T_a)
% 191.91/191.89 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_elem__le__listsum__nat,axiom,
% 191.91/191.89 ! [V_ns,V_k] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__append,axiom,
% 191.91/191.89 ! [V_ys,V_xs,T_a] :
% 191.91/191.89 ( class_Groups_Omonoid__add(T_a)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 191.91/191.89 ! [V_ns_2] :
% 191.91/191.89 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 <=> ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 191.91/191.89 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__update__nat,axiom,
% 191.91/191.89 ! [V_n,V_ns,V_k] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__foldl,axiom,
% 191.91/191.89 ! [T_b] :
% 191.91/191.89 ( class_Groups_Omonoid__add(T_b)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.89 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__size__pointwise,axiom,
% 191.91/191.89 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 191.91/191.89 ( ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_butlast__take,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_n] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_butlast__drop,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__butlast,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_butlast_Osimps_I1_J,axiom,
% 191.91/191.89 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__set__butlastD,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_butlast_Osimps_I2_J,axiom,
% 191.91/191.89 ! [V_x,T_a,V_xs] :
% 191.91/191.89 ( ( V_xs = c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 191.91/191.89 & ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_butlast__append,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_ys] :
% 191.91/191.89 ( ( V_ys = c_List_Olist_ONil(T_a)
% 191.91/191.89 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 191.91/191.89 & ( V_ys != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__butlast,axiom,
% 191.91/191.89 ! [T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__set__butlast__appendI,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 191.91/191.89 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 191.91/191.89 => 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))))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_butlast__snoc,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__butlast,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_n] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__butlast,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_butlast__conv__take,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_butlast__list__update,axiom,
% 191.91/191.89 ! [V_x,V_xs,T_a,V_k] :
% 191.91/191.89 ( ( 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))
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( 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))
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__butlast__last__id,axiom,
% 191.91/191.89 ! [T_a,V_xs] :
% 191.91/191.89 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.89 => 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 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_snoc__eq__iff__butlast,axiom,
% 191.91/191.89 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 191.91/191.89 ( 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
% 191.91/191.89 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 191.91/191.89 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 191.91/191.89 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_select__weigth__select,axiom,
% 191.91/191.89 ! [T_b,V_xs_2] :
% 191.91/191.89 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__take__lemma,axiom,
% 191.91/191.89 ! [V_ys,V_xs,T_a,V_k] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => ( ! [B_i] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 191.91/191.89 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 191.91/191.89 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_inj__mapI,axiom,
% 191.91/191.89 ! [V_f_2,T_c,T_b] :
% 191.91/191.89 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__subtractf,axiom,
% 191.91/191.89 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( class_Groups_Oab__group__add(T_b)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__0,axiom,
% 191.91/191.89 ! [V_xs_2,T_c,T_b] :
% 191.91/191.89 ( class_Groups_Omonoid__add(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__const__mult,axiom,
% 191.91/191.89 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 191.91/191.89 ( class_Rings_Osemiring__0(T_b)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__mult__const,axiom,
% 191.91/191.89 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( class_Rings_Osemiring__0(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__addf,axiom,
% 191.91/191.89 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__update,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__map,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__eq__imp__length__eq,axiom,
% 191.91/191.89 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__butlast,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__eq__conv,axiom,
% 191.91/191.89 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( 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)
% 191.91/191.89 <=> ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 191.91/191.89 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__map,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_foldl__map,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__is__Nil__conv,axiom,
% 191.91/191.89 ! [V_xs_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Nil__is__map__conv,axiom,
% 191.91/191.89 ! [V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_hd__map,axiom,
% 191.91/191.89 ! [V_f_2,T_c,T_b,V_xs_2] :
% 191.91/191.89 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__tl,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_rotate__map,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__map__map,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__map1,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__zip__map,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__zip__map2,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__map2,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__same__conv__map,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_inj__map__eq__map,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.89 => ( 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)
% 191.91/191.89 <=> V_xs_2 = V_ys_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__injective,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 191.91/191.89 => V_xs_2 = V_ys_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__ident,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_take__map,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__append,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_drop__map,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_List_Omap_Oidentity,axiom,
% 191.91/191.89 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__map,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_List_Omap_Ocompositionality,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_last__map,axiom,
% 191.91/191.89 ! [V_f_2,T_c,T_b,V_xs_2] :
% 191.91/191.89 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_List_Omap_Ocomp,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__comp__map,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_List_Omap_Oid,axiom,
% 191.91/191.89 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_inj__on__map__eq__map,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( 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)
% 191.91/191.89 <=> V_xs_2 = V_ys_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__inj__on,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => V_xs_2 = V_ys_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nth__map,axiom,
% 191.91/191.89 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__fun__upd,axiom,
% 191.91/191.89 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 191.91/191.89 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__map,axiom,
% 191.91/191.89 ! [V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 191.91/191.89 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 191.91/191.89 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__abs,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_uminus__listsum__map,axiom,
% 191.91/191.89 ! [V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( class_Groups_Oab__group__add(T_b)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_inj__on__mapI,axiom,
% 191.91/191.89 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_inj__mapD,axiom,
% 191.91/191.89 ! [V_f_2,T_c,T_b] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_inj__map,axiom,
% 191.91/191.89 ! [V_f_2,T_c,T_b] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__size__map,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 191.91/191.89 ! [V_f_2,V_xs_2,T_b,T_c] :
% 191.91/191.89 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.89 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__triv,axiom,
% 191.91/191.89 ! [V_xs_2,V_r_2,T_c,T_b] :
% 191.91/191.89 ( class_Rings_Osemiring__1(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_pick__same,axiom,
% 191.91/191.89 ! [V_xs_2,T_b,V_l_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 191.91/191.89 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/191.89 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.89 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.89 => 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))))) )
% 191.91/191.89 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.89 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_exE__some,axiom,
% 191.91/191.89 ! [T_b,V_c_2,V_Pa_2] :
% 191.91/191.89 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/191.89 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 191.91/191.89 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_some__sym__eq__trivial,axiom,
% 191.91/191.89 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_some__eq__trivial,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_some__eq__ex,axiom,
% 191.91/191.89 ! [T_b,V_Pa_2] :
% 191.91/191.89 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 191.91/191.89 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_someI__ex,axiom,
% 191.91/191.89 ! [T_b,V_Pa_2] :
% 191.91/191.89 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/191.89 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_times__code__numeral__code,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_tfl__some,axiom,
% 191.91/191.89 ! [T_b,B_P] :
% 191.91/191.89 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 191.91/191.89 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_someI,axiom,
% 191.91/191.89 ! [T_b,V_x_2,V_Pa_2] :
% 191.91/191.89 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.89 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 191.91/191.89 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 191.91/191.89 ! [V_m_2,V_na_2] :
% 191.91/191.89 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 191.91/191.89 <=> V_na_2 = V_m_2 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zero__code__numeral__def,axiom,
% 191.91/191.89 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_one__code__numeral__def,axiom,
% 191.91/191.89 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_less__code__numeral__code,axiom,
% 191.91/191.89 ! [V_m_2,V_na_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 191.91/191.89 ! [V_y_2,V_x_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.91/191.89 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 191.91/191.89 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__fst__zip,axiom,
% 191.91/191.89 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => 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 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_map__snd__zip,axiom,
% 191.91/191.89 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => 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 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_number__of__code__numeral__def,axiom,
% 191.91/191.89 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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__map__fst__snd,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_plus__code__numeral__code,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_less__eq__code__numeral__code,axiom,
% 191.91/191.89 ! [V_m_2,V_na_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_subtract__code__numeral__code,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_pick__member,axiom,
% 191.91/191.89 ! [V_xs_2,T_b,V_i_2] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_zip__eq__conv,axiom,
% 191.91/191.89 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 191.91/191.89 <=> ( 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
% 191.91/191.89 & 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 ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__size__conv__listsum,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_code__numeral__not__eq__zero,axiom,
% 191.91/191.89 ! [V_i_2] :
% 191.91/191.89 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.91/191.89 <=> 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 191.91/191.89 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 191.91/191.89 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 191.91/191.89 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 191.91/191.89 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_select__weight__member,axiom,
% 191.91/191.89 ! [V_s_2,V_xs_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Nitpick_Ocard_H__def,axiom,
% 191.91/191.89 ! [V_A_2,T_b] :
% 191.91/191.89 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.89 => 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)))) )
% 191.91/191.89 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.89 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_select__weight__def,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Pair__scomp,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_scomp__Pair,axiom,
% 191.91/191.89 ! [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 ).
% 191.91/191.89
% 191.91/191.89 fof(fact_scomp__apply,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_scomp__scomp,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_scomp__def,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Eps__split__eq,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_split__paired__Eps,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_scomp__unfold,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Eps__split,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_iterate_Osimps,axiom,
% 191.91/191.89 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 191.91/191.89 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_select__def,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 191.91/191.89 ! [V_l_2,V_k_2] :
% 191.91/191.89 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 191.91/191.89 <=> V_k_2 = V_l_2 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_code__numeral_Onat__of__inject,axiom,
% 191.91/191.89 ! [V_y_2,V_x_2] :
% 191.91/191.89 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 191.91/191.89 <=> V_x_2 = V_y_2 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nat__of__inverse,axiom,
% 191.91/191.89 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 191.91/191.89
% 191.91/191.89 fof(fact_of__nat__nat__of,axiom,
% 191.91/191.89 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nat__of__of__nat,axiom,
% 191.91/191.89 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 191.91/191.89
% 191.91/191.89 fof(fact_type__definition__code__numeral,axiom,
% 191.91/191.89 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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_less__code__numeral__def,axiom,
% 191.91/191.89 ! [V_m_2,V_na_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 191.91/191.89 <=> 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nat__of,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nat__of__number,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_int__of__def,axiom,
% 191.91/191.89 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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_less__eq__code__numeral__def,axiom,
% 191.91/191.89 ! [V_m_2,V_na_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 191.91/191.89 <=> 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nat__of__code,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_nat__of__aux__def,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_Suc__code__numeral__def,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_minus__code__numeral__def,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_of__nat__inverse,axiom,
% 191.91/191.89 ! [V_y_2] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.91/191.89 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_plus__code__numeral__def,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_div__code__numeral__def,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_times__code__numeral__def,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_mod__code__numeral__def,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_code__numeral__decr,axiom,
% 191.91/191.89 ! [V_k] :
% 191.91/191.89 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__mono,axiom,
% 191.91/191.89 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 191.91/191.89 ( ( class_Groups_Omonoid__add(T_c)
% 191.91/191.89 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 191.91/191.89 => ( ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 191.91/191.89 => 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)))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsum__map__remove1,axiom,
% 191.91/191.89 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 191.91/191.89 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => 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)))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__remove1__eq,axiom,
% 191.91/191.89 ! [V_x_2,V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_remove1__commute,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__remove1,axiom,
% 191.91/191.89 ! [V_x,V_xs,T_a] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_remove1_Osimps_I2_J,axiom,
% 191.91/191.89 ! [V_xs,T_a,V_y,V_x] :
% 191.91/191.89 ( ( V_x = V_y
% 191.91/191.89 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 191.91/191.89 & ( V_x != V_y
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_remove1_Osimps_I1_J,axiom,
% 191.91/191.89 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_remove1__idem,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_notin__set__remove1,axiom,
% 191.91/191.89 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => ~ 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__set__remove1,axiom,
% 191.91/191.89 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 191.91/191.89 ( V_a_2 != V_b_2
% 191.91/191.89 => ( 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))))
% 191.91/191.89 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__remove1__subset,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_remove1__append,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => 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) )
% 191.91/191.89 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__remove1,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => 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)) )
% 191.91/191.89 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sorted__list__of__set__remove,axiom,
% 191.91/191.89 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_partition__set,axiom,
% 191.91/191.89 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sorted__list__of__set__empty,axiom,
% 191.91/191.89 ! [T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_partition__P,axiom,
% 191.91/191.89 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => ( ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 191.91/191.89 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.89 & ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 191.91/191.89 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_partition_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_partition_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sorted__list__of__set__insert,axiom,
% 191.91/191.89 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.89 => 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)))))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists__IntI,axiom,
% 191.91/191.89 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsp_ONil,axiom,
% 191.91/191.89 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__insort,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_c)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__insort,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_c)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_append__in__listsp__conv,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 191.91/191.89 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 191.91/191.89 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsp__inf__eq,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsp__infI,axiom,
% 191.91/191.89 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 191.91/191.89 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsp__conj__eq,axiom,
% 191.91/191.89 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 191.91/191.89 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_insort__left__comm,axiom,
% 191.91/191.89 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_fun__left__comm__insort,axiom,
% 191.91/191.89 ! [T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_insort__key__left__comm,axiom,
% 191.91/191.89 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsp_Oequations_I2_J,axiom,
% 191.91/191.89 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 191.91/191.89 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 191.91/191.89 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_insort__not__Nil,axiom,
% 191.91/191.89 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_c)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsp_Oequations_I1_J,axiom,
% 191.91/191.89 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_in__listsp__conv__set,axiom,
% 191.91/191.89 ! [V_xs_2,V_A_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 191.91/191.89 <=> ! [B_x] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_insort__key_Osimps_I2_J,axiom,
% 191.91/191.89 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => ( ( 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)))
% 191.91/191.89 => 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)) )
% 191.91/191.89 & ( ~ 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)))
% 191.91/191.89 => 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_insort__key_Osimps_I1_J,axiom,
% 191.91/191.89 ! [V_x_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_c)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_remove1__insort,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => 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 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__insort,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_c)
% 191.91/191.89 => ( 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)))
% 191.91/191.89 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsp__mono,axiom,
% 191.91/191.89 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.89 => 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))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_listsp__lists__eq,axiom,
% 191.91/191.89 ! [V_x_2,V_A_2,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_lists__Int__eq,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_insort__insert__insort__key,axiom,
% 191.91/191.89 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => ( ~ 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))))
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_insort__insert__insort,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => 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) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__insort__insert,axiom,
% 191.91/191.89 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_c)
% 191.91/191.89 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_insort__insert__triv,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.89 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__insort__insert,axiom,
% 191.91/191.89 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_insort__insert__key__triv,axiom,
% 191.91/191.89 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 191.91/191.89 ( class_Orderings_Olinorder(T_b)
% 191.91/191.89 => ( 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))))
% 191.91/191.89 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_product_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__def,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.91/191.89 <=> ( 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)
% 191.91/191.89 & ! [B_x] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__map1,axiom,
% 191.91/191.89 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 <=> 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__map2,axiom,
% 191.91/191.89 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 <=> 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__dropI,axiom,
% 191.91/191.89 ! [V_na_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__appendI,axiom,
% 191.91/191.89 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 191.91/191.89 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 191.91/191.89 => 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)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__takeI,axiom,
% 191.91/191.89 ! [V_na_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.91/191.89 => 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)) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__eq,axiom,
% 191.91/191.89 ! [T_b,V_ys_2,V_xs_2] :
% 191.91/191.89 ( V_xs_2 = V_ys_2
% 191.91/191.89 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__Cons,axiom,
% 191.91/191.89 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( 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))
% 191.91/191.89 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.91/191.89 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__Nil,axiom,
% 191.91/191.89 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 191.91/191.89 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__Nil2,axiom,
% 191.91/191.89 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 191.91/191.89 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__lengthD,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.91/191.89 => 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) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__append,axiom,
% 191.91/191.89 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 191.91/191.89 ( 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)
% 191.91/191.89 => ( 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))
% 191.91/191.89 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.91/191.89 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_product_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__conv__all__nth,axiom,
% 191.91/191.89 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.91/191.89 <=> ( 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)
% 191.91/191.89 & ! [B_i] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => 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))) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__nthD,axiom,
% 191.91/191.89 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__nthD2,axiom,
% 191.91/191.89 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => 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))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__update__cong,axiom,
% 191.91/191.89 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 191.91/191.89 ( 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)))
% 191.91/191.89 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.91/191.89 => 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2__update__cong2,axiom,
% 191.91/191.89 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.89 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.91/191.89 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.91/191.89 => ( 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)))
% 191.91/191.89 => 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)) ) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__product,axiom,
% 191.91/191.89 ! [V_ys,T_b,V_xs,T_a] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.89 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_product__list__set,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sublists__powset,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__sublists,axiom,
% 191.91/191.89 ! [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)) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sublists_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_sublists_Osimps_I2_J,axiom,
% 191.91/191.89 ! [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))))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__set__sublists,axiom,
% 191.91/191.89 ! [V_xs_2,T_b] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.89 => 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)))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_set__n__lists,axiom,
% 191.91/191.89 ! [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)))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_enum__the__def,axiom,
% 191.91/191.89 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_distinct__n__lists,axiom,
% 191.91/191.89 ! [V_n,V_xs,T_a] :
% 191.91/191.89 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.89 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_n__lists__Nil,axiom,
% 191.91/191.89 ! [T_a,V_n] :
% 191.91/191.89 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => 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))) )
% 191.91/191.89 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.89 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_n__lists_Osimps_I1_J,axiom,
% 191.91/191.89 ! [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))) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__n__lists,axiom,
% 191.91/191.89 ! [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) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_length__n__lists__elem,axiom,
% 191.91/191.89 ! [V_xs_2,V_na_2,V_ys_2,T_b] :
% 191.91/191.89 ( 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))))
% 191.91/191.89 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ).
% 191.91/191.89
% 191.91/191.89 fof(fact_list__all2I,axiom,
% 191.91/191.89 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.89 ( ! [B_x] :
% 191.91/191.89 ( 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))))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 191.91/191.90 => ( 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)
% 191.91/191.90 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__Un,axiom,
% 191.91/191.90 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.90 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 191.91/191.90 => ( 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))
% 191.91/191.90 => 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)) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_DomainI,axiom,
% 191.91/191.90 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__empty,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__empty__iff,axiom,
% 191.91/191.90 ! [V_r_2,T_c,T_b] :
% 191.91/191.90 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.90 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__Id__on,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__mono,axiom,
% 191.91/191.90 ! [V_s_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__Un__eq,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_finite__Domain,axiom,
% 191.91/191.90 ! [V_r_2,T_c,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 191.91/191.90 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_fst__eq__Domain,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__iff,axiom,
% 191.91/191.90 ! [V_r_2,T_c,V_a_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 191.91/191.90 <=> ? [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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__insert,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__Int__subset,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__Diff__subset,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Field__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__Union,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__Collect__split,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_DomainP__Domain__eq,axiom,
% 191.91/191.90 ! [V_x_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_DomainE,axiom,
% 191.91/191.90 ! [V_r_2,T_c,V_a_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 191.91/191.90 => ~ ! [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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_DomainP_Ointros,axiom,
% 191.91/191.90 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.91/191.90 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_DomainP_Oequations,axiom,
% 191.91/191.90 ! [V_a1_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 191.91/191.90 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__same__fst,axiom,
% 191.91/191.90 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.90 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 191.91/191.90 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_all__nth__imp__all__set,axiom,
% 191.91/191.90 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 191.91/191.90 ( ! [B_i] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 191.91/191.90 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_map__removeAll__inj__on,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__remdups,axiom,
% 191.91/191.90 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__remdups__leq,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__remdups__id,axiom,
% 191.91/191.90 ! [V_xs,T_a] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.90 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__removeAll,axiom,
% 191.91/191.90 ! [V_x,V_xs,T_a] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.90 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remdups__id__iff__distinct,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 191.91/191.90 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__remdups__eq,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( 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)
% 191.91/191.90 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__remdups,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remdups__remdups,axiom,
% 191.91/191.90 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remdups__eq__nil__iff,axiom,
% 191.91/191.90 ! [V_x_2,T_b] :
% 191.91/191.90 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 191.91/191.90 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_removeAll_Osimps_I1_J,axiom,
% 191.91/191.90 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remdups__eq__nil__right__iff,axiom,
% 191.91/191.90 ! [V_x_2,T_b] :
% 191.91/191.90 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 191.91/191.90 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remdups_Osimps_I1_J,axiom,
% 191.91/191.90 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_removeAll_Osimps_I2_J,axiom,
% 191.91/191.90 ! [V_xs,T_a,V_y,V_x] :
% 191.91/191.90 ( ( V_x = V_y
% 191.91/191.90 => 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) )
% 191.91/191.90 & ( V_x != V_y
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_removeAll__append,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remdups__map__remdups,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remove1__remdups,axiom,
% 191.91/191.90 ! [V_x,V_xs,T_a] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_removeAll__id,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__remove1__removeAll,axiom,
% 191.91/191.90 ! [V_x,V_xs,T_a] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.90 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remdups_Osimps_I2_J,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => 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) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__remdups__card__conv,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_map__removeAll__inj,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__removeAll,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__remdups__concat,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sort__key__simps_I1_J,axiom,
% 191.91/191.90 ! [V_f_2,T_b,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldl__conv__concat,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__sort,axiom,
% 191.91/191.90 ! [V_xs_2,V_f_2,T_b,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__sort,axiom,
% 191.91/191.90 ! [V_xs_2,V_f_2,T_b,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__sort,axiom,
% 191.91/191.90 ! [V_xs_2,V_f_2,T_b,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 191.91/191.90 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat__conv__foldl,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat_Osimps_I1_J,axiom,
% 191.91/191.90 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat_Osimps_I2_J,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nil__eq__concat__conv,axiom,
% 191.91/191.90 ! [V_xss_2,T_b] :
% 191.91/191.90 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 191.91/191.90 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat__eq__Nil__conv,axiom,
% 191.91/191.90 ! [V_xss_2,T_b] :
% 191.91/191.90 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 191.91/191.90 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_map__concat,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__concat,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__concat,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sort__key__simps_I2_J,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat__append,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sort__foldl__insort,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat__injective,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 191.91/191.90 => ( 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)
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => 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)) )
% 191.91/191.90 => V_xs_2 = V_ys_2 ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat__eq__concat__iff,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => 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)) )
% 191.91/191.90 => ( 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)
% 191.91/191.90 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 191.91/191.90 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat__map__singleton,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_n__lists_Osimps_I2_J,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose_Osimps_I3_J,axiom,
% 191.91/191.90 ! [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))))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__aux__filter__head,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__concat,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__sort,axiom,
% 191.91/191.90 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__filter,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.90 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__filter__le,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__is__subset,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__id__conv,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sum__length__filter__compl,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_partition__filter__conv,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_partition__filter1,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_partition__filter2,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__filter,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remove1__filter__not,axiom,
% 191.91/191.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.91/191.90 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__remove1,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__insort__triv,axiom,
% 191.91/191.90 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter_Osimps_I1_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose_Osimps_I1_J,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter_Osimps_I2_J,axiom,
% 191.91/191.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.91/191.90 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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)) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__append,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__map,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__filter__map,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__empty__conv,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_removeAll__filter__not,axiom,
% 191.91/191.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.91/191.90 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_remdups__filter,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_removeAll__filter__not__eq,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose_Osimps_I2_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_nth__transpose,axiom,
% 191.91/191.90 ! [V_xs_2,T_b,V_i_2] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__map__map,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__filter,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__filter__less,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__minus__filter__out,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__in__sublist,axiom,
% 191.91/191.90 ! [V_s_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__empty,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 191.91/191.90 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__filter__conv__card,axiom,
% 191.91/191.90 ! [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))))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__aux__filter__tail,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose_Opsimps_I3_J,axiom,
% 191.91/191.90 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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))))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose_Opsimps_I2_J,axiom,
% 191.91/191.90 ! [V_xss_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sublist__shift__lemma__Suc,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_select__weigth__drop__zero,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pick__drop__zero,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose_Opsimps_I1_J,axiom,
% 191.91/191.90 ! [T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__max__length,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__aux__max,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldr_Osimps_I1_J,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldr_Osimps_I2_J,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldr__append,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldr__conv__foldl,axiom,
% 191.91/191.90 ! [V_a_2,V_xs_2,T_b] :
% 191.91/191.90 ( class_Groups_Oab__semigroup__add(T_b)
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldr__map,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldl__foldr1__lemma,axiom,
% 191.91/191.90 ! [V_xs_2,V_a_2,T_b] :
% 191.91/191.90 ( class_Groups_Omonoid__add(T_b)
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldl__foldr1,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( class_Groups_Omonoid__add(T_b)
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__transpose,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sublist__def,axiom,
% 191.91/191.90 ! [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))))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sublist__shift__lemma,axiom,
% 191.91/191.90 ! [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))))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__add__eq__append,axiom,
% 191.91/191.90 ! [V_k,V_j,V_i] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__conv__Cons,axiom,
% 191.91/191.90 ! [V_j,V_i] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__rec,axiom,
% 191.91/191.90 ! [V_j,V_i] :
% 191.91/191.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => 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)) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__eq__Nil__conv,axiom,
% 191.91/191.90 ! [V_j_2,V_i_2] :
% 191.91/191.90 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 191.91/191.90 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__Suc__append,axiom,
% 191.91/191.90 ! [V_j,V_i] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__Suc,axiom,
% 191.91/191.90 ! [V_j,V_i] :
% 191.91/191.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => 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))) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__0,axiom,
% 191.91/191.90 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__conv__Nil,axiom,
% 191.91/191.90 ! [V_i,V_j] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 191.91/191.90 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_hd__upt,axiom,
% 191.91/191.90 ! [V_j,V_i] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_take__upt,axiom,
% 191.91/191.90 ! [V_n,V_m,V_i] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_drop__upt,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__list__of__set__range,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__upt,axiom,
% 191.91/191.90 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_atLeastLessThan__upt,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__upt,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__upt,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__rec__number__of,axiom,
% 191.91/191.90 ! [V_n,V_m] :
% 191.91/191.90 ( ( 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)))
% 191.91/191.90 => 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))) )
% 191.91/191.90 & ( ~ 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)))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_upt__eq__Cons__conv,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 191.91/191.90 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 191.91/191.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 191.91/191.90 & V_i_2 = V_x_2
% 191.91/191.90 & 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 ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_last__upt,axiom,
% 191.91/191.90 ! [V_j,V_i] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_map__Suc__upt,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_atLeastAtMost__upt,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_atLeast__upt,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_nth__upt,axiom,
% 191.91/191.90 ! [V_j,V_k,V_i] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_greaterThanAtMost__upt,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_greaterThanLessThan__upt,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_atMost__upto,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_map__nth,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 191.91/191.90 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 191.91/191.90 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 191.91/191.90 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 191.91/191.90 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_nth__map__upt,axiom,
% 191.91/191.90 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__rectangle,axiom,
% 191.91/191.90 ! [V_na_2,T_b,V_xs_2] :
% 191.91/191.90 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 191.91/191.90 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/191.90 => ( ! [B_i] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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 )
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_insort__key__remove1,axiom,
% 191.91/191.90 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 191.91/191.90 => ( 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
% 191.91/191.90 => 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 ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted_ONil,axiom,
% 191.91/191.90 ! [T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__single,axiom,
% 191.91/191.90 ! [V_x,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__upt,axiom,
% 191.91/191.90 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__insort__insert__key,axiom,
% 191.91/191.90 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__sort,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__insort__insert,axiom,
% 191.91/191.90 ! [V_x_2,V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__upto,axiom,
% 191.91/191.90 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__drop,axiom,
% 191.91/191.90 ! [V_n,V_xs,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__take,axiom,
% 191.91/191.90 ! [V_n,V_xs,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__tl,axiom,
% 191.91/191.90 ! [V_xs,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__remove1,axiom,
% 191.91/191.90 ! [V_a,V_xs,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__insort,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( 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))
% 191.91/191.90 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__butlast,axiom,
% 191.91/191.90 ! [V_xs,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__many__eq,axiom,
% 191.91/191.90 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( 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)))
% 191.91/191.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/191.90 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__many,axiom,
% 191.91/191.90 ! [V_zs,V_y,V_x,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 191.91/191.90 => 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))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted_Oequations_I1_J,axiom,
% 191.91/191.90 ! [T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__remdups,axiom,
% 191.91/191.90 ! [V_l,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__distinct__set__unique,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.91/191.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 191.91/191.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 191.91/191.90 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 191.91/191.90 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__sort__key,axiom,
% 191.91/191.90 ! [V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__insort__key,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( 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)))
% 191.91/191.90 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__map__remove1,axiom,
% 191.91/191.90 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__filter,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__same,axiom,
% 191.91/191.90 ! [V_xs_2,V_g_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__map__same,axiom,
% 191.91/191.90 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__Cons,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 191.91/191.90 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.91/191.90 & ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__append,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 191.91/191.90 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.91/191.90 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 191.91/191.90 & ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => ! [B_xa] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__insort,axiom,
% 191.91/191.90 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 191.91/191.90 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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)) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted_Oequations_I2_J,axiom,
% 191.91/191.90 ! [V_a1_2,V_a2_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 191.91/191.90 <=> ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 191.91/191.90 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__list__of__set,axiom,
% 191.91/191.90 ! [V_A_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.90 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 191.91/191.90 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 191.91/191.90 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_insort__remove1,axiom,
% 191.91/191.90 ! [V_xs_2,V_a_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.91/191.90 => 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 ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__nth__mono,axiom,
% 191.91/191.90 ! [V_j,V_i,V_xs,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__equals__nth__mono,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.91/191.90 <=> ! [B_j] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ! [B_i] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 191.91/191.90 => 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))) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_map__sorted__distinct__set__unique,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 191.91/191.90 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 191.91/191.90 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 191.91/191.90 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 191.91/191.90 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__column,axiom,
% 191.91/191.90 ! [V_i_2,V_xs_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_nth__nth__transpose__sorted,axiom,
% 191.91/191.90 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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))))
% 191.91/191.90 => ( 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))))
% 191.91/191.90 => 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) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_inj__on__rev,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__rev,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 191.91/191.90 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__is__Nil__conv,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.91/191.90 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nil__is__rev__conv,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 191.91/191.90 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev_Osimps_I1_J,axiom,
% 191.91/191.90 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__singleton__conv,axiom,
% 191.91/191.90 ! [V_x_2,V_xs_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_singleton__rev__conv,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)
% 191.91/191.90 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__append,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__concat,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__map,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__filter,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_zip__rev,axiom,
% 191.91/191.90 ! [V_ys,T_b,V_xs,T_a] :
% 191.91/191.90 ( 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)
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__rev,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all2__rev1,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.90 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 191.91/191.90 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all2__rev,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__is__rev__conv,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 191.91/191.90 <=> V_xs_2 = V_ys_2 ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__swap,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 191.91/191.90 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__rev__ident,axiom,
% 191.91/191.90 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 191.91/191.90
% 191.91/191.90 fof(fact_listsum__rev,axiom,
% 191.91/191.90 ! [V_xs,T_a] :
% 191.91/191.90 ( class_Groups_Ocomm__monoid__add(T_a)
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__rev,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldr__foldl,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldl__foldr,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__eq__Cons__iff,axiom,
% 191.91/191.90 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 191.91/191.90 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 191.91/191.90 <=> 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev_Osimps_I2_J,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_hd__rev,axiom,
% 191.91/191.90 ! [T_a,V_xs] :
% 191.91/191.90 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.90 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_last__rev,axiom,
% 191.91/191.90 ! [T_a,V_xs] :
% 191.91/191.90 ( V_xs != c_List_Olist_ONil(T_a)
% 191.91/191.90 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__transpose,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__foldl__cons,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__drop,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__take,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rotate__rev,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__nth,axiom,
% 191.91/191.90 ! [V_xs,T_a,V_n] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__update,axiom,
% 191.91/191.90 ! [V_y,V_xs,T_a,V_k] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__rev__nth__mono,axiom,
% 191.91/191.90 ! [V_j,V_i,V_xs,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldr__max__sorted,axiom,
% 191.91/191.90 ! [V_y_2,V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 191.91/191.90 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 191.91/191.90 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 191.91/191.90 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.91/191.90 => 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) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__transpose__sorted,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 191.91/191.90 => 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) )
% 191.91/191.90 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 191.91/191.90 => 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))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__column__length,axiom,
% 191.91/191.90 ! [V_i_2,V_xs_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transpose__transpose,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 191.91/191.90 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__takeWhile,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__takeWhile__le,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__takeWhileD,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__eq__all__conv,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_zip__takeWhile__fst,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_zip__takeWhile__snd,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 191.91/191.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.91/191.90 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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)) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__tail,axiom,
% 191.91/191.90 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.91/191.90 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__eq__take,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__takeWhile,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.90 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__map,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_return__list__def,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__append1,axiom,
% 191.91/191.90 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__nth,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_nth__length__takeWhile,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ~ 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))))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__not__last,axiom,
% 191.91/191.90 ! [T_b,V_xs_2] :
% 191.91/191.90 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.91/191.90 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 191.91/191.90 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 191.91/191.90 ! [V_l] :
% 191.91/191.90 ( c_List_Onat__list(V_l)
% 191.91/191.90 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_embed__list__def,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__neq__rev,axiom,
% 191.91/191.90 ! [V_x_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile__neq__rev,axiom,
% 191.91/191.90 ! [V_x_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__dropWhile,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 191.91/191.90 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.91/191.90 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__dropWhile,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.91/191.90 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__dropWhile__le,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__dropWhile__id,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_hd__dropWhile,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 191.91/191.90 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile__map,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile__append1,axiom,
% 191.91/191.90 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 191.91/191.90 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( 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)
% 191.91/191.90 <=> ( 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))
% 191.91/191.90 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile__eq__drop,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile__nth,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_listsum__map__filter,axiom,
% 191.91/191.90 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 191.91/191.90 ( class_Groups_Omonoid__add(T_c)
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.90 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted__nth__monoI,axiom,
% 191.91/191.90 ! [V_xs,T_a] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_a)
% 191.91/191.90 => ( ! [B_i,B_j] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) )
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__eq__filter,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.90 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 191.91/191.90 ( ! [B_i] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 191.91/191.90 => ( ( 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)))
% 191.91/191.90 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) )
% 191.91/191.90 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__takeWhile__less__P__nth,axiom,
% 191.91/191.90 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 191.91/191.90 ( ! [B_i] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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)))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted_Osimps,axiom,
% 191.91/191.90 ! [V_a_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 191.91/191.90 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 191.91/191.90 | ? [B_xs,B_x] :
% 191.91/191.90 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 191.91/191.90 & ! [B_xa] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 191.91/191.90 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_List_Oinsert__def,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 191.91/191.90 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_not__in__set__insert,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_insert__remdups,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__insert,axiom,
% 191.91/191.90 ! [V_x,V_xs,T_a] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.91/191.90 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__set__insert,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_List_Oset__insert,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_insert__Nil,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat__map__maps,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_maps__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_maps__simps_I2_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_maps__simps_I1_J,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_distinct__concat,axiom,
% 191.91/191.90 ! [V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 191.91/191.90 => ( ! [B_ys] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 191.91/191.90 => ( ! [B_ys] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 191.91/191.90 => ! [B_zs] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 191.91/191.90 => ( B_ys != B_zs
% 191.91/191.90 => 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)) ) ) )
% 191.91/191.90 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_measures__lesseq,axiom,
% 191.91/191.90 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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)))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__measures,axiom,
% 191.91/191.90 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__measures_I1_J,axiom,
% 191.91/191.90 ! [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))))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_measures__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_measures__less,axiom,
% 191.91/191.90 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__measures_I2_J,axiom,
% 191.91/191.90 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 <=> ( 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)))
% 191.91/191.90 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.91/191.90 & 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))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_foldl__apply,axiom,
% 191.91/191.90 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => 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)) )
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wfP__def,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.91/191.90 <=> 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wfP__empty,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wfP__subset,axiom,
% 191.91/191.90 ! [V_p_2,V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.91/191.90 => ( 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))
% 191.91/191.90 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_accp__wfPD,axiom,
% 191.91/191.90 ! [V_x_2,V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.91/191.90 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wfP__accp__iff,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.91/191.90 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__in__rel,axiom,
% 191.91/191.90 ! [V_R_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.91/191.90 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wfP__wf__eq,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wfP__acyclicP,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_order__fun_I2_J,axiom,
% 191.91/191.90 ! [V_g_2,V_f_2,T_b,T_c] :
% 191.91/191.90 ( ( class_Orderings_Oorder(T_c)
% 191.91/191.90 & class_Enum_Oenum(T_b) )
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.91/191.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.91/191.90 & 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)))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__acyclic,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.90 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_acyclic__subset,axiom,
% 191.91/191.90 ! [V_r_2,V_s_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 191.91/191.90 => ( 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))
% 191.91/191.90 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_enum__ex,axiom,
% 191.91/191.90 ! [V_Pa_2,T_b] :
% 191.91/191.90 ( class_Enum_Oenum(T_b)
% 191.91/191.90 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 191.91/191.90 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_exists__code,axiom,
% 191.91/191.90 ! [V_Pa_2,T_b] :
% 191.91/191.90 ( class_Enum_Oenum(T_b)
% 191.91/191.90 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/191.90 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_enum__ex__prod__def,axiom,
% 191.91/191.90 ! [V_Pa_2,T_b,T_c] :
% 191.91/191.90 ( ( class_Enum_Oenum(T_c)
% 191.91/191.90 & class_Enum_Oenum(T_b) )
% 191.91/191.90 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 191.91/191.90 <=> 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))))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_finite__acyclic__wf,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.91/191.90 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.91/191.90 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.91/191.90 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.90 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Owf_H__def,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 191.91/191.90 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.91/191.90 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.91/191.90 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_zip__obtain__same__length,axiom,
% 191.91/191.90 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 191.91/191.90 ( ( 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))
% 191.91/191.90 => 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)))) )
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_the__sym__eq__trivial,axiom,
% 191.91/191.90 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_the__eq__trivial,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pigeonhole__infinite,axiom,
% 191.91/191.90 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.91/191.90 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.91/191.90 => ? [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.90 & ~ 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)))))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Abs__Integ__induct,axiom,
% 191.91/191.90 ! [V_x_2,V_Pa_2] :
% 191.91/191.90 ( ! [B_y] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Abs__Integ__cases,axiom,
% 191.91/191.90 ! [V_x_2] :
% 191.91/191.90 ~ ! [B_y] :
% 191.91/191.90 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 191.91/191.90 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_finite__UN__I,axiom,
% 191.91/191.90 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.90 => ( ! [B_a] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.91/191.90 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_inj__on__diff__nat,axiom,
% 191.91/191.90 ! [V_k_2,V_N_2] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wfP__SUP,axiom,
% 191.91/191.90 ! [T_b,V_r_2,T_c] :
% 191.91/191.90 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 191.91/191.90 => ( ! [B_i,B_j] :
% 191.91/191.90 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 191.91/191.90 => 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)) )
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pos__not__random__dseq__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_dropWhile__append2,axiom,
% 191.91/191.90 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all2__all__nthI,axiom,
% 191.91/191.90 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 191.91/191.90 ( 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)
% 191.91/191.90 => ( ! [B_n] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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))) )
% 191.91/191.90 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_mem__splitE,axiom,
% 191.91/191.90 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ~ ! [B_x,B_y] :
% 191.91/191.90 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 191.91/191.90 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_mem__splitI2,axiom,
% 191.91/191.90 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 191.91/191.90 ( ! [B_a,B_b] :
% 191.91/191.90 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_finite__sorted__distinct__unique,axiom,
% 191.91/191.90 ! [V_A_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.90 => ? [B_x] :
% 191.91/191.90 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 191.91/191.90 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 191.91/191.90 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 191.91/191.90 & ! [B_y] :
% 191.91/191.90 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 191.91/191.90 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 191.91/191.90 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 191.91/191.90 => B_y = B_x ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_takeWhile__append2,axiom,
% 191.91/191.90 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_insort__is__Cons,axiom,
% 191.91/191.90 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_c)
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wfI__pf,axiom,
% 191.91/191.90 ! [V_R_2,T_b] :
% 191.91/191.90 ( ! [B_A] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 191.91/191.90 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__eq__Cons__iff,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 191.91/191.90 ( 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)
% 191.91/191.90 <=> ? [B_us,B_vs] :
% 191.91/191.90 ( 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))
% 191.91/191.90 & ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 191.91/191.90 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Cons__eq__filter__iff,axiom,
% 191.91/191.90 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)
% 191.91/191.90 <=> ? [B_us,B_vs] :
% 191.91/191.90 ( 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))
% 191.91/191.90 & ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 191.91/191.90 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Sigma__mono,axiom,
% 191.91/191.90 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.90 => 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))) )
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_acc_OaccI,axiom,
% 191.91/191.90 ! [V_r_2,V_x_2,T_b] :
% 191.91/191.90 ( ! [B_y] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_not__acc__down,axiom,
% 191.91/191.90 ! [V_R_2,V_x_2,T_b] :
% 191.91/191.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 191.91/191.90 => ~ ! [B_z] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_order__fun_I1_J,axiom,
% 191.91/191.90 ! [V_g_2,V_f_2,T_b,T_c] :
% 191.91/191.90 ( ( class_Orderings_Oorder(T_c)
% 191.91/191.90 & class_Enum_Oenum(T_b) )
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.91/191.90 <=> 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_max__ext_Osimps,axiom,
% 191.91/191.90 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 191.91/191.90 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 191.91/191.90 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.90 & ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 191.91/191.90 => ? [B_xa] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 191.91/191.90 & 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)) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_enum__all__prod__def,axiom,
% 191.91/191.90 ! [V_Pa_2,T_b,T_c] :
% 191.91/191.90 ( ( class_Enum_Oenum(T_c)
% 191.91/191.90 & class_Enum_Oenum(T_b) )
% 191.91/191.90 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 191.91/191.90 <=> 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))))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_all__code,axiom,
% 191.91/191.90 ! [V_Pa_2,T_b] :
% 191.91/191.90 ( class_Enum_Oenum(T_b)
% 191.91/191.90 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/191.90 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_enum__all,axiom,
% 191.91/191.90 ! [V_Pa_2,T_b] :
% 191.91/191.90 ( class_Enum_Oenum(T_b)
% 191.91/191.90 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 191.91/191.90 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ball__nth,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sorted_OCons,axiom,
% 191.91/191.90 ! [V_x_2,V_xs_2,T_b] :
% 191.91/191.90 ( class_Orderings_Olinorder(T_b)
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 191.91/191.90 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.91/191.90 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__no__infinite__down__chainE,axiom,
% 191.91/191.90 ! [V_f_2,V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.90 => ~ ! [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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex__length,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 191.91/191.90 <=> ? [B_n] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex__simps_I1_J,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 191.91/191.90 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex__rev,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 191.91/191.90 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex__iff,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 191.91/191.90 <=> ? [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex__append,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 191.91/191.90 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 191.91/191.90 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex__simps_I2_J,axiom,
% 191.91/191.90 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_less__eq,axiom,
% 191.91/191.90 ! [V_na_2,V_m_2] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__set__conv__decomp__first,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 <=> ? [B_ys] :
% 191.91/191.90 ( ? [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))
% 191.91/191.90 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__trancl,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.90 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_less__than__def,axiom,
% 191.91/191.90 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_acyclic__def,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.91/191.90 <=> ! [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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl_Or__into__trancl,axiom,
% 191.91/191.90 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__subset__Field2,axiom,
% 191.91/191.90 ! [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))))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_r__into__trancl_H,axiom,
% 191.91/191.90 ! [V_r_2,V_p_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__empty,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__domain,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__range,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_finite__trancl,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.91/191.90 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__trans,axiom,
% 191.91/191.90 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 191.91/191.90 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__into__trancl2,axiom,
% 191.91/191.90 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_r__r__into__trancl,axiom,
% 191.91/191.90 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ( 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))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__mono,axiom,
% 191.91/191.90 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.91/191.90 => ( 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))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__unfold,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__subset__Sigma,axiom,
% 191.91/191.90 ! [V_A_2,V_r_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__Int__subset,axiom,
% 191.91/191.90 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ( 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))
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__insert,axiom,
% 191.91/191.90 ! [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)))))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_reflcl__set__eq,axiom,
% 191.91/191.90 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_r__into__rtrancl,axiom,
% 191.91/191.90 ! [V_r_2,V_p_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_IdI,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__into__rtrancl,axiom,
% 191.91/191.90 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_listrel__rtrancl__refl,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__eq__or__trancl,axiom,
% 191.91/191.90 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 <=> ( V_x_2 = V_y_2
% 191.91/191.90 | ( V_x_2 != V_y_2
% 191.91/191.90 & 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))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__into__trancl2,axiom,
% 191.91/191.90 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtranclD,axiom,
% 191.91/191.90 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( V_a_2 = V_b_2
% 191.91/191.90 | ( V_a_2 != V_b_2
% 191.91/191.90 & 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))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__into__trancl1,axiom,
% 191.91/191.90 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__rtrancl__trancl,axiom,
% 191.91/191.90 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__trancl__trancl,axiom,
% 191.91/191.90 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__unfold__right,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__unfold__left,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_reflcl__trancl,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__reflcl,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__rtrancl__absorb,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__trancl__absorb,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Range__rtrancl,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__Un__subset,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__subset__rtrancl,axiom,
% 191.91/191.90 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__subset,axiom,
% 191.91/191.90 ! [V_S_2,V_R_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__mono,axiom,
% 191.91/191.90 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Image__closed__trancl,axiom,
% 191.91/191.90 ! [V_X_2,V_r_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_refl__rtrancl,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__rtrancl__UnI,axiom,
% 191.91/191.90 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 191.91/191.90 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.91/191.90 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__r__diff__Id,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__idemp,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__reflcl,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__Un__rtrancl,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__reflcl__absorb,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_r__comp__rtrancl__eq,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__idemp__self__comp,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__unfold,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__empty,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__trans,axiom,
% 191.91/191.90 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 191.91/191.90 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 191.91/191.90 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__Int__subset,axiom,
% 191.91/191.90 ! [V_r_2,V_s_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ( 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))
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__rtrancl,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__Id,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Id__O__R,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_R__O__Id,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Image__Id,axiom,
% 191.91/191.90 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pair__in__Id__conv,axiom,
% 191.91/191.90 ! [V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 <=> V_a_2 = V_b_2 ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Range__Id,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_refl__Id,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_listrel__rtrancl__trans,axiom,
% 191.91/191.90 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pair__leq__def,axiom,
% 191.91/191.90 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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Not__Domain__rtrancl,axiom,
% 191.91/191.90 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 191.91/191.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_acc__downwards,axiom,
% 191.91/191.90 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_acc__downwards__aux,axiom,
% 191.91/191.90 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__insert,axiom,
% 191.91/191.90 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.90 & ~ 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 191.91/191.90 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 191.91/191.90 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_acyclic__insert,axiom,
% 191.91/191.90 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.91/191.90 & ~ 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 191.91/191.90 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 191.91/191.90 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_refl__reflcl,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Id__def,axiom,
% 191.91/191.90 ! [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))))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_irrefl__diff__Id,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pred__nat__trancl__eq__le,axiom,
% 191.91/191.90 ! [V_na_2,V_m_2] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__subset__Sigma__aux,axiom,
% 191.91/191.90 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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))))
% 191.91/191.90 => ( V_a_2 = V_b_2
% 191.91/191.90 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_irrefl__tranclI,axiom,
% 191.91/191.90 ! [V_x_2,V_r_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ~ 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_sequence__trans,axiom,
% 191.91/191.90 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 191.91/191.90 ( ! [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)))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__converse,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__Id,axiom,
% 191.91/191.90 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_acyclic__converse,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.91/191.90 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__INTER,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_refl__on__converse,axiom,
% 191.91/191.90 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.90 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.91/191.90 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Field__converse,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__Id__on,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__converse,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__Un,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__rel__comp,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_listrel1__converse,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_finite__converse,axiom,
% 191.91/191.90 ! [V_r_2,T_c,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 191.91/191.90 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_equiv__comp__eq,axiom,
% 191.91/191.90 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.90 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.90 => 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 ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__iff,axiom,
% 191.91/191.90 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 <=> 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converseI,axiom,
% 191.91/191.90 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converseD,axiom,
% 191.91/191.90 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__listrel1__converse,axiom,
% 191.91/191.90 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 191.91/191.90 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__Int,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Range__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Domain__converse,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Range__converse,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__UNION,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__inv__image,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__converse__trancl,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.91/191.90 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__converse,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__converseI,axiom,
% 191.91/191.90 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__converseD,axiom,
% 191.91/191.90 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__converseI,axiom,
% 191.91/191.90 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__converseD,axiom,
% 191.91/191.90 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Image__subset__eq,axiom,
% 191.91/191.90 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> 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))))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_refl__on__comp__subset,axiom,
% 191.91/191.90 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.90 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_comp__equivI,axiom,
% 191.91/191.90 ! [V_A_2,V_r_2,T_b] :
% 191.91/191.90 ( 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
% 191.91/191.90 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 191.91/191.90 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_finite__acyclic__wf__converse,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.91/191.90 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.91/191.90 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__def,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Image__INT__eq,axiom,
% 191.91/191.90 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 191.91/191.90 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_total__on__diff__Id,axiom,
% 191.91/191.90 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_single__valued__Id,axiom,
% 191.91/191.90 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_total__on__converse,axiom,
% 191.91/191.90 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.90 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.91/191.90 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_total__on__empty,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_single__valued__Id__on,axiom,
% 191.91/191.90 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_single__valued__rel__comp,axiom,
% 191.91/191.90 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 191.91/191.90 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 191.91/191.90 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_single__valued__subset,axiom,
% 191.91/191.90 ! [V_s_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 191.91/191.90 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_single__valued__def,axiom,
% 191.91/191.90 ! [V_r_2,T_c,T_b] :
% 191.91/191.90 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 191.91/191.90 <=> ! [B_x,B_y] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ! [B_z] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => B_y = B_z ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_single__valuedD,axiom,
% 191.91/191.90 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 191.91/191.90 => ( 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))
% 191.91/191.90 => ( 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))
% 191.91/191.90 => V_y_2 = V_z_2 ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_total__on__def,axiom,
% 191.91/191.90 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.90 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.90 => ! [B_xa] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.91/191.90 => ( B_x != B_xa
% 191.91/191.90 => ( 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))
% 191.91/191.90 | 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)) ) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_single__valued__confluent,axiom,
% 191.91/191.90 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 191.91/191.90 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 | 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))) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Image__Int__eq,axiom,
% 191.91/191.90 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 191.91/191.90 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 191.91/191.90 ! [V_R_2,V_p_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_acyclicI,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( ! [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)))
% 191.91/191.90 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_single__valued__rel__pow,axiom,
% 191.91/191.90 ! [V_na_2,V_R_2,T_b] :
% 191.91/191.90 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__exp,axiom,
% 191.91/191.90 ! [V_R_2,V_na_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_funpow__swap1,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_funpow__mult,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_comp__funpow,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_relpow_Osimps_I2_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__commute,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__add,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__1,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_relpow_Osimps_I1_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__power,axiom,
% 191.91/191.90 ! [V_R_2,V_p_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.91/191.90 <=> ? [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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__imp__rtrancl,axiom,
% 191.91/191.90 ! [V_R_2,V_na_2,V_p_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__0__E,axiom,
% 191.91/191.90 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => V_x_2 = V_y_2 ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__0__I,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__Suc__I2,axiom,
% 191.91/191.90 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__Suc__I,axiom,
% 191.91/191.90 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( 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))
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_funpow_Osimps_I2_J,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_funpow__add,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_funpow_Osimps_I1_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_trancl__power,axiom,
% 191.91/191.90 ! [V_R_2,V_p_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 191.91/191.90 <=> ? [B_n] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 191.91/191.90 & 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_funpow__code__def,axiom,
% 191.91/191.90 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__E,axiom,
% 191.91/191.90 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 => V_x_2 != V_z_2 )
% 191.91/191.90 => ~ ! [B_y,B_m] :
% 191.91/191.90 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 191.91/191.90 => ( 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)))
% 191.91/191.90 => ~ 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)) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rotate__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__E2,axiom,
% 191.91/191.90 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 => V_x_2 != V_z_2 )
% 191.91/191.90 => ~ ! [B_y,B_m] :
% 191.91/191.90 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 191.91/191.90 => ( 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))
% 191.91/191.90 => ~ 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))) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__Un__separatorE,axiom,
% 191.91/191.90 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ! [B_y] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => B_x = B_y ) )
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 191.91/191.90 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ! [B_y] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => B_y = B_x ) )
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__Suc__E,axiom,
% 191.91/191.90 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ~ ! [B_y] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ~ 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__Suc__D2,axiom,
% 191.91/191.90 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ? [B_y] :
% 191.91/191.90 ( 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))
% 191.91/191.90 & 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__pow__Suc__E2,axiom,
% 191.91/191.90 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ~ ! [B_y] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ~ 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_tranclD2,axiom,
% 191.91/191.90 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ? [B_z] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 & 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_tranclD,axiom,
% 191.91/191.90 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ? [B_z] :
% 191.91/191.90 ( 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))
% 191.91/191.90 & 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_IdE,axiom,
% 191.91/191.90 ! [V_p_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 191.91/191.90 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__set__conv__decomp,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 <=> ? [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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__set__conv__decomp__last,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 <=> ? [B_ys,B_zs] :
% 191.91/191.90 ( 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))
% 191.91/191.90 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_wf__eq__minimal,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.91/191.90 <=> ! [B_Q] :
% 191.91/191.90 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 191.91/191.90 => ? [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 191.91/191.90 & ! [B_y] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transfer__nat__int__set__cong,axiom,
% 191.91/191.90 ! [V_P_H_2,V_Pa_2] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.91/191.90 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.90 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Int__Collect__mono,axiom,
% 191.91/191.90 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.90 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.90 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 191.91/191.90 => 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)))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converseE,axiom,
% 191.91/191.90 ! [V_r_2,V_yx_2,T_c,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ~ ! [B_x,B_y] :
% 191.91/191.90 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 191.91/191.90 => ~ 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rel__compE,axiom,
% 191.91/191.90 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ~ ! [B_x,B_y,B_z] :
% 191.91/191.90 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 191.91/191.90 => ( 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))
% 191.91/191.90 => ~ 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)) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all__length,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 191.91/191.90 <=> ! [B_n] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all__simps_I1_J,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 191.91/191.90 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all__rev,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 191.91/191.90 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all__iff,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all__append,axiom,
% 191.91/191.90 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 191.91/191.90 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 191.91/191.90 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all__simps_I2_J,axiom,
% 191.91/191.90 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Ball__set__list__all,axiom,
% 191.91/191.90 ! [V_Pa_2,V_xs_2,T_b] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.90 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__all__iff__raw,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 191.91/191.90 <=> ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Oof__frac__def,axiom,
% 191.91/191.90 ! [V_q,T_a,T_b] :
% 191.91/191.90 ( ( class_Rings_Oinverse(T_b)
% 191.91/191.90 & class_Rings_Oring__1(T_b) )
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Oless__frac__def,axiom,
% 191.91/191.90 ! [V_r_2,V_q_2,T_b] :
% 191.91/191.90 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 191.91/191.90 <=> 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 191.91/191.90 ! [V_r_2,V_q_2,T_b] :
% 191.91/191.90 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 191.91/191.90 <=> 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Odenom__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Nitpick_Onum__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex1__simps_I2_J,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 191.91/191.90 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_internal__split__def,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex1__simps_I1_J,axiom,
% 191.91/191.90 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_internal__split__conv,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex1__iff,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 191.91/191.90 <=> ? [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.90 & ! [B_y] :
% 191.91/191.90 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 191.91/191.90 => B_y = B_x ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_finite__less__ub,axiom,
% 191.91/191.90 ! [V_u_2,V_f_2] :
% 191.91/191.90 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_transfer__morphism__int__nat,axiom,
% 191.91/191.90 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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 191.91/191.90 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 191.91/191.90 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.90 => 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) )
% 191.91/191.90 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 191.91/191.90 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 191.91/191.90 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.90 => 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) )
% 191.91/191.90 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 191.91/191.90 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pos__empty__def,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_neg__bind__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_neg__map__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_neg__single__def,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pos__bind__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pos__map__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pos__single__def,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__splice,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_splice_Osimps_I3_J,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_splice_Osimps_I1_J,axiom,
% 191.91/191.90 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 191.91/191.90
% 191.91/191.90 fof(fact_splice__Nil2,axiom,
% 191.91/191.90 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 191.91/191.90
% 191.91/191.90 fof(fact_splice_Osimps_I2_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__DSequence_Opos__single__def,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_acyclicP__converse,axiom,
% 191.91/191.90 ! [V_r_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 <=> 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__join,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__meet,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_converse__pred__comp,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_conversep__noteq,axiom,
% 191.91/191.90 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> V_x_2 != V_y_2 ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_conversep__eq,axiom,
% 191.91/191.90 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 191.91/191.90
% 191.91/191.90 fof(fact_conversep__conversep,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_conversep__iff,axiom,
% 191.91/191.90 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 191.91/191.90 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_conversep_Oequations,axiom,
% 191.91/191.90 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 191.91/191.90 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_conversep_Ointros,axiom,
% 191.91/191.90 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.91/191.90 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_conversepD,axiom,
% 191.91/191.90 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 191.91/191.90 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_conversep__converse__eq,axiom,
% 191.91/191.90 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_,axiom,
% 191.91/191.90 ! [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)))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_tl__replicate,axiom,
% 191.91/191.90 ! [V_x,T_a,V_n] :
% 191.91/191.90 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 => 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) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_replicate__app__Cons__same,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_replicate__Suc,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_replicate__length__filter,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_rev__replicate,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_take__replicate,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_hd__replicate,axiom,
% 191.91/191.90 ! [V_x,T_a,V_n] :
% 191.91/191.90 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_last__replicate,axiom,
% 191.91/191.90 ! [V_x,T_a,V_n] :
% 191.91/191.90 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_drop__replicate,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_zip__replicate,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Bex__set__replicate,axiom,
% 191.91/191.90 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 191.91/191.90 ( ? [B_x] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.90 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/191.90 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_Ball__set__replicate,axiom,
% 191.91/191.90 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.90 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/191.90 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_replicate__eq__replicate,axiom,
% 191.91/191.90 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] :
% 191.91/191.90 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2)
% 191.91/191.90 <=> ( V_m_2 = V_na_2
% 191.91/191.90 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 => V_x_2 = V_y_2 ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_length__replicate,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_nth__replicate,axiom,
% 191.91/191.90 ! [V_x,T_a,V_n,V_i] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 191.91/191.90 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_append__replicate__commute,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_replicate__add,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_filter__replicate,axiom,
% 191.91/191.90 ! [V_na_2,T_b,V_x_2,V_Pa_2] :
% 191.91/191.90 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/191.90 => 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) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_concat__replicate__trivial,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_replicate__0,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_empty__replicate,axiom,
% 191.91/191.90 ! [V_x_2,V_na_2,T_b] :
% 191.91/191.90 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2)
% 191.91/191.90 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_replicate__empty,axiom,
% 191.91/191.90 ! [V_x_2,V_na_2,T_b] :
% 191.91/191.90 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b)
% 191.91/191.90 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_map__replicate__const,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_map__replicate,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__set__replicate,axiom,
% 191.91/191.90 ! [V_y_2,V_na_2,V_x_2,T_b] :
% 191.91/191.90 ( 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))))
% 191.91/191.90 <=> ( V_x_2 = V_y_2
% 191.91/191.90 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_replicate__append__same,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_map__replicate__trivial,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__replicate__conv__if,axiom,
% 191.91/191.90 ! [V_x_2,T_b,V_na_2] :
% 191.91/191.90 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 => 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)) )
% 191.91/191.90 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 => 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))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__replicate,axiom,
% 191.91/191.90 ! [V_x_2,T_b,V_na_2] :
% 191.91/191.90 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/191.90 => 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))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_set__replicate__Suc,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_small__lazy__list_Osimps,axiom,
% 191.91/191.90 ! [V_d_2,T_b] :
% 191.91/191.90 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 191.91/191.90 => 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)))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_eq__comp__r,axiom,
% 191.91/191.90 ! [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 ).
% 191.91/191.90
% 191.91/191.90 fof(fact_small__lazy__prod__def,axiom,
% 191.91/191.90 ! [V_d,T_b,T_a] :
% 191.91/191.90 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 191.91/191.90 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_New__DSequence_Opos__union__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact__01,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_lazy__sequence_Oinject,axiom,
% 191.91/191.90 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 191.91/191.90 ( 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)
% 191.91/191.90 <=> ( V_a_2 = V_a_H_2
% 191.91/191.90 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_pos__union__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 191.91/191.90 ! [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))) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_small__lazy_H_Osimps,axiom,
% 191.91/191.90 ! [V_i,V_d] :
% 191.91/191.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 191.91/191.90 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 191.91/191.90 => 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)))) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_small__lazy_H_Opsimps,axiom,
% 191.91/191.90 ! [V_i_2,V_d_2] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 191.91/191.90 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 191.91/191.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 191.91/191.90 => 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)))) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_small__lazy__int__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_small__lazy_H_Opinduct,axiom,
% 191.91/191.90 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( ! [B_d,B_i] :
% 191.91/191.90 ( 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)))
% 191.91/191.90 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 191.91/191.90 => 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)))) )
% 191.91/191.90 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 191.91/191.90 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_size__code,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_lazy__sequence__size__code,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_seq__case,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_yieldn__def,axiom,
% 191.91/191.90 ! [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)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_refl__on__INTER,axiom,
% 191.91/191.90 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/191.90 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_List_Omember__def,axiom,
% 191.91/191.90 ! [V_x_2,V_xs_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 191.91/191.90 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_member__rec_I2_J,axiom,
% 191.91/191.90 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_member__set,axiom,
% 191.91/191.90 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_member__rec_I1_J,axiom,
% 191.91/191.90 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 <=> ( V_x_2 = V_y_2
% 191.91/191.90 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_in__set__member,axiom,
% 191.91/191.90 ! [V_xs_2,V_x_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_list__ex1__iff__raw,axiom,
% 191.91/191.90 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.90 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 191.91/191.90 <=> ? [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.90 & ! [B_y] :
% 191.91/191.90 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.90 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 191.91/191.90 => B_y = B_x ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_setsum__UNION__zero,axiom,
% 191.91/191.90 ! [V_f_2,V_S_2,T_b,T_c] :
% 191.91/191.90 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/191.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 191.91/191.90 => ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 191.91/191.90 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 191.91/191.90 => ( ! [B_T1] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 191.91/191.90 => ! [B_T2] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 191.91/191.90 => ( B_T1 != B_T2
% 191.91/191.90 => ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 191.91/191.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 191.91/191.90 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 191.91/191.90 => 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) ) ) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_THE__default__def,axiom,
% 191.91/191.90 ! [V_d_2,T_b,V_Pa_2] :
% 191.91/191.90 ( ( ? [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.90 & ! [B_y] :
% 191.91/191.90 ( hBOOL(hAPP(V_Pa_2,B_y))
% 191.91/191.90 => B_y = B_x ) )
% 191.91/191.90 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 191.91/191.90 & ( ~ ? [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/191.90 & ! [B_y] :
% 191.91/191.90 ( hBOOL(hAPP(V_Pa_2,B_y))
% 191.91/191.90 => B_y = B_x ) )
% 191.91/191.90 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_SUP2__E,axiom,
% 191.91/191.90 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.91/191.90 ( 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))
% 191.91/191.90 => ~ ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.90 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_INF2__I,axiom,
% 191.91/191.90 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 191.91/191.90 ( ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.90 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 191.91/191.90 => 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)) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_finite__maxlen,axiom,
% 191.91/191.90 ! [V_M_2,T_b] :
% 191.91/191.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 191.91/191.90 => ? [B_n] :
% 191.91/191.90 ! [B_x] :
% 191.91/191.90 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 191.91/191.90 => 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)) ) ) ).
% 191.91/191.90
% 191.91/191.90 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 191.91/191.90 ! [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) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 191.91/191.91 ! [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) ).
% 191.91/191.91
% 191.91/191.91 fof(fact__02,axiom,
% 191.91/191.91 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 191.91/191.91
% 191.91/191.91 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 191.91/191.91 ! [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) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 191.91/191.91 ! [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) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 191.91/191.91 ! [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 ).
% 191.91/191.91
% 191.91/191.91 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 191.91/191.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 191.91/191.91 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 191.91/191.91 <=> ~ 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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_list__all__iff__all__interval__int,axiom,
% 191.91/191.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 191.91/191.91 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 191.91/191.91 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_all__interval__int__def,axiom,
% 191.91/191.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 191.91/191.91 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 191.91/191.91 <=> ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 191.91/191.91 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Random_Osimps,axiom,
% 191.91/191.91 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 191.91/191.91 ( ( 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)))
% 191.91/191.91 => 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)) )
% 191.91/191.91 & ( ~ 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)))
% 191.91/191.91 => 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))))))) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_exE__realizer,axiom,
% 191.91/191.91 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( ! [B_x,B_y] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 191.91/191.91 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 191.91/191.91 => 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))) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Random__Sequence_Oempty__def,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Random__Sequence_Osingle__def,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Random__Sequence_Omap__def,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Image__Collect__split,axiom,
% 191.91/191.91 ! [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)))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_list__ex__iff__raw,axiom,
% 191.91/191.91 ! [V_xs_2,V_Pa_2,T_b] :
% 191.91/191.91 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 191.91/191.91 <=> ? [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.91 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Bex__set__list__ex,axiom,
% 191.91/191.91 ! [V_Pa_2,V_xs_2,T_b] :
% 191.91/191.91 ( ? [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.91/191.91 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.91 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_SUPR__bool__eq,axiom,
% 191.91/191.91 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_finite__Collect__bex,axiom,
% 191.91/191.91 ! [V_Q_2,T_c,V_A_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.91 => ( 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)))))
% 191.91/191.91 <=> ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.91 => 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)))) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bex__UNIV,axiom,
% 191.91/191.91 ! [V_Pa_2,T_b] :
% 191.91/191.91 ( ? [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/191.91 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.91 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bex__empty,axiom,
% 191.91/191.91 ! [V_Pa_2,T_b] :
% 191.91/191.91 ~ ? [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/191.91 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Union__eq,axiom,
% 191.91/191.91 ! [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)))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_UN__eq,axiom,
% 191.91/191.91 ! [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))))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_INT__eq,axiom,
% 191.91/191.91 ! [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))))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Sup__fun__def,axiom,
% 191.91/191.91 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.91/191.91 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.91 => 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)))))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Sup__apply,axiom,
% 191.91/191.91 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.91/191.91 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.91 => 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)))))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Inf__fun__def,axiom,
% 191.91/191.91 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.91/191.91 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.91 => 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)))))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Inf__apply,axiom,
% 191.91/191.91 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.91/191.91 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/191.91 => 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)))))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_max__extp_Ointros,axiom,
% 191.91/191.91 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 191.91/191.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 191.91/191.91 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.91 => ( ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 191.91/191.91 => ? [B_xa] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 191.91/191.91 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 191.91/191.91 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_max__extp_Osimps,axiom,
% 191.91/191.91 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 191.91/191.91 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 191.91/191.91 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 191.91/191.91 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 191.91/191.91 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/191.91 & ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 191.91/191.91 => ? [B_xa] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 191.91/191.91 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_fun__lub__def,axiom,
% 191.91/191.91 ! [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)))))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_lexord__trans,axiom,
% 191.91/191.91 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.91/191.91 => ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__less__than,axiom,
% 191.91/191.91 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__lex__prod,axiom,
% 191.91/191.91 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_R1_2)
% 191.91/191.91 => ( c_Relation_Otrans(T_c,V_R2_2)
% 191.91/191.91 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__reflclI,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => 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))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__rtrancl,axiom,
% 191.91/191.91 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__Id,axiom,
% 191.91/191.91 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__O__subset,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => 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)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trancl__id,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__trancl,axiom,
% 191.91/191.91 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__inv__image,axiom,
% 191.91/191.91 ! [V_f_2,T_c,V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__Int,axiom,
% 191.91/191.91 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => ( c_Relation_Otrans(T_b,V_s_2)
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__finite__psubset,axiom,
% 191.91/191.91 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_lexord__transI,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__Id__on,axiom,
% 191.91/191.91 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_listrel__trans,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__converse,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.91/191.91 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__def,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 <=> ! [B_x,B_y] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => ! [B_z] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => 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)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_transD,axiom,
% 191.91/191.91 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => ( 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))
% 191.91/191.91 => ( 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))
% 191.91/191.91 => 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)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_transp__def,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Predicate_Otransp(T_b,V_r_2)
% 191.91/191.91 <=> 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))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_trans__diff__Id,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => ( c_Relation_Oantisym(T_b,V_r_2)
% 191.91/191.91 => 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))) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_antisym__converse,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.91/191.91 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_antisym__Id__on,axiom,
% 191.91/191.91 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_antisym__subset,axiom,
% 191.91/191.91 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => ( c_Relation_Oantisym(T_b,V_s_2)
% 191.91/191.91 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_transpE,axiom,
% 191.91/191.91 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 191.91/191.91 ( c_Predicate_Otransp(T_b,V_r_2)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 191.91/191.91 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_antisym__empty,axiom,
% 191.91/191.91 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_antisym__Id,axiom,
% 191.91/191.91 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_antisymD,axiom,
% 191.91/191.91 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Oantisym(T_b,V_r_2)
% 191.91/191.91 => ( 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))
% 191.91/191.91 => ( 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))
% 191.91/191.91 => V_a_2 = V_b_2 ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_antisym__def,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Oantisym(T_b,V_r_2)
% 191.91/191.91 <=> ! [B_x,B_y] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => ( 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))
% 191.91/191.91 => B_x = B_y ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_antisym__reflcl,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.91/191.91 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_equivpE,axiom,
% 191.91/191.91 ! [V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.91 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 191.91/191.91 => ( c_Predicate_Osymp(T_b,V_R_2)
% 191.91/191.91 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_equivpI,axiom,
% 191.91/191.91 ! [V_R_2,T_b] :
% 191.91/191.91 ( c_Predicate_Oreflp(T_b,V_R_2)
% 191.91/191.91 => ( c_Predicate_Osymp(T_b,V_R_2)
% 191.91/191.91 => ( c_Predicate_Otransp(T_b,V_R_2)
% 191.91/191.91 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sympE,axiom,
% 191.91/191.91 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 191.91/191.91 ( c_Predicate_Osymp(T_b,V_r_2)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 191.91/191.91 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_equivp__reflp__symp__transp,axiom,
% 191.91/191.91 ! [V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.91 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 191.91/191.91 & c_Predicate_Osymp(T_b,V_R_2)
% 191.91/191.91 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__trans__comp__subset,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_part__equivpI,axiom,
% 191.91/191.91 ! [T_b,V_R_2] :
% 191.91/191.91 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.91/191.91 => ( c_Predicate_Osymp(T_b,V_R_2)
% 191.91/191.91 => ( c_Predicate_Otransp(T_b,V_R_2)
% 191.91/191.91 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_symD,axiom,
% 191.91/191.91 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => ( 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))
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__def,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 <=> ! [B_x,B_y] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__converse,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.91/191.91 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__conv__converse__eq,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__Un__converse,axiom,
% 191.91/191.91 ! [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))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_listrel__sym,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__Id__on,axiom,
% 191.91/191.91 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_part__equivp__transp,axiom,
% 191.91/191.91 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 191.91/191.91 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_part__equivp__symp,axiom,
% 191.91/191.91 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.91/191.91 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_part__equivp__def,axiom,
% 191.91/191.91 ! [V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.91/191.91 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.91/191.91 & ! [B_x,B_y] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 191.91/191.91 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.91/191.91 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 191.91/191.91 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__Int,axiom,
% 191.91/191.91 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => ( c_Relation_Osym(T_b,V_s_2)
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_equivp__implies__part__equivp,axiom,
% 191.91/191.91 ! [V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.91 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__inv__image,axiom,
% 191.91/191.91 ! [V_f_2,T_c,V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__trancl,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__Un,axiom,
% 191.91/191.91 ! [V_s_2,V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => ( c_Relation_Osym(T_b,V_s_2)
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__Id,axiom,
% 191.91/191.91 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__rtrancl,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_sym__Int__converse,axiom,
% 191.91/191.91 ! [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))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_equivE,axiom,
% 191.91/191.91 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.91 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.91 => ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_equivI,axiom,
% 191.91/191.91 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.91 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.91 => ( c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 => ( c_Relation_Otrans(T_b,V_r_2)
% 191.91/191.91 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_equiv__def,axiom,
% 191.91/191.91 ! [V_r_2,V_A_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/191.91 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.91/191.91 & c_Relation_Osym(T_b,V_r_2)
% 191.91/191.91 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_symp__def,axiom,
% 191.91/191.91 ! [V_r_2,T_b] :
% 191.91/191.91 ( c_Predicate_Osymp(T_b,V_r_2)
% 191.91/191.91 <=> 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))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_part__equivp__refl__symp__transp,axiom,
% 191.91/191.91 ! [V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.91/191.91 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.91/191.91 & c_Predicate_Osymp(T_b,V_R_2)
% 191.91/191.91 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_part__equivpE,axiom,
% 191.91/191.91 ! [V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.91/191.91 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.91/191.91 => ( c_Predicate_Osymp(T_b,V_R_2)
% 191.91/191.91 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_part__equivp__typedef,axiom,
% 191.91/191.91 ! [V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.91/191.91 => ? [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))))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inj__iff,axiom,
% 191.91/191.91 ! [V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 <=> 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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__o__cancel,axiom,
% 191.91/191.91 ! [V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 => 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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inj__on__inv__into,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => 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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__into__image__cancel,axiom,
% 191.91/191.91 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 191.91/191.91 => 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 ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_surj__imp__inj__inv,axiom,
% 191.91/191.91 ! [V_f_2,T_b,T_c] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => 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))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__image__comp,axiom,
% 191.91/191.91 ! [V_X_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 => 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 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_image__inv__f__f,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 => 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 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inj__imp__surj__inv,axiom,
% 191.91/191.91 ! [V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 => 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)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__into__def,axiom,
% 191.91/191.91 ! [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))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__f__f,axiom,
% 191.91/191.91 ! [V_x_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 => 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 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__f__eq,axiom,
% 191.91/191.91 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 191.91/191.91 => 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 ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__into__f__f,axiom,
% 191.91/191.91 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.91 => 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 ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__into__f__eq,axiom,
% 191.91/191.91 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/191.91 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 191.91/191.91 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_image__inv__into__cancel,axiom,
% 191.91/191.91 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 191.91/191.91 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 191.91/191.91 => 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 ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_surj__iff__all,axiom,
% 191.91/191.91 ! [V_f_2,T_b,T_c] :
% 191.91/191.91 ( 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))
% 191.91/191.91 <=> ! [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 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_surj__f__inv__f,axiom,
% 191.91/191.91 ! [V_y_2,V_f_2,T_b,T_c] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => 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 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_image__surj__f__inv__f,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_b,T_c] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => 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 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__into__injective,axiom,
% 191.91/191.91 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 191.91/191.91 ( 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)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.91/191.91 => V_x_2 = V_y_2 ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__into__into,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.91/191.91 => 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)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_f__inv__into__f,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.91/191.91 => 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 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__id,axiom,
% 191.91/191.91 ! [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) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__def,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_o__inv__o__cancel,axiom,
% 191.91/191.91 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 => 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 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__into__comp,axiom,
% 191.91/191.91 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 191.91/191.91 => ( 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))))
% 191.91/191.91 => 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) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_surj__iff,axiom,
% 191.91/191.91 ! [V_f_2,T_b,T_c] :
% 191.91/191.91 ( 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))
% 191.91/191.91 <=> 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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inj__transfer,axiom,
% 191.91/191.91 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 => ( ! [B_y] :
% 191.91/191.91 ( 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)))))
% 191.91/191.91 => 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))) )
% 191.91/191.91 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_fold__image__UN__disjoint,axiom,
% 191.91/191.91 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 191.91/191.91 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.91/191.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 191.91/191.91 => ( ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 191.91/191.91 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 191.91/191.91 => ( ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 191.91/191.91 => ! [B_xa] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 191.91/191.91 => ( B_x != B_xa
% 191.91/191.91 => 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)) ) ) )
% 191.91/191.91 => 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) ) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_nat__of__induct,axiom,
% 191.91/191.91 ! [V_Pa_2,V_y_2] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.91/191.91 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 191.91/191.91 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_nat__of__cases,axiom,
% 191.91/191.91 ! [V_y_2] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.91/191.91 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_of__nat__induct,axiom,
% 191.91/191.91 ! [V_x_2,V_Pa_2] :
% 191.91/191.91 ( ! [B_y] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.91/191.91 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 191.91/191.91 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_of__nat__cases,axiom,
% 191.91/191.91 ! [V_x_2] :
% 191.91/191.91 ~ ! [B_y] :
% 191.91/191.91 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 191.91/191.91 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 191.91/191.91 ! [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 ).
% 191.91/191.91
% 191.91/191.91 fof(fact_beyond__def,axiom,
% 191.91/191.91 ! [V_l,V_k] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 191.91/191.91 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 191.91/191.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 191.91/191.91 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_beyond__zero,axiom,
% 191.91/191.91 ! [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) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__image__Collect__eq,axiom,
% 191.91/191.91 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => 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))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_curry__def,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_curryI,axiom,
% 191.91/191.91 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 191.91/191.91 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__id,axiom,
% 191.91/191.91 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_o__inv__distrib,axiom,
% 191.91/191.91 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( 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)))
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__inv__eq,axiom,
% 191.91/191.91 ! [V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => 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 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__imp__bij__inv,axiom,
% 191.91/191.91 ! [V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => 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))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inv__into__inv__into__eq,axiom,
% 191.91/191.91 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/191.91 => 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) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__inv__into,axiom,
% 191.91/191.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.91/191.91 => 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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_curry__split,axiom,
% 191.91/191.91 ! [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 ).
% 191.91/191.91
% 191.91/191.91 fof(fact_split__curry,axiom,
% 191.91/191.91 ! [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 ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__image__Compl__eq,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => 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)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__combine,axiom,
% 191.91/191.91 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.91/191.91 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 191.91/191.91 => ( 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))
% 191.91/191.91 => 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)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__Disj__Un,axiom,
% 191.91/191.91 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => ( 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))
% 191.91/191.91 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 191.91/191.91 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 191.91/191.91 => 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)) ) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bijI,axiom,
% 191.91/191.91 ! [V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 => ( 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))
% 191.91/191.91 => 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))) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__def,axiom,
% 191.91/191.91 ! [V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/191.91 & 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__id,axiom,
% 191.91/191.91 ! [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))) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__id__iff,axiom,
% 191.91/191.91 ! [V_B_2,V_A_2,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 191.91/191.91 <=> V_A_2 = V_B_2 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__finite,axiom,
% 191.91/191.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.91/191.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.91 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_BIJ,axiom,
% 191.91/191.91 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.91/191.91 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 191.91/191.91 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__empty1,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)
% 191.91/191.91 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__empty2,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__the__inv__into,axiom,
% 191.91/191.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.91/191.91 => 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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__same__card,axiom,
% 191.91/191.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.91/191.91 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__is__surj,axiom,
% 191.91/191.91 ! [V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => 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)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__imp__surj,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => 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)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__is__inj,axiom,
% 191.91/191.91 ! [V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__subset,axiom,
% 191.91/191.91 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.91 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 191.91/191.91 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__imp__inj__on,axiom,
% 191.91/191.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.91/191.91 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inj__on__imp__bij__betw,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.91 => 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)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__def,axiom,
% 191.91/191.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.91/191.91 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.91 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_finite__vimage__iff,axiom,
% 191.91/191.91 ! [V_F_2,V_h_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 191.91/191.91 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_curryD,axiom,
% 191.91/191.91 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 191.91/191.91 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_curryE,axiom,
% 191.91/191.91 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 191.91/191.91 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_curry__conv,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__comp,axiom,
% 191.91/191.91 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( 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)))
% 191.91/191.91 => 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))) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__trans,axiom,
% 191.91/191.91 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.91/191.91 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 191.91/191.91 => 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) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__comp__iff,axiom,
% 191.91/191.91 ! [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] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 191.91/191.91 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 191.91/191.91 <=> 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) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__betw__comp__iff2,axiom,
% 191.91/191.91 ! [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] :
% 191.91/191.91 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 191.91/191.91 => ( 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))
% 191.91/191.91 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 191.91/191.91 <=> 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) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__image__INT,axiom,
% 191.91/191.91 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => 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)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_vimage__subset__eq,axiom,
% 191.91/191.91 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( 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))
% 191.91/191.91 <=> 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))) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bij__vimage__eq__inv__image,axiom,
% 191.91/191.91 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => 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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 191.91/191.91 ! [V_M_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 191.91/191.91 => ? [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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Cantor__Bernstein,axiom,
% 191.91/191.91 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/191.91 => ( 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))
% 191.91/191.91 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 191.91/191.91 => ( 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))
% 191.91/191.91 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_ex__bij__betw__nat__finite,axiom,
% 191.91/191.91 ! [V_M_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 191.91/191.91 => ? [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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_ex__bij__betw__finite__nat,axiom,
% 191.91/191.91 ! [V_M_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 191.91/191.91 => ? [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))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_refl__on__UNION,axiom,
% 191.91/191.91 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 191.91/191.91 ( ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/191.91 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 191.91/191.91 => 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)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bex__reg__eqv,axiom,
% 191.91/191.91 ! [V_Pa_2,V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.91 => ( ? [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 191.91/191.91 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.91 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Respects__def,axiom,
% 191.91/191.91 ! [V_x_2,V_R_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 191.91/191.91 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_in__respects,axiom,
% 191.91/191.91 ! [V_R_2,V_x_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 191.91/191.91 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_bex__reg__right,axiom,
% 191.91/191.91 ! [V_Pa_2,V_Q_2,V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.91 => ( ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(V_Q_2,B_x))
% 191.91/191.91 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/191.91 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 191.91/191.91 => ? [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 191.91/191.91 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_babs__reg__eqv,axiom,
% 191.91/191.91 ! [V_Pa_2,T_c,V_R_2,T_b] :
% 191.91/191.91 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/191.91 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_Babs__def,axiom,
% 191.91/191.91 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 191.91/191.91 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_wf__weak__decr__stable,axiom,
% 191.91/191.91 ! [V_r_2,V_f_2,T_b] :
% 191.91/191.91 ( ! [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)))
% 191.91/191.91 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 191.91/191.91 => ? [B_i] :
% 191.91/191.91 ! [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) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_INT__greatest,axiom,
% 191.91/191.91 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 191.91/191.91 ( ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.91 => 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))) )
% 191.91/191.91 => 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))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_INT__anti__mono,axiom,
% 191.91/191.91 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/191.91 => ( ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/191.91 => 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))) )
% 191.91/191.91 => 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))) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_rtrancl__induct2,axiom,
% 191.91/191.91 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 191.91/191.91 => ( ! [B_a,B_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ! [B_aa,B_ba] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 191.91/191.91 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 191.91/191.91 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_converse__rtranclE2,axiom,
% 191.91/191.91 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( 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)
% 191.91/191.91 => ~ ! [B_a,B_b] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => ~ 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))) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_converse__rtrancl__induct2,axiom,
% 191.91/191.91 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 191.91/191.91 => ( ! [B_a,B_b,B_aa,B_ba] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => ( 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)))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 191.91/191.91 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 191.91/191.91 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_congruentI,axiom,
% 191.91/191.91 ! [T_c,V_f_2,V_r_2,T_b] :
% 191.91/191.91 ( ! [B_y,B_z] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 191.91/191.91 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_congruent2I_H,axiom,
% 191.91/191.91 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 191.91/191.91 ( ! [B_y1,B_z1] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => ! [B_y2,B_z2] :
% 191.91/191.91 ( 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))
% 191.91/191.91 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 191.91/191.91 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact__03,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_all__interval__nat__def,axiom,
% 191.91/191.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 191.91/191.91 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 191.91/191.91 <=> ! [B_x] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact__04,axiom,
% 191.91/191.91 ! [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) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_list__all__iff__all__interval__nat,axiom,
% 191.91/191.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 191.91/191.91 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 191.91/191.91 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 191.91/191.91 ! [V_j_2,V_i_2,V_Pa_2] :
% 191.91/191.91 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 191.91/191.91 <=> ~ 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) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact__05,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_folding__image_Ocong,axiom,
% 191.91/191.91 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/191.91 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 191.91/191.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.91/191.91 => ( ! [B_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/191.91 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 191.91/191.91 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact__06,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact__07,axiom,
% 191.91/191.91 ! [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) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_New__DSequence_Opos__map__def,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_power__dvd__imp__le,axiom,
% 191.91/191.91 ! [V_n,V_m,V_i] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oorder__refl,axiom,
% 191.91/191.91 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__0__right,axiom,
% 191.91/191.91 ! [V_a,T_a] :
% 191.91/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__1__left,axiom,
% 191.91/191.91 ! [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)) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__setprod,axiom,
% 191.91/191.91 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 191.91/191.91 ( class_Rings_Ocomm__semiring__1(T_c)
% 191.91/191.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 191.91/191.91 => 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))) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inf__period_I3_J,axiom,
% 191.91/191.91 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 191.91/191.91 ( ( class_Rings_Ocomm__ring(T_b)
% 191.91/191.91 & class_Rings_Odvd(T_b) )
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 191.91/191.91 => ! [B_x,B_k] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> 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))) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_inf__period_I4_J,axiom,
% 191.91/191.91 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 191.91/191.91 ( ( class_Rings_Ocomm__ring(T_b)
% 191.91/191.91 & class_Rings_Odvd(T_b) )
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 191.91/191.91 => ! [B_x,B_k] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> 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))) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__diffD,axiom,
% 191.91/191.91 ! [V_n,V_m,V_k] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__diffD1,axiom,
% 191.91/191.91 ! [V_n,V_m,V_k] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 191.91/191.91 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/191.91 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 191.91/191.91 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_power__le__dvd,axiom,
% 191.91/191.91 ! [V_m,V_b,V_n,V_a,T_a] :
% 191.91/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.91 => ( 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))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/191.91 => 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)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__power__le,axiom,
% 191.91/191.91 ! [V_m,V_n,V_y,V_x,T_a] :
% 191.91/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/191.91 => 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))) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_le__imp__power__dvd,axiom,
% 191.91/191.91 ! [V_a,V_n,V_m,T_a] :
% 191.91/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/191.91 => 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))) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_OatMost__iff,axiom,
% 191.91/191.91 ! [V_k_2,V_i_2] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_OatLeast__iff,axiom,
% 191.91/191.91 ! [V_k_2,V_i_2] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_OlessThan__iff,axiom,
% 191.91/191.91 ! [V_k_2,V_i_2] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_OgreaterThan__iff,axiom,
% 191.91/191.91 ! [V_k_2,V_i_2] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__1__iff__1,axiom,
% 191.91/191.91 ! [V_m_2] :
% 191.91/191.91 ( 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))))
% 191.91/191.91 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_nat__dvd__not__less,axiom,
% 191.91/191.91 ! [V_n,V_m] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/191.91 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__div__neg,axiom,
% 191.91/191.91 ! [V_x,V_y,T_a] :
% 191.91/191.91 ( class_Divides_Oring__div(T_a)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__neg__div,axiom,
% 191.91/191.91 ! [V_x,V_y,T_a] :
% 191.91/191.91 ( class_Divides_Oring__div(T_a)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_minus__dvd__iff,axiom,
% 191.91/191.91 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.91 ( class_Rings_Ocomm__ring__1(T_b)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 191.91/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__minus__iff,axiom,
% 191.91/191.91 ! [V_y_2,V_x_2,T_b] :
% 191.91/191.91 ( class_Rings_Ocomm__ring__1(T_b)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 191.91/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__diff__nat,axiom,
% 191.91/191.91 ! [V_n,V_m,V_k] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 191.91/191.91 => 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))) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__diff,axiom,
% 191.91/191.91 ! [V_z,V_y,V_x,T_a] :
% 191.91/191.91 ( class_Rings_Ocomm__ring__1(T_a)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 191.91/191.91 => 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))) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_div__power,axiom,
% 191.91/191.91 ! [V_n,V_x,V_y,T_a] :
% 191.91/191.91 ( class_Divides_Osemiring__div(T_a)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 191.91/191.91 => 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)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 191.91/191.91 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 191.91/191.91 ( 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)))
% 191.91/191.91 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/191.91 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 191.91/191.91 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 191.91/191.91 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 191.91/191.91 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 191.91/191.91 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__add,axiom,
% 191.91/191.91 ! [V_c,V_b,V_a,T_a] :
% 191.91/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 191.91/191.91 => 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))) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_one__dvd,axiom,
% 191.91/191.91 ! [V_a,T_a] :
% 191.91/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__asym,axiom,
% 191.91/191.91 ! [V_y,V_x] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 191.91/191.91 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__trans,axiom,
% 191.91/191.91 ! [V_z,V_y,V_x] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 191.91/191.91 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__asym_H,axiom,
% 191.91/191.91 ! [V_b,V_a] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 191.91/191.91 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__le__trans,axiom,
% 191.91/191.91 ! [V_z,V_y,V_x] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 191.91/191.91 ! [V_c,V_b,V_a] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 191.91/191.91 => ( V_b = V_c
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 191.91/191.91 ! [V_y,V_x] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 191.91/191.91 => V_y != V_x ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 191.91/191.91 ! [V_y,V_x] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 191.91/191.91 => V_x != V_y ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__imp__not__less,axiom,
% 191.91/191.91 ! [V_y,V_x] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 191.91/191.91 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__imp__le,axiom,
% 191.91/191.91 ! [V_y,V_x] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__not__sym,axiom,
% 191.91/191.91 ! [V_y,V_x] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 191.91/191.91 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oless__imp__neq,axiom,
% 191.91/191.91 ! [V_y,V_x] :
% 191.91/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 191.91/191.91 => V_x != V_y ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Ole__less__trans,axiom,
% 191.91/191.91 ! [V_z,V_y,V_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 191.91/191.91 ! [V_c,V_b,V_a] :
% 191.91/191.91 ( V_a = V_b
% 191.91/191.91 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 191.91/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oorder__trans,axiom,
% 191.91/191.91 ! [V_z,V_y,V_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oantisym,axiom,
% 191.91/191.91 ! [V_y,V_x] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 191.91/191.91 => V_x = V_y ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd__antisym,axiom,
% 191.91/191.91 ! [V_n,V_m] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 191.91/191.91 => V_m = V_n ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 191.91/191.91 ! [V_c,V_b,V_a] :
% 191.91/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 191.91/191.91 => ( V_b = V_c
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 191.91/191.91 ! [V_c,V_b,V_a] :
% 191.91/191.91 ( V_a = V_b
% 191.91/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 191.91/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 191.91/191.91
% 191.91/191.91 fof(fact_dvd_Ole__neq__trans,axiom,
% 191.91/191.91 ! [V_b,V_a] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 192.07/191.91 => ( V_a != V_b
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 192.07/191.91 ! [V_y,V_x] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 192.07/191.91 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 192.07/191.91 | V_x = V_y ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_Oantisym__conv,axiom,
% 192.07/191.91 ! [V_x_2,V_y_2] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 192.07/191.91 <=> V_x_2 = V_y_2 ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_Oeq__refl,axiom,
% 192.07/191.91 ! [V_y,V_x] :
% 192.07/191.91 ( V_x = V_y
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_Oneq__le__trans,axiom,
% 192.07/191.91 ! [V_b,V_a] :
% 192.07/191.91 ( V_a != V_b
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_Oless__le,axiom,
% 192.07/191.91 ! [V_y_2,V_x_2] :
% 192.07/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 192.07/191.91 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 192.07/191.91 & V_x_2 != V_y_2 ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_Ole__less,axiom,
% 192.07/191.91 ! [V_y_2,V_x_2] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 192.07/191.91 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 192.07/191.91 | V_x_2 = V_y_2 ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_Oeq__iff,axiom,
% 192.07/191.91 ! [V_y_2,V_x_2] :
% 192.07/191.91 ( V_x_2 = V_y_2
% 192.07/191.91 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 192.07/191.91 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__trans,axiom,
% 192.07/191.91 ! [V_c,V_b,V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__refl,axiom,
% 192.07/191.91 ! [V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__0__left,axiom,
% 192.07/191.91 ! [V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 192.07/191.91 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_div__dvd__div,axiom,
% 192.07/191.91 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_b)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 192.07/191.91 => ( 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)))
% 192.07/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__power__same,axiom,
% 192.07/191.91 ! [V_n,V_y,V_x,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 192.07/191.91 => 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))) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mod__iff,axiom,
% 192.07/191.91 ! [V_m_2,V_na_2,V_k_2,T_b] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_b)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2))
% 192.07/191.91 => ( 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)))
% 192.07/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_mod__mod__cancel,axiom,
% 192.07/191.91 ! [V_a,V_b,V_c,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 192.07/191.91 => 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) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mod,axiom,
% 192.07/191.91 ! [V_n,V_m,V_k,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mod__imp__dvd,axiom,
% 192.07/191.91 ! [V_n,V_m,V_k,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__abs__iff,axiom,
% 192.07/191.91 ! [V_k_2,V_m_2,T_b] :
% 192.07/191.91 ( class_Rings_Olinordered__idom(T_b)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 192.07/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_abs__dvd__iff,axiom,
% 192.07/191.91 ! [V_k_2,V_m_2,T_b] :
% 192.07/191.91 ( class_Rings_Olinordered__idom(T_b)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 192.07/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__if__abs__eq,axiom,
% 192.07/191.91 ! [V_k,V_l,T_a] :
% 192.07/191.91 ( class_Rings_Olinordered__idom(T_a)
% 192.07/191.91 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__reduce,axiom,
% 192.07/191.91 ! [V_na_2,V_k_2] :
% 192.07/191.91 ( 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)))
% 192.07/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_nat__dvd__1__iff__1,axiom,
% 192.07/191.91 ! [V_m_2] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 192.07/191.91 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__imp__mod__0,axiom,
% 192.07/191.91 ! [V_b,V_a,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 192.07/191.91 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__eq__mod__eq__0,axiom,
% 192.07/191.91 ! [V_b_2,V_a_2,T_b] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_b)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 192.07/191.91 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_div__add,axiom,
% 192.07/191.91 ! [V_y,V_x,V_z,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 192.07/191.91 => 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)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 192.07/191.91 ! [V_k_2,V_l_2] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 192.07/191.91 => 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)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 192.07/191.91 ! [V_a_2,V_b_2] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 192.07/191.91 => 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)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 192.07/191.91 ! [V_k_2,V_l_2] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 192.07/191.91 => 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)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 192.07/191.91 ! [V_l_2,V_k_2] :
% 192.07/191.91 ( 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))
% 192.07/191.91 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 192.07/191.91 ! [V_b_2,V_a_2] :
% 192.07/191.91 ( 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))
% 192.07/191.91 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 192.07/191.91 ! [V_l_2,V_k_2] :
% 192.07/191.91 ( 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)
% 192.07/191.91 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 192.07/191.91 ! [V_b_2,V_a_2] :
% 192.07/191.91 ( 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)
% 192.07/191.91 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 192.07/191.91 ! [V_a_2,V_b_2] :
% 192.07/191.91 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 192.07/191.91 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 192.07/191.91 => 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)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 192.07/191.91 ! [V_b_2,V_a_2] :
% 192.07/191.91 ( 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))
% 192.07/191.91 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 192.07/191.91 ! [V_b_2,V_a_2] :
% 192.07/191.91 ( 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)
% 192.07/191.91 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 192.07/191.91 ! [V_na_2,V_m_2,V_k_2] :
% 192.07/191.91 ( 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)))
% 192.07/191.91 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.07/191.91 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mult__div__cancel,axiom,
% 192.07/191.91 ! [V_b,V_a,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 192.07/191.91 => 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 ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_div__mult__swap,axiom,
% 192.07/191.91 ! [V_a,V_b,V_c,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 192.07/191.91 => 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) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__div__mult__self,axiom,
% 192.07/191.91 ! [V_b,V_a,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 192.07/191.91 => 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 ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__div__mult,axiom,
% 192.07/191.91 ! [V_c,V_b,V_a,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 192.07/191.91 => 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) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_div__mult__div__if__dvd,axiom,
% 192.07/191.91 ! [V_w,V_z,V_x,V_y,T_a] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 192.07/191.91 => 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)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mult__cancel__right,axiom,
% 192.07/191.91 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 192.07/191.91 ( class_Rings_Oidom(T_b)
% 192.07/191.91 => ( 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)))
% 192.07/191.91 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 192.07/191.91 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mult__cancel__left,axiom,
% 192.07/191.91 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 192.07/191.91 ( class_Rings_Oidom(T_b)
% 192.07/191.91 => ( 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)))
% 192.07/191.91 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 192.07/191.91 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__triv__left,axiom,
% 192.07/191.91 ! [V_b,V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => 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))) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__triv__right,axiom,
% 192.07/191.91 ! [V_b,V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => 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))) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mult2,axiom,
% 192.07/191.91 ! [V_c,V_b,V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 192.07/191.91 => 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))) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mult,axiom,
% 192.07/191.91 ! [V_b,V_c,V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 192.07/191.91 => 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))) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_mult__dvd__mono,axiom,
% 192.07/191.91 ! [V_d,V_c,V_b,V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 192.07/191.91 => 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))) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvdI,axiom,
% 192.07/191.91 ! [V_k,V_b,V_a,T_a] :
% 192.07/191.91 ( class_Rings_Odvd(T_a)
% 192.07/191.91 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mult__left,axiom,
% 192.07/191.91 ! [V_c,V_b,V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => ( 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))
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mult__right,axiom,
% 192.07/191.91 ! [V_c,V_b,V_a,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => ( 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))
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 192.07/191.91 ! [V_b_2,V_a_2] :
% 192.07/191.91 ( V_a_2 = V_b_2
% 192.07/191.91 => 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))) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 192.07/191.91 ! [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))) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 192.07/191.91 ! [V_c_2,V_b_2,V_a_2] :
% 192.07/191.91 ( 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)))
% 192.07/191.91 <=> ( V_a_2 = V_b_2
% 192.07/191.91 & V_b_2 = V_c_2 ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_unity__coeff__ex,axiom,
% 192.07/191.91 ! [V_l_2,V_Pa_2,T_b] :
% 192.07/191.91 ( ( class_Rings_Odvd(T_b)
% 192.07/191.91 & class_Rings_Osemiring__0(T_b) )
% 192.07/191.91 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 192.07/191.91 <=> ? [B_x] :
% 192.07/191.91 ( 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))))
% 192.07/191.91 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__div__div__eq__mult,axiom,
% 192.07/191.91 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_b)
% 192.07/191.91 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 192.07/191.91 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 192.07/191.91 => ( 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)
% 192.07/191.91 <=> 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) ) ) ) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__div__eq__mult,axiom,
% 192.07/191.91 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 192.07/191.91 ( class_Divides_Osemiring__div(T_b)
% 192.07/191.91 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 192.07/191.91 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 192.07/191.91 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 192.07/191.91 ! [V_y_2,V_x_2,T_b] :
% 192.07/191.91 ( ( class_Divides_Osemiring__div(T_b)
% 192.07/191.91 & class_Int_Onumber(T_b) )
% 192.07/191.91 => ( 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)))
% 192.07/191.91 <=> 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) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_setprod__dvd__setprod__subset,axiom,
% 192.07/191.91 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 192.07/191.91 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 192.07/191.91 & class_Rings_Odvd(T_c) )
% 192.07/191.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 192.07/191.91 => 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))) ) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_nat__mult__dvd__cancel1,axiom,
% 192.07/191.91 ! [V_na_2,V_m_2,V_k_2] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 192.07/191.91 => ( 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)))
% 192.07/191.91 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mult__cancel,axiom,
% 192.07/191.91 ! [V_n,V_m,V_k] :
% 192.07/191.91 ( 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)))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__imp__le,axiom,
% 192.07/191.91 ! [V_n,V_k] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 192.07/191.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 192.07/191.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__power,axiom,
% 192.07/191.91 ! [V_x,V_n,T_a] :
% 192.07/191.91 ( class_Rings_Ocomm__semiring__1(T_a)
% 192.07/191.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 192.07/191.91 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 192.07/191.91 => 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))) ) ) ).
% 192.07/191.91
% 192.07/191.91 fof(fact_dvd__mult__cancel2,axiom,
% 192.07/191.91 ! [V_na_2,V_m_2] :
% 192.07/191.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 192.07/191.91 => ( 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))
% 192.07/191.91 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 192.07/191.91
% 192.07/191.91 %----Arity declarations (220)
% 192.07/191.91 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 192.07/191.91 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Lattices_Obounded__lattice(T_1)
% 192.07/191.91 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 192.07/191.91 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Lattices_Obounded__lattice(T_1)
% 192.07/191.91 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Lattices_Obounded__lattice(T_1)
% 192.07/191.91 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Lattices_Olattice(T_1)
% 192.07/191.91 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Lattices_Olattice(T_1)
% 192.07/191.91 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Lattices_Odistrib__lattice(T_1)
% 192.07/191.91 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Lattices_Oboolean__algebra(T_1)
% 192.07/191.91 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Orderings_Opreorder,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Orderings_Opreorder(T_1)
% 192.07/191.91 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 192.07/191.91 ! [T_1,T_2] :
% 192.07/191.91 ( ( class_Finite__Set_Ofinite(T_2)
% 192.07/191.91 & class_Finite__Set_Ofinite(T_1) )
% 192.07/191.91 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Lattices_Olattice,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Lattices_Olattice(T_1)
% 192.07/191.91 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Orderings_Oorder,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Orderings_Oorder(T_1)
% 192.07/191.91 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Orderings_Otop,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Orderings_Otop(T_1)
% 192.07/191.91 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Orderings_Oord,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Orderings_Oord(T_1)
% 192.07/191.91 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Orderings_Obot,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Orderings_Obot(T_1)
% 192.07/191.91 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Groups_Ouminus,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Groups_Ouminus(T_1)
% 192.07/191.91 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Groups_Ominus,axiom,
% 192.07/191.91 ! [T_2,T_1] :
% 192.07/191.91 ( class_Groups_Ominus(T_1)
% 192.07/191.91 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_fun__Enum_Oenum,axiom,
% 192.07/191.91 ! [T_1,T_2] :
% 192.07/191.91 ( ( class_Enum_Oenum(T_2)
% 192.07/191.91 & class_Enum_Oenum(T_1) )
% 192.07/191.91 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 192.07/191.91 class_Nat_Osize(tc_Com_Ocom) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 192.07/191.91 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 192.07/191.91 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 192.07/191.91 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 192.07/191.91 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 192.07/191.91 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 192.07/191.91 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 192.07/191.91 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 192.07/191.91 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 192.07/191.91 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 192.07/191.91 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 192.07/191.91 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 192.07/191.91 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 192.07/191.91 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 192.07/191.91 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 192.07/191.91 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 192.07/191.91 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 192.07/191.91 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 192.07/191.91 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 192.07/191.91 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 192.07/191.91 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 192.07/191.91 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 192.07/191.91 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 192.07/191.91 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 192.07/191.91 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 192.07/191.91 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 192.07/191.91 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 192.07/191.91 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 192.07/191.91 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 192.07/191.91 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 192.07/191.91 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 192.07/191.91 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 192.07/191.91 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 192.07/191.91 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 192.07/191.91 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 192.07/191.91 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 192.07/191.91 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 192.07/191.91 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 192.07/191.91 class_Orderings_Opreorder(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 192.07/191.91 class_Orderings_Olinorder(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 192.07/191.91 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 192.07/191.91 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 192.07/191.91 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 192.07/191.91 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 192.07/191.91 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 192.07/191.91 class_Lattices_Olattice(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 192.07/191.91 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 192.07/191.91 class_Divides_Oring__div(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 192.07/191.91 class_Rings_Omult__zero(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 192.07/191.91 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 192.07/191.91 class_Orderings_Oorder(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 192.07/191.91 class_Int_Oring__char__0(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 192.07/191.91 class_Int_Onumber__ring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 192.07/191.91 class_Rings_Osemiring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 192.07/191.91 class_Orderings_Oord(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 192.07/191.91 class_Groups_Ouminus(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 192.07/191.91 class_Groups_Osgn__if(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 192.07/191.91 class_Groups_Oabs__if(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 192.07/191.91 class_Rings_Oring__1(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 192.07/191.91 class_Groups_Ominus(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Power_Opower,axiom,
% 192.07/191.91 class_Power_Opower(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 192.07/191.91 class_Groups_Ozero(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oring,axiom,
% 192.07/191.91 class_Rings_Oring(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 192.07/191.91 class_Rings_Oidom(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Int_Onumber,axiom,
% 192.07/191.91 class_Int_Onumber(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Groups_Oone,axiom,
% 192.07/191.91 class_Groups_Oone(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 192.07/191.91 class_Rings_Odvd(tc_Int_Oint) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 192.07/191.91 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 192.07/191.91 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 192.07/191.91 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 192.07/191.91 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 192.07/191.91 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 192.07/191.91 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 192.07/191.91 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 192.07/191.91 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 192.07/191.91 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 192.07/191.91 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 192.07/191.91 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 192.07/191.91 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 192.07/191.91 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 192.07/191.91 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 192.07/191.91 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 192.07/191.91 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 192.07/191.91 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 192.07/191.91 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 192.07/191.91 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 192.07/191.91 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 192.07/191.91 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 192.07/191.91 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 192.07/191.91 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 192.07/191.91 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 192.07/191.91 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 192.07/191.91 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 192.07/191.91 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 192.07/191.91 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 192.07/191.91 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 192.07/191.91 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 192.07/191.91 class_Lattices_Olattice(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 192.07/191.91 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 192.07/191.91 class_Orderings_Oorder(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 192.07/191.91 class_Rings_Osemiring(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 192.07/191.91 class_Orderings_Oord(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 192.07/191.91 class_Orderings_Obot(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 192.07/191.91 class_Groups_Ominus(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Power_Opower,axiom,
% 192.07/191.91 class_Power_Opower(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 192.07/191.91 class_Groups_Ozero(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 192.07/191.91 class_Int_Onumber(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 192.07/191.91 class_Groups_Oone(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 192.07/191.91 class_Rings_Odvd(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 192.07/191.91 class_Nat_Osize(tc_Nat_Onat) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 192.07/191.91 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 192.07/191.91 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 192.07/191.91 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 192.07/191.91 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 192.07/191.91 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 192.07/191.91 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 192.07/191.91 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 192.07/191.91 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 192.07/191.91 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 192.07/191.91 class_Lattices_Olattice(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 192.07/191.91 class_Orderings_Oorder(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 192.07/191.91 class_Orderings_Otop(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 192.07/191.91 class_Orderings_Oord(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 192.07/191.91 class_Orderings_Obot(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 192.07/191.91 class_Groups_Ouminus(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 192.07/191.91 class_Groups_Ominus(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 192.07/191.91 class_Enum_Oenum(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 192.07/191.91 class_Nat_Osize(tc_HOL_Obool) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 192.07/191.91 ! [T_1] :
% 192.07/191.91 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 192.07/191.91 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_List__Olist__Nat_Osize,axiom,
% 192.07/191.91 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 192.07/191.91 ! [T_1,T_2] :
% 192.07/191.91 ( ( class_Finite__Set_Ofinite(T_2)
% 192.07/191.91 & class_Finite__Set_Ofinite(T_1) )
% 192.07/191.91 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_sum__Enum_Oenum,axiom,
% 192.07/191.91 ! [T_1,T_2] :
% 192.07/191.91 ( ( class_Enum_Oenum(T_2)
% 192.07/191.91 & class_Enum_Oenum(T_1) )
% 192.07/191.91 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_sum__Nat_Osize,axiom,
% 192.07/191.91 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 192.07/191.91 ! [T_1] :
% 192.07/191.91 ( class_Finite__Set_Ofinite(T_1)
% 192.07/191.91 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 192.07/191.91 ! [T_1] :
% 192.07/191.91 ( class_Enum_Oenum(T_1)
% 192.07/191.91 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 192.07/191.91 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 192.07/191.91 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 192.07/191.91 ! [T_1,T_2] :
% 192.07/191.91 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 192.07/191.91 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 192.07/191.91 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 192.07/191.91 ! [T_1,T_2] :
% 192.07/191.91 ( ( class_Finite__Set_Ofinite(T_2)
% 192.07/191.91 & class_Finite__Set_Ofinite(T_1) )
% 192.07/191.91 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_prod__Enum_Oenum,axiom,
% 192.07/191.91 ! [T_1,T_2] :
% 192.07/191.91 ( ( class_Enum_Oenum(T_2)
% 192.07/191.91 & class_Enum_Oenum(T_1) )
% 192.07/191.91 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_prod__Nat_Osize,axiom,
% 192.07/191.91 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 192.07/191.91 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 192.07/191.91 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 192.07/191.91 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 192.07/191.91 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 192.07/191.91 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 192.07/191.91 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 192.07/191.91 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 192.07/191.91 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 192.07/191.91 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 192.07/191.91 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 192.07/191.91 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 192.07/191.91 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 192.07/191.91 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 192.07/191.91 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 192.07/191.91 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 192.07/191.91 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 192.07/191.91 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 192.07/191.91 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 192.07/191.91 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 192.07/191.91 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 192.07/191.91 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 192.07/191.91 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 192.07/191.91 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 192.07/191.91 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 192.07/191.91 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 192.07/191.91 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 192.07/191.91 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 192.07/191.91 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 192.07/191.91 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 192.07/191.91 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 192.07/191.91 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 192.07/191.91 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 192.07/191.91 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 192.07/191.91 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 192.07/191.91 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 192.07/191.91 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 192.07/191.91 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 192.07/191.91 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 192.07/191.91 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 192.07/191.91 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 192.07/191.91 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 192.07/191.91 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 192.07/191.91
% 192.07/191.91 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 192.07/191.91 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 192.07/191.91
% 192.07/191.91 %----Helper facts (20)
% 192.07/191.91 fof(help_c__COMBI__1,axiom,
% 192.07/191.91 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__COMBK__1,axiom,
% 192.07/191.91 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__COMBB__1,axiom,
% 192.07/191.91 ! [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)) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__COMBC__1,axiom,
% 192.07/191.91 ! [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) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__COMBS__1,axiom,
% 192.07/191.91 ! [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)) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fequal__1,axiom,
% 192.07/191.91 ! [V_y_2,V_x_2] :
% 192.07/191.91 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 192.07/191.91 | V_x_2 = V_y_2 ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fequal__2,axiom,
% 192.07/191.91 ! [V_y_2,V_x_2] :
% 192.07/191.91 ( V_x_2 != V_y_2
% 192.07/191.91 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fFalse__1,axiom,
% 192.07/191.91 ~ hBOOL(c_fFalse) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fTrue__1,axiom,
% 192.07/191.91 hBOOL(c_fTrue) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fNot__1,axiom,
% 192.07/191.91 ! [V_Pa_2] :
% 192.07/191.91 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 192.07/191.91 | ~ hBOOL(V_Pa_2) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fNot__2,axiom,
% 192.07/191.91 ! [V_Pa_2] :
% 192.07/191.91 ( ~ ~ hBOOL(V_Pa_2)
% 192.07/191.91 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fconj__1,axiom,
% 192.07/191.91 ! [V_Q_2,V_Pa_2] :
% 192.07/191.91 ( ~ hBOOL(V_Pa_2)
% 192.07/191.91 | ~ hBOOL(V_Q_2)
% 192.07/191.91 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fconj__2,axiom,
% 192.07/191.91 ! [V_Q_2,V_Pa_2] :
% 192.07/191.91 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 192.07/191.91 | hBOOL(V_Pa_2) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fconj__3,axiom,
% 192.07/191.91 ! [V_Q_2,V_Pa_2] :
% 192.07/191.91 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 192.07/191.91 | hBOOL(V_Q_2) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fdisj__1,axiom,
% 192.07/191.91 ! [V_Q_2,V_Pa_2] :
% 192.07/191.91 ( ~ hBOOL(V_Pa_2)
% 192.07/191.91 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fdisj__2,axiom,
% 192.07/191.91 ! [V_Pa_2,V_Q_2] :
% 192.07/191.91 ( ~ hBOOL(V_Q_2)
% 192.07/191.91 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fdisj__3,axiom,
% 192.07/191.91 ! [V_Q_2,V_Pa_2] :
% 192.07/191.91 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2))
% 192.07/191.91 | hBOOL(V_Pa_2)
% 192.07/191.91 | hBOOL(V_Q_2) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fimplies__1,axiom,
% 192.07/191.91 ! [V_Q_2,V_Pa_2] :
% 192.07/191.91 ( hBOOL(V_Pa_2)
% 192.07/191.91 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fimplies__2,axiom,
% 192.07/191.91 ! [V_Pa_2,V_Q_2] :
% 192.07/191.91 ( ~ hBOOL(V_Q_2)
% 192.07/191.91 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 192.07/191.91
% 192.07/191.91 fof(help_c__fimplies__3,axiom,
% 192.07/191.91 ! [V_Q_2,V_Pa_2] :
% 192.07/191.91 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2))
% 192.07/191.91 | ~ hBOOL(V_Pa_2)
% 192.07/191.91 | hBOOL(V_Q_2) ) ).
% 192.07/191.91
% 192.07/191.91 %----Conjectures (4)
% 192.07/191.91 fof(conj_0,hypothesis,
% 192.07/191.91 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)) ).
% 192.07/191.91
% 192.07/191.91 fof(conj_1,hypothesis,
% 192.07/191.91 v_wt(v_c) ).
% 192.07/191.91
% 192.07/191.91 fof(conj_2,hypothesis,
% 192.07/191.91 v_G = hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) ).
% 192.07/191.91
% 192.07/191.91 fof(conj_3,conjecture,
% 192.07/191.91 v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(v_c)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ).
% 192.07/191.91
% 192.07/191.91 %------------------------------------------------------------------------------
% 192.07/191.91 %-------------------------------------------
% 192.07/191.91 % Proof found
% 192.07/191.91 % SZS status Theorem for theBenchmark
% 192.07/191.91 % SZS output start Proof
% 192.07/191.91 %ClaNum:10405(EqnAxiom:3044)
% 192.07/191.91 %VarNum:70821(SingletonVarNum:20421)
% 192.07/191.91 %MaxLitNum:8
% 192.07/191.91 %MaxfuncDepth:13
% 192.07/191.91 %SharedTerms:1005
% 192.07/191.91 %goalClause: 4635
% 192.07/191.91 %singleGoalClaCount:1
% 192.07/191.91 [3048]P1(a901)
% 192.07/191.91 [3049]P2(a177)
% 192.07/191.91 [3050]P3(a898)
% 192.07/191.91 [3051]P3(a902)
% 192.07/191.91 [3052]P65(a898)
% 192.07/191.91 [3053]P65(a903)
% 192.07/191.91 [3054]P65(a1)
% 192.07/191.91 [3055]P65(a89)
% 192.07/191.91 [3056]P66(a898)
% 192.07/191.91 [3057]P66(a903)
% 192.07/191.91 [3058]P107(a898)
% 192.07/191.91 [3059]P107(a903)
% 192.07/191.91 [3060]P107(a1)
% 192.07/191.91 [3061]P107(a89)
% 192.07/191.91 [3062]P108(a903)
% 192.07/191.91 [3063]P108(a1)
% 192.07/191.91 [3064]P108(a89)
% 192.07/191.91 [3065]P109(a898)
% 192.07/191.91 [3066]P109(a903)
% 192.07/191.91 [3067]P109(a1)
% 192.07/191.91 [3068]P109(a89)
% 192.07/191.91 [3069]P67(a898)
% 192.07/191.91 [3070]P67(a903)
% 192.07/191.91 [3071]P67(a1)
% 192.07/191.91 [3072]P67(a89)
% 192.07/191.91 [3073]P79(a1)
% 192.07/191.91 [3074]P68(a1)
% 192.07/191.91 [3075]P69(a903)
% 192.07/191.91 [3076]P69(a1)
% 192.07/191.91 [3077]P69(a89)
% 192.07/191.91 [3078]P80(a903)
% 192.07/191.91 [3079]P80(a1)
% 192.07/191.91 [3080]P80(a89)
% 192.07/191.91 [3081]P71(a903)
% 192.07/191.91 [3082]P71(a1)
% 192.07/191.91 [3083]P71(a89)
% 192.07/191.91 [3084]P81(a903)
% 192.07/191.91 [3085]P81(a1)
% 192.07/191.91 [3086]P81(a89)
% 192.07/191.91 [3087]P110(a903)
% 192.07/191.91 [3088]P110(a1)
% 192.07/191.91 [3089]P110(a89)
% 192.07/191.91 [3090]P72(a903)
% 192.07/191.91 [3091]P72(a1)
% 192.07/191.91 [3092]P72(a89)
% 192.07/191.91 [3093]P73(a903)
% 192.07/191.91 [3094]P73(a1)
% 192.07/191.91 [3095]P73(a89)
% 192.07/191.91 [3096]P70(a903)
% 192.07/191.91 [3097]P70(a1)
% 192.07/191.91 [3098]P70(a89)
% 192.07/191.91 [3099]P111(a903)
% 192.07/191.91 [3100]P111(a1)
% 192.07/191.91 [3101]P111(a89)
% 192.07/191.91 [3102]P127(a903)
% 192.07/191.91 [3103]P127(a1)
% 192.07/191.91 [3104]P127(a89)
% 192.07/191.91 [3105]P83(a903)
% 192.07/191.91 [3106]P83(a1)
% 192.07/191.91 [3107]P83(a89)
% 192.07/191.91 [3108]P84(a903)
% 192.07/191.91 [3109]P84(a1)
% 192.07/191.91 [3110]P84(a89)
% 192.07/191.91 [3111]P86(a903)
% 192.07/191.91 [3112]P86(a1)
% 192.07/191.91 [3113]P86(a89)
% 192.07/191.91 [3114]P76(a1)
% 192.07/191.91 [3115]P128(a1)
% 192.07/191.91 [3116]P129(a1)
% 192.07/191.91 [3117]P117(a1)
% 192.07/191.91 [3118]P118(a903)
% 192.07/191.91 [3119]P118(a1)
% 192.07/191.91 [3120]P118(a89)
% 192.07/191.92 [3121]P143(a903)
% 192.07/191.92 [3122]P143(a1)
% 192.07/191.92 [3123]P130(a1)
% 192.07/191.92 [3124]P87(a903)
% 192.07/191.92 [3125]P87(a1)
% 192.07/191.92 [3126]P87(a89)
% 192.07/191.92 [3127]P75(a903)
% 192.07/191.92 [3128]P75(a1)
% 192.07/191.92 [3129]P75(a89)
% 192.07/191.92 [3130]P82(a903)
% 192.07/191.92 [3131]P82(a1)
% 192.07/191.92 [3132]P82(a89)
% 192.07/191.92 [3133]P77(a1)
% 192.07/191.92 [3134]P133(a903)
% 192.07/191.92 [3135]P133(a1)
% 192.07/191.92 [3136]P133(a89)
% 192.07/191.92 [3137]P140(a1)
% 192.07/191.92 [3138]P135(a903)
% 192.07/191.92 [3139]P135(a1)
% 192.07/191.92 [3140]P135(a89)
% 192.07/191.92 [3141]P144(a903)
% 192.07/191.92 [3142]P144(a1)
% 192.07/191.92 [3143]P144(a89)
% 192.07/191.92 [3144]P88(a903)
% 192.07/191.92 [3145]P88(a1)
% 192.07/191.92 [3146]P88(a89)
% 192.07/191.92 [3147]P125(a1)
% 192.07/191.92 [3148]P126(a1)
% 192.07/191.92 [3149]P136(a903)
% 192.07/191.92 [3150]P136(a1)
% 192.07/191.92 [3151]P136(a89)
% 192.07/191.92 [3152]P138(a903)
% 192.07/191.92 [3153]P138(a1)
% 192.07/191.92 [3154]P138(a89)
% 192.07/191.92 [3155]P137(a903)
% 192.07/191.92 [3156]P137(a1)
% 192.07/191.92 [3157]P137(a89)
% 192.07/191.92 [3158]P119(a903)
% 192.07/191.92 [3159]P119(a1)
% 192.07/191.92 [3160]P119(a89)
% 192.07/191.92 [3161]P134(a903)
% 192.07/191.92 [3162]P134(a1)
% 192.07/191.92 [3163]P134(a89)
% 192.07/191.92 [3164]P131(a903)
% 192.07/191.92 [3165]P131(a1)
% 192.07/191.92 [3166]P131(a89)
% 192.07/191.92 [3167]P132(a1)
% 192.07/191.92 [3168]P92(a1)
% 192.07/191.92 [3169]P93(a1)
% 192.07/191.92 [3170]P94(a903)
% 192.07/191.92 [3171]P94(a1)
% 192.07/191.92 [3172]P94(a89)
% 192.07/191.92 [3173]P141(a1)
% 192.07/191.92 [3174]P95(a903)
% 192.07/191.92 [3175]P95(a1)
% 192.07/191.92 [3176]P95(a89)
% 192.07/191.92 [3177]P145(a903)
% 192.07/191.92 [3178]P145(a1)
% 192.07/191.92 [3179]P145(a89)
% 192.07/191.92 [3180]P4(a903)
% 192.07/191.92 [3181]P4(a1)
% 192.07/191.92 [3182]P4(a89)
% 192.07/191.92 [3183]P85(a1)
% 192.07/191.92 [3184]P5(a1)
% 192.07/191.92 [3185]P139(a1)
% 192.07/191.92 [3186]P96(a898)
% 192.07/191.92 [3187]P89(a898)
% 192.07/191.92 [3188]P89(a1)
% 192.07/191.92 [3189]P120(a1)
% 192.07/191.92 [3190]P112(a1)
% 192.07/191.92 [3191]P142(a1)
% 192.07/191.92 [3192]P74(a1)
% 192.07/191.92 [3193]P113(a903)
% 192.07/191.92 [3194]P113(a1)
% 192.07/191.92 [3195]P113(a89)
% 192.07/191.92 [3196]P146(a903)
% 192.07/191.92 [3197]P146(a1)
% 192.07/191.92 [3198]P146(a89)
% 192.07/191.92 [3199]P90(a1)
% 192.07/191.92 [3200]P106(a898)
% 192.07/191.92 [3201]P106(a899)
% 192.07/191.92 [3202]P106(a903)
% 192.07/191.92 [3203]P106(a89)
% 192.07/191.92 [3204]P106(a902)
% 192.07/191.92 [3205]P106(a313)
% 192.07/191.92 [3206]P98(a898)
% 192.07/191.92 [3207]P114(a898)
% 192.07/191.92 [3208]P100(a898)
% 192.07/191.92 [3209]P101(a898)
% 192.07/191.92 [3210]P101(a903)
% 192.07/191.92 [3211]P101(a1)
% 192.07/191.92 [3212]P102(a898)
% 192.07/191.92 [3213]P102(a903)
% 192.07/191.92 [3214]P102(a1)
% 192.07/191.92 [3215]P6(a898)
% 192.07/191.92 [3216]P103(a898)
% 192.07/191.92 [3217]P103(a903)
% 192.07/191.92 [3218]P103(a1)
% 192.07/191.92 [3219]P104(a898)
% 192.07/191.92 [3220]P104(a903)
% 192.07/191.92 [3221]P104(a1)
% 192.07/191.92 [3222]P78(a903)
% 192.07/191.92 [3223]P78(a1)
% 192.07/191.92 [3224]P78(a89)
% 192.07/191.92 [3225]P115(a903)
% 192.07/191.92 [3226]P91(a903)
% 192.07/191.92 [3227]P91(a1)
% 192.07/191.92 [3228]P91(a89)
% 192.07/191.92 [3229]P60(a898)
% 192.07/191.92 [3230]P60(a902)
% 192.07/191.92 [3231]P105(a1)
% 192.07/191.92 [3232]P105(a902)
% 192.07/191.92 [3233]P116(a1)
% 192.07/191.92 [3234]P121(a903)
% 192.07/191.92 [3235]P121(a1)
% 192.07/191.92 [3236]P121(a89)
% 192.07/191.92 [3237]P99(a898)
% 192.07/191.92 [3251]P37(a903,a230)
% 192.07/191.92 [3252]P37(a903,a307)
% 192.07/191.92 [3253]P38(a903,a230)
% 192.07/191.92 [4577]~E(a87,a77)
% 192.07/191.92 [4578]~P2(a223)
% 192.07/191.92 [3045]E(f2(a1),a77)
% 192.07/191.92 [3046]E(f3(a89),a4)
% 192.07/191.92 [3047]E(f90(a89),a5)
% 192.07/191.92 [3238]E(f178(a903),f2(a903))
% 192.07/191.92 [3239]E(f78(a223),f2(a903))
% 192.07/191.92 [3240]E(f78(a177),f2(a903))
% 192.07/191.92 [3241]E(f91(a903),f224(a903))
% 192.07/191.92 [3242]E(f100(a903),f225(a903))
% 192.07/191.92 [3243]E(f92(a1),f25(a1))
% 192.07/191.92 [3244]P7(f72(a1))
% 192.07/191.92 [3245]P7(f2(a1))
% 192.07/191.92 [3299]P37(f909(a903,a903),a26)
% 192.07/191.92 [3641]E(f310(a903,a903,a230,a230),a26)
% 192.07/191.92 [4579]~E(f72(a1),f2(a1))
% 192.07/191.92 [3246]E(f101(f2(a903)),f2(a903))
% 192.07/191.92 [3247]E(f6(f2(a89)),f2(a903))
% 192.07/191.92 [3255]E(f317(f73(a1),a77),a77)
% 192.07/191.92 [3258]E(f317(a102,f2(a903)),f72(a903))
% 192.07/191.92 [3259]E(f317(a94,f72(a1)),f72(a903))
% 192.07/191.92 [3260]E(f317(a5,f72(a903)),f72(a89))
% 192.07/191.92 [3262]E(f317(a5,f2(a903)),f2(a89))
% 192.07/191.92 [3264]E(f317(f93(a1),a77),f2(a1))
% 192.07/191.92 [3265]E(f317(f93(a89),a77),f2(a89))
% 192.07/191.92 [3266]E(f317(a94,f2(a1)),f2(a903))
% 192.07/191.92 [3267]E(f317(f93(a903),a77),f2(a903))
% 192.07/191.92 [3268]E(f317(f179(a898),a223),f2(a903))
% 192.07/191.92 [3269]E(f317(f179(a898),a177),f2(a903))
% 192.07/191.92 [3275]E(f317(f73(a1),f72(a1)),a87)
% 192.07/191.92 [3283]E(f317(f179(a89),f2(a89)),f2(a903))
% 192.07/191.92 [3284]E(f317(f90(a1),f72(a903)),f72(a1))
% 192.07/191.92 [3285]E(f317(f90(a1),f2(a903)),f2(a1))
% 192.07/191.92 [3286]E(f317(f73(a1),f2(a1)),f2(a1))
% 192.07/191.92 [3296]E(f317(a94,f72(a1)),f317(a102,f2(a903)))
% 192.07/191.92 [3297]E(f308(f909(a903,a903),a26),a27)
% 192.07/191.92 [3298]E(f309(f909(a903,a903),a26),a28)
% 192.07/191.92 [3300]P2(f317(f29(a900),a911))
% 192.07/191.92 [3326]E(f317(f272(a903),f2(a903)),f178(f910(a903,a898)))
% 192.07/191.92 [3327]E(f317(f273(a903),f2(a903)),f232(f910(a903,a898)))
% 192.07/191.92 [3335]P40(f178(f910(a1,a898)))
% 192.07/191.92 [3369]E(f317(f317(f3(a89),f2(a89)),f72(a89)),f2(a89))
% 192.07/191.92 [3444]P2(f317(f317(f227(a1),a87),f2(a1)))
% 192.07/191.92 [3464]E(f317(f300(a900,a897,a913),a911),a912)
% 192.07/191.92 [3469]P2(f317(f317(f226(a1),f2(a1)),f72(a1)))
% 192.07/191.92 [3471]P2(f317(f317(f227(a1),f2(a1)),f72(a1)))
% 192.07/191.92 [3672]E(f317(f317(f279(a903,a903,a903),a307),f297(a903,a307)),a230)
% 192.07/191.92 [3709]P41(a1,a903,a94,f317(f226(a1),f2(a1)))
% 192.07/191.92 [3713]E(f317(f317(f35(a903,f910(a903,a898)),f232(f910(a903,a898))),f294(a903)),f178(f910(a903,a898)))
% 192.07/191.92 [3714]E(f317(f317(f36(a903,f910(a903,a898)),f232(f910(a903,a898))),f291(a903)),f232(f910(a903,a898)))
% 192.07/191.92 [3715]E(f317(f317(f36(a903,f910(a903,a898)),f232(f910(a903,a898))),f272(a903)),f232(f910(a903,a898)))
% 192.07/191.92 [3716]E(f317(f317(f36(a903,f910(a903,a898)),f232(f910(a903,a898))),f273(a903)),f232(f910(a903,a898)))
% 192.07/191.92 [3731]P25(a903,a1,f90(a1),f232(f910(a903,a898)))
% 192.07/191.92 [3745]P41(a903,a1,f90(a1),f317(f18(a898,a903),a177))
% 192.07/191.92 [3880]E(f317(f67(a903,a89,a1,a5),a94),f93(a89))
% 192.07/191.92 [4099]P56(a89,a903,a22,a5,f232(f910(a903,a898)))
% 192.07/191.92 [4103]P56(a1,f910(f909(a903,a903),a898),a97,a83,a88)
% 192.07/191.92 [4357]E(f248(a1,a1,a1,a1,f25(a1),f73(a1)),a47)
% 192.07/191.92 [4588]~E(f317(f93(a1),a87),f317(f93(a1),a77))
% 192.07/191.92 [4589]~P2(f317(a183,f72(a1)))
% 192.07/191.92 [4590]~P2(f317(a183,f2(a1)))
% 192.07/191.92 [4615]~P2(f317(f317(f227(a1),a77),f2(a1)))
% 192.07/191.92 [3318]E(f317(f317(f3(a1),a87),a87),a77)
% 192.07/191.92 [3333]E(f317(f90(a1),f317(a102,f2(a903))),f72(a1))
% 192.07/191.92 [3398]E(f317(f30(a902),f232(f910(a902,a898))),f72(a903))
% 192.07/191.92 [3418]P2(f317(a183,f317(f93(a1),a87)))
% 192.07/191.92 [3420]P2(f317(f317(f226(a1),a87),a77))
% 192.07/191.92 [3422]P2(f317(f317(f227(a1),a87),a77))
% 192.07/191.92 [3479]E(f317(f317(f299(a903),f2(a903)),f178(f910(a903,a898))),f317(f291(a903),f2(a903)))
% 192.07/191.92 [3532]P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),a77)))
% 192.07/191.92 [3544]E(f317(f300(a903,a903,a102),f232(f910(a903,a898))),f317(f294(a903),f2(a903)))
% 192.07/191.92 [3579]P9(f909(a903,a903),f232(f910(f909(a903,a903),a898)),a98)
% 192.07/191.92 [3887]E(f317(f67(a903,a1,a89,f90(a1)),a22),a24)
% 192.07/191.92 [3946]P37(a903,f317(f252(f909(a903,a903)),f317(f247(a903,a903,a898),f227(a903))))
% 192.07/191.92 [4606]~P2(f317(a183,f317(f93(a1),a77)))
% 192.07/191.92 [4607]~P2(f317(f317(f226(a1),a77),a87))
% 192.07/191.92 [4608]~P2(f317(f317(f227(a1),a77),a77))
% 192.07/191.92 [4609]~P2(f317(f317(f227(a1),a77),a87))
% 192.07/191.92 [4610]~P2(f317(f317(f227(a1),a87),a87))
% 192.07/191.92 [4619]~P2(f317(f29(a903),f232(f910(a903,a898))))
% 192.07/191.92 [4620]~P2(f317(f29(a1),f232(f910(a1,a898))))
% 192.07/191.92 [4635]~P149(f317(f300(a900,a897,a913),a911),f317(f317(f299(a897),f914(a901)),f178(f910(a897,a898))))
% 192.07/191.92 [4523]E(f317(f247(a1,a1,a898),f317(f317(f10(f910(a1,a898),f910(a1,a898),a1),f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f227(a1),f2(a1))))),f317(f317(f9(a1,a1,f910(a1,a898)),f317(f317(f10(f910(a1,f910(a1,a898)),f910(a1,f910(a1,a898)),a1),f9(a1,a1,a898)),f317(f317(f10(f910(a1,a1),f910(a1,f910(a1,a898)),a1),f317(f10(a1,f910(a1,a898),a1),a314)),a207))),f72(a1)))),a203)
% 192.07/191.92 [3616]E(f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f73(a1),a87))
% 192.07/191.92 [3654]E(f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f317(f3(a1),a77),a87))
% 192.07/191.92 [3814]E(f317(f317(f56(f909(a903,a903)),f232(f910(f909(a903,a903),a898))),a98),a88)
% 192.07/191.92 [3843]E(f317(f93(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a1))
% 192.07/191.92 [3844]E(f317(f93(a89),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a89))
% 192.07/191.92 [3845]E(f317(f93(a903),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a903))
% 192.07/191.92 [3848]E(f317(f93(a903),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(a102,f2(a903)))
% 192.07/191.92 [4225]E(f317(f317(f100(f910(f909(f909(a903,a903),f909(a903,a903)),a898)),a26),f297(f909(a903,a903),f178(f910(f909(f909(a903,a903),f909(a903,a903)),a898)))),a65)
% 192.07/191.92 [4291]E(f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),f72(a903)),f2(a903))),f178(f910(f909(a903,a903),a898))))),f72(a1))
% 192.07/191.92 [4292]E(f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),f2(a903)),f2(a903))),f178(f910(f909(a903,a903),a898))))),f2(a1))
% 192.07/191.92 [4305]E(f317(f252(f909(a903,a903)),f317(f247(a903,a903,a898),f317(f317(f10(a903,f910(a903,a898),a903),f317(f9(a903,a903,a898),a314)),a102))),a307)
% 192.07/191.92 [4277]E(f317(f93(a903),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(a903))))
% 192.07/191.92 [4280]E(f317(f93(a903),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(a903),f72(a903)),f72(a903)))
% 192.07/191.92 [4281]E(f317(f93(a903),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(f30(a898),f232(f910(a898,a898))))
% 192.07/191.92 [4344]P7(f317(f93(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))))
% 192.07/191.92 [4413]P27(f910(f909(a903,a903),a898),f317(f317(f242(f910(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),a898),f910(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),a898)),a27),a66))
% 192.07/191.92 [4414]P27(f910(f909(a903,a903),a898),f317(f317(f242(f910(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),a898),f910(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),a898)),a28),a64))
% 192.07/191.92 [4454]E(f317(f317(f100(f910(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),a898)),f309(f909(a903,a903),a65)),f317(f317(f299(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),f178(f910(f909(a903,a903),a898))),f178(f910(f909(a903,a903),a898)))),f178(f910(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),a898)))),a64)
% 192.07/191.92 [4455]E(f317(f317(f100(f910(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),a898)),f308(f909(a903,a903),a65)),f317(f317(f299(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),f178(f910(f909(a903,a903),a898))),f178(f910(f909(a903,a903),a898)))),f178(f910(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),a898)))),a66)
% 192.07/191.92 [4346]E(f317(a94,f317(f93(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(a903))))
% 192.07/191.92 [4391]E(f317(f90(a1),f317(f93(a903),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(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))))
% 192.07/191.92 [4424]P2(f317(f317(f226(a1),f2(a1)),f317(f93(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)))))
% 192.07/191.92 [4425]E(f317(f93(a903),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(a903)))))
% 192.07/191.92 [4469]P7(f317(f93(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)))
% 192.07/191.92 [4495]E(f317(f90(a1),f317(f93(a903),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(f93(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)))
% 192.07/191.92 [4508]P2(f317(f317(f226(a1),f2(a1)),f317(f93(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))))
% 192.07/191.92 [3254]P8(x32541,a314)
% 192.07/191.92 [3642]P25(a903,a903,a102,x36421)
% 192.07/191.92 [3248]P106(f906(x32481))
% 192.07/191.92 [3249]P106(f904(x32491))
% 192.07/191.92 [3250]P106(f905(x32501))
% 192.07/191.92 [3270]P37(a1,f95(x32701))
% 192.07/191.92 [3271]P37(a1,f96(x32711))
% 192.07/191.92 [3322]P37(f910(x33221,a898),f304(x33221))
% 192.07/191.92 [3323]P38(f910(x33231,a898),f304(x33231))
% 192.07/191.92 [3347]E(f233(x33471,x33471,a314),a314)
% 192.07/191.92 [3362]E(f41(a1,x33621,x33621),f2(a1))
% 192.07/191.92 [3415]P15(x34151,f910(x34151,a898),f299(x34151))
% 192.07/191.92 [4581]~E(f317(a102,x45811),x45811)
% 192.07/191.92 [4587]~E(f317(a102,x45871),f2(a903))
% 192.07/191.92 [3256]E(f317(f93(a1),x32561),x32561)
% 192.07/191.92 [3257]E(f317(f179(a903),x32571),x32571)
% 192.07/191.92 [3272]E(f317(a83,f318(x32721)),x32721)
% 192.07/191.92 [3273]E(f317(a5,f659(x32731)),x32731)
% 192.07/191.92 [3274]E(f231(x32741,f2(a89)),f2(a89))
% 192.07/191.92 [3287]E(f104(x32871,f103(x32871)),f103(x32871))
% 192.07/191.92 [3288]E(f142(x32881,f103(x32881)),f103(x32881))
% 192.07/191.92 [3293]E(f317(f157(x32931),f103(x32931)),f103(x32931))
% 192.07/191.92 [3294]E(f317(f161(x32941),f103(x32941)),f103(x32941))
% 192.07/191.92 [3295]E(f317(f158(x32951),f103(x32951)),f103(x32951))
% 192.07/191.92 [3301]E(f317(f93(a1),x33011),f317(f92(a1),x33011))
% 192.07/191.92 [3302]E(f317(a83,f317(a97,x33021)),x33021)
% 192.07/191.92 [3304]E(f317(a5,f317(a22,x33041)),x33041)
% 192.07/191.92 [3305]E(f317(a22,f317(a5,x33051)),x33051)
% 192.07/191.92 [3307]P7(f317(f90(a1),x33071))
% 192.07/191.92 [3316]E(f317(f179(f904(x33161)),f103(x33161)),f2(a903))
% 192.07/191.92 [3317]E(f317(f179(f905(x33171)),f109(x33171)),f2(a903))
% 192.07/191.92 [3338]E(f317(f317(f3(a903),x33381),f2(a903)),x33381)
% 192.07/191.92 [3339]E(f317(f317(f75(a903),x33391),f72(a903)),x33391)
% 192.07/191.92 [3340]E(f317(f317(f75(a1),x33401),f72(a1)),x33401)
% 192.07/191.92 [3341]E(f317(f317(f74(a903),x33411),f2(a903)),x33411)
% 192.07/191.92 [3342]E(f317(f317(f74(a1),x33421),f2(a1)),x33421)
% 192.07/191.92 [3343]E(f317(f317(f225(a903),x33431),f2(a903)),x33431)
% 192.07/191.92 [3344]E(f317(f317(f75(a903),x33441),f2(a903)),f2(a903))
% 192.07/191.92 [3345]E(f317(f317(f31(a1),x33451),f2(a1)),f2(a1))
% 192.07/191.92 [3346]E(f317(f317(f224(a903),x33461),f2(a903)),f2(a903))
% 192.07/191.92 [3353]E(f317(f162(x33531),f103(x33531)),f178(f910(x33531,a898)))
% 192.07/191.92 [3357]P2(f317(f127(x33571),f103(x33571)))
% 192.07/191.92 [3363]E(f317(f144(x33631,x33631),f7(x33631)),f25(f904(x33631)))
% 192.07/191.92 [3364]E(f317(f144(x33641,x33641),f25(x33641)),f25(f904(x33641)))
% 192.07/191.92 [3365]E(f41(a1,x33651,f2(a1)),x33651)
% 192.07/191.92 [3366]E(f317(f226(a903),f317(a102,x33661)),f317(f227(a903),x33661))
% 192.07/191.92 [3367]E(f317(f272(a903),f317(a102,x33671)),f317(f291(a903),x33671))
% 192.07/191.92 [3368]E(f317(f273(a903),f317(a102,x33681)),f317(f294(a903),x33681))
% 192.07/191.92 [3370]E(f41(a1,f2(a1),x33701),f2(a1))
% 192.07/191.92 [3383]E(f317(f317(f74(a903),x33831),f72(a903)),f317(a102,x33831))
% 192.07/191.92 [3392]E(f317(f292(a903,x33921),f2(a903)),f178(f910(a903,a898)))
% 192.07/191.92 [3404]E(f293(a903,f2(a903),x34041),f317(f291(a903),x34041))
% 192.07/191.92 [3447]E(f317(f317(f3(a903),f317(a102,x34471)),f72(a903)),x34471)
% 192.07/191.92 [3459]E(f43(f2(a1),x34591),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))
% 192.07/191.92 [3507]P2(f317(f317(f227(a903),x35071),f317(a102,x35071)))
% 192.07/191.92 [3519]P2(f317(f317(f227(a903),f2(a903)),f317(a102,x35191)))
% 192.07/191.92 [3744]E(f85(x37441,x37441,f232(f910(x37441,a898)),f25(x37441)),f25(x37441))
% 192.07/191.92 [3801]E(f317(f317(f3(a89),f317(a5,f317(a102,f317(a22,x38011)))),f72(a89)),x38011)
% 192.07/191.92 [3871]P2(f317(f317(f226(a1),f317(f73(a1),f317(f90(a1),x38711))),f2(a1)))
% 192.07/191.92 [4014]P2(f317(f317(f227(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40141)))),f2(a1)))
% 192.07/191.92 [4595]~E(f232(f910(x45951,a898)),f178(f910(x45951,a898)))
% 192.07/191.92 [4618]~P2(f317(f317(f227(a903),x46181),f2(a903)))
% 192.07/191.92 [4629]~P2(f317(f317(f227(a1),f317(f90(a1),x46291)),f2(a1)))
% 192.07/191.92 [3306]E(f110(x33061,f109(f905(x33061))),f109(x33061))
% 192.07/191.92 [3321]E(f169(x33211,f103(f904(x33211))),f103(f904(x33211)))
% 192.07/191.92 [3324]E(f317(f317(f75(a1),a77),x33241),a77)
% 192.07/191.92 [3325]E(f317(f317(f74(a1),a77),x33251),x33251)
% 192.07/191.92 [3328]E(f317(a94,f317(f90(a1),x33281)),x33281)
% 192.07/191.92 [3329]E(f317(f317(f3(a1),x33291),a77),x33291)
% 192.07/191.92 [3330]E(f317(f317(f74(a1),x33301),a77),x33301)
% 192.07/191.92 [3332]E(f317(f317(f3(a903),x33321),x33321),f2(a903))
% 192.07/191.92 [3336]E(f317(f30(a903),f317(f272(a903),x33361)),x33361)
% 192.07/191.92 [3337]E(f317(f73(a1),f317(f73(a1),x33371)),x33371)
% 192.07/191.92 [3348]E(f317(f317(f75(a903),f72(a903)),x33481),x33481)
% 192.07/191.92 [3349]E(f317(f317(f75(a1),f72(a1)),x33491),x33491)
% 192.07/191.92 [3350]E(f317(f317(f74(a903),f2(a903)),x33501),x33501)
% 192.07/191.92 [3351]E(f317(f317(f74(a1),f2(a1)),x33511),x33511)
% 192.07/191.92 [3352]E(f317(f317(f225(a903),f2(a903)),x33521),x33521)
% 192.07/191.92 [3358]E(f317(f317(f3(a903),f2(a903)),x33581),f2(a903))
% 192.07/191.92 [3359]E(f317(f317(f75(a903),f2(a903)),x33591),f2(a903))
% 192.07/191.92 [3360]E(f317(f317(f31(a1),f2(a1)),x33601),f2(a1))
% 192.07/191.92 [3361]E(f317(f317(f224(a903),f2(a903)),x33611),f2(a903))
% 192.07/191.92 [3371]E(f118(x33711,f317(f73(a1),x33711)),f122(a1,x33711))
% 192.07/191.92 [3376]E(f317(f292(a903,f2(a903)),x33761),f317(f272(a903),x33761))
% 192.07/191.92 [3377]E(f317(f317(f75(a1),a87),x33771),f317(f73(a1),x33771))
% 192.07/191.92 [3385]E(f317(a94,f317(f93(a1),x33851)),f317(f93(a903),x33851))
% 192.07/191.92 [3386]E(f317(a22,f317(f93(a89),x33861)),f317(f93(a903),x33861))
% 192.07/191.92 [3387]E(f317(f30(a903),f317(f291(a903),x33871)),f317(a102,x33871))
% 192.07/191.92 [3396]E(f317(f317(f74(a903),f72(a903)),x33961),f317(a102,x33961))
% 192.07/191.92 [3400]E(f317(f70(a1),f317(f90(a1),x34001)),f317(f90(a1),x34001))
% 192.07/191.92 [3401]E(f317(f92(a1),f317(f90(a1),x34011)),f317(f90(a1),x34011))
% 192.07/191.92 [3405]E(f317(f30(x34051),f178(f910(x34051,a898))),f2(a903))
% 192.07/191.92 [3407]E(f317(f317(f31(a903),x34071),f317(a102,f2(a903))),x34071)
% 192.07/191.92 [3416]E(f41(a903,x34161,f317(a102,f2(a903))),f2(a903))
% 192.07/191.92 [3417]E(f41(a1,x34171,f317(f93(a1),a87)),f2(a1))
% 192.07/191.92 [3431]E(f317(f317(f31(a1),x34311),f317(f93(a1),a87)),f317(f73(a1),x34311))
% 192.07/191.92 [3435]E(f129(a903,f317(f292(a903,x34351),f2(a903))),f103(a903))
% 192.07/191.92 [3436]E(f317(f317(f74(a1),x34361),f72(a1)),f317(f317(f3(a1),x34361),a87))
% 192.07/191.92 [3437]E(f317(f317(f3(a1),x34371),f72(a1)),f317(f317(f74(a1),x34371),a87))
% 192.07/191.92 [3441]P2(f317(f317(f226(a903),x34411),x34411))
% 192.07/191.92 [3442]P2(f317(f317(f226(a1),x34421),x34421))
% 192.07/191.92 [3443]P2(f317(f317(f277(a903),x34431),x34431))
% 192.07/191.92 [3448]E(f317(f73(a1),f317(f93(a1),x34481)),f317(f93(a1),f317(f73(a1),x34481)))
% 192.07/191.92 [3449]P2(f317(f29(a903),f317(f291(a903),x34491)))
% 192.07/191.92 [3450]P2(f317(f29(a903),f317(f272(a903),x34501)))
% 192.07/191.92 [3457]E(f151(x34571,f232(f910(x34571,a898))),f232(f910(f904(x34571),a898)))
% 192.07/191.92 [3462]P2(f317(f317(f226(a903),f2(a903)),x34621))
% 192.07/191.92 [3473]E(f317(f317(f74(a903),f101(x34731)),f317(a102,f2(a903))),f101(f317(a102,x34731)))
% 192.07/191.92 [3474]E(f317(f252(x34741),f317(f18(a898,x34741),a223)),f178(f910(x34741,a898)))
% 192.07/191.92 [3475]E(f317(f252(x34751),f317(f18(a898,x34751),a177)),f232(f910(x34751,a898)))
% 192.07/191.92 [3478]E(f317(f317(f299(a903),x34781),f317(f272(a903),x34781)),f317(f272(a903),f317(a102,x34781)))
% 192.07/191.92 [3490]E(f317(f317(f74(a1),f72(a1)),f317(f90(a1),x34901)),f317(f90(a1),f317(a102,x34901)))
% 192.07/191.92 [3492]E(f317(f317(f141(f904(x34921)),f103(x34921)),f103(f904(x34921))),f50(x34921,f103(x34921)))
% 192.07/191.92 [3510]E(f178(f910(f909(x35101,x35101),a898)),f253(x35101,f178(f910(x35101,a898))))
% 192.07/191.92 [3511]E(f317(f298(x35111),f232(f910(x35111,a898))),f232(f910(f910(x35111,a898),a898)))
% 192.07/191.92 [3512]E(f317(f73(f910(x35121,a898)),f178(f910(x35121,a898))),f232(f910(x35121,a898)))
% 192.07/191.92 [3513]E(f317(f73(f910(x35131,a898)),f232(f910(x35131,a898))),f178(f910(x35131,a898)))
% 192.07/191.92 [3515]P2(f317(f29(x35151),f178(f910(x35151,a898))))
% 192.07/191.92 [3517]E(f317(f292(a903,x35171),f317(a102,x35171)),f317(f317(f299(a903),x35171),f178(f910(a903,a898))))
% 192.07/191.92 [3518]E(f79(f909(a903,a903),f44(x35181,f2(a903))),f317(f317(f242(a903,a903),f2(a903)),x35181))
% 192.07/191.92 [3531]E(f317(f317(f299(a903),f317(a102,x35311)),f317(f291(a903),x35311)),f317(f291(a903),f317(a102,x35311)))
% 192.07/191.92 [3535]P37(x35351,f178(f910(f909(x35351,x35351),a898)))
% 192.07/191.92 [3536]P39(x35361,f178(f910(f909(x35361,x35361),a898)))
% 192.07/191.92 [3539]P2(f317(f317(f226(a1),f2(a1)),f317(f90(a1),x35391)))
% 192.07/191.92 [3546]E(f317(f317(f74(a903),f317(f179(a903),x35461)),f317(a102,f2(a903))),f317(f179(a903),f317(a102,x35461)))
% 192.07/191.92 [3649]P40(f317(f300(a903,a1,f90(a1)),x36491))
% 192.07/191.92 [3687]P52(x36871,f178(f910(x36871,a898)),f178(f910(f909(x36871,x36871),a898)))
% 192.07/191.92 [3705]E(f317(f317(f242(a1,a1),f317(f93(a1),a87)),f317(f317(f3(a1),x37051),f72(a1))),f46(f317(f93(a1),a87),x37051))
% 192.07/191.92 [3757]P59(x37571,f317(f18(f910(x37571,a898),x37571),f317(f18(a898,x37571),a223)))
% 192.07/191.92 [3769]E(f280(a903,f277(a903),x37691,x37691),f317(f317(f299(a903),x37691),f178(f910(a903,a898))))
% 192.07/191.92 [3958]P2(f317(f317(f319(f910(f909(a903,a903),a898)),f318(x39581)),a88))
% 192.07/191.92 [3983]P2(f317(f317(f319(f910(f909(a903,a903),a898)),f317(a97,x39831)),a88))
% 192.07/191.92 [4112]P25(x41121,f910(x41121,a898),f317(f317(f9(x41121,f910(x41121,a898),f910(x41121,a898)),f299(x41121)),f178(f910(x41121,a898))),f232(f910(x41121,a898)))
% 192.07/191.92 [4592]~E(f317(f317(f74(a1),x45921),x45921),a87)
% 192.07/191.92 [4605]~E(f317(a5,f317(a102,f317(a22,x46051))),f2(a89))
% 192.07/191.92 [4611]~P2(f317(a183,f317(f90(a1),x46111)))
% 192.07/191.92 [4614]~P2(f317(f317(f227(a903),x46141),x46141))
% 192.07/191.92 [4622]~P2(f317(f317(f226(a903),f317(a102,x46221)),x46221))
% 192.07/191.92 [3465]E(f317(a94,f317(f73(a1),f317(f90(a1),x34651))),f2(a903))
% 192.07/191.92 [3468]E(f317(f317(f74(a1),f317(f73(a1),x34681)),x34681),f2(a1))
% 192.07/191.92 [3472]E(f317(f30(a1),f317(f292(a1,f2(a1)),x34721)),f317(a94,x34721))
% 192.07/191.92 [3483]E(f317(f317(f234(a903),f317(a102,f2(a903))),x34831),f317(a102,f2(a903)))
% 192.07/191.92 [3576]E(f317(f271(x35761),f178(f910(f909(x35761,x35761),a898))),f178(f910(x35761,a898)))
% 192.07/191.92 [3584]E(f32(f910(x35841,a898),f178(f910(f910(x35841,a898),a898))),f178(f910(x35841,a898)))
% 192.07/191.92 [3585]E(f32(f910(x35851,a898),f232(f910(f910(x35851,a898),a898))),f232(f910(x35851,a898)))
% 192.07/191.92 [3586]E(f33(f910(x35861,a898),f178(f910(f910(x35861,a898),a898))),f232(f910(x35861,a898)))
% 192.07/191.92 [3587]E(f33(f910(x35871,a898),f232(f910(f910(x35871,a898),a898))),f178(f910(x35871,a898)))
% 192.07/191.92 [3591]P2(f317(f317(f277(a903),f317(a102,f2(a903))),x35911))
% 192.07/191.92 [3632]E(f317(f317(f299(f904(x36321)),f103(x36321)),f178(f910(f904(x36321),a898))),f152(x36321,f103(f910(x36321,a898))))
% 192.07/191.92 [3633]E(f317(f317(f299(f904(x36331)),f103(x36331)),f178(f910(f904(x36331),a898))),f151(x36331,f178(f910(x36331,a898))))
% 192.07/191.92 [3671]E(f317(f317(f74(a903),f6(x36711)),f317(a102,f2(a903))),f6(f317(a5,f317(a102,f317(a22,x36711)))))
% 192.07/191.92 [3696]E(f317(f30(a1),f317(f300(a903,a1,f90(a1)),x36961)),f317(f30(a903),x36961))
% 192.07/191.92 [3697]P2(f317(f317(f226(a903),x36971),f317(f317(f75(a903),x36971),x36971)))
% 192.07/191.92 [3735]E(f317(f300(a1,a903,a94),f293(a1,f2(a1),f317(f90(a1),x37351))),f317(f291(a903),x37351))
% 192.07/191.92 [3752]E(f317(f317(f31(a903),f317(a102,f2(a903))),f317(f93(a903),x37521)),f317(a94,f317(f317(f31(a1),f72(a1)),f317(f93(a1),x37521))))
% 192.07/191.92 [3754]E(f317(f162(a903),f129(a903,f317(f292(a903,f2(a903)),f317(a102,x37541)))),f317(f291(a903),x37541))
% 192.07/191.92 [3755]E(f317(f317(f74(a903),f317(f179(a89),x37551)),f317(a102,f2(a903))),f317(f179(a89),f317(a5,f317(a102,f317(a22,x37551)))))
% 192.07/191.92 [3775]P39(x37751,f297(x37751,f178(f910(f909(x37751,x37751),a898))))
% 192.07/191.92 [3776]P51(x37761,f297(x37761,f178(f910(f909(x37761,x37761),a898))))
% 192.07/191.92 [3777]E(f317(f300(a1,a903,a94),f317(f300(a903,a1,f90(a1)),x37771)),x37771)
% 192.07/191.92 [3807]E(f317(f317(f299(a903),f2(a903)),f317(f300(a903,a903,a102),f317(f272(a903),x38071))),f317(f272(a903),f317(a102,x38071)))
% 192.07/191.92 [3813]P54(x38131,x38131,f297(x38131,f178(f910(f909(x38131,x38131),a898))))
% 192.07/191.92 [3819]P2(f317(a183,f317(f73(a1),f317(f90(a1),f317(a102,x38191)))))
% 192.07/191.92 [3829]E(f317(f317(f3(f910(a903,a898)),f317(f273(a903),x38291)),f317(f317(f299(a903),x38291),f178(f910(a903,a898)))),f317(f273(a903),f317(a102,x38291)))
% 192.07/191.92 [3846]E(f317(f317(f74(a1),f317(f317(f3(a1),a77),x38461)),f317(f317(f3(a1),a77),x38461)),f317(f317(f3(a1),a77),f317(f317(f74(a1),x38461),x38461)))
% 192.07/191.92 [3860]E(f317(f317(f299(f910(x38601,a898)),f178(f910(x38601,a898))),f178(f910(f910(x38601,a898),a898))),f317(f298(x38601),f178(f910(x38601,a898))))
% 192.07/191.92 [3888]E(f317(f317(f3(f910(a903,a898)),f317(f294(a903),x38881)),f317(f317(f299(a903),f317(a102,x38881)),f178(f910(a903,a898)))),f317(f294(a903),f317(a102,x38881)))
% 192.07/191.92 [3995]E(f317(f93(a903),f317(f317(f74(a1),x39951),x39951)),f317(f317(f80(a903,a903),f317(f93(a903),x39951)),f317(f317(f20(a903,a903,a903),f74(a903)),f7(a903))))
% 192.07/191.92 [4366]P15(x43661,f910(x43661,a898),f317(f317(f10(f910(x43661,a898),f910(f910(x43661,a898),f910(x43661,a898)),x43661),f317(f9(f910(x43661,a898),f910(x43661,a898),f910(x43661,a898)),f3(f910(x43661,a898)))),f317(f317(f9(x43661,f910(x43661,a898),f910(x43661,a898)),f299(x43661)),f178(f910(x43661,a898)))))
% 192.07/191.92 [4453]E(f317(f252(f909(a1,a1)),f317(f247(a1,a1,a898),f317(f317(f10(f910(a1,a898),f910(a1,a898),a1),f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),x44531)))),f227(a1)))),f95(x44531))
% 192.07/191.92 [4486]E(f317(f252(f909(a1,a1)),f317(f247(a1,a1,a898),f317(f317(f20(a1,f910(a1,a898),f910(a1,a898)),f317(f317(f10(f910(a898,a898),f910(f910(a1,a898),f910(a1,a898)),a1),f10(a898,a898,a1)),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),x44861)))),f227(a1)))),f96(x44861))
% 192.07/191.92 [4539]E(f317(f252(f909(f910(x45391,a898),f910(x45391,a898))),f317(f247(f910(x45391,a898),f910(x45391,a898),a898),f317(f317(f9(f910(x45391,a898),f910(f910(x45391,a898),a898),f910(f910(x45391,a898),a898)),f317(f317(f10(f910(f910(x45391,a898),f910(a898,a898)),f910(f910(f910(x45391,a898),a898),f910(f910(x45391,a898),a898)),f910(x45391,a898)),f20(f910(x45391,a898),a898,a898)),f317(f317(f10(f910(f910(x45391,a898),a898),f910(f910(x45391,a898),f910(a898,a898)),f910(x45391,a898)),f317(f10(a898,f910(a898,a898),f910(x45391,a898)),a315)),f227(f910(x45391,a898))))),f29(x45391)))),f304(x45391))
% 192.07/191.92 [4626]~P2(f317(f29(f904(x46261)),f232(f910(f904(x46261),a898))))
% 192.07/191.92 [4639]~P2(f317(f317(f226(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x46391)))))
% 192.07/191.92 [3611]E(f317(f317(f3(a1),f317(f317(f74(a1),x36111),a87)),a87),x36111)
% 192.07/191.92 [3625]E(f317(f162(a903),f129(a903,f317(f292(a903,f2(a903)),x36251))),f317(f272(a903),x36251))
% 192.07/191.92 [3867]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x38671)),x38671),f317(f317(f3(a1),f317(f317(f74(a1),x38671),x38671)),a87))
% 192.07/191.92 [3915]E(f317(f276(x39151,x39151),f297(x39151,f178(f910(f909(x39151,x39151),a898)))),f297(x39151,f178(f910(f909(x39151,x39151),a898))))
% 192.07/191.92 [3961]P2(f317(f317(f226(a903),x39611),f317(f317(f75(a903),x39611),f317(f317(f75(a903),x39611),x39611))))
% 192.07/191.92 [4229]P2(f317(f29(a903),f317(f252(a903),f317(f317(f9(a903,a903,a898),f226(a903)),x42291))))
% 192.07/191.92 [4230]P2(f317(f29(a903),f317(f252(a903),f317(f317(f9(a903,a903,a898),f227(a903)),x42301))))
% 192.07/191.92 [4502]E(f317(f252(f909(x45021,x45021)),f317(f317(f10(f910(x45021,a898),a898,f909(x45021,x45021)),f81(x45021)),f317(f317(f9(f909(x45021,x45021),f910(x45021,f909(x45021,x45021)),f910(x45021,a898)),f317(f317(f10(f910(f909(x45021,x45021),a898),f910(f910(x45021,f909(x45021,x45021)),f910(x45021,a898)),f909(x45021,x45021)),f10(f909(x45021,x45021),a898,x45021)),a314)),f317(f317(f20(x45021,x45021,f909(x45021,x45021)),f242(x45021,x45021)),f7(x45021))))),f297(x45021,f178(f910(f909(x45021,x45021),a898))))
% 192.07/191.92 [4628]~E(f317(f317(f3(a1),f317(f317(f74(a1),x46281),x46281)),a87),a77)
% 192.07/191.92 [4630]~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46301)),x46301),f2(a1))
% 192.07/191.92 [4005]E(f317(f317(f74(a1),f317(f317(f3(a1),a87),x40051)),f317(f317(f3(a1),a87),x40051)),f317(f317(f3(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x40051),x40051)),a87)))
% 192.07/191.92 [4120]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),a87),x41201)),f317(f317(f3(a1),a87),x41201))),a87),f317(f317(f3(a1),a87),f317(f317(f74(a1),x41201),x41201)))
% 192.07/191.92 [4152]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),x41521),a87)),f317(f317(f74(a1),x41521),a87))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x41521),x41521)),a87))
% 192.07/191.92 [4190]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),a87),x41901)),f317(f317(f3(a1),a87),x41901))),a87),f317(f317(f3(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x41901),x41901)),a87)))
% 192.07/191.92 [4287]E(f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x42871),f2(a903))),f178(f910(f909(a903,a903),a898))))),f317(f90(a1),x42871))
% 192.07/191.92 [4297]E(f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),f322(x42971)),f511(x42971))),f178(f910(f909(a903,a903),a898))))),x42971)
% 192.07/191.92 [4330]E(f317(f252(a1),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),x43301)),f317(f300(a903,a1,f90(a1)),f317(f252(a903),f317(f317(f10(a1,a898,a903),x43301),f90(a1)))))
% 192.07/191.92 [4374]P40(f317(f252(a1),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),x43741)))
% 192.07/191.92 [4394]P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),x43941),f178(f910(f909(a903,a903),a898)))),a66))
% 192.07/191.92 [4399]E(f317(f300(a1,a903,a94),f317(f252(a1),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),f317(f317(f10(a903,a898,a1),x43991),a94)))),f317(f252(a903),x43991))
% 192.07/191.92 [4554]E(f302(a903,f317(f317(f36(f909(a903,a903),f910(a903,a898)),f317(a97,x45541)),f317(f247(a903,a903,f910(a903,a898)),f317(f317(f9(a903,f910(a903,a898),f910(a903,f910(a903,a898))),f317(f317(f10(f910(a903,f910(f910(a903,a898),f910(a903,a898))),f910(f910(a903,a898),f910(a903,f910(a903,a898))),a903),f9(a903,f910(a903,a898),f910(a903,a898))),f317(f317(f10(f910(a903,a903),f910(a903,f910(f910(a903,a898),f910(a903,a898))),a903),f317(f10(a903,f910(f910(a903,a898),f910(a903,a898)),a903),f299(a903))),f3(a903)))),f178(f910(a903,a898)))))),f317(a94,x45541))
% 192.07/191.92 [4050]E(f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),x40501),x40501)),a87)),a87),f317(f317(f74(a1),x40501),x40501))
% 192.07/191.92 [4100]E(f317(f317(f3(a1),f317(f317(f3(a1),f317(f317(f74(a1),x41001),x41001)),a87)),a87),f317(f317(f74(a1),f317(f317(f3(a1),x41001),a87)),f317(f317(f3(a1),x41001),a87)))
% 192.07/191.92 [4303]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f73(a1),x43031)),a87)),f317(f317(f74(a1),f317(f73(a1),x43031)),a87))),a87),f317(f73(a1),f317(f317(f3(a1),f317(f317(f74(a1),x43031),x43031)),a87)))
% 192.07/191.92 [4347]E(f317(f317(f74(a903),x43471),f317(f93(a903),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,x43471)))
% 192.07/191.92 [4348]E(f317(f317(f75(a903),x43481),f317(f93(a903),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(a903),x43481),x43481))
% 192.07/191.92 [4349]E(f317(f317(f31(a903),f317(f317(f74(a903),x43491),x43491)),f317(f93(a903),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)))),x43491)
% 192.07/191.92 [4427]E(f41(a903,f317(a102,f317(a102,x44271)),f317(f93(a903),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)))),f41(a903,x44271,f317(f93(a903),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)))))
% 192.07/191.92 [4568]E(f317(a83,f317(f317(f36(f909(a903,a903),f910(f909(a903,a903),a898)),f317(a97,x45681)),f317(f247(a903,a903,f910(f909(a903,a903),a898)),f317(f317(f10(f910(a903,f910(f909(a903,a903),a898)),f910(a903,f910(f909(a903,a903),a898)),a903),f317(f10(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898),a903),f275(f909(a903,a903),f909(a903,a903),a98))),f317(f317(f9(a903,f910(f909(a903,a903),a898),f910(a903,f910(f909(a903,a903),a898))),f317(f317(f10(f910(a903,f910(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f910(f910(f909(a903,a903),a898),f910(a903,f910(f909(a903,a903),a898))),a903),f9(a903,f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f10(f910(a903,f909(a903,a903)),f910(a903,f910(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),a903),f317(f10(f909(a903,a903),f910(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),a903),f299(f909(a903,a903)))),f317(f9(a903,a903,f909(a903,a903)),f242(a903,a903))))),f178(f910(f909(a903,a903),a898))))))),f317(f73(a1),x45681))
% 192.07/191.92 [4422]E(f317(f317(f74(a903),f317(f93(a903),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)))),x44221),f317(a102,f317(a102,x44221)))
% 192.07/191.92 [4423]E(f317(f317(f75(a903),f317(f93(a903),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)))),x44231),f317(f317(f74(a903),x44231),x44231))
% 192.07/191.92 [4459]E(f317(f317(f31(a903),f317(a102,f317(a102,x44591))),f317(f93(a903),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(f31(a903),x44591),f317(f93(a903),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))))))
% 192.07/191.92 [4509]E(f317(f317(f74(a903),f317(f93(a903),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))),x45091),f317(a102,f317(a102,f317(a102,x45091))))
% 192.07/191.92 [4575]E(f317(f247(a1,a1,f909(a1,a1)),f317(f317(f20(a1,f910(a1,f909(a1,a1)),f910(a1,f909(a1,a1))),f317(f317(f10(f910(a1,f910(f909(a1,a1),f909(a1,a1))),f910(f910(a1,f909(a1,a1)),f910(a1,f909(a1,a1))),a1),f20(a1,f909(a1,a1),f909(a1,a1))),f317(f317(f10(f910(a1,f909(a1,a1)),f910(a1,f910(f909(a1,a1),f909(a1,a1))),a1),f317(f20(a1,f909(a1,a1),f910(f909(a1,a1),f909(a1,a1))),f317(f317(f10(a898,f910(f909(a1,a1),f910(f909(a1,a1),f909(a1,a1))),a1),f86(f909(a1,a1))),f317(f317(f10(a1,a898,a1),f317(f226(a1),f2(a1))),f317(f317(f9(a1,a1,a1),f3(a1)),x45751))))),f317(f317(f9(a1,f910(a1,a1),f910(a1,f909(a1,a1))),f317(f317(f10(f910(a1,f909(a1,a1)),f910(f910(a1,a1),f910(a1,f909(a1,a1))),a1),f10(a1,f909(a1,a1),a1)),f317(f317(f10(a1,f910(a1,f909(a1,a1)),a1),f242(a1,a1)),f317(f317(f9(a1,a1,a1),f317(f317(f10(a1,f910(a1,a1),a1),f74(a1)),f317(f75(a1),f317(f93(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)),x45751))))),f317(f317(f10(a1,f910(a1,f909(a1,a1)),a1),f242(a1,a1)),f317(f75(a1),f317(f93(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))))))),f39(x45751))
% 192.07/191.92 [3290]P106(f908(x32901,x32902))
% 192.07/191.92 [3291]P106(f907(x32911,x32912))
% 192.07/191.92 [3292]P106(f909(x32921,x32922))
% 192.07/191.92 [3310]P14(a1,f168(x33101,x33102))
% 192.07/191.92 [3311]P37(x33111,f143(x33111,x33112))
% 192.07/191.92 [3312]P38(x33121,f253(x33121,x33122))
% 192.07/191.92 [3313]P38(x33131,f297(x33131,x33132))
% 192.07/191.92 [3314]P39(x33141,f253(x33141,x33142))
% 192.07/191.92 [3315]P51(x33151,f253(x33151,x33152))
% 192.07/191.92 [3378]P31(x33781,x33782,f103(x33781))
% 192.07/191.92 [3411]P52(x34111,x34112,f253(x34111,x34112))
% 192.07/191.92 [3412]P54(x34121,x34121,f253(x34121,x34122))
% 192.07/191.92 [3674]P25(x36741,x36741,f7(x36741),x36742)
% 192.07/191.92 [3675]P25(x36751,x36751,f25(x36751),x36752)
% 192.07/191.92 [3683]P32(x36831,x36832,f103(x36831),f103(x36831))
% 192.07/191.92 [3690]P25(f904(x36901),f904(x36901),f158(x36901),x36902)
% 192.07/191.92 [4090]P26(x40901,x40901,f25(x40901),x40902,x40902)
% 192.07/191.92 [4600]~P33(x46001,x46002,f103(x46001))
% 192.07/191.92 [4601]~P35(x46011,x46012,f103(x46011))
% 192.07/191.92 [3276]E(f317(f7(x32761),x32762),x32762)
% 192.07/191.92 [3277]E(f317(f252(x32771),x32772),x32772)
% 192.07/191.92 [3279]E(f317(f25(x32791),x32792),x32792)
% 192.07/191.92 [3289]E(f317(f181(x32891),x32892),f105(x32891))
% 192.07/191.92 [3308]E(f79(x33081,f317(a314,x33082)),x33082)
% 192.07/191.92 [3309]E(f84(x33091,f317(a314,x33092)),x33092)
% 192.07/191.92 [3331]E(f317(f115(x33311,x33312),f109(x33311)),f2(a903))
% 192.07/191.92 [3334]E(f317(f126(x33341,x33342),f103(x33341)),f103(x33341))
% 192.07/191.92 [3354]E(f142(x33541,f142(x33541,x33542)),f142(x33541,x33542))
% 192.07/191.92 [3355]E(f297(x33551,f297(x33551,x33552)),f297(x33551,x33552))
% 192.07/191.92 [3373]E(f317(f317(f124(x33731),x33732),f103(x33731)),x33732)
% 192.07/191.92 [3379]E(f163(x33791,x33792,f103(x33791)),x33792)
% 192.07/191.92 [3380]E(f163(x33801,f103(x33801),x33802),x33802)
% 192.07/191.92 [3381]E(f106(x33811,f109(x33811),x33812),x33812)
% 192.07/191.92 [3382]E(f159(x33821,f2(a903),x33822),f103(x33821))
% 192.07/191.92 [3388]E(f317(f317(f165(x33881),x33882),f103(x33881)),f103(x33881))
% 192.07/191.92 [3389]E(f317(f317(f128(x33891),x33892),f103(x33891)),f103(x33891))
% 192.07/191.92 [3391]E(f145(x33911,x33912,f103(x33911)),f2(a903))
% 192.07/191.92 [3393]E(f160(x33931,x33932,f103(x33931)),f103(x33931))
% 192.07/191.92 [3394]E(f167(x33941,x33942,f103(x33941)),f103(x33941))
% 192.07/191.92 [3395]E(f166(x33951,f103(x33951),x33952),f103(x33951))
% 192.07/191.92 [3399]E(f317(f162(x33991),f142(x33991,x33992)),f317(f162(x33991),x33992))
% 192.07/191.92 [3402]E(f317(f274(x34021,x34021),f253(x34021,x34022)),x34022)
% 192.07/191.92 [3403]E(f317(f254(x34031,x34031),f253(x34031,x34032)),x34032)
% 192.07/191.92 [3410]E(f317(f276(x34101,x34101),f253(x34101,x34102)),f253(x34101,x34102))
% 192.07/191.92 [3423]E(f297(f904(x34231),f147(x34231,x34232)),f148(x34231,f297(x34231,x34232)))
% 192.07/191.92 [3425]P2(f317(f127(a1),f168(x34251,x34252)))
% 192.07/191.92 [3433]E(f317(f274(x34331,x34331),f297(x34331,x34332)),f232(f910(x34331,a898)))
% 192.07/191.92 [3434]E(f317(f254(x34341,x34341),f297(x34341,x34342)),f232(f910(x34341,a898)))
% 192.07/191.92 [3438]P2(f317(f127(x34381),f142(x34381,x34382)))
% 192.07/191.92 [3440]P2(f317(f150(x34401,x34402),f103(x34401)))
% 192.07/191.92 [3446]E(f317(f162(a1),f168(x34461,x34462)),f293(a1,x34461,x34462))
% 192.07/191.92 [3460]P55(x34601,f178(f910(x34601,a898)),x34602)
% 192.07/191.92 [3466]E(f317(f246(a1,a1),f42(x34661,x34662)),f41(a1,x34661,x34662))
% 192.07/191.92 [3467]E(f317(f292(a903,x34671),f317(a102,x34672)),f293(a903,x34671,x34672))
% 192.07/191.92 [3482]E(f317(f317(f141(x34821),x34822),f103(x34821)),f130(x34821,x34822,f103(x34821)))
% 192.07/191.92 [3494]E(f293(a903,f317(a102,x34941),x34942),f295(a903,x34941,x34942))
% 192.07/191.92 [3495]P52(x34951,f232(f910(x34951,a898)),f297(x34951,x34952))
% 192.07/191.92 [3557]E(f317(f317(f3(a903),x35571),f317(a102,x35572)),f317(f30(a903),f296(a903,x35572,x35571)))
% 192.07/191.92 [3612]E(f156(x36121,x36122,f103(x36121)),f317(f317(f242(f904(x36121),f904(x36121)),f103(x36121)),f103(x36121)))
% 192.07/191.92 [3630]E(f317(f247(x36301,x36302,f909(x36301,x36302)),f242(x36301,x36302)),f25(f909(x36301,x36302)))
% 192.07/191.92 [3634]P2(f317(f317(f319(f904(x36341)),f103(x36341)),f151(x36341,x36342)))
% 192.07/191.92 [3635]E(f317(f179(f904(x36351)),f104(x36351,x36352)),f317(f317(f3(a903),f317(f179(f904(x36351)),x36352)),f72(a903)))
% 192.07/191.92 [3643]P2(f317(f29(a903),f296(a903,x36431,x36432)))
% 192.07/191.92 [3644]P2(f317(f29(a903),f293(a903,x36441,x36442)))
% 192.07/191.92 [3645]P2(f317(f29(a903),f295(a903,x36451,x36452)))
% 192.07/191.92 [3646]P2(f317(f29(a1),f296(a1,x36461,x36462)))
% 192.07/191.92 [3647]P2(f317(f29(a1),f293(a1,x36471,x36472)))
% 192.07/191.92 [3648]P2(f317(f29(a1),f295(a1,x36481,x36482)))
% 192.07/191.92 [3751]E(f317(f300(a903,a903,a102),f293(a903,x37511,x37512)),f293(a903,f317(a102,x37511),f317(a102,x37512)))
% 192.07/191.92 [3771]E(f317(f317(f279(x37711,x37711,x37711),f297(x37711,x37712)),f297(x37711,x37712)),f297(x37711,x37712))
% 192.07/191.92 [3805]E(f317(f317(f242(a89,a89),f317(f317(f31(a89),x38051),x38052)),f41(a89,x38051,x38052)),f23(x38051,x38052))
% 192.07/191.92 [3806]E(f317(f317(f242(a1,a1),f317(f317(f31(a1),x38061),x38062)),f41(a1,x38061,x38062)),f42(x38061,x38062))
% 192.07/191.92 [3833]E(f317(f317(f242(a903,a903),f317(f317(f31(a903),x38331),x38332)),f41(a903,x38331,x38332)),f79(f909(a903,a903),f44(x38331,x38332)))
% 192.07/191.92 [3884]P2(f317(f317(f227(a903),f317(f317(f3(a903),x38841),x38842)),f317(a102,x38841)))
% 192.07/191.92 [3932]P38(x39321,f317(f317(f279(x39321,x39321,x39321),x39322),f297(x39321,x39322)))
% 192.07/191.92 [3982]E(f317(f317(f74(a1),f317(f317(f75(a1),x39821),f317(f317(f31(a1),x39822),x39821))),f41(a1,x39822,x39821)),x39822)
% 192.07/191.92 [3986]E(f317(f317(f36(a903,f910(f909(f904(x39861),f904(x39861)),a898)),f232(f910(a903,a898))),f133(x39861,x39862)),f135(x39861,x39862))
% 192.07/191.92 [4206]P2(f317(f317(f319(f909(f904(x42061),f904(x42061))),f317(f317(f242(f904(x42061),f904(x42061)),f103(x42061)),f103(x42061))),f148(x42061,x42062)))
% 192.07/191.92 [4315]E(f243(x43151,x43151,x43151,a314,f243(x43151,x43151,x43151,x43152,a314)),x43152)
% 192.07/191.92 [4359]E(f248(x43591,x43591,x43592,x43592,f7(x43591),f7(x43592)),f25(f909(x43591,x43592)))
% 192.07/191.92 [4361]E(f248(x43611,x43611,x43612,x43612,f25(x43611),f25(x43612)),f25(f909(x43611,x43612)))
% 192.07/191.92 [3372]E(f317(f158(x33721),f317(f158(x33721),x33722)),x33722)
% 192.07/191.92 [3374]E(f317(f317(f128(x33741),f2(a903)),x33742),x33742)
% 192.07/191.92 [3390]E(f317(f317(f165(x33901),f2(a903)),x33902),f103(x33901))
% 192.07/191.92 [3397]E(f317(f317(f124(x33971),f103(x33971)),x33972),x33972)
% 192.07/191.92 [3406]E(f32(f910(x34061,a898),f317(f298(x34061),x34062)),x34062)
% 192.07/191.92 [3408]E(f317(f162(x34081),f317(f157(x34081),x34082)),f317(f162(x34081),x34082))
% 192.07/191.92 [3409]E(f317(f162(x34091),f317(f158(x34091),x34092)),f317(f162(x34091),x34092))
% 192.07/191.92 [3414]E(f317(f317(f3(a89),x34141),x34142),f317(f317(a4,x34141),x34142))
% 192.07/191.92 [3427]E(f317(f317(f75(a903),x34271),x34272),f317(f317(f75(a903),x34272),x34271))
% 192.07/191.92 [3428]E(f317(f317(f75(a1),x34281),x34282),f317(f317(f75(a1),x34282),x34281))
% 192.07/191.92 [3429]E(f317(f317(f74(a903),x34291),x34292),f317(f317(f74(a903),x34292),x34291))
% 192.07/191.92 [3430]E(f317(f317(f74(a1),x34301),x34302),f317(f317(f74(a1),x34302),x34301))
% 192.07/191.92 [3452]E(f317(f317(f173(x34521,x34521),f2(a903)),x34522),f25(x34521))
% 192.07/191.92 [3453]E(f317(f179(f904(x34531)),f317(f157(x34531),x34532)),f317(f179(f904(x34531)),x34532))
% 192.07/191.92 [3454]E(f317(f179(f904(x34541)),f317(f158(x34541),x34542)),f317(f179(f904(x34541)),x34542))
% 192.07/191.92 [3455]E(f166(x34551,x34552,f178(f910(a903,a898))),f103(x34551))
% 192.07/191.92 [3456]E(f317(f317(f144(x34561,x34561),f7(x34561)),x34562),x34562)
% 192.07/191.92 [3458]E(f317(f241(a1,a1),f42(x34581,x34582)),f317(f317(f31(a1),x34581),x34582))
% 192.07/191.92 [3476]E(f317(f179(f904(x34761)),f142(x34761,x34762)),f317(f30(x34761),f317(f162(x34761),x34762)))
% 192.07/191.92 [3477]E(f317(f271(x34771),f317(f276(x34771,x34771),x34772)),f317(f271(x34771),x34772))
% 192.07/191.92 [3481]P2(f317(f29(x34811),f317(f162(x34811),x34812)))
% 192.07/191.92 [3489]E(f317(f317(f74(a1),x34891),f317(f73(a1),x34892)),f317(f317(f3(a1),x34891),x34892))
% 192.07/191.92 [3496]E(f317(f300(x34961,x34961,f7(x34961)),x34962),x34962)
% 192.07/191.92 [3497]E(f317(f300(x34971,x34971,f25(x34971)),x34972),x34972)
% 192.07/191.92 [3498]E(f317(f301(x34981,x34981,f7(x34981)),x34982),x34982)
% 192.07/191.92 [3499]E(f317(f301(x34991,x34991,f25(x34991)),x34992),x34992)
% 192.07/191.92 [3500]P2(f317(f232(f910(x35001,a898)),x35002))
% 192.07/191.92 [3502]E(f317(f30(a903),f317(f292(a903,x35021),x35022)),f317(f317(f3(a903),x35022),x35021))
% 192.07/191.92 [3503]E(f317(f292(a903,f317(a102,x35031)),x35032),f296(a903,x35031,x35032))
% 192.07/191.92 [3516]E(f317(f317(f299(x35161),x35162),f178(f910(x35161,a898))),f317(f252(x35161),f317(a314,x35162)))
% 192.07/191.92 [3522]E(f297(x35221,f317(f276(x35221,x35221),x35222)),f317(f276(x35221,x35221),f297(x35221,x35222)))
% 192.07/191.92 [3526]E(f317(f317(f74(a903),f317(a102,x35261)),x35262),f317(f317(f74(a903),x35261),f317(a102,x35262)))
% 192.07/191.92 [3527]E(f317(f317(f3(a903),f317(a102,x35271)),f317(a102,x35272)),f317(f317(f3(a903),x35271),x35272))
% 192.07/191.92 [3533]E(f51(x35331,f2(a903),x35332),f317(f317(f141(f904(x35331)),f103(x35331)),f103(f904(x35331))))
% 192.07/191.92 [3534]E(f317(f30(a903),f295(a903,x35341,x35342)),f317(f317(f3(a903),x35342),x35341))
% 192.07/191.92 [3543]P37(x35431,f317(f317(f278(a903,x35431),a230),x35432))
% 192.07/191.92 [3545]P14(a903,f129(a903,f317(f292(a903,x35451),x35452)))
% 192.07/191.92 [3547]P2(f317(f29(a903),f317(f292(a903,x35471),x35472)))
% 192.07/191.92 [3548]P2(f317(f29(a1),f317(f292(a1,x35481),x35482)))
% 192.07/191.92 [3551]E(f317(f276(f904(x35511),f904(x35511)),f147(x35511,x35512)),f147(x35511,f317(f276(x35511,x35511),x35512)))
% 192.07/191.92 [3553]E(f317(f292(a1,x35531),f317(f317(f74(a1),x35532),f72(a1))),f293(a1,x35531,x35532))
% 192.07/191.92 [3556]E(f317(f317(f31(a1),f317(f73(a1),x35561)),f317(f73(a1),x35562)),f317(f317(f31(a1),x35561),x35562))
% 192.07/191.92 [3564]E(f317(f317(f173(f909(x35641,x35641),a898),f72(a903)),x35642),x35642)
% 192.07/191.92 [3566]E(f317(f317(f3(f910(x35661,a898)),x35662),f178(f910(x35661,a898))),x35662)
% 192.07/191.92 [3567]E(f317(f317(f100(f910(x35671,a898)),x35672),f178(f910(x35671,a898))),x35672)
% 192.07/191.92 [3568]E(f317(f317(f91(f910(x35681,a898)),x35682),f232(f910(x35681,a898))),x35682)
% 192.07/191.92 [3569]E(f317(f241(a903,a903),f79(f909(a903,a903),f44(x35691,x35692))),f317(f317(f31(a903),x35691),x35692))
% 192.07/191.92 [3575]E(f293(a1,f317(f317(f74(a1),x35751),f72(a1)),x35752),f295(a1,x35751,x35752))
% 192.07/191.92 [3580]E(f317(f246(a903,a903),f79(f909(a903,a903),f44(x35801,x35802))),f41(a903,x35801,x35802))
% 192.07/191.92 [3590]P2(f317(f317(f319(x35901),x35902),f232(f910(x35901,a898))))
% 192.07/191.92 [3595]E(f317(f317(f3(a903),f317(a102,x35951)),x35952),f317(f30(a903),f293(a903,x35952,x35951)))
% 192.07/191.92 [3621]E(f317(f317(f3(f910(x36211,a898)),x36212),f232(f910(x36211,a898))),f178(f910(x36211,a898)))
% 192.07/191.92 [3622]E(f317(f317(f100(f910(x36221,a898)),x36222),f232(f910(x36221,a898))),f232(f910(x36221,a898)))
% 192.07/191.92 [3623]E(f317(f317(f91(f910(x36231,a898)),x36232),f178(f910(x36231,a898))),f178(f910(x36231,a898)))
% 192.07/191.92 [3638]E(f41(a1,f317(f90(a1),x36381),f317(f90(a1),x36382)),f317(f90(a1),f41(a903,x36381,x36382)))
% 192.07/191.92 [3639]E(f41(a1,f317(f73(a1),x36391),f317(f73(a1),x36392)),f317(f73(a1),f41(a1,x36391,x36392)))
% 192.07/191.92 [3650]E(f317(f179(f904(x36501)),f317(f161(x36501),x36502)),f317(f317(f3(a903),f317(f179(f904(x36501)),x36502)),f72(a903)))
% 192.07/191.92 [3676]E(f317(f317(f31(a1),f41(a1,x36761,x36762)),x36762),f2(a1))
% 192.07/191.92 [3685]E(f317(a5,f41(a903,f317(a22,x36851),f317(a22,x36852))),f41(a89,x36851,x36852))
% 192.07/191.92 [3718]E(f317(a5,f317(f317(f3(a903),f317(a22,x37181)),f317(a22,x37182))),f317(f317(f3(a89),x37181),x37182))
% 192.07/191.92 [3719]E(f317(a5,f317(f317(f75(a903),f317(a22,x37191)),f317(a22,x37192))),f317(f317(f75(a89),x37191),x37192))
% 192.07/191.92 [3720]E(f317(a5,f317(f317(f74(a903),f317(a22,x37201)),f317(a22,x37202))),f317(f317(f74(a89),x37201),x37202))
% 192.07/191.92 [3721]E(f317(a5,f317(f317(f31(a903),f317(a22,x37211)),f317(a22,x37212))),f317(f317(f31(a89),x37211),x37212))
% 192.07/191.92 [3729]E(f317(f300(a903,a903,a102),f317(f292(a903,x37291),x37292)),f317(f292(a903,f317(a102,x37291)),f317(a102,x37292)))
% 192.07/191.92 [3756]P2(f317(f44(x37561,x37562),f79(f909(a903,a903),f44(x37561,x37562))))
% 192.07/191.92 [3780]E(f41(a903,f317(a102,f41(a903,x37801,x37802)),x37802),f41(a903,f317(a102,x37801),x37802))
% 192.07/191.92 [3792]E(f317(f317(f36(f910(x37921,a898),f910(x37921,a898)),x37922),f7(f910(x37921,a898))),f32(f910(x37921,a898),x37922))
% 192.07/191.92 [3793]E(f317(f317(f35(f910(x37931,a898),f910(x37931,a898)),x37932),f7(f910(x37931,a898))),f33(f910(x37931,a898),x37932))
% 192.07/191.92 [3794]E(f317(f300(f904(x37941),f910(x37941,a898),f162(x37941)),f317(f162(f904(x37941)),f50(x37941,x37942))),f317(f298(x37941),f317(f162(x37941),x37942)))
% 192.07/191.92 [3798]P2(f317(f317(f319(f910(x37981,a898)),x37982),f317(f298(x37981),x37982)))
% 192.07/191.92 [3804]E(f41(a1,f317(f73(a1),f41(a1,x38041,x38042)),x38042),f41(a1,f317(f73(a1),x38041),x38042))
% 192.07/191.92 [3815]P2(f317(f317(f226(f910(x38151,a898)),x38152),f232(f910(x38151,a898))))
% 192.07/191.92 [3817]E(f317(f317(f279(x38171,x38171,x38171),f297(x38171,x38172)),f297(x38171,f297(x38171,x38172))),f297(x38171,x38172))
% 192.07/191.92 [3818]E(f317(f317(f100(f910(x38181,a898)),f317(f254(x38181,x38181),x38182)),f317(f274(x38181,x38181),x38182)),f317(f271(x38181),x38182))
% 192.07/191.92 [3839]E(f303(x38391,x38392,f232(f910(x38391,a898)),f232(f910(x38392,a898))),f232(f910(f908(x38391,x38392),a898)))
% 192.07/191.92 [3889]P2(f317(f317(f226(a903),f41(a903,x38891,x38892)),x38891))
% 192.07/191.92 [3913]P2(f317(f317(f226(a1),f317(f73(a1),f317(f90(a1),x39131))),f317(f90(a1),x39132)))
% 192.07/191.92 [3937]P2(f317(f317(f319(f910(x39371,a898)),f178(f910(x39371,a898))),f317(f298(x39371),x39372)))
% 192.07/191.92 [3942]E(f297(x39421,f317(f317(f279(x39421,x39421,x39421),x39422),f297(x39421,x39422))),f297(x39421,x39422))
% 192.07/191.92 [3945]E(f317(f317(f279(x39451,x39451,x39451),f297(x39451,x39452)),x39452),f317(f317(f279(x39451,x39451,x39451),x39452),f297(x39451,x39452)))
% 192.07/191.92 [3947]E(f317(a94,f317(f317(f74(a1),f317(f317(f3(a1),x39471),x39472)),f72(a1))),f317(f30(a1),f293(a1,x39472,x39471)))
% 192.07/191.92 [3962]E(f317(f274(x39621,x39621),f317(f317(f279(x39621,x39621,x39621),x39622),f297(x39621,x39622))),f317(f274(x39621,x39621),x39622))
% 192.07/191.92 [3963]E(f317(f254(x39631,x39631),f317(f317(f279(x39631,x39631,x39631),x39632),f297(x39631,x39632))),f317(f254(x39631,x39631),x39632))
% 192.07/191.92 [3981]E(f317(f132(f904(x39811),f904(x39811),f124(x39811),f103(x39811)),f159(f904(x39811),x39812,f103(x39811))),f103(x39811))
% 192.07/191.92 [3990]P25(a903,a903,f317(f317(f9(a903,a903,a903),f74(a903)),x39901),x39902)
% 192.07/191.92 [3992]P14(a903,f317(f158(a903),f317(f317(f144(f904(x39921),a903),f179(f904(x39921))),f169(x39921,x39922))))
% 192.07/191.92 [4022]P51(x40221,f317(f317(f100(f910(f909(x40221,x40221),a898)),x40222),f317(f276(x40221,x40221),x40222)))
% 192.07/191.92 [4023]P51(x40231,f317(f317(f91(f910(f909(x40231,x40231),a898)),x40232),f317(f276(x40231,x40231),x40232)))
% 192.07/191.92 [4034]P2(f317(f317(f227(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40341)))),f317(f90(a1),x40342)))
% 192.07/191.92 [4079]E(f317(f132(f904(x40791),x40791,f317(f9(x40791,f904(x40791),f904(x40791)),f141(x40791)),f103(x40791)),x40792),f317(f158(x40791),x40792))
% 192.07/191.92 [4127]P2(f317(f317(f226(f910(f909(f904(x41271),f904(x41271)),a898)),f148(x41271,x41272)),f297(f904(x41271),f147(x41271,x41272))))
% 192.07/191.92 [4156]P2(f317(f44(x41561,x41562),f317(f317(f242(a903,a903),f317(f317(f31(a903),x41561),x41562)),f41(a903,x41561,x41562))))
% 192.07/191.92 [4168]P2(f317(f317(f226(f910(f909(f904(x41681),f904(x41681)),a898)),f147(x41681,f297(x41681,x41682))),f297(f904(x41681),f147(x41681,x41682))))
% 192.07/191.92 [4384]E(f317(f317(f249(f909(a89,a89),a89,f909(a89,a89),f909(x43841,f909(a89,a89))),f257(f317(f155(a89),f317(f317(f144(f909(a89,x43841),a89),f241(a89,x43841)),x43842)))),f317(f317(f10(x43841,f910(f909(a89,a89),f909(x43841,f909(a89,a89))),a89),f242(x43841,f909(a89,a89))),f258(x43841,x43842))),f256(x43841,x43842))
% 192.07/191.92 [4461]E(f213(a903,f909(x44611,f905(x44611)),f2(a903),f317(f247(x44611,f905(x44611),a903),f317(f18(f910(f905(x44611),a903),x44611),f317(f317(f9(f905(x44611),a903,a903),f317(f317(f10(a903,f910(a903,a903),f905(x44611)),f74(a903)),f179(f905(x44611)))),f72(a903)))),f317(f125(x44611),x44612)),f317(f179(f905(x44611)),x44612))
% 192.07/191.92 [4567]E(f317(f247(f910(f909(x45671,x45671),a898),f910(f909(x45671,x45671),a898),f910(f910(x45672,x45671),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898)))),f317(f317(f9(f910(f909(x45671,x45671),a898),f910(f910(f909(x45671,x45671),a898),f910(f910(x45672,x45671),f910(f909(x45672,x45672),a898))),f910(f910(f909(x45671,x45671),a898),f910(f910(x45672,x45671),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898))))),f317(f317(f10(f910(f910(f910(x45672,x45671),f910(f909(x45672,x45672),a898)),f910(f910(x45672,x45671),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898)))),f910(f910(f910(f909(x45671,x45671),a898),f910(f910(x45672,x45671),f910(f909(x45672,x45672),a898))),f910(f910(f909(x45671,x45671),a898),f910(f910(x45672,x45671),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898))))),f910(f909(x45671,x45671),a898)),f10(f910(f910(x45672,x45671),f910(f909(x45672,x45672),a898)),f910(f910(x45672,x45671),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898))),f910(f909(x45671,x45671),a898))),f317(f317(f10(f910(f910(x45672,x45671),f910(f910(f909(x45672,x45672),a898),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898)))),f910(f910(f910(x45672,x45671),f910(f909(x45672,x45672),a898)),f910(f910(x45672,x45671),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898)))),f910(f909(x45671,x45671),a898)),f20(f910(x45672,x45671),f910(f909(x45672,x45672),a898),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898)))),f317(f317(f10(f910(f910(x45672,x45671),f910(f909(x45672,x45672),a898)),f910(f910(x45672,x45671),f910(f910(f909(x45672,x45672),a898),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898)))),f910(f909(x45671,x45671),a898)),f317(f10(f910(f909(x45672,x45672),a898),f910(f910(f909(x45672,x45672),a898),f909(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898))),f910(x45672,x45671)),f242(f910(f909(x45672,x45672),a898),f910(f909(x45672,x45672),a898)))),f278(x45671,x45672))))),f278(x45671,x45672))),f68(x45671,x45672))
% 192.07/191.92 [4612]~E(f317(f298(x46121),x46122),f178(f910(f910(x46121,a898),a898)))
% 192.07/191.92 [4621]~P2(f317(f317(f162(x46211),f103(x46211)),x46212))
% 192.07/191.92 [4625]~P2(f317(f317(f319(x46251),x46252),f178(f910(x46251,a898))))
% 192.07/191.92 [4633]~P2(f317(f317(f227(f910(x46331,a898)),x46332),f178(f910(x46331,a898))))
% 192.07/191.92 [3505]E(f317(f317(f3(a903),x35051),f317(f317(f74(a903),x35051),x35052)),f2(a903))
% 192.07/191.92 [3508]E(f317(f317(f100(f910(x35081,a898)),x35082),x35082),x35082)
% 192.07/191.92 [3509]E(f317(f317(f91(f910(x35091,a898)),x35092),x35092),x35092)
% 192.07/191.92 [3537]E(f317(f317(f3(f910(x35371,a898)),x35372),x35372),f178(f910(x35371,a898)))
% 192.07/191.92 [3540]E(f317(f133(x35401,x35402),f2(a903)),f178(f910(f909(f904(x35401),f904(x35401)),a898)))
% 192.07/191.92 [3541]E(f317(f317(f74(a903),x35411),f317(a102,x35412)),f317(a102,f317(f317(f74(a903),x35411),x35412)))
% 192.07/191.92 [3552]E(f184(f317(f90(a1),x35521),f317(f90(a1),x35522)),f317(f90(a1),f317(f317(f3(a903),x35521),x35522)))
% 192.07/191.92 [3555]E(f317(f317(f31(a1),f317(f73(a1),x35551)),x35552),f317(f317(f31(a1),x35551),f317(f73(a1),x35552)))
% 192.07/191.92 [3559]E(f317(f30(a1),f317(f292(a1,x35591),x35592)),f317(a94,f317(f317(f3(a1),x35592),x35591)))
% 192.07/191.92 [3562]E(f317(f317(f74(a903),f317(a102,x35621)),x35622),f317(a102,f317(f317(f74(a903),x35621),x35622)))
% 192.07/191.92 [3565]E(f317(f73(f910(x35651,a898)),f317(f73(f910(x35651,a898)),x35652)),x35652)
% 192.07/191.92 [3577]E(f169(x35771,f317(f317(f141(f904(x35771)),f103(x35771)),x35772)),f169(x35771,x35772))
% 192.07/191.92 [3581]E(f317(f317(f74(a903),x35811),f317(f317(f75(a903),x35811),x35812)),f317(f317(f75(a903),x35811),f317(a102,x35812)))
% 192.07/191.92 [3588]E(f317(f317(a4,f317(a5,x35881)),f317(a5,x35882)),f317(a5,f317(f317(f3(a903),x35881),x35882)))
% 192.07/191.92 [3603]E(f317(f317(f75(a1),f317(f73(a1),x36031)),x36032),f317(f73(a1),f317(f317(f75(a1),x36031),x36032)))
% 192.07/191.92 [3605]E(f317(f317(f234(a1),f317(f90(a1),x36051)),x36052),f317(f90(a1),f317(f317(f234(a903),x36051),x36052)))
% 192.07/191.92 [3606]E(f317(f317(f75(a89),f317(a5,x36061)),f317(a5,x36062)),f317(a5,f317(f317(f75(a903),x36061),x36062)))
% 192.07/191.92 [3607]E(f317(f317(f74(a89),f317(a5,x36071)),f317(a5,x36072)),f317(a5,f317(f317(f74(a903),x36071),x36072)))
% 192.07/191.92 [3608]E(f317(f317(f224(a903),f317(a102,x36081)),f317(a102,x36082)),f317(a102,f317(f317(f224(a903),x36081),x36082)))
% 192.07/191.92 [3609]E(f317(f317(f225(a903),f317(a102,x36091)),f317(a102,x36092)),f317(a102,f317(f317(f225(a903),x36091),x36092)))
% 192.07/191.92 [3614]E(f317(f162(a903),f129(a903,f317(f292(a903,x36141),x36142))),f317(f292(a903,x36141),x36142))
% 192.07/191.92 [3615]E(f302(x36151,f317(f317(f299(x36151),x36152),f178(f910(x36151,a898)))),x36152)
% 192.07/191.92 [3619]E(f317(f274(x36191,x36192),f178(f910(f909(x36191,x36192),a898))),f178(f910(x36192,a898)))
% 192.07/191.92 [3620]E(f317(f254(x36201,x36202),f178(f910(f909(x36201,x36202),a898))),f178(f910(x36201,a898)))
% 192.07/191.92 [3624]E(f317(a94,f317(f317(f3(a1),x36241),x36242)),f317(f30(a1),f295(a1,x36242,x36241)))
% 192.07/191.92 [3629]E(f317(f317(f74(a903),x36291),f317(f317(f75(a903),x36292),x36291)),f317(f317(f75(a903),f317(a102,x36292)),x36291))
% 192.07/191.92 [3631]E(f317(f317(f56(x36311),f178(f910(x36311,a898))),x36312),f178(f910(f910(x36311,a898),a898)))
% 192.07/191.92 [3640]E(f317(f179(f904(a903)),f129(a903,f317(f292(a903,x36401),x36402))),f317(f317(f3(a903),x36402),x36401))
% 192.07/191.92 [3655]E(f317(f317(f100(f910(x36551,a898)),f178(f910(x36551,a898))),x36552),x36552)
% 192.07/191.92 [3656]E(f317(f317(f91(f910(x36561,a898)),f232(f910(x36561,a898))),x36562),x36562)
% 192.07/191.92 [3659]E(f317(f317(f74(a1),f317(f73(a1),x36591)),f317(f73(a1),x36592)),f317(f73(a1),f317(f317(f74(a1),x36591),x36592)))
% 192.07/191.92 [3661]E(f317(f317(f75(a1),f317(f93(a1),x36611)),f317(f93(a1),x36612)),f317(f93(a1),f317(f317(f75(a1),x36611),x36612)))
% 192.07/191.92 [3663]E(f317(f317(f75(a1),f317(f90(a1),x36631)),f317(f90(a1),x36632)),f317(f90(a1),f317(f317(f75(a903),x36631),x36632)))
% 192.07/191.92 [3664]E(f317(f317(f74(a1),f317(f93(a1),x36641)),f317(f93(a1),x36642)),f317(f93(a1),f317(f317(f74(a1),x36641),x36642)))
% 192.07/191.92 [3666]E(f317(f317(f74(a1),f317(f90(a1),x36661)),f317(f90(a1),x36662)),f317(f90(a1),f317(f317(f74(a903),x36661),x36662)))
% 192.07/191.92 [3667]E(f317(f317(f31(a1),f317(f90(a1),x36671)),f317(f90(a1),x36672)),f317(f90(a1),f317(f317(f31(a903),x36671),x36672)))
% 192.07/191.92 [3686]E(f317(f317(f8(x36861,a903),f317(f18(a903,x36861),f72(a903))),x36862),f317(f30(x36861),x36862))
% 192.07/191.92 [3691]E(f317(f73(a1),f41(a1,f317(f73(a1),x36911),x36912)),f41(a1,x36911,f317(f73(a1),x36912)))
% 192.07/191.92 [3693]E(f317(f162(a1),f168(x36931,f317(f317(f3(a1),x36932),f72(a1)))),f317(f292(a1,x36931),x36932))
% 192.07/191.92 [3698]P2(f317(f317(f226(a903),x36981),f317(f317(f74(a903),x36982),x36981)))
% 192.07/191.92 [3699]P2(f317(f317(f226(a903),x36991),f317(f317(f74(a903),x36991),x36992)))
% 192.07/191.92 [3701]E(f317(f317(f3(f910(x37011,a898)),f178(f910(x37011,a898))),x37012),f178(f910(x37011,a898)))
% 192.07/191.92 [3702]E(f317(f317(f100(f910(x37021,a898)),f232(f910(x37021,a898))),x37022),f232(f910(x37021,a898)))
% 192.07/191.92 [3703]E(f317(f317(f91(f910(x37031,a898)),f178(f910(x37031,a898))),x37032),f178(f910(x37031,a898)))
% 192.07/191.92 [3710]E(f317(f317(f242(a1,a1),x37101),f317(f73(a1),x37102)),f317(a47,f317(f317(f242(a1,a1),x37101),x37102)))
% 192.07/191.92 [3711]E(f317(f292(a1,f317(f317(f74(a1),x37111),f72(a1))),x37112),f296(a1,x37111,x37112))
% 192.07/191.92 [3722]E(f317(f317(f75(a903),x37221),f317(f317(f31(a903),x37222),x37221)),f317(f317(f3(a903),x37222),f41(a903,x37222,x37221)))
% 192.07/191.92 [3723]E(f317(f317(f75(a1),x37231),f317(f317(f31(a1),x37232),x37231)),f317(f317(f3(a1),x37232),f41(a1,x37232,x37231)))
% 192.07/191.92 [3726]E(f317(f162(a1),f168(f317(f317(f74(a1),x37261),f72(a1)),x37262)),f295(a1,x37261,x37262))
% 192.07/191.92 [3730]P2(f317(f317(f226(f910(x37301,a898)),x37302),x37302))
% 192.07/191.92 [3733]E(f317(f317(f100(f910(x37331,a898)),x37332),f317(f73(f910(x37331,a898)),x37332)),f232(f910(x37331,a898)))
% 192.07/191.92 [3734]E(f317(f317(f91(f910(x37341,a898)),x37342),f317(f73(f910(x37341,a898)),x37342)),f178(f910(x37341,a898)))
% 192.07/191.92 [3742]E(f317(f317(f3(a903),f317(f317(f3(a903),x37421),f72(a903))),x37422),f317(f317(f3(a903),x37421),f317(a102,x37422)))
% 192.07/191.92 [3748]E(f317(f317(f3(f910(x37481,a898)),f232(f910(x37481,a898))),x37482),f317(f73(f910(x37481,a898)),x37482))
% 192.07/191.92 [3749]E(f317(f317(f3(a1),f317(f93(a1),x37491)),f317(f93(a1),x37492)),f317(f93(a1),f317(f317(f74(a1),x37491),f317(f73(a1),x37492))))
% 192.07/191.92 [3762]E(f317(f162(a903),f129(a903,f317(f292(a903,x37621),f317(a102,x37622)))),f293(a903,x37621,x37622))
% 192.07/191.92 [3778]E(f317(f179(f904(f904(x37781))),f50(x37781,x37782)),f317(f317(f234(a903),f317(a102,f317(a102,f2(a903)))),f317(f179(f904(x37781)),x37782)))
% 192.07/191.92 [3796]E(f317(f317(f173(f909(x37961,x37961),a898),f2(a903)),x37962),f297(x37961,f178(f910(f909(x37961,x37961),a898))))
% 192.07/191.92 [3800]P2(f317(f127(a903),f129(a903,f317(f292(a903,x38001),x38002))))
% 192.07/191.92 [3816]E(f317(f300(a1,a903,a94),f293(a1,f317(f90(a1),x38161),f317(f90(a1),x38162))),f293(a903,x38161,x38162))
% 192.07/191.92 [3825]E(f175(a903,f2(a903),f7(a903),f317(f317(f3(a903),x38251),x38252)),f317(f317(f3(a903),x38251),f317(a102,x38252)))
% 192.07/191.92 [3826]E(f317(a94,f317(f317(f3(a1),x38261),f317(f317(f74(a1),x38262),f72(a1)))),f317(f30(a1),f296(a1,x38262,x38261)))
% 192.07/191.92 [3861]E(f317(f317(f144(a903,a903),a102),f129(a903,f317(f292(a903,x38611),x38612))),f129(a903,f317(f292(a903,f317(a102,x38611)),f317(a102,x38612))))
% 192.07/191.92 [3869]E(f317(f162(a1),f168(f317(f317(f74(a1),x38691),f72(a1)),f317(f317(f3(a1),x38692),f72(a1)))),f296(a1,x38691,x38692))
% 192.07/191.92 [3881]P2(f317(f317(f226(f910(x38811,a898)),f178(f910(x38811,a898))),x38812))
% 192.07/191.92 [3885]E(f79(x38851,f317(f317(f9(x38851,x38851,a898),a314),x38852)),x38852)
% 192.07/191.92 [3886]E(f84(x38861,f317(f317(f9(x38861,x38861,a898),a314),x38862)),x38862)
% 192.07/191.92 [3890]E(f317(f162(a903),f129(a903,f317(f292(a903,f317(a102,x38901)),f317(a102,x38902)))),f295(a903,x38901,x38902))
% 192.07/191.92 [3916]E(f317(f317(f244(x39161,x39162),f232(f910(x39161,a898))),f317(f18(f910(x39162,a898),x39161),f232(f910(x39162,a898)))),f232(f910(f909(x39161,x39162),a898)))
% 192.07/191.92 [3949]E(f317(f252(x39491),f317(f317(f10(a898,a898,x39491),a312),x39492)),f317(f73(f910(x39491,a898)),f317(f252(x39491),x39492)))
% 192.07/191.92 [3952]E(f317(f252(x39521),f317(f317(f9(x39521,x39521,a898),a314),x39522)),f317(f317(f299(x39521),x39522),f178(f910(x39521,a898))))
% 192.07/191.92 [3959]E(f317(f317(f74(a1),f317(f317(f3(a1),x39591),x39592)),f317(f317(f3(a1),x39591),x39592)),f317(f317(f3(a1),f317(f317(f74(a1),x39591),x39591)),f317(f317(f74(a1),x39592),x39592)))
% 192.07/191.92 [3960]E(f317(f317(f74(a1),f317(f317(f74(a1),x39601),x39601)),f317(f317(f74(a1),x39602),x39602)),f317(f317(f74(a1),f317(f317(f74(a1),x39601),x39602)),f317(f317(f74(a1),x39601),x39602)))
% 192.07/191.92 [3976]P2(f317(f317(f226(a903),f317(f30(x39761),f317(f162(x39761),x39762))),f317(f179(f904(x39761)),x39762)))
% 192.07/191.92 [3977]P2(f317(f317(f226(a903),f317(f179(f904(x39771)),f142(x39771,x39772))),f317(f179(f904(x39771)),x39772)))
% 192.07/191.92 [3987]E(f317(f252(x39871),f317(f317(f9(x39871,f910(x39871,a898),a898),f319(x39871)),x39872)),x39872)
% 192.07/191.92 [4001]E(f317(f317(f165(x40011),f317(f317(f3(a903),f317(f179(f904(x40011)),x40012)),f72(a903))),x40012),f104(x40011,x40012))
% 192.07/191.92 [4021]E(f175(a903,f2(a903),f317(f317(f10(a903,a903,a903),a102),f317(f224(a903),x40211)),x40212),f317(f317(f224(a903),f317(a102,x40211)),x40212))
% 192.07/191.92 [4026]E(f32(f910(x40261,a898),f317(f300(f910(f909(x40261,x40261),a898),f910(x40261,a898),f271(x40261)),x40262)),f317(f271(x40261),f32(f910(f909(x40261,x40261),a898),x40262)))
% 192.07/191.92 [4027]E(f175(a903,f317(a102,x40271),f317(f317(f10(a903,a903,a903),a102),f317(f225(a903),x40271)),x40272),f317(f317(f225(a903),f317(a102,x40271)),x40272))
% 192.07/191.92 [4029]E(f317(f317(f242(a1,a1),f317(f317(f31(a1),f317(f70(a1),x40291)),f317(f70(a1),x40292))),f41(a1,f317(f70(a1),x40291),f317(f70(a1),x40292))),f49(x40291,x40292))
% 192.07/191.92 [4052]P2(f317(f317(f226(f910(f910(x40521,a898),a898)),x40522),f317(f298(x40521),f32(f910(x40521,a898),x40522))))
% 192.07/191.92 [4084]E(f317(f317(f36(x40841,f910(x40841,a898)),x40842),f317(f317(f9(x40841,f910(x40841,a898),f910(x40841,a898)),f299(x40841)),f178(f910(x40841,a898)))),x40842)
% 192.07/191.92 [4085]E(f317(f317(f279(x40851,x40851,x40851),f317(f276(x40851,x40851),x40852)),f297(x40851,f317(f276(x40851,x40851),x40852))),f317(f276(x40851,x40851),f317(f317(f279(x40851,x40851,x40851),x40852),f297(x40851,x40852))))
% 192.07/191.92 [4148]E(f317(f162(x41481),f317(f132(f904(x41481),f904(x41481),f124(x41481),f103(x41481)),x41482)),f317(f317(f36(f904(x41481),f910(x41481,a898)),f317(f162(f904(x41481)),x41482)),f162(x41481)))
% 192.07/191.92 [4179]E(f317(f317(f100(f910(f909(x41791,x41791),a898)),f297(x41791,f178(f910(f909(x41791,x41791),a898)))),f317(f317(f279(x41791,x41791,x41791),f297(x41791,x41792)),x41792)),f297(x41791,x41792))
% 192.07/191.92 [4215]E(f317(f317(f171(x42151,x42151),x42152),x42152),f317(f317(f144(x42151,f909(x42151,x42151)),f317(f317(f20(x42151,x42151,f909(x42151,x42151)),f242(x42151,x42151)),f7(x42151))),x42152))
% 192.07/191.92 [4326]E(f317(f132(a903,f904(x43261),f317(f9(f904(x43261),a903,a903),f317(f317(f10(a903,f910(a903,a903),f904(x43261)),f225(a903)),f179(f904(x43261)))),f2(a903)),f317(f158(f904(x43261)),x43262)),f317(f179(f904(f904(x43261))),f169(x43261,x43262)))
% 192.07/191.92 [4398]E(f317(f317(f278(f909(a903,f904(x43981)),f904(x43981)),f310(a903,f904(x43981),a230,f135(x43981,x43982))),f317(f317(f20(f904(x43981),f904(x43981),f909(a903,f904(x43981))),f317(f317(f10(a903,f910(f904(x43981),f909(a903,f904(x43981))),f904(x43981)),f242(a903,f904(x43981))),f179(f904(x43981)))),f7(f904(x43981)))),f136(x43981,x43982))
% 192.07/191.92 [4525]E(f317(f252(x45251),f317(f317(f10(f910(f910(x45251,a898),a898),a898,x45251),f81(f910(x45251,a898))),f317(f317(f10(f910(f910(x45251,a898),a898),f910(f910(x45251,a898),a898),x45251),f317(f20(f910(x45251,a898),a898,a898),f317(f317(f10(a898,f910(a898,a898),f910(x45251,a898)),a315),f317(f317(f9(f910(x45251,a898),f910(f910(x45251,a898),a898),a898),f319(f910(x45251,a898))),x45252)))),f319(x45251)))),f32(f910(x45251,a898),x45252))
% 192.07/191.92 [4526]E(f317(f252(x45261),f317(f317(f10(f910(f910(x45261,a898),a898),a898,x45261),f82(f910(x45261,a898))),f317(f317(f10(f910(f910(x45261,a898),a898),f910(f910(x45261,a898),a898),x45261),f317(f20(f910(x45261,a898),a898,a898),f317(f317(f10(a898,f910(a898,a898),f910(x45261,a898)),a320),f317(f317(f9(f910(x45261,a898),f910(f910(x45261,a898),a898),a898),f319(f910(x45261,a898))),x45262)))),f319(x45261)))),f33(f910(x45261,a898),x45262))
% 192.07/191.92 [4634]~P2(f317(f317(f227(a1),f317(f90(a1),x46341)),f317(f73(a1),f317(f90(a1),x46342))))
% 192.07/191.92 [3627]E(f317(f317(f3(a903),f317(f317(f74(a903),x36271),x36272)),x36272),x36271)
% 192.07/191.92 [3628]E(f317(f317(f3(a903),f317(f317(f74(a903),x36281),x36282)),x36281),x36282)
% 192.07/191.92 [3692]E(f317(f317(f74(a903),f317(f317(f3(a903),x36921),x36922)),x36922),f317(f317(f225(a903),x36921),x36922))
% 192.07/191.92 [3803]E(f317(f317(f75(a903),f317(f317(f31(a903),x38031),x38032)),x38032),f317(f317(f3(a903),x38031),f41(a903,x38031,x38032)))
% 192.07/191.92 [3830]E(f317(f162(a903),f129(a903,f317(f292(a903,f317(a102,x38301)),x38302))),f296(a903,x38301,x38302))
% 192.07/191.92 [3838]E(f317(f90(a1),f206(f317(a94,f317(f70(a1),x38381)),f317(a94,f317(f70(a1),x38382)))),f317(f317(a207,x38381),x38382))
% 192.07/191.92 [3840]E(f317(f317(f100(f910(x38401,a898)),f317(f73(f910(x38401,a898)),x38402)),x38402),f232(f910(x38401,a898)))
% 192.07/191.92 [3841]E(f317(f317(f91(f910(x38411,a898)),f317(f73(f910(x38411,a898)),x38412)),x38412),f178(f910(x38411,a898)))
% 192.07/191.92 [3857]P2(f317(f317(f226(a903),f317(f317(f3(a903),x38571),x38572)),x38571))
% 192.07/191.92 [3858]P2(f317(f317(f226(a903),f317(f317(f31(a903),x38581),x38582)),x38581))
% 192.07/191.92 [3882]P2(f317(f317(f227(a903),x38821),f317(a102,f317(f317(f74(a903),x38822),x38821))))
% 192.07/191.92 [3883]P2(f317(f317(f227(a903),x38831),f317(a102,f317(f317(f74(a903),x38831),x38832))))
% 192.07/191.92 [3900]E(f317(f317(f75(a903),f317(a94,f317(f70(a1),x39001))),f317(a94,f317(f70(a1),x39002))),f317(a94,f317(f70(a1),f317(f317(f75(a1),x39001),x39002))))
% 192.07/191.92 [3912]P2(f317(f317(f226(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x39121)),x39122)))
% 192.07/191.92 [3980]E(f317(f275(f904(x39801),f904(x39801),f148(x39801,x39802)),f317(f317(f299(f904(x39801)),f103(x39801)),f178(f910(f904(x39801),a898)))),f317(f317(f299(f904(x39801)),f103(x39801)),f178(f910(f904(x39801),a898))))
% 192.07/191.92 [3999]E(f317(f317(f100(f910(f909(x39991,x39991),a898)),f297(x39991,x39992)),f297(x39991,f178(f910(f909(x39991,x39991),a898)))),f297(x39991,x39992))
% 192.07/191.92 [4011]E(f317(f317(f31(a1),f317(f93(a1),f317(f317(f74(a1),x40111),x40111))),f317(f93(a1),f317(f317(f74(a1),x40112),x40112))),f317(f317(f31(a1),f317(f93(a1),x40111)),f317(f93(a1),x40112)))
% 192.07/191.92 [4074]E(f317(f317(f234(a1),x40741),f317(f93(a903),f317(f317(f74(a1),x40742),x40742))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x40741),f317(f93(a903),x40742))),f317(f317(f20(a1,a1,a1),f75(a1)),f7(a1))))
% 192.07/191.92 [4080]E(f317(f252(f910(x40801,a898)),f317(f317(f9(f910(x40801,a898),f910(x40801,a898),a898),f226(f910(x40801,a898))),x40802)),f317(f298(x40801),x40802))
% 192.07/191.92 [4096]E(f317(f317(f144(a1,a903),a94),f317(f317(f124(a1),f317(f317(f144(a903,a1),f90(a1)),x40961)),f317(f317(f144(a903,a1),f90(a1)),x40962))),f317(f317(f124(a903),x40961),x40962))
% 192.07/191.92 [4126]E(f317(f300(a1,a1,f317(f317(f9(a1,a1,a1),f74(a1)),x41261)),f317(f292(a1,f2(a1)),f317(f317(f3(a1),x41262),x41261))),f317(f292(a1,x41261),x41262))
% 192.07/191.92 [4128]P53(x41281,f317(f317(f3(f910(f909(x41281,x41281),a898)),x41282),f297(x41281,f178(f910(f909(x41281,x41281),a898)))))
% 192.07/191.92 [4146]E(f317(f179(f904(x41461)),f317(f132(f904(x41461),f904(x41461),f124(x41461),f103(x41461)),x41462)),f317(f155(a903),f317(f317(f144(f904(x41461),a903),f179(f904(x41461))),x41462)))
% 192.07/191.92 [4150]P52(x41501,f232(f910(x41501,a898)),f317(f317(f100(f910(f909(x41501,x41501),a898)),x41502),f297(x41501,f178(f910(f909(x41501,x41501),a898)))))
% 192.07/191.92 [4195]E(f175(a903,f2(a903),f317(f317(f10(a903,a903,a903),a102),f317(f317(f9(a903,a903,a903),f224(a903)),x41951)),x41952),f317(f317(f224(a903),x41952),f317(a102,x41951)))
% 192.07/191.92 [4198]E(f175(a903,f317(a102,x41981),f317(f317(f10(a903,a903,a903),a102),f317(f317(f9(a903,a903,a903),f225(a903)),x41981)),x41982),f317(f317(f225(a903),x41982),f317(a102,x41981)))
% 192.07/191.92 [4201]E(f317(f300(x42011,f904(x42011),f317(f317(f9(x42011,f904(x42011),f904(x42011)),f141(x42011)),f103(x42011))),x42012),f164(x42011,x42012,f317(f317(f299(f904(x42011)),f103(x42011)),f178(f910(f904(x42011),a898)))))
% 192.07/191.92 [4203]E(f317(f317(f100(f910(f909(x42031,x42031),a898)),f317(f317(f279(x42031,x42031,x42031),x42032),f297(x42031,x42032))),f297(x42031,f178(f910(f909(x42031,x42031),a898)))),f297(x42031,x42032))
% 192.07/191.92 [4210]P2(f317(f317(f226(f910(f909(x42101,x42101),a898)),f253(x42101,x42102)),f317(f317(f244(x42101,x42101),x42102),f317(f18(f910(x42101,a898),x42101),x42102))))
% 192.07/191.92 [4213]E(f317(f300(a1,a903,a94),f317(f317(f100(f910(a1,a898)),f317(f300(a903,a1,f90(a1)),x42131)),f317(f300(a903,a1,f90(a1)),x42132))),f317(f317(f100(f910(a903,a898)),x42131),x42132))
% 192.07/191.92 [4214]E(f317(f300(a1,a903,a94),f317(f317(f91(f910(a1,a898)),f317(f300(a903,a1,f90(a1)),x42141)),f317(f300(a903,a1,f90(a1)),x42142))),f317(f317(f91(f910(a903,a898)),x42141),x42142))
% 192.07/191.92 [4217]E(f317(f252(x42171),f317(f317(f10(a898,a898,x42171),a312),f317(f317(f9(x42171,f910(x42171,a898),a898),f319(x42171)),x42172))),f317(f73(f910(x42171,a898)),x42172))
% 192.07/191.92 [4244]E(f317(f132(f904(x42441),f904(x42441),f124(x42441),f103(x42441)),f317(f317(f144(f904(x42441),f904(x42441)),f158(x42441)),f317(f158(f904(x42441)),x42442))),f317(f158(x42441),f317(f132(f904(x42441),f904(x42441),f124(x42441),f103(x42441)),x42442)))
% 192.07/191.92 [4270]E(f317(f317(f36(a903,f910(f909(x42701,x42701),a898)),f232(f910(a903,a898))),f317(f317(f9(a903,f910(f909(x42701,x42701),a898),f910(f909(x42701,x42701),a898)),f173(f909(x42701,x42701),a898)),x42702)),f297(x42701,x42702))
% 192.07/191.92 [4288]E(f79(x42881,f317(f317(f10(f910(x42881,a898),a898,x42881),f317(a314,x42882)),f317(f317(f9(x42881,f910(x42881,a898),f910(x42881,a898)),f299(x42881)),f178(f910(x42881,a898))))),f302(x42881,x42882))
% 192.07/191.92 [4296]E(f317(f179(f904(x42961)),f142(x42961,f317(f132(f904(x42961),f904(x42961),f124(x42961),f103(x42961)),x42962))),f317(f30(x42961),f317(f317(f36(f904(x42961),f910(x42961,a898)),f317(f162(f904(x42961)),x42962)),f162(x42961))))
% 192.07/191.92 [4310]E(f317(f317(f100(f910(f909(x43101,x43101),a898)),x43102),f317(f317(f279(x43101,x43101,x43101),f317(f317(f279(x43101,x43101,x43101),x43102),f297(x43101,x43102))),x43102)),f317(f317(f279(x43101,x43101,x43101),x43102),f297(x43101,x43102)))
% 192.07/191.92 [4334]P2(f317(f317(f226(f910(f909(x43341,x43341),a898)),f317(f317(f279(x43341,x43341,x43341),x43342),f297(x43341,x43342))),f317(f317(f244(x43341,x43341),f317(f271(x43341),x43342)),f317(f18(f910(x43341,a898),x43341),f317(f271(x43341),x43342)))))
% 192.07/191.92 [4375]E(f317(f252(f904(x43751)),f317(f317(f9(f904(x43751),f910(x43751,a898),a898),f317(f317(f10(f910(x43751,a898),f910(f910(x43751,a898),a898),f904(x43751)),f226(f910(x43751,a898))),f162(x43751))),x43752)),f151(x43751,x43752))
% 192.07/191.92 [4386]E(f317(f146(f904(x43861),x43861,f103(x43861),f317(f317(f10(f904(x43861),f910(f904(x43861),f904(x43861)),x43861),f317(f9(f904(x43861),f904(x43861),f904(x43861)),f124(x43861))),f317(f317(f9(x43861,f904(x43861),f904(x43861)),f141(x43861)),f103(x43861)))),x43862),f317(f157(x43861),x43862))
% 192.07/191.92 [4426]P25(f910(x44261,x44262),f910(f909(x44261,x44262),a898),f317(f317(f10(f910(f909(x44261,x44262),a898),f910(f909(x44261,x44262),a898),f910(x44261,x44262)),f252(f909(x44261,x44262))),f317(f317(f10(f910(x44261,f910(x44262,a898)),f910(f909(x44261,x44262),a898),f910(x44261,x44262)),f247(x44261,x44262,a898)),f317(f10(x44262,f910(x44262,a898),x44261),f317(f9(x44262,x44262,a898),a314)))),f232(f910(f910(x44261,x44262),a898)))
% 192.07/191.92 [4431]E(f41(a1,f317(f93(a1),f317(f317(f74(a1),x44311),x44311)),f317(f93(a1),f317(f317(f74(a1),x44312),x44312))),f317(f317(f75(a1),f317(f93(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)))),f41(a1,f317(f93(a1),x44311),f317(f93(a1),x44312))))
% 192.07/191.92 [4475]E(f317(f317(f36(x44751,f910(f909(x44751,x44751),a898)),x44752),f317(f317(f9(x44751,f910(f909(x44751,x44751),a898),f910(f909(x44751,x44751),a898)),f317(f317(f10(f909(x44751,x44751),f910(f910(f909(x44751,x44751),a898),f910(f909(x44751,x44751),a898)),x44751),f299(f909(x44751,x44751))),f317(f317(f20(x44751,x44751,f909(x44751,x44751)),f242(x44751,x44751)),f7(x44751)))),f178(f910(f909(x44751,x44751),a898)))),f253(x44751,x44752))
% 192.07/191.92 [4483]E(f192(x44831,f317(f317(f242(a1,a1),f317(f73(a1),f317(f317(f67(f909(a1,a1),a1,x44831,f241(a1,a1)),f202(x44831)),x44832))),f317(f317(f67(f909(a1,a1),a1,x44831,f246(a1,a1)),f202(x44831)),x44832))),f217(x44831,x44832))
% 192.07/191.92 [4564]E(f317(f252(f910(x45641,a898)),f317(f317(f10(f910(f910(x45641,a898),a898),a898,f910(x45641,a898)),f81(f910(x45641,a898))),f317(f317(f9(f910(x45641,a898),f910(f910(x45641,a898),a898),f910(f910(x45641,a898),a898)),f317(f317(f10(f910(f910(x45641,a898),f910(a898,a898)),f910(f910(f910(x45641,a898),a898),f910(f910(x45641,a898),a898)),f910(x45641,a898)),f20(f910(x45641,a898),a898,a898)),f317(f317(f10(f910(f910(x45641,a898),a898),f910(f910(x45641,a898),f910(a898,a898)),f910(x45641,a898)),f317(f10(a898,f910(a898,a898),f910(x45641,a898)),a315)),f317(f317(f9(f910(x45641,a898),f910(f910(x45641,a898),f910(x45641,a898)),f910(f910(x45641,a898),a898)),f317(f317(f10(f910(f910(x45641,a898),a898),f910(f910(f910(x45641,a898),f910(x45641,a898)),f910(f910(x45641,a898),a898)),f910(x45641,a898)),f10(f910(x45641,a898),a898,f910(x45641,a898))),a314)),f73(f910(x45641,a898)))))),f317(f317(f10(f910(f910(x45641,a898),a898),a898,f910(x45641,a898)),f317(f319(f910(x45641,a898)),x45642)),f298(x45641))))),f317(f298(x45641),f317(f73(f910(x45641,a898)),x45642)))
% 192.07/191.92 [4632]~E(f317(f317(f74(a1),x46321),x46321),f317(f317(f3(a1),f317(f317(f74(a1),x46322),x46322)),a87))
% 192.07/191.92 [4637]~P2(f317(f317(f227(a903),f317(f317(f74(a903),x46371),x46372)),x46372))
% 192.07/191.92 [4638]~P2(f317(f317(f227(a903),f317(f317(f74(a903),x46381),x46382)),x46381))
% 192.07/191.92 [3917]E(f317(f317(f3(a903),x39171),f317(f317(f75(a903),f317(f317(f31(a903),x39171),x39172)),x39172)),f41(a903,x39171,x39172))
% 192.07/191.92 [3918]E(f317(f317(f3(a1),x39181),f317(f317(f75(a1),f317(f317(f31(a1),x39181),x39182)),x39182)),f41(a1,x39181,x39182))
% 192.07/191.92 [3950]E(f317(f317(f144(a903,x39501),f317(f154(x39501),x39502)),f129(a903,f317(f292(a903,f2(a903)),f317(f179(f904(x39501)),x39502)))),x39502)
% 192.07/191.92 [4007]E(f317(f275(x40071,x40071,f297(x40071,f178(f910(f909(x40071,x40071),a898)))),x40072),x40072)
% 192.07/191.92 [4131]E(f297(x41311,f317(f317(f3(f910(f909(x41311,x41311),a898)),x41312),f297(x41311,f178(f910(f909(x41311,x41311),a898))))),f297(x41311,x41312))
% 192.07/191.92 [4132]E(f297(x41321,f317(f317(f100(f910(f909(x41321,x41321),a898)),x41322),f297(x41321,f178(f910(f909(x41321,x41321),a898))))),f297(x41321,x41322))
% 192.07/191.92 [4182]E(f317(f317(f3(a1),f317(f317(f3(a1),f317(f317(f74(a1),x41821),x41821)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x41822),x41822)),a87)),f317(f317(f74(a1),f317(f317(f3(a1),x41821),x41822)),f317(f317(f3(a1),x41821),x41822)))
% 192.07/191.92 [4222]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42221),x42222)),f317(f317(f74(a1),x42221),x42222))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x42221),x42221)),f317(f317(f3(a1),f317(f317(f74(a1),x42222),x42222)),a87)))
% 192.07/191.92 [4247]E(f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),x42471),x42471)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x42472),x42472)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),x42471),f317(f317(f3(a1),x42472),a87))),f317(f317(f74(a1),x42471),f317(f317(f3(a1),x42472),a87))))
% 192.07/191.92 [4258]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),x42581),x42582)),f317(f317(f3(a1),x42581),x42582))),a87),f317(f317(f3(a1),f317(f317(f3(a1),f317(f317(f74(a1),x42581),x42581)),a87)),f317(f317(f74(a1),x42582),x42582)))
% 192.07/191.92 [4259]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42591),x42592)),f317(f317(f74(a1),x42591),x42592))),a87),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),x42591),x42591)),a87)),f317(f317(f74(a1),x42592),x42592)))
% 192.07/191.92 [4307]E(f317(f90(a1),f317(f317(f31(a903),f317(f317(f75(a903),f317(a94,f317(f70(a1),x43071))),f317(a94,f317(f70(a1),x43072)))),f206(f317(a94,f317(f70(a1),x43071)),f317(a94,f317(f70(a1),x43072))))),f208(x43071,x43072))
% 192.07/191.92 [4352]E(f317(f317(f249(f909(a89,a89),a89,f909(a89,a89),f909(x43521,f909(a89,a89))),f257(f317(a5,f317(f179(f904(x43521)),x43522)))),f317(f317(f10(x43521,f910(f909(a89,a89),f909(x43521,f909(a89,a89))),a89),f242(x43521,f909(a89,a89))),f317(f317(f10(a903,x43521,a89),f317(f154(x43521),x43522)),a22))),f265(x43521,x43522))
% 192.07/191.92 [4432]E(f317(f132(a903,f904(x44321),f317(f9(f904(x44321),a903,a903),f317(f317(f10(a903,f910(a903,a903),f904(x44321)),f225(a903)),f179(f904(x44321)))),f2(a903)),f317(f158(f904(x44321)),f169(x44321,x44322))),f317(f179(f904(f904(x44321))),f317(f126(f904(x44321),f317(f317(f10(a898,a898,f904(x44321)),a312),f317(f317(f9(f904(x44321),f904(x44321),a898),a314),f103(x44321)))),x44322)))
% 192.07/191.92 [4438]E(f317(f317(f36(a903,f910(x44381,a898)),f232(f910(a903,a898))),f317(f317(f9(a903,f910(a903,f910(x44381,a898)),f910(x44381,a898)),f317(f317(f10(f910(a903,a898),f910(f910(a903,f910(x44381,a898)),f910(x44381,a898)),a903),f36(a903,f910(x44381,a898))),f292(a903,f2(a903)))),x44382)),f317(f317(f36(a903,f910(x44381,a898)),f232(f910(a903,a898))),x44382))
% 192.07/191.92 [4460]P2(f317(f29(a903),f317(f252(a903),f317(f317(f20(a903,a898,a898),f317(f317(f10(a898,f910(a898,a898),a903),a315),x44601)),f317(f317(f9(a903,a903,a898),f227(a903)),x44602)))))
% 192.07/191.92 [4572]E(f317(f252(f909(f904(x45721),f904(x45721))),f317(f247(f904(x45721),f904(x45721),a898),f317(f317(f20(f904(x45721),f910(f904(x45721),a898),f910(f904(x45721),a898)),f317(f317(f10(f910(f904(x45721),f910(a898,a898)),f910(f910(f904(x45721),a898),f910(f904(x45721),a898)),f904(x45721)),f20(f904(x45721),a898,a898)),f317(f317(f10(f910(f904(x45721),a898),f910(f904(x45721),f910(a898,a898)),f904(x45721)),f317(f10(a898,f910(a898,a898),f904(x45721)),a316)),f317(f317(f9(f904(x45721),f910(f904(x45721),a903),f910(f904(x45721),a898)),f317(f317(f10(f910(a903,a898),f910(f910(f904(x45721),a903),f910(f904(x45721),a898)),f904(x45721)),f10(a903,a898,f904(x45721))),f317(f317(f10(a903,f910(a903,a898),f904(x45721)),f227(a903)),f179(f904(x45721))))),f179(f904(x45721)))))),f317(f317(f20(f904(x45721),f910(f904(x45721),a898),f910(f904(x45721),a898)),f317(f317(f10(f910(f904(x45721),f910(a898,a898)),f910(f910(f904(x45721),a898),f910(f904(x45721),a898)),f904(x45721)),f20(f904(x45721),a898,a898)),f317(f317(f10(f910(f904(x45721),a898),f910(f904(x45721),f910(a898,a898)),f904(x45721)),f317(f10(a898,f910(a898,a898),f904(x45721)),a315)),f317(f317(f9(f904(x45721),f910(f904(x45721),a903),f910(f904(x45721),a898)),f317(f317(f10(f910(a903,a898),f910(f910(f904(x45721),a903),f910(f904(x45721),a898)),f904(x45721)),f10(a903,a898,f904(x45721))),f317(f317(f10(a903,f910(a903,a898),f904(x45721)),a314),f179(f904(x45721))))),f179(f904(x45721)))))),f317(f317(f9(f904(x45721),f910(f909(f904(x45721),f904(x45721)),a898),f910(f904(x45721),a898)),f317(f317(f10(f910(f904(x45721),f910(f910(f909(f904(x45721),f904(x45721)),a898),a898)),f910(f910(f909(f904(x45721),f904(x45721)),a898),f910(f904(x45721),a898)),f904(x45721)),f9(f904(x45721),f910(f909(f904(x45721),f904(x45721)),a898),a898)),f317(f317(f10(f910(f904(x45721),f909(f904(x45721),f904(x45721))),f910(f904(x45721),f910(f910(f909(f904(x45721),f904(x45721)),a898),a898)),f904(x45721)),f317(f10(f909(f904(x45721),f904(x45721)),f910(f910(f909(f904(x45721),f904(x45721)),a898),a898),f904(x45721)),f319(f909(f904(x45721),f904(x45721))))),f242(f904(x45721),f904(x45721))))),f135(x45721,x45722)))))),f136(x45721,x45722))
% 192.07/191.92 [4250]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42501),x42502)),f317(f317(f75(a1),x42501),x42502))),x42502),f317(f317(f75(a1),f317(f317(f3(a1),f317(f317(f74(a1),x42501),x42501)),a87)),x42502))
% 192.07/191.92 [4351]E(f317(a94,f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x43511),x43512)),f178(f910(f909(a903,a903),a898)))))),f317(f317(f3(a903),x43511),x43512))
% 192.07/191.92 [4355]E(f317(f317(f279(x43551,x43551,x43551),f317(f317(f100(f910(f909(x43551,x43551),a898)),x43552),f297(x43551,f178(f910(f909(x43551,x43551),a898))))),f297(x43551,f317(f317(f100(f910(f909(x43551,x43551),a898)),x43552),f297(x43551,f178(f910(f909(x43551,x43551),a898)))))),f297(x43551,x43552))
% 192.07/191.92 [4392]E(f258(x43921,f317(f126(f909(a89,x43921),f317(f247(a89,x43921,a898),f317(f317(f10(a898,f910(x43921,a898),a89),f18(a898,x43921)),f317(f227(a89),f2(a89))))),x43922)),f258(x43921,x43922))
% 192.07/191.92 [4393]E(f256(x43931,f317(f126(f909(a89,x43931),f317(f247(a89,x43931,a898),f317(f317(f10(a898,f910(x43931,a898),a89),f18(a898,x43931)),f317(f227(a89),f2(a89))))),x43932)),f256(x43931,x43932))
% 192.07/191.92 [4395]E(f317(f73(a1),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x43951),x43952)),f178(f910(f909(a903,a903),a898)))))),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x43952),x43951)),f178(f910(f909(a903,a903),a898))))))
% 192.07/191.92 [4451]E(f317(f317(f278(f904(a903),x44511),f135(a903,a230)),f317(f317(f9(x44511,f904(f910(x44511,a903)),f904(a903)),f317(f317(f10(f910(f910(x44511,a903),a903),f910(f904(f910(x44511,a903)),f904(a903)),x44511),f144(f910(x44511,a903),a903)),f317(f9(f910(x44511,a903),x44511,a903),f7(f910(x44511,a903))))),x44512)),f143(x44511,x44512))
% 192.07/191.92 [4472]E(f317(f317(f80(a1,a903),f317(f93(a1),f317(f317(f74(a1),x44721),a87))),f317(f317(f20(a1,a903,a903),f317(f317(f9(a1,a903,f910(a903,a903)),f317(f317(f10(a898,f910(a903,f910(a903,a903)),a1),f86(a903)),a183)),f2(a903))),f317(f317(f10(a903,a903,a1),a102),f317(f317(f10(a903,a903,a1),f317(f224(a903),x44722)),a94)))),f317(f317(f224(a903),f317(a102,x44722)),f317(f93(a903),x44721)))
% 192.07/191.92 [4473]E(f317(f317(f80(a1,a903),f317(f93(a1),f317(f317(f74(a1),x44731),a87))),f317(f317(f20(a1,a903,a903),f317(f317(f9(a1,a903,f910(a903,a903)),f317(f317(f10(a898,f910(a903,f910(a903,a903)),a1),f86(a903)),a183)),f317(a102,x44732))),f317(f317(f10(a903,a903,a1),a102),f317(f317(f10(a903,a903,a1),f317(f225(a903),x44732)),a94)))),f317(f317(f225(a903),f317(a102,x44732)),f317(f93(a903),x44731)))
% 192.07/191.92 [4493]E(f317(f132(f904(x44931),f904(x44931),f124(x44931),f103(x44931)),f317(f317(f144(f904(x44931),f904(x44931)),f146(f904(x44931),x44931,f103(x44931),f317(f317(f10(f904(x44931),f910(f904(x44931),f904(x44931)),x44931),f18(f904(x44931),f904(x44931))),f317(f317(f9(x44931,f904(x44931),f904(x44931)),f141(x44931)),f103(x44931))))),x44932)),f317(f317(f144(f904(x44931),x44931),f131(x44931)),f317(f126(f904(x44931),f317(f317(f10(a898,a898,f904(x44931)),a312),f317(f317(f9(f904(x44931),f904(x44931),a898),a314),f103(x44931)))),x44932)))
% 192.07/191.92 [4555]E(f317(f247(a1,a1,a898),f317(f317(f9(a1,f910(a1,a898),f910(a1,a898)),f317(f317(f10(f910(a1,f910(a898,a898)),f910(f910(a1,a898),f910(a1,a898)),a1),f20(a1,a898,a898)),f317(f317(f10(f910(a1,a898),f910(a1,f910(a898,a898)),a1),f317(f10(a898,f910(a898,a898),a1),a315)),f317(f317(f10(f910(a1,a1),f910(a1,a898),a1),f317(f10(a1,a898,a1),f317(a314,x45551))),f317(f317(f10(a1,f910(a1,a1),a1),f74(a1)),f317(f75(a1),x45552)))))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f317(f10(a898,a898,a1),f317(a320,f317(f317(f227(a1),f2(a1)),x45552))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),f317(f317(f9(a1,a1,a898),f227(a1)),x45552))))),f317(f317(f10(a898,a898,a1),f317(a320,f317(a312,f317(f317(f227(a1),f2(a1)),x45552)))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f227(a1),x45552))),f317(f317(f9(a1,a1,a898),f226(a1)),f2(a1))))))),f45(x45551,x45552))
% 192.07/191.92 [4558]E(f317(f252(x45581),f317(f317(f10(f910(a903,a898),a898,x45581),f81(a903)),f317(f317(f9(x45581,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),x45581),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),x45581),f317(f10(a898,f910(a898,a898),a903),a315)),f317(f317(f9(x45581,f910(a903,x45581),f910(a903,a898)),f317(f317(f10(f910(x45581,a898),f910(f910(a903,x45581),f910(a903,a898)),x45581),f10(x45581,a898,a903)),a314)),f317(f154(x45581),x45582))))),f317(f317(f9(a903,a903,a898),f227(a903)),f317(f179(f904(x45581)),x45582))))),f317(f162(x45581),x45582))
% 192.07/191.92 [4365]E(f317(f317(f3(a1),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),x43651),a87)),x43652)),f317(f317(f3(a1),f317(f317(f74(a1),x43651),a87)),x43652))),a87),f317(f317(f3(a1),f317(f317(f74(a1),x43651),x43651)),f317(f317(f3(a1),f317(f317(f74(a1),x43652),x43652)),a87)))
% 192.07/191.92 [4488]E(f317(f132(f904(f904(x44881)),f904(f904(x44881)),f124(f904(x44881)),f103(f904(x44881))),f317(f317(f144(f904(x44881),f904(f904(x44881))),f146(f904(f904(x44881)),x44881,f103(f904(x44881)),f317(f18(f910(f904(x44881),f904(f904(x44881))),x44881),f317(f317(f9(f904(x44881),f904(f904(x44881)),f904(f904(x44881))),f141(f904(x44881))),f103(f904(x44881)))))),x44882)),f317(f317(f144(f904(x44881),f904(x44881)),f161(x44881)),f317(f126(f904(x44881),f317(f317(f10(a898,a898,f904(x44881)),a312),f317(f317(f9(f904(x44881),f904(x44881),a898),a314),f103(x44881)))),x44882)))
% 192.07/191.92 [4498]E(f317(f317(f80(a1,a903),f317(f93(a1),f317(f317(f74(a1),x44981),a87))),f317(f317(f20(a1,a903,a903),f317(f317(f9(a1,a903,f910(a903,a903)),f317(f317(f10(a898,f910(a903,f910(a903,a903)),a1),f86(a903)),a183)),f2(a903))),f317(f317(f10(a903,a903,a1),a102),f317(f317(f9(a1,a903,a903),f317(f317(f10(a903,f910(a903,a903),a1),f224(a903)),a94)),x44982)))),f317(f317(f224(a903),f317(f93(a903),x44981)),f317(a102,x44982)))
% 192.07/191.92 [4499]E(f317(f317(f80(a1,a903),f317(f93(a1),f317(f317(f74(a1),x44991),a87))),f317(f317(f20(a1,a903,a903),f317(f317(f9(a1,a903,f910(a903,a903)),f317(f317(f10(a898,f910(a903,f910(a903,a903)),a1),f86(a903)),a183)),f317(a102,x44992))),f317(f317(f10(a903,a903,a1),a102),f317(f317(f9(a1,a903,a903),f317(f317(f10(a903,f910(a903,a903),a1),f225(a903)),a94)),x44992)))),f317(f317(f225(a903),f317(f93(a903),x44991)),f317(a102,x44992)))
% 192.07/191.92 [4487]E(f317(f247(x44871,x44871,a898),f317(f317(f20(x44871,a898,f910(x44871,a898)),f317(f317(f10(f910(x44871,f910(a898,a898)),f910(a898,f910(x44871,a898)),x44871),f9(x44871,a898,a898)),f317(f317(f10(f910(x44871,a898),f910(x44871,f910(a898,a898)),x44871),f317(f10(a898,f910(a898,a898),x44871),a315)),a314))),x44872)),f253(x44871,x44872))
% 192.07/191.92 [4532]E(f317(f317(f31(a903),x45321),f317(f317(f74(a903),f317(f93(a903),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))),x45322)),f317(f317(f31(a903),x45321),f317(a102,f317(a102,f317(a102,x45322)))))
% 192.07/191.92 [4533]E(f41(a903,x45331,f317(f317(f74(a903),f317(f93(a903),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))),x45332)),f41(a903,x45331,f317(a102,f317(a102,f317(a102,x45332)))))
% 192.07/191.92 [4534]E(f41(a903,f317(f317(f74(a903),f317(f93(a903),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))),x45341),x45342),f41(a903,f317(a102,f317(a102,f317(a102,x45341))),x45342))
% 192.07/191.92 [4546]E(f113(f317(x45461,f317(f317(f75(a89),f317(f93(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))),x45462))),f317(f190(x45461),x45462))
% 192.07/191.92 [4547]E(f317(f317(f31(a903),f317(f317(f74(a903),f317(f93(a903),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))),x45471)),x45472),f317(f317(f31(a903),f317(a102,f317(a102,f317(a102,x45471)))),x45472))
% 192.07/191.92 [4599]~E(f116(x45991,x45992,x45993),f109(x45991))
% 192.07/191.92 [3356]E(f317(f182(x33561,x33562),x33563),f111(x33561,x33562))
% 192.07/191.92 [3375]E(f317(f189(x33751,x33752),x33753),f317(f119(x33751),x33752))
% 192.07/191.92 [3451]E(f317(f317(f144(x34511,x34512),x34513),f103(x34511)),f103(x34512))
% 192.07/191.92 [3491]E(f317(f174(x34911,x34912,x34913),f2(a903)),x34912)
% 192.07/191.92 [3493]E(f317(f317(f171(x34931,x34932),x34933),f103(x34932)),f103(f909(x34931,x34932)))
% 192.07/191.92 [3506]E(f317(f179(f904(x35061)),f159(x35061,x35062,x35063)),x35062)
% 192.07/191.92 [3525]E(f79(x35251,f57(x35251,x35252,x35253)),f317(f58(x35251,x35252),x35253))
% 192.07/191.92 [3529]E(f233(x35291,x35292,f233(x35292,x35291,x35293)),x35293)
% 192.07/191.92 [3549]E(f317(f158(x35491),f159(x35491,x35492,x35493)),f159(x35491,x35492,x35493))
% 192.07/191.92 [3574]E(f130(x35741,x35742,f142(x35741,x35743)),f142(x35741,f130(x35741,x35742,x35743)))
% 192.07/191.92 [3593]E(f317(f241(f904(x35931),f904(x35931)),f156(x35931,x35932,x35933)),f317(f126(x35931,x35932),x35933))
% 192.07/191.92 [3636]E(f317(f317(f141(x36361),x36362),f159(x36361,x36363,x36362)),f159(x36361,f317(a102,x36363),x36362))
% 192.07/191.92 [3668]E(f19(x36681,x36682,x36683,f2(a89)),x36682)
% 192.07/191.92 [3669]E(f21(x36691,x36692,x36693,f2(a89)),x36692)
% 192.07/191.92 [3670]E(f175(x36701,x36702,x36703,f2(a903)),x36702)
% 192.07/191.92 [3677]E(f153(x36771,x36772,x36773,f103(x36771)),f103(x36772))
% 192.07/191.92 [3678]E(f120(x36781,x36782,x36783,f109(x36781)),f109(x36782))
% 192.07/191.92 [3684]E(f317(f317(f154(x36841),f317(f317(f141(x36841),x36842),x36843)),f2(a903)),x36842)
% 192.07/191.92 [3712]E(f55(x37121,x37122,f103(x37121),x37123),f103(f909(x37121,x37122)))
% 192.07/191.92 [3732]P25(x37321,x37322,x37323,f178(f910(x37321,a898)))
% 192.07/191.92 [3834]E(f255(x38341,x38342,x38343),f317(f242(f910(a89,f910(a898,f906(f905(x38341)))),f909(a89,a89)),f37(x38341)))
% 192.07/191.92 [3891]E(f317(f67(x38911,x38912,x38911,x38913),f25(x38911)),x38913)
% 192.07/191.92 [4066]P2(f317(f317(f319(f909(x40661,x40661)),f317(f317(f242(x40661,x40661),x40662),x40662)),f297(x40661,x40663)))
% 192.07/191.92 [4642]~P2(f317(f317(f319(f909(f904(x46421),f904(x46421))),f317(f317(f242(f904(x46421),f904(x46421)),x46422),f103(x46421))),f135(x46421,x46423)))
% 192.07/191.92 [4643]~P2(f317(f317(f319(f909(f904(x46431),f904(x46431))),f317(f317(f242(f904(x46431),f904(x46431)),x46432),f103(x46431))),f137(x46431,x46433)))
% 192.07/191.92 [4644]~P2(f317(f317(f319(f909(f904(x46441),f904(x46441))),f317(f317(f242(f904(x46441),f904(x46441)),x46442),f103(x46441))),f147(x46441,x46443)))
% 192.07/191.92 [4645]~P2(f317(f317(f319(f909(f904(x46451),f904(x46451))),f317(f317(f242(f904(x46451),f904(x46451)),f103(x46451)),x46452)),f135(x46451,x46453)))
% 192.07/191.92 [4646]~P2(f317(f317(f319(f909(f904(x46461),f904(x46461))),f317(f317(f242(f904(x46461),f904(x46461)),f103(x46461)),x46462)),f147(x46461,x46463)))
% 192.07/191.92 [3426]E(f317(f317(f191(x34261),x34262),x34263),f192(x34261,f205(x34262,x34263)))
% 192.07/191.92 [3480]E(f317(f276(x34801,x34802),f317(f276(x34802,x34801),x34803)),x34803)
% 192.07/191.92 [3501]E(f317(f317(f171(x35011,x35012),f103(x35011)),x35013),f103(f909(x35011,x35012)))
% 192.07/191.92 [3504]E(f166(x35041,x35042,f317(f272(a903),x35043)),f317(f317(f165(x35041),x35043),x35042))
% 192.07/191.92 [3521]E(f142(x35211,f317(f126(x35211,x35212),x35213)),f317(f126(x35211,x35212),f142(x35211,x35213)))
% 192.07/191.92 [3523]E(f317(f274(x35231,x35232),f317(f276(x35232,x35231),x35233)),f317(f254(x35232,x35231),x35233))
% 192.07/191.92 [3524]E(f317(f254(x35241,x35242),f317(f276(x35242,x35241),x35243)),f317(f274(x35242,x35241),x35243))
% 192.07/191.92 [3542]E(f317(f126(x35421,x35422),f317(f158(x35421),x35423)),f317(f158(x35421),f317(f126(x35421,x35422),x35423)))
% 192.07/191.92 [3554]E(f317(f317(f128(x35541),x35542),f317(f161(x35541),x35543)),f317(f317(f128(x35541),f317(a102,x35542)),x35543))
% 192.07/191.92 [3570]E(f317(f300(x35701,x35702,x35703),f178(f910(x35701,a898))),f178(f910(x35702,a898)))
% 192.07/191.92 [3571]E(f317(f275(x35711,x35712,x35713),f178(f910(x35711,a898))),f178(f910(x35712,a898)))
% 192.07/191.92 [3572]E(f317(f301(x35721,x35722,x35723),f178(f910(x35722,a898))),f178(f910(x35721,a898)))
% 192.07/191.92 [3573]E(f317(f301(x35731,x35732,x35733),f232(f910(x35732,a898))),f232(f910(x35731,a898)))
% 192.07/191.92 [3599]E(f110(x35991,f116(f905(x35991),x35992,x35993)),f106(x35991,x35992,f110(x35991,x35993)))
% 192.07/191.92 [3601]E(f317(f317(f299(x36011),x36012),f317(f162(x36011),x36013)),f317(f162(x36011),f130(x36011,x36012,x36013)))
% 192.07/191.92 [3688]E(f317(f300(f909(x36881,x36882),x36882,f246(x36881,x36882)),x36883),f317(f274(x36881,x36882),x36883))
% 192.07/191.92 [3689]E(f317(f300(f909(x36891,x36892),x36891,f241(x36891,x36892)),x36893),f317(f254(x36891,x36892),x36893))
% 192.07/191.92 [3704]E(f317(f162(x37041),f159(x37041,f317(a102,x37042),x37043)),f317(f317(f299(x37041),x37043),f178(f910(x37041,a898))))
% 192.07/191.92 [3761]E(f317(f317(f242(x37611,x37612),f317(f241(x37611,x37612),x37613)),f317(f246(x37611,x37612),x37613)),x37613)
% 192.07/191.92 [3768]E(f317(f179(f905(x37681)),f116(x37681,x37682,x37683)),f317(f317(f74(a903),f317(f179(f905(x37681)),x37683)),f317(a102,f2(a903))))
% 192.07/191.92 [3770]E(f317(f317(f247(x37701,x37702,x37701),f18(x37701,x37702)),x37703),f317(f241(x37701,x37702),x37703))
% 192.07/191.92 [3896]E(f317(f67(x38961,x38961,x38962,f25(x38961)),x38963),x38963)
% 192.07/191.92 [3903]E(f317(f317(f124(x39031),f159(x39031,x39032,x39033)),f317(f317(f141(x39031),x39033),f103(x39031))),f317(f317(f141(x39031),x39033),f159(x39031,x39032,x39033)))
% 192.07/191.92 [4075]P2(f317(f317(f226(f910(x40751,a898)),f317(f162(x40751),f317(f126(x40751,x40752),x40753))),f317(f162(x40751),x40753)))
% 192.07/191.92 [4117]P2(f317(f317(f226(f910(x41171,a898)),f317(f162(x41171),f317(f317(f165(x41171),x41172),x41173))),f317(f162(x41171),x41173)))
% 192.07/191.92 [4118]P2(f317(f317(f226(f910(x41181,a898)),f317(f162(x41181),f317(f317(f128(x41181),x41182),x41183))),f317(f162(x41181),x41183)))
% 192.07/191.92 [4122]P2(f317(f317(f226(f910(x41221,a898)),f317(f162(x41221),f166(x41221,x41222,x41223))),f317(f162(x41221),x41222)))
% 192.07/191.92 [4123]P2(f317(f317(f226(f910(x41231,a898)),f317(f162(x41231),f160(x41231,x41232,x41233))),f317(f162(x41231),x41233)))
% 192.07/191.92 [4144]P25(f909(x41441,x41442),f909(x41442,x41441),f317(f247(x41441,x41442,f909(x41442,x41441)),f317(f9(x41442,x41441,f909(x41442,x41441)),f242(x41442,x41441))),x41443)
% 192.07/191.92 [4155]E(f317(f317(f317(f173(f904(x41551),f904(x41551)),f41(a903,x41552,f317(f179(f904(x41551)),x41553))),f157(x41551)),x41553),f317(f317(f317(f173(f904(x41551),f904(x41551)),x41552),f157(x41551)),x41553))
% 192.07/191.92 [4199]P2(f317(f317(f319(f909(f904(x41991),f904(x41991))),f317(f317(f242(f904(x41991),f904(x41991)),x41992),x41992)),f148(x41991,f297(x41991,x41993))))
% 192.07/191.92 [4338]E(f79(f909(x43381,x43382),f317(f317(f20(f909(x43381,x43382),x43382,a898),f317(f317(f10(x43381,f910(x43382,a898),f909(x43381,x43382)),x43383),f241(x43381,x43382))),f246(x43381,x43382))),f79(f909(x43381,x43382),f317(f247(x43381,x43382,a898),x43383)))
% 192.07/191.92 [4339]E(f84(f909(x43391,x43392),f317(f317(f20(f909(x43391,x43392),x43392,a898),f317(f317(f10(x43391,f910(x43392,a898),f909(x43391,x43392)),x43393),f241(x43391,x43392))),f246(x43391,x43392))),f84(f909(x43391,x43392),f317(f247(x43391,x43392,a898),x43393)))
% 192.07/191.92 [4372]E(f317(f317(f278(f909(a903,x43721),x43721),f310(a903,x43721,a230,x43722)),f317(f317(f20(x43721,x43721,f909(a903,x43721)),f317(f317(f10(a903,f910(x43721,f909(a903,x43721)),x43721),f242(a903,x43721)),x43723)),f7(x43721))),f311(x43721,x43723,x43722))
% 192.07/191.92 [4434]E(f317(f248(x44341,x44341,x44342,x44342,f7(x44341),f7(x44342)),x44343),x44343)
% 192.07/191.92 [4507]E(f317(f132(f904(f904(x45071)),f904(f904(x45071)),f124(f904(x45071)),f103(f904(x45071))),f317(f317(f144(f904(x45071),f904(f904(x45071))),f317(f317(f9(f904(x45071),f904(x45071),f904(f904(x45071))),f317(f317(f10(f910(x45071,f904(x45071)),f910(f904(x45071),f904(f904(x45071))),f904(x45071)),f144(x45071,f904(x45071))),f317(f9(x45071,f904(x45071),f904(x45071)),f141(x45071)))),x45072)),f51(x45071,x45073,x45072))),f51(x45071,f317(a102,x45073),x45072))
% 192.07/191.92 [4563]E(f213(a903,f909(x45631,f905(x45631)),f2(a903),f317(f247(x45631,f905(x45631),a903),f317(f317(f9(x45631,a903,f910(f905(x45631),a903)),f317(f317(f10(f910(f905(x45631),f910(a903,a903)),f910(a903,f910(f905(x45631),a903)),x45631),f9(f905(x45631),a903,a903)),f317(f317(f10(f910(f905(x45631),a903),f910(f905(x45631),f910(a903,a903)),x45631),f317(f10(a903,f910(a903,a903),f905(x45631)),f74(a903))),f317(f317(f9(x45631,f910(f905(x45631),a903),f910(f905(x45631),a903)),f317(f317(f10(f910(a903,a903),f910(f910(f905(x45631),a903),f910(f905(x45631),a903)),x45631),f10(a903,a903,f905(x45631))),f317(f317(f10(a903,f910(a903,a903),x45631),f74(a903)),x45632))),f115(x45631,x45632))))),f72(a903))),f317(f125(x45631),x45633)),f317(f115(x45631,x45632),x45633))
% 192.07/191.92 [4571]E(f317(f317(f80(a1,x45711),f208(f317(f317(f67(f909(a1,a1),a1,x45711,f246(a1,a1)),f202(x45711)),x45712),f317(f317(f67(f909(a1,a1),a1,x45711,f246(a1,a1)),f202(x45711)),x45713))),f317(f317(f20(a1,a1,x45711),f317(f317(f10(a1,f910(a1,x45711),a1),f191(x45711)),f317(f317(f20(a1,a1,a1),f317(f317(f10(a1,f910(a1,a1),a1),f74(a1)),f317(f317(f10(a1,a1,a1),f317(f75(a1),f317(f317(f67(f909(a1,a1),a1,x45711,f241(a1,a1)),f202(x45711)),x45712))),f317(f317(f9(a1,a1,a1),f31(a1)),f317(f317(f67(f909(a1,a1),a1,x45711,f246(a1,a1)),f202(x45711)),x45712))))),f317(f317(f10(a1,a1,a1),f317(f75(a1),f317(f317(f67(f909(a1,a1),a1,x45711,f241(a1,a1)),f202(x45711)),x45713))),f317(f317(f9(a1,a1,a1),f31(a1)),f317(f317(f67(f909(a1,a1),a1,x45711,f246(a1,a1)),f202(x45711)),x45713)))))),f7(a1))),f220(x45711,x45712,x45713))
% 192.07/191.92 [4594]~E(f317(f317(f141(x45941),x45942),x45943),x45943)
% 192.07/191.92 [4597]~E(f317(f317(f141(x45971),x45972),x45973),f103(x45971))
% 192.07/191.92 [4603]~E(f317(f317(f299(x46031),x46032),x46033),f178(f910(x46031,a898)))
% 192.07/191.92 [4623]~E(f317(f300(x46231,f910(x46231,a898),x46232),x46233),f317(f298(x46231),x46233))
% 192.07/191.92 [3485]E(f317(f317(f149(x34851,f103(x34851)),x34852),x34853),f103(x34851))
% 192.07/191.92 [3486]E(f317(f131(x34861),f317(f317(f141(x34861),x34862),x34863)),x34862)
% 192.07/191.92 [3487]E(f317(f161(x34871),f317(f317(f141(x34871),x34872),x34873)),x34873)
% 192.07/191.92 [3528]E(f317(f317(f128(x35281),f72(a903)),f317(f317(f141(x35281),x35282),x35283)),x35283)
% 192.07/191.92 [3561]E(f104(x35611,f317(f317(f128(x35611),x35612),x35613)),f317(f317(f128(x35611),x35612),f104(x35611,x35613)))
% 192.07/191.92 [3563]E(f317(f317(f149(x35631,x35632),x35633),f317(f317(f154(x35631),x35632),x35633)),x35632)
% 192.07/191.92 [3583]E(f317(f317(f299(x35831),x35832),f317(f317(f299(x35831),x35832),x35833)),f317(f317(f299(x35831),x35832),x35833))
% 192.07/191.92 [3596]E(f317(f317(f299(x35961),x35962),f317(f162(x35961),x35963)),f317(f162(x35961),f317(f317(f141(x35961),x35962),x35963)))
% 192.07/191.92 [3598]E(f317(f317(f128(x35981),x35982),f317(f161(x35981),x35983)),f317(f161(x35981),f317(f317(f128(x35981),x35982),x35983)))
% 192.07/191.92 [3610]E(f317(f317(f165(x36101),f72(a903)),f317(f317(f141(x36101),x36102),x36103)),f317(f317(f141(x36101),x36102),f103(x36101)))
% 192.07/191.92 [3653]E(f317(f58(x36531,x36532),f317(f317(f299(x36531),x36533),f178(f910(x36531,a898)))),x36533)
% 192.07/191.92 [3694]E(f317(f317(f74(a903),x36941),f317(f317(f74(a903),x36942),x36943)),f317(f317(f74(a903),x36942),f317(f317(f74(a903),x36941),x36943)))
% 192.07/191.92 [3695]E(f317(f317(f74(a1),x36951),f317(f317(f74(a1),x36952),x36953)),f317(f317(f74(a1),x36952),f317(f317(f74(a1),x36951),x36953)))
% 192.07/191.92 [3700]E(f317(f317(f244(x37001,x37002),f178(f910(x37001,a898))),x37003),f178(f910(f909(x37001,x37002),a898)))
% 192.07/191.92 [3724]E(f317(f317(f100(f910(x37241,a898)),x37242),x37243),f317(f317(f100(f910(x37241,a898)),x37243),x37242))
% 192.07/191.92 [3725]E(f317(f317(f91(f910(x37251,a898)),x37252),x37253),f317(f317(f91(f910(x37251,a898)),x37253),x37252))
% 192.07/191.92 [3727]E(f317(f317(f124(x37271),x37272),f317(f317(f141(x37271),x37273),f103(x37271))),f317(f157(x37271),f317(f317(f141(x37271),x37273),x37272)))
% 192.07/191.92 [3728]E(f317(f317(f124(x37281),f317(f158(x37281),x37282)),f317(f158(x37281),x37283)),f317(f158(x37281),f317(f317(f124(x37281),x37283),x37282)))
% 192.07/191.92 [3738]E(f317(f161(x37381),f317(f317(f165(x37381),f317(a102,x37382)),x37383)),f317(f317(f165(x37381),x37382),f317(f161(x37381),x37383)))
% 192.07/191.92 [3746]P2(f317(f317(f319(x37461),x37462),f317(f317(f299(x37461),x37462),x37463)))
% 192.07/191.92 [3750]E(f317(f317(f35(x37501,f910(x37502,a898)),f178(f910(x37501,a898))),x37503),f232(f910(x37502,a898)))
% 192.07/191.92 [3753]E(f317(f275(x37531,x37531,f253(x37531,x37532)),x37533),f317(f317(f91(f910(x37531,a898)),x37532),x37533))
% 192.07/191.92 [3767]E(f317(f179(f904(x37671)),f317(f317(f141(x37671),x37672),x37673)),f317(f317(f74(a903),f317(f179(f904(x37671)),x37673)),f317(a102,f2(a903))))
% 192.07/191.92 [3772]E(f134(x37721,f317(f317(f124(x37721),x37722),f317(f317(f141(x37721),x37723),f103(x37721)))),x37723)
% 192.07/191.92 [3773]E(f104(x37731,f317(f317(f124(x37731),x37732),f317(f317(f141(x37731),x37733),f103(x37731)))),x37732)
% 192.07/191.92 [3781]E(f317(f317(f124(x37811),f317(f317(f165(x37811),x37812),x37813)),f317(f317(f128(x37811),x37812),x37813)),x37813)
% 192.07/191.92 [3790]E(f317(f317(f3(a903),f317(f317(f74(a903),x37901),x37902)),f317(f317(f74(a903),x37903),x37902)),f317(f317(f3(a903),x37901),x37903))
% 192.07/191.92 [3791]E(f317(f317(f3(a903),f317(f317(f74(a903),x37911),x37912)),f317(f317(f74(a903),x37911),x37913)),f317(f317(f3(a903),x37912),x37913))
% 192.07/191.92 [3797]E(f317(f317(f124(x37971),f317(f158(x37971),x37972)),f317(f317(f141(x37971),x37973),f103(x37971))),f317(f158(x37971),f317(f317(f141(x37971),x37973),x37972)))
% 192.07/191.92 [3799]E(f317(f317(f74(a903),f317(f179(f904(x37991)),x37992)),f317(f179(f904(x37991)),x37993)),f317(f179(f904(x37991)),f317(f317(f124(x37991),x37992),x37993)))
% 192.07/191.92 [3802]E(f317(f317(f74(a903),f317(f179(f904(x38021)),x38022)),f317(f179(f904(x38021)),x38023)),f317(f179(f904(x38021)),f163(x38021,x38022,x38023)))
% 192.07/191.92 [3809]E(f317(f317(f100(f910(x38091,a898)),f317(f162(x38091),x38092)),f317(f162(x38091),x38093)),f317(f162(x38091),f317(f317(f124(x38091),x38092),x38093)))
% 192.07/191.92 [3810]E(f41(a903,f317(f317(f75(a903),x38101),x38102),f317(f317(f75(a903),x38101),x38103)),f317(f317(f75(a903),x38101),f41(a903,x38102,x38103)))
% 192.07/191.92 [3822]E(f317(f317(f165(x38221),f317(f317(f3(a903),x38222),f72(a903))),f317(f161(x38221),x38223)),f317(f161(x38221),f317(f317(f165(x38221),x38222),x38223)))
% 192.07/191.92 [3827]E(f317(f317(f91(f910(x38271,a898)),x38272),f317(f73(f910(x38271,a898)),x38273)),f317(f317(f3(f910(x38271,a898)),x38272),x38273))
% 192.07/191.92 [3828]E(f317(f317(f3(f910(x38281,a898)),x38282),f317(f73(f910(x38281,a898)),x38283)),f317(f317(f91(f910(x38281,a898)),x38282),x38283))
% 192.07/191.92 [3850]E(f317(f317(f244(x38501,x38502),x38503),f317(f18(f910(x38502,a898),x38501),f178(f910(x38502,a898)))),f178(f910(f909(x38501,x38502),a898)))
% 192.07/191.92 [3852]E(f317(f317(f3(a903),f317(f317(f75(a903),x38521),x38522)),f317(f317(f75(a903),x38521),x38523)),f317(f317(f75(a903),x38521),f317(f317(f3(a903),x38522),x38523)))
% 192.07/191.92 [3853]E(f317(f317(f74(a903),f317(f317(f75(a903),x38531),x38532)),f317(f317(f75(a903),x38531),x38533)),f317(f317(f75(a903),x38531),f317(f317(f74(a903),x38532),x38533)))
% 192.07/191.92 [3854]E(f317(f317(f3(a1),f317(f317(f75(a1),x38541),x38542)),f317(f317(f75(a1),x38541),x38543)),f317(f317(f75(a1),x38541),f317(f317(f3(a1),x38542),x38543)))
% 192.07/191.92 [3855]E(f317(f317(f74(a1),f317(f317(f75(a1),x38551),x38552)),f317(f317(f75(a1),x38551),x38553)),f317(f317(f75(a1),x38551),f317(f317(f74(a1),x38552),x38553)))
% 192.07/191.92 [3856]E(f317(f317(f75(a1),f317(f317(f234(a1),x38561),x38562)),f317(f317(f234(a1),x38561),x38563)),f317(f317(f234(a1),x38561),f317(f317(f74(a903),x38562),x38563)))
% 192.07/191.92 [3870]E(f317(f317(f36(x38701,f910(x38702,a898)),x38703),f317(f18(f910(x38702,a898),x38701),f178(f910(x38702,a898)))),f178(f910(x38702,a898)))
% 192.07/191.92 [3872]E(f41(a903,f317(f317(f75(a903),x38721),x38722),f317(f317(f75(a903),x38723),x38722)),f317(f317(f75(a903),f41(a903,x38721,x38723)),x38722))
% 192.07/191.92 [3877]E(f41(a1,f317(f317(f3(a1),x38771),f41(a1,x38772,x38773)),x38773),f41(a1,f317(f317(f3(a1),x38771),x38772),x38773))
% 192.07/191.92 [3878]E(f41(a1,f317(f317(f75(a1),x38781),f41(a1,x38782,x38783)),x38783),f41(a1,f317(f317(f75(a1),x38781),x38782),x38783))
% 192.07/191.92 [3879]P2(f317(f317(f226(f910(x38791,a898)),x38792),f317(f317(f299(x38791),x38793),x38792)))
% 192.07/191.92 [3954]E(f317(f317(f35(f910(x39541,a898),f910(x39541,a898)),x39542),f317(f100(f910(x39541,a898)),x39543)),f317(f317(f100(f910(x39541,a898)),x39543),f33(f910(x39541,a898),x39542)))
% 192.07/191.92 [3955]E(f317(f317(f36(f910(x39551,a898),f910(x39551,a898)),x39552),f317(f91(f910(x39551,a898)),x39553)),f317(f317(f91(f910(x39551,a898)),x39553),f32(f910(x39551,a898),x39552)))
% 192.07/191.92 [3967]E(f317(f162(x39671),f317(f317(f317(f173(f904(x39671),f904(x39671)),x39672),f157(x39671)),x39673)),f317(f162(x39671),x39673))
% 192.07/191.92 [3971]E(f317(f317(f165(x39711),f317(f179(f904(x39711)),f167(x39711,x39712,x39713))),x39713),f167(x39711,x39712,x39713))
% 192.07/191.92 [3975]E(f317(f179(f904(x39751)),f317(f317(f317(f173(f904(x39751),f904(x39751)),x39752),f157(x39751)),x39753)),f317(f179(f904(x39751)),x39753))
% 192.07/191.92 [3978]E(f317(f317(f247(x39781,x39782,x39782),f317(f18(f910(x39782,x39782),x39781),f7(x39782))),x39783),f317(f246(x39781,x39782),x39783))
% 192.07/191.92 [3984]E(f41(a1,f317(f317(f3(a1),f41(a1,x39841,x39842)),x39843),x39842),f41(a1,f317(f317(f3(a1),x39841),x39843),x39842))
% 192.07/191.92 [3985]E(f41(a1,f317(f317(f234(a1),f41(a1,x39851,x39852)),x39853),x39852),f41(a1,f317(f317(f234(a1),x39851),x39853),x39852))
% 192.07/191.92 [3988]E(f317(f317(f36(f910(f909(x39881,x39882),a898),f910(x39882,a898)),x39883),f274(x39881,x39882)),f317(f274(x39881,x39882),f32(f910(f909(x39881,x39882),a898),x39883)))
% 192.07/191.92 [3989]E(f317(f317(f36(f910(f909(x39891,x39892),a898),f910(x39891,a898)),x39893),f254(x39891,x39892)),f317(f254(x39891,x39892),f32(f910(f909(x39891,x39892),a898),x39893)))
% 192.07/191.92 [4012]E(f317(f67(x40121,x40121,x40121,x40122),f317(f317(f173(x40121,x40121),x40123),x40122)),f317(f317(f173(x40121,x40121),f317(a102,x40123)),x40122))
% 192.07/191.92 [4030]E(f317(f317(f128(x40301),f317(f317(f3(a903),f317(f179(f904(x40301)),x40302)),x40303)),f317(f158(x40301),x40302)),f317(f158(x40301),f317(f317(f165(x40301),x40303),x40302)))
% 192.07/191.92 [4031]E(f317(f317(f165(x40311),f317(f317(f3(a903),f317(f179(f904(x40311)),x40312)),x40313)),f317(f158(x40311),x40312)),f317(f158(x40311),f317(f317(f128(x40311),x40313),x40312)))
% 192.07/191.92 [4033]E(f317(f317(f74(a903),f317(f155(a903),f317(f317(f144(x40331,a903),x40332),x40333))),f317(f179(f904(x40331)),x40333)),f145(x40331,x40332,x40333))
% 192.07/191.92 [4053]E(f317(f157(x40531),f317(f317(f317(f173(f904(x40531),f904(x40531)),x40532),f157(x40531)),x40533)),f317(f317(f317(f173(f904(x40531),f904(x40531)),f317(a102,x40532)),f157(x40531)),x40533))
% 192.07/191.92 [4067]P2(f317(f317(f226(a903),f317(f179(f904(x40671)),f317(f126(x40671,x40672),x40673))),f317(f179(f904(x40671)),x40673)))
% 192.07/191.92 [4083]E(f317(f317(f100(f910(f910(x40831,a898),a898)),f317(f298(x40831),x40832)),f317(f300(f910(x40831,a898),f910(x40831,a898),f317(f299(x40831),x40833)),f317(f298(x40831),x40832))),f317(f298(x40831),f317(f317(f299(x40831),x40833),x40832)))
% 192.07/191.92 [4114]P2(f317(f317(f226(a903),f317(f179(f904(x41141)),f167(x41141,x41142,x41143))),f317(f179(f904(x41141)),x41143)))
% 192.07/191.92 [4121]E(f317(f254(x41211,x41212),f317(f252(f909(x41211,x41212)),f317(f247(x41211,x41212,a898),x41213))),f317(f252(x41211),f317(f317(f10(f910(x41212,a898),a898,x41211),f81(x41212)),x41213)))
% 192.07/191.92 [4133]E(f317(f300(a903,a903,f317(f317(f9(a903,a903,a903),f74(a903)),x41331)),f293(a903,x41332,x41333)),f293(a903,f317(f317(f74(a903),x41332),x41331),f317(f317(f74(a903),x41333),x41331)))
% 192.07/191.92 [4147]E(f317(f300(a903,a903,f317(f317(f9(a903,a903,a903),f74(a903)),x41471)),f317(f292(a903,x41472),x41473)),f317(f292(a903,f317(f317(f74(a903),x41472),x41471)),f317(f317(f74(a903),x41473),x41471)))
% 192.07/191.92 [4165]E(f317(f317(f171(x41651,x41652),f317(f317(f144(f909(x41651,x41652),x41651),f241(x41651,x41652)),x41653)),f317(f317(f144(f909(x41651,x41652),x41652),f246(x41651,x41652)),x41653)),x41653)
% 192.07/191.92 [4170]E(f317(f317(f74(a903),f317(f317(f75(a903),x41701),f41(a903,f317(f317(f31(a903),x41702),x41701),x41703))),f41(a903,x41702,x41701)),f41(a903,x41702,f317(f317(f75(a903),x41701),x41703)))
% 192.07/191.92 [4183]E(f317(f317(f124(x41831),x41832),f317(f132(f904(x41831),f904(x41831),f124(x41831),f103(x41831)),x41833)),f317(f132(f904(x41831),f904(x41831),f124(x41831),x41832),x41833))
% 192.07/191.92 [4204]P2(f317(f317(f319(f909(x42041,x42041)),f317(f317(f242(x42041,x42041),x42042),x42042)),f317(f317(f173(f909(x42041,x42041),a898),f2(a903)),x42043)))
% 192.07/191.92 [4209]E(f317(f252(x42091),f317(f317(f10(f910(x42092,a898),a898,x42091),f81(x42092)),f317(f9(x42092,x42091,a898),x42093))),f317(f274(x42092,x42091),f317(f252(f909(x42092,x42091)),f317(f247(x42092,x42091,a898),x42093))))
% 192.07/191.92 [4226]E(f317(f317(f100(f910(x42261,a898)),f317(f317(f36(a903,f910(x42261,a898)),f293(a903,f72(a903),x42262)),x42263)),f317(x42263,f2(a903))),f317(f317(f36(a903,f910(x42261,a898)),f317(f291(a903),x42262)),x42263))
% 192.07/191.92 [4241]E(f317(f132(f904(x42411),f904(x42411),f124(x42411),f103(x42411)),f317(f317(f144(f904(x42411),f904(x42411)),f126(x42411,x42412)),x42413)),f317(f126(x42411,x42412),f317(f132(f904(x42411),f904(x42411),f124(x42411),f103(x42411)),x42413)))
% 192.07/191.92 [4245]E(f317(f246(f904(x42451),f904(x42451)),f156(x42451,x42452,x42453)),f317(f126(x42451,f317(f67(a898,a898,x42451,a312),x42452)),x42453))
% 192.07/191.92 [4290]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42901),f317(f317(f31(a1),x42902),x42901))),f41(a1,x42902,x42901))),x42903),f317(f317(f74(a1),x42902),x42903))
% 192.07/191.92 [4327]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f317(f31(a1),x43271),x43272)),x43272)),f41(a1,x43271,x43272))),x43273),f317(f317(f74(a1),x43271),x43273))
% 192.07/191.92 [4353]E(f79(f909(x43531,x43532),f317(f247(x43531,x43532,a898),f317(f317(f10(f910(x43532,f909(x43531,x43532)),f910(x43532,a898),x43531),f317(f10(f909(x43531,x43532),a898,x43532),x43533)),f242(x43531,x43532)))),f79(f909(x43531,x43532),x43533))
% 192.07/191.92 [4354]E(f84(f909(x43541,x43542),f317(f247(x43541,x43542,a898),f317(f317(f10(f910(x43542,f909(x43541,x43542)),f910(x43542,a898),x43541),f317(f10(f909(x43541,x43542),a898,x43542),x43543)),f242(x43541,x43542)))),f84(f909(x43541,x43542),x43543))
% 192.07/191.92 [4381]P2(f317(f317(f226(f910(x43811,a898)),f32(f910(x43811,a898),f317(f317(f91(f910(f910(x43811,a898),a898)),x43812),x43813))),f317(f317(f91(f910(x43811,a898)),f32(f910(x43811,a898),x43812)),f32(f910(x43811,a898),x43813))))
% 192.07/191.92 [4382]E(f317(f158(x43821),f317(f317(f317(f173(f904(x43821),f904(x43821)),f317(f317(f3(a903),f317(f179(f904(x43821)),x43822)),f41(a903,x43823,f317(f179(f904(x43821)),x43822)))),f157(x43821)),x43822)),f317(f317(f317(f173(f904(x43821),f904(x43821)),x43823),f157(x43821)),f317(f158(x43821),x43822)))
% 192.07/191.92 [4419]P2(f317(f317(f226(a903),f317(f179(f904(x44191)),f317(f317(f128(x44191),f317(f179(f904(x44191)),f167(x44191,x44192,x44193))),x44193))),f317(f179(f904(x44191)),x44193)))
% 192.07/191.92 [4636]~P2(f317(f57(x46361,x46362,f178(f910(x46361,a898))),x46363))
% 192.07/191.92 [4641]~P2(f317(f317(f319(f909(x46411,x46411)),f317(f317(f242(x46411,x46411),x46412),x46413)),f143(x46411,f103(f910(x46411,a903)))))
% 192.07/191.92 [3739]E(f317(f179(f904(x37391)),f317(f317(f165(x37391),x37392),x37393)),f317(f317(f224(a903),f317(f179(f904(x37391)),x37393)),x37392))
% 192.07/191.92 [3740]E(f317(f179(f904(x37401)),f317(f317(f128(x37401),x37402),x37403)),f317(f317(f3(a903),f317(f179(f904(x37401)),x37403)),x37402))
% 192.07/191.92 [3766]E(f317(f179(f904(f904(x37661))),f51(x37661,x37662,x37663)),f317(f317(f234(a903),f317(f179(f904(x37661)),x37663)),x37662))
% 192.07/191.92 [3783]E(f317(f317(f31(a903),f317(f317(f31(a903),x37831),x37832)),x37833),f317(f317(f31(a903),x37831),f317(f317(f75(a903),x37832),x37833)))
% 192.07/191.92 [3784]E(f317(f317(f3(a903),f317(f317(f3(a903),x37841),x37842)),x37843),f317(f317(f3(a903),x37841),f317(f317(f74(a903),x37842),x37843)))
% 192.07/191.92 [3785]E(f317(f317(f75(a903),f317(f317(f75(a903),x37851),x37852)),x37853),f317(f317(f75(a903),x37851),f317(f317(f75(a903),x37852),x37853)))
% 192.07/191.92 [3786]E(f317(f317(f75(a1),f317(f317(f75(a1),x37861),x37862)),x37863),f317(f317(f75(a1),x37861),f317(f317(f75(a1),x37862),x37863)))
% 192.07/191.92 [3787]E(f317(f317(f74(a903),f317(f317(f74(a903),x37871),x37872)),x37873),f317(f317(f74(a903),x37871),f317(f317(f74(a903),x37872),x37873)))
% 192.07/191.92 [3788]E(f317(f317(f74(a1),f317(f317(f74(a1),x37881),x37882)),x37883),f317(f317(f74(a1),x37881),f317(f317(f74(a1),x37882),x37883)))
% 192.07/191.92 [3789]E(f317(f317(f234(a1),f317(f317(f234(a1),x37891),x37892)),x37893),f317(f317(f234(a1),x37891),f317(f317(f75(a903),x37892),x37893)))
% 192.07/191.92 [3808]E(f152(x38081,f317(f317(f141(f910(x38081,a898)),x38082),x38083)),f164(x38081,x38082,f152(x38081,x38083)))
% 192.07/191.92 [3851]E(f317(f317(f3(a903),f317(f317(f3(a903),x38511),x38512)),x38513),f317(f317(f3(a903),f317(f317(f3(a903),x38511),x38513)),x38512))
% 192.07/191.92 [3859]E(f317(f317(f91(f910(x38591,a898)),x38592),f317(f317(f3(f910(x38591,a898)),x38593),x38592)),f178(f910(x38591,a898)))
% 192.07/191.92 [3863]E(f317(f317(f144(a903,x38631),f317(f18(x38631,a903),x38632)),f129(a903,f317(f292(a903,f2(a903)),x38633))),f159(x38631,x38633,x38632))
% 192.07/191.92 [3901]E(f32(f910(x39011,a898),f317(f317(f299(f910(x39011,a898)),x39012),x39013)),f317(f317(f100(f910(x39011,a898)),x39012),f32(f910(x39011,a898),x39013)))
% 192.07/191.92 [3902]E(f33(f910(x39021,a898),f317(f317(f299(f910(x39021,a898)),x39022),x39023)),f317(f317(f91(f910(x39021,a898)),x39022),f33(f910(x39021,a898),x39023)))
% 192.07/191.92 [3904]E(f159(x39041,f317(f179(f904(x39041)),f317(f126(x39041,f317(a314,x39042)),x39043)),x39042),f317(f126(x39041,f317(a314,x39042)),x39043))
% 192.07/191.92 [3906]E(f317(f317(f3(a903),f317(f317(f75(a903),x39061),x39062)),f317(f317(f75(a903),x39063),x39062)),f317(f317(f75(a903),f317(f317(f3(a903),x39061),x39063)),x39062))
% 192.07/191.92 [3907]E(f317(f317(f74(a903),f317(f317(f75(a903),x39071),x39072)),f317(f317(f75(a903),x39073),x39072)),f317(f317(f75(a903),f317(f317(f74(a903),x39071),x39073)),x39072))
% 192.07/191.92 [3908]E(f317(f317(f3(a1),f317(f317(f75(a1),x39081),x39082)),f317(f317(f75(a1),x39083),x39082)),f317(f317(f75(a1),f317(f317(f3(a1),x39081),x39083)),x39082))
% 192.07/191.92 [3909]E(f317(f317(f74(a1),f317(f317(f75(a1),x39091),x39092)),f317(f317(f75(a1),x39093),x39092)),f317(f317(f75(a1),f317(f317(f74(a1),x39091),x39093)),x39092))
% 192.07/191.92 [3911]E(f317(f317(f224(a903),f317(f317(f3(a903),x39111),x39112)),f317(f317(f3(a903),x39113),x39112)),f317(f317(f3(a903),f317(f317(f224(a903),x39111),x39113)),x39112))
% 192.07/191.92 [3931]E(f317(f317(f91(f910(f904(x39311),a898)),f150(x39311,x39312)),f150(x39311,x39313)),f150(x39311,f317(f317(f91(f910(x39311,a898)),x39312),x39313)))
% 192.07/191.92 [3934]E(f317(f317(f100(f910(x39341,a898)),x39342),f317(f317(f3(f910(x39341,a898)),x39343),x39342)),f317(f317(f100(f910(x39341,a898)),x39342),x39343))
% 192.07/191.92 [3935]E(f317(f317(f100(f910(x39351,a898)),x39352),f317(f317(f100(f910(x39351,a898)),x39352),x39353)),f317(f317(f100(f910(x39351,a898)),x39352),x39353))
% 192.07/191.92 [3936]E(f317(f317(f91(f910(x39361,a898)),x39362),f317(f317(f91(f910(x39361,a898)),x39362),x39363)),f317(f317(f91(f910(x39361,a898)),x39362),x39363))
% 192.07/191.92 [3948]E(f317(f317(f279(x39481,x39482,x39482),x39483),f297(x39482,f178(f910(f909(x39482,x39482),a898)))),x39483)
% 192.07/191.92 [3951]E(f317(f317(f100(f910(x39511,a898)),f317(f317(f299(x39511),x39512),f178(f910(x39511,a898)))),x39513),f317(f317(f299(x39511),x39512),x39513))
% 192.07/191.92 [3970]E(f317(f317(f3(a903),f317(f317(f3(a903),f317(a102,x39701)),x39702)),f317(a102,x39703)),f317(f317(f3(a903),f317(f317(f3(a903),x39701),x39702)),x39703))
% 192.07/191.92 [3997]E(f317(f317(f91(f910(f910(x39971,a898),a898)),f317(f298(x39971),x39972)),f317(f298(x39971),x39973)),f317(f298(x39971),f317(f317(f91(f910(x39971,a898)),x39972),x39973)))
% 192.07/191.92 [4000]E(f317(f317(f100(f910(x40001,a898)),f317(f73(f910(x40001,a898)),x40002)),x40003),f317(f73(f910(x40001,a898)),f317(f317(f3(f910(x40001,a898)),x40002),x40003)))
% 192.07/191.92 [4009]E(f317(f317(f299(x40091),x40092),f317(f317(f3(f910(x40091,a898)),x40093),f317(f317(f299(x40091),x40092),f178(f910(x40091,a898))))),f317(f317(f299(x40091),x40092),x40093))
% 192.07/191.92 [4019]P2(f317(f317(f226(f910(x40191,a898)),x40192),f317(f317(f100(f910(x40191,a898)),x40193),x40192)))
% 192.07/191.92 [4020]P2(f317(f317(f226(f910(x40201,a898)),x40202),f317(f317(f100(f910(x40201,a898)),x40202),x40203)))
% 192.07/191.92 [4024]E(f317(f317(f91(f910(x40241,a898)),f317(f73(f910(x40241,a898)),x40242)),f317(f73(f910(x40241,a898)),x40243)),f317(f73(f910(x40241,a898)),f317(f317(f100(f910(x40241,a898)),x40242),x40243)))
% 192.07/191.92 [4025]E(f317(f317(f100(f910(x40251,a898)),f317(f73(f910(x40251,a898)),x40252)),f317(f73(f910(x40251,a898)),x40253)),f317(f73(f910(x40251,a898)),f317(f317(f91(f910(x40251,a898)),x40252),x40253)))
% 192.07/191.92 [4039]P2(f317(f317(f226(f910(x40391,a898)),f317(f162(x40391),x40392)),f317(f162(x40391),f317(f317(f141(x40391),x40393),x40392))))
% 192.07/191.92 [4051]E(f317(f317(f100(f910(x40511,a898)),f317(f317(f3(f910(x40511,a898)),x40512),x40513)),f317(f317(f91(f910(x40511,a898)),x40512),x40513)),x40512)
% 192.07/191.92 [4101]E(f317(f317(f11(x41011,a1),f317(f317(f10(a903,a1,x41011),f90(a1)),x41012)),x41013),f317(f90(a1),f317(f317(f11(x41011,a903),x41012),x41013)))
% 192.07/191.92 [4102]E(f317(f317(f8(x41021,a1),f317(f317(f10(a903,a1,x41021),f90(a1)),x41022)),x41023),f317(f90(a1),f317(f317(f8(x41021,a903),x41022),x41023)))
% 192.07/191.92 [4149]E(f317(f317(f124(x41491),f167(x41491,x41492,x41493)),f317(f317(f128(x41491),f317(f179(f904(x41491)),f167(x41491,x41492,x41493))),x41493)),x41493)
% 192.07/191.92 [4153]E(f317(f73(f910(f909(x41531,x41532),a898)),f317(f317(f244(x41531,x41532),x41533),f317(f18(f910(x41532,a898),x41531),f232(f910(x41532,a898))))),f317(f317(f244(x41531,x41532),f317(f73(f910(x41531,a898)),x41533)),f317(f18(f910(x41532,a898),x41531),f232(f910(x41532,a898)))))
% 192.07/191.92 [4154]E(f317(f73(f910(f909(x41541,x41542),a898)),f317(f317(f244(x41541,x41542),f232(f910(x41541,a898))),f317(f18(f910(x41542,a898),x41541),x41543))),f317(f317(f244(x41541,x41542),f232(f910(x41541,a898))),f317(f18(f910(x41542,a898),x41541),f317(f73(f910(x41542,a898)),x41543))))
% 192.07/191.92 [4205]E(f317(f317(f36(f910(x42051,a898),f910(x42051,a898)),x42052),f317(f317(f9(f910(x42051,a898),f910(x42051,a898),f910(x42051,a898)),f91(f910(x42051,a898))),x42053)),f317(f317(f91(f910(x42051,a898)),f32(f910(x42051,a898),x42052)),x42053))
% 192.07/191.92 [4211]E(f317(f132(f904(x42111),f904(x42111),f124(x42111),f103(x42111)),f317(f317(f141(f904(x42111)),x42112),x42113)),f317(f317(f124(x42111),x42112),f317(f132(f904(x42111),f904(x42111),f124(x42111),f103(x42111)),x42113)))
% 192.07/191.92 [4232]E(f317(f317(f299(f910(x42321,a898)),f317(f275(x42321,x42321,x42322),f317(f317(f299(x42321),x42323),f178(f910(x42321,a898))))),f178(f910(f910(x42321,a898),a898))),f317(f317(f56(x42321),f317(f317(f299(x42321),x42323),f178(f910(x42321,a898)))),x42322))
% 192.07/191.92 [4242]E(f317(f317(f74(a903),f317(f317(f75(a903),x42421),f317(f317(f31(a903),x42422),x42423))),f317(f317(f31(a903),f317(f317(f75(a903),x42421),f41(a903,x42422,x42423))),x42423)),f317(f317(f31(a903),f317(f317(f75(a903),x42421),x42422)),x42423))
% 192.07/191.92 [4243]E(f317(f317(f74(a1),f317(f317(f75(a1),x42431),f317(f317(f31(a1),x42432),x42433))),f317(f317(f31(a1),f317(f317(f75(a1),x42431),f41(a1,x42432,x42433))),x42433)),f317(f317(f31(a1),f317(f317(f75(a1),x42431),x42432)),x42433))
% 192.07/191.92 [4275]E(f317(f317(f3(f910(x42751,a898)),f317(f162(x42751),x42752)),f317(f317(f299(x42751),x42753),f178(f910(x42751,a898)))),f317(f162(x42751),f317(f126(x42751,f317(f317(f10(a898,a898,x42751),a312),f317(a314,x42753))),x42752)))
% 192.07/191.92 [4325]E(f317(f317(f124(x43251),f317(f132(f904(x43251),f904(x43251),f124(x43251),f103(x43251)),x43252)),f317(f132(f904(x43251),f904(x43251),f124(x43251),f103(x43251)),x43253)),f317(f132(f904(x43251),f904(x43251),f124(x43251),f103(x43251)),f317(f317(f124(f904(x43251)),x43252),x43253)))
% 192.07/191.92 [4328]E(f317(f317(f242(f904(x43281),f904(x43281)),f317(f126(x43281,x43282),x43283)),f317(f126(x43281,f317(f67(a898,a898,x43281,a312),x43282)),x43283)),f156(x43281,x43282,x43283))
% 192.07/191.92 [4331]E(f317(f317(f74(a903),f317(f317(f74(a903),f317(f317(f31(a903),x43311),x43312)),f317(f317(f31(a903),x43313),x43312))),f317(f317(f31(a903),f317(f317(f74(a903),f41(a903,x43311,x43312)),f41(a903,x43313,x43312))),x43312)),f317(f317(f31(a903),f317(f317(f74(a903),x43311),x43313)),x43312))
% 192.07/191.92 [4332]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f31(a1),x43321),x43322)),f317(f317(f31(a1),x43323),x43322))),f317(f317(f31(a1),f317(f317(f74(a1),f41(a1,x43321,x43322)),f41(a1,x43323,x43322))),x43322)),f317(f317(f31(a1),f317(f317(f74(a1),x43321),x43323)),x43322))
% 192.07/191.92 [4385]E(f317(f317(f91(f910(f904(x43851),a898)),f317(f317(f9(f904(x43851),f910(f904(x43851),a898),a898),f319(f904(x43851))),f151(x43851,x43852))),f317(f317(f9(f904(x43851),f910(f904(x43851),a898),a898),f319(f904(x43851))),f151(x43851,x43853))),f150(x43851,f317(f317(f91(f910(x43851,a898)),f317(f317(f9(x43851,f910(x43851,a898),a898),f319(x43851)),x43852)),f317(f317(f9(x43851,f910(x43851,a898),a898),f319(x43851)),x43853))))
% 192.07/191.92 [4397]E(f317(f252(x43971),f317(f317(f20(x43971,a898,a898),f317(f317(f10(a898,f910(a898,a898),x43971),a316),f317(f317(f9(x43971,x43971,a898),a314),x43972))),f317(f317(f9(x43971,f910(x43971,a898),a898),f319(x43971)),x43973))),f317(f317(f299(x43971),x43972),x43973))
% 192.07/191.92 [4417]E(f317(f317(f80(f904(f904(x44171)),f904(f904(x44171))),f50(x44171,x44172)),f317(f317(f20(f904(f904(x44171)),f904(f904(x44171)),f904(f904(x44171))),f317(f317(f10(f904(f904(x44171)),f910(f904(f904(x44171)),f904(f904(x44171))),f904(f904(x44171))),f124(f904(x44171))),f317(f144(f904(x44171),f904(x44171)),f317(f141(x44171),x44173)))),f7(f904(f904(x44171))))),f50(x44171,f317(f317(f141(x44171),x44173),x44172)))
% 192.07/191.92 [4420]E(f317(f252(x44201),f317(f317(f20(x44201,a898,a898),f317(f317(f10(a898,f910(a898,a898),x44201),a316),f317(f317(f9(x44201,f910(x44201,a898),a898),f319(x44201)),x44202))),f317(f317(f9(x44201,f910(x44201,a898),a898),f319(x44201)),x44203))),f317(f317(f100(f910(x44201,a898)),x44202),x44203))
% 192.07/191.92 [4421]E(f317(f252(x44211),f317(f317(f20(x44211,a898,a898),f317(f317(f10(a898,f910(a898,a898),x44211),a315),f317(f317(f9(x44211,f910(x44211,a898),a898),f319(x44211)),x44212))),f317(f317(f9(x44211,f910(x44211,a898),a898),f319(x44211)),x44213))),f317(f317(f91(f910(x44211,a898)),x44212),x44213))
% 192.07/191.92 [4510]E(f317(f317(f36(x45101,f910(f910(x45101,a898),a898)),x45102),f317(f317(f9(x45101,f910(f910(x45101,a898),a898),f910(f910(x45101,a898),a898)),f317(f317(f10(f910(x45101,a898),f910(f910(f910(x45101,a898),a898),f910(f910(x45101,a898),a898)),x45101),f299(f910(x45101,a898))),f317(f317(f10(f910(x45101,a898),f910(x45101,a898),x45101),f275(x45101,x45101,x45103)),f317(f317(f9(x45101,f910(x45101,a898),f910(x45101,a898)),f299(x45101)),f178(f910(x45101,a898)))))),f178(f910(f910(x45101,a898),a898)))),f317(f317(f56(x45101),x45102),x45103))
% 192.07/191.92 [4512]E(f317(f317(f191(x45121),f317(f317(f75(a1),f317(f317(f67(f909(a1,a1),a1,x45121,f241(a1,a1)),f202(x45121)),x45122)),f317(f317(f67(f909(a1,a1),a1,x45121,f241(a1,a1)),f202(x45121)),x45123))),f317(f317(f75(a1),f317(f317(f67(f909(a1,a1),a1,x45121,f246(a1,a1)),f202(x45121)),x45122)),f317(f317(f67(f909(a1,a1),a1,x45121,f246(a1,a1)),f202(x45121)),x45123))),f218(x45121,x45122,x45123))
% 192.07/191.92 [4515]E(f317(f252(f904(x45151)),f317(f317(f20(f904(x45151),a898,a898),f317(f317(f10(a898,f910(a898,a898),f904(x45151)),a315),f317(f317(f9(f904(x45151),a903,a898),f317(f317(f10(a903,f910(a903,a898),f904(x45151)),a314),f179(f904(x45151)))),x45152))),f317(f317(f9(f904(x45151),f910(x45151,a898),a898),f317(f317(f10(f910(x45151,a898),f910(f910(x45151,a898),a898),f904(x45151)),f226(f910(x45151,a898))),f162(x45151))),f317(f162(x45151),x45153)))),f317(f162(f904(x45151)),f51(x45151,x45152,x45153)))
% 192.07/191.92 [3924]E(f41(a903,f317(f317(f74(a903),f317(f317(f75(a903),x39241),x39242)),x39243),x39242),f41(a903,x39243,x39242))
% 192.07/191.92 [3969]E(f129(a903,f317(f292(a903,f317(f317(f74(a903),x39691),x39692)),x39693)),f317(f317(f128(a903),x39692),f129(a903,f317(f292(a903,x39691),x39693))))
% 192.07/191.92 [4008]E(f317(f317(f74(a1),f317(f90(a1),x40081)),f317(f317(f74(a1),f317(f90(a1),x40082)),x40083)),f317(f317(f74(a1),f317(f90(a1),f317(f317(f74(a903),x40081),x40082))),x40083))
% 192.07/191.92 [4015]E(f317(f317(f3(f910(x40151,a898)),f317(f317(f3(f910(x40151,a898)),x40152),x40153)),x40153),f317(f317(f3(f910(x40151,a898)),x40152),x40153))
% 192.07/191.92 [4016]E(f317(f317(f100(f910(x40161,a898)),f317(f317(f3(f910(x40161,a898)),x40162),x40163)),x40163),f317(f317(f100(f910(x40161,a898)),x40162),x40163))
% 192.07/191.92 [4040]E(f317(f317(f279(x40401,x40401,x40402),f297(x40401,f178(f910(f909(x40401,x40401),a898)))),x40403),x40403)
% 192.07/191.92 [4048]E(f317(f317(f100(f910(x40481,a898)),f317(f271(x40481),x40482)),f317(f271(x40481),x40483)),f317(f271(x40481),f317(f317(f100(f910(f909(x40481,x40481),a898)),x40482),x40483)))
% 192.07/191.92 [4058]E(f256(x40581,f317(f317(f141(f909(a89,x40581)),f317(f317(f242(a89,x40581),f2(a89)),x40582)),x40583)),f256(x40581,x40583))
% 192.07/191.92 [4060]E(f317(f317(f100(f910(x40601,a898)),f32(f910(x40601,a898),x40602)),f32(f910(x40601,a898),x40603)),f32(f910(x40601,a898),f317(f317(f100(f910(f910(x40601,a898),a898)),x40602),x40603)))
% 192.07/191.92 [4061]E(f317(f317(f91(f910(x40611,a898)),f33(f910(x40611,a898),x40612)),f33(f910(x40611,a898),x40613)),f33(f910(x40611,a898),f317(f317(f100(f910(f910(x40611,a898),a898)),x40612),x40613)))
% 192.07/191.92 [4098]E(f317(f317(f279(x40981,x40981,x40981),f317(f317(f173(f909(x40981,x40981),a898),x40982),x40983)),x40983),f317(f317(f173(f909(x40981,x40981),a898),f317(a102,x40982)),x40983))
% 192.07/191.92 [4141]P2(f317(f317(f226(f910(x41411,a898)),f317(f317(f3(f910(x41411,a898)),x41412),x41413)),x41412))
% 192.07/191.92 [4142]P2(f317(f317(f226(f910(x41421,a898)),f317(f317(f91(f910(x41421,a898)),x41422),x41423)),x41423))
% 192.07/191.92 [4143]P2(f317(f317(f226(f910(x41431,a898)),f317(f317(f91(f910(x41431,a898)),x41432),x41433)),x41432))
% 192.07/191.92 [4167]E(f297(x41671,f317(f317(f100(f910(f909(x41671,x41671),a898)),f297(x41671,x41672)),f297(x41671,x41673))),f297(x41671,f317(f317(f100(f910(f909(x41671,x41671),a898)),x41672),x41673)))
% 192.07/191.92 [4171]E(f32(f910(x41711,a898),f317(f317(f299(f910(x41711,a898)),x41712),f317(f317(f299(f910(x41711,a898)),x41713),f178(f910(f910(x41711,a898),a898))))),f317(f317(f100(f910(x41711,a898)),x41712),x41713))
% 192.07/191.92 [4172]E(f33(f910(x41721,a898),f317(f317(f299(f910(x41721,a898)),x41722),f317(f317(f299(f910(x41721,a898)),x41723),f178(f910(f910(x41721,a898),a898))))),f317(f317(f91(f910(x41721,a898)),x41722),x41723))
% 192.07/191.92 [4177]E(f317(f317(f279(x41771,x41771,x41771),f317(f317(f173(f909(x41771,x41771),a898),x41772),x41773)),x41773),f317(f317(f279(x41771,x41771,x41771),x41773),f317(f317(f173(f909(x41771,x41771),a898),x41772),x41773)))
% 192.07/191.92 [4246]E(f317(f317(f100(f910(x42461,a898)),f317(f252(x42461),f317(f317(f9(x42461,x42461,a898),a314),x42462))),x42463),f317(f317(f299(x42461),x42462),x42463))
% 192.07/191.92 [4248]E(f317(a94,f317(f317(f11(x42481,a1),f317(f317(f10(a903,a1,x42481),f90(a1)),x42482)),x42483)),f317(f317(f11(x42481,a903),x42482),x42483))
% 192.07/191.92 [4249]E(f317(a94,f317(f317(f8(x42491,a1),f317(f317(f10(a903,a1,x42491),f90(a1)),x42492)),x42493)),f317(f317(f8(x42491,a903),x42492),x42493))
% 192.07/191.92 [4322]E(f317(f146(f904(x43221),x43221,f317(f161(x43221),x43222),f317(f18(f910(f904(x43221),f904(x43221)),x43221),f317(f317(f9(f904(x43221),f904(x43221),f904(x43221)),f124(x43221)),x43222))),x43223),f317(f161(x43221),f317(f317(f124(x43221),x43223),x43222)))
% 192.07/191.92 [4350]P2(f317(f317(f226(f910(f910(x43501,a898),a898)),f317(f317(f100(f910(f910(x43501,a898),a898)),f317(f298(x43501),x43502)),f317(f298(x43501),x43503))),f317(f298(x43501),f317(f317(f100(f910(x43501,a898)),x43502),x43503))))
% 192.07/191.92 [4439]E(f317(f252(x44391),f317(f317(f20(x44391,a898,a898),f317(f317(f10(a898,f910(a898,a898),x44391),a315),f317(f317(f9(x44391,f910(x44391,a898),a898),f319(x44391)),x44392))),f317(f317(f10(a898,a898,x44391),a312),f317(f317(f9(x44391,f910(x44391,a898),a898),f319(x44391)),x44393)))),f317(f317(f3(f910(x44391,a898)),x44392),x44393))
% 192.07/191.92 [4463]E(f317(f30(a903),f317(f252(a903),f317(f317(f20(a903,a898,a898),f317(f317(f10(a898,f910(a898,a898),a903),a315),f317(f317(f9(a903,a903,a898),f227(a903)),f317(f179(f904(x44631)),x44632)))),f317(f317(f10(x44631,a898,a903),x44633),f317(f154(x44631),x44632))))),f317(f179(f904(x44631)),f317(f126(x44631,x44633),x44632)))
% 192.07/191.92 [4465]E(f317(f179(f904(x44651)),f166(x44651,x44652,x44653)),f317(f30(a903),f317(f252(a903),f317(f317(f20(a903,a898,a898),f317(f317(f10(a898,f910(a898,a898),a903),a315),f317(f317(f9(a903,a903,a898),f227(a903)),f317(f179(f904(x44651)),x44652)))),f317(f317(f9(a903,f910(a903,a898),a898),f319(a903)),x44653)))))
% 192.07/191.92 [4561]E(f317(f317(f91(f910(f909(f904(x45611),f904(x45611)),a898)),f317(f300(f909(f909(x45611,f904(x45611)),f909(x45611,f904(x45611))),f909(f904(x45611),f904(x45611)),f248(f909(x45611,f904(x45611)),f904(x45611),f909(x45611,f904(x45611)),f904(x45611),f317(f247(x45611,f904(x45611),f904(x45611)),f141(x45611)),f317(f247(x45611,f904(x45611),f904(x45611)),f141(x45611)))),f310(x45611,f904(x45611),x45612,f317(f133(x45611,x45612),x45613)))),f317(f252(f909(f904(x45611),f904(x45611))),f317(f247(f904(x45611),f904(x45611),a898),f317(f317(f9(f904(x45611),f910(f904(x45611),a898),f910(f904(x45611),a898)),f317(f317(f10(f910(a898,a898),f910(f910(f904(x45611),a898),f910(f904(x45611),a898)),f904(x45611)),f10(a898,a898,f904(x45611))),f317(f317(f10(a898,f910(a898,a898),f904(x45611)),a315),f317(f317(f9(f904(x45611),a903,a898),f317(f317(f10(a903,f910(a903,a898),f904(x45611)),a314),f179(f904(x45611)))),f317(a102,x45613))))),f317(f317(f9(f904(x45611),a903,a898),f317(f317(f10(a903,f910(a903,a898),f904(x45611)),a314),f179(f904(x45611)))),f317(a102,x45613)))))),f317(f133(x45611,x45612),f317(a102,x45613)))
% 192.07/191.92 [4062]E(f41(a903,f317(a102,f317(f317(f74(a903),f317(f317(f75(a903),x40621),x40622)),x40623)),x40622),f41(a903,f317(a102,x40623),x40622))
% 192.07/191.92 [4308]E(f317(f252(x43081),f317(f317(f20(x43081,a898,a898),f317(f317(f10(a898,f910(a898,a898),x43081),a315),x43082)),x43083)),f317(f317(f91(f910(x43081,a898)),f317(f252(x43081),x43082)),f317(f252(x43081),x43083)))
% 192.07/191.92 [4309]E(f317(f252(x43091),f317(f317(f20(x43091,a898,a898),f317(f317(f10(a898,f910(a898,a898),x43091),a316),x43092)),x43093)),f317(f317(f100(f910(x43091,a898)),f317(f252(x43091),x43092)),f317(f252(x43091),x43093)))
% 192.07/191.92 [4311]E(f317(f317(f124(x43111),f317(f317(f128(x43111),f41(a903,x43112,f317(f179(f904(x43111)),x43113))),x43113)),f317(f317(f165(x43111),f41(a903,x43112,f317(f179(f904(x43111)),x43113))),x43113)),f317(f317(f317(f173(f904(x43111),f904(x43111)),x43112),f157(x43111)),x43113))
% 192.07/191.92 [4317]E(f317(f252(x43171),f317(f317(f20(x43171,a898,a898),f317(f317(f10(a898,f910(a898,a898),x43171),a320),x43172)),x43173)),f317(f317(f100(f910(x43171,a898)),f317(f73(f910(x43171,a898)),f317(f252(x43171),x43172))),f317(f252(x43171),x43173)))
% 192.07/191.92 [4333]E(f317(f317(f74(a903),f317(f179(f904(x43331)),f317(f126(x43331,x43332),x43333))),f317(f179(f904(x43331)),f317(f126(x43331,f317(f317(f10(a898,a898,x43331),a312),x43332)),x43333))),f317(f179(f904(x43331)),x43333))
% 192.07/191.92 [4356]P2(f317(f317(f226(f910(x43561,a898)),f317(f317(f100(f910(x43561,a898)),f33(f910(x43561,a898),x43562)),f33(f910(x43561,a898),x43563))),f33(f910(x43561,a898),f317(f317(f91(f910(f910(x43561,a898),a898)),x43562),x43563))))
% 192.07/191.92 [4370]E(f317(f162(x43701),f317(f126(x43701,f317(f317(f10(a898,a898,x43701),a312),f317(f317(f9(x43701,x43701,a898),a314),x43702))),x43703)),f317(f317(f3(f910(x43701,a898)),f317(f162(x43701),x43703)),f317(f317(f299(x43701),x43702),f178(f910(x43701,a898)))))
% 192.07/191.92 [4379]P2(f317(f317(f226(f910(f909(x43791,x43791),a898)),f317(f317(f100(f910(f909(x43791,x43791),a898)),f297(x43791,x43792)),f297(x43791,x43793))),f297(x43791,f317(f317(f100(f910(f909(x43791,x43791),a898)),x43792),x43793))))
% 192.07/191.92 [4402]E(f317(f317(f75(a903),f317(a102,f317(a102,f2(a903)))),f317(f317(f8(a903,a903),f317(f317(f10(a903,a903,a903),f317(f74(a903),x44021)),f317(f317(f9(a903,a903,a903),f75(a903)),x44022))),f317(f272(a903),x44023))),f317(f317(f75(a903),x44023),f317(f317(f74(a903),x44021),f317(f317(f74(a903),x44021),f317(f317(f75(a903),f317(f317(f3(a903),x44023),f72(a903))),x44022)))))
% 192.07/191.92 [4412]E(f317(f252(x44121),f317(f317(f20(x44121,a898,a898),f317(f317(f10(a898,f910(a898,a898),x44121),a315),f317(f317(f9(x44121,f910(x44121,a898),a898),f319(x44121)),f317(f162(x44121),x44122)))),x44123)),f317(f162(x44121),f317(f126(x44121,x44123),x44122)))
% 192.07/191.92 [4560]E(f317(f252(x45601),f317(f317(f10(f910(a903,a898),a898,x45601),f81(a903)),f317(f317(f9(x45601,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),x45601),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),x45601),f317(f10(a898,f910(a898,a898),a903),a315)),f317(f317(f9(x45601,f910(a903,x45601),f910(a903,a898)),f317(f317(f10(f910(x45601,a898),f910(f910(a903,x45601),f910(a903,a898)),x45601),f10(x45601,a898,a903)),a314)),f317(f154(x45601),x45602))))),f317(f317(f20(a903,a898,a898),f317(f317(f10(a898,f910(a898,a898),a903),a315),f317(f317(f9(a903,a903,a898),f227(a903)),f317(f179(f904(x45601)),x45602)))),f317(f317(f9(a903,f910(a903,a898),a898),f319(a903)),x45603))))),f317(f162(x45601),f166(x45601,x45602,x45603)))
% 192.07/191.92 [4452]E(f317(f252(x44521),f317(f317(f20(x44521,a898,a898),f317(f317(f10(a898,f910(a898,a898),x44521),a320),f317(f317(f10(a898,a898,x44521),a312),f317(f317(f9(x44521,x44521,a898),a314),x44522)))),x44523)),f317(f317(f299(x44521),x44522),f317(f252(x44521),x44523)))
% 192.07/191.92 [4484]E(f317(f317(f144(f909(x44841,a903),x44841),f241(x44841,a903)),f317(f126(f909(x44841,a903),f317(f317(f9(f909(x44841,a903),f910(a903,a898),a898),f317(f317(f10(a903,f910(f910(a903,a898),a898),f909(x44841,a903)),f319(a903)),f246(x44841,a903))),x44842)),f317(f317(f171(x44841,a903),x44843),f129(a903,f317(f292(a903,f2(a903)),f317(f179(f904(x44841)),x44843)))))),f166(x44841,x44843,x44842))
% 192.07/191.92 [4511]E(f317(f317(f75(a1),f317(f93(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(a903,a1),f317(f317(f10(a1,a1,a903),f317(f74(a1),x45111)),f317(f317(f9(a903,a1,a1),f317(f317(f10(a1,f910(a1,a1),a903),f75(a1)),f90(a1))),x45112))),f317(f272(a903),x45113))),f317(f317(f75(a1),f317(f90(a1),x45113)),f317(f317(f74(a1),x45111),f317(f317(f74(a1),x45111),f317(f317(f75(a1),f317(f90(a1),f317(f317(f3(a903),x45113),f72(a903)))),x45112)))))
% 192.07/191.92 [4553]E(f317(f252(f909(x45531,x45532)),f317(f247(x45531,x45532,a898),f317(f317(f9(x45531,f910(f909(x45532,x45531),a898),f910(x45532,a898)),f317(f317(f10(f910(x45532,f910(f910(f909(x45532,x45531),a898),a898)),f910(f910(f909(x45532,x45531),a898),f910(x45532,a898)),x45531),f9(x45532,f910(f909(x45532,x45531),a898),a898)),f317(f317(f10(f910(x45532,f909(x45532,x45531)),f910(x45532,f910(f910(f909(x45532,x45531),a898),a898)),x45531),f317(f10(f909(x45532,x45531),f910(f910(f909(x45532,x45531),a898),a898),x45532),f319(f909(x45532,x45531)))),f317(f9(x45532,x45531,f909(x45532,x45531)),f242(x45532,x45531))))),x45533))),f317(f276(x45532,x45531),x45533))
% 192.07/191.92 [4573]E(f317(f252(f904(x45731)),f317(f317(f10(f910(x45731,a898),a898,f904(x45731)),f81(x45731)),f317(f317(f10(f910(x45731,f910(f904(x45731),a898)),f910(x45731,a898),f904(x45731)),f317(f10(f910(f904(x45731),a898),a898,x45731),f81(f904(x45731)))),f317(f317(f9(f904(x45731),f910(x45731,f910(f904(x45731),a898)),f910(x45731,f910(f904(x45731),a898))),f317(f317(f10(f910(x45731,f910(f910(f904(x45731),a898),f910(f904(x45731),a898))),f910(f910(x45731,f910(f904(x45731),a898)),f910(x45731,f910(f904(x45731),a898))),f904(x45731)),f20(x45731,f910(f904(x45731),a898),f910(f904(x45731),a898))),f317(f317(f10(f910(x45731,f910(f904(x45731),f910(a898,a898))),f910(x45731,f910(f910(f904(x45731),a898),f910(f904(x45731),a898))),f904(x45731)),f317(f10(f910(f904(x45731),f910(a898,a898)),f910(f910(f904(x45731),a898),f910(f904(x45731),a898)),x45731),f20(f904(x45731),a898,a898))),f317(f317(f10(f910(x45731,f910(f904(x45731),a898)),f910(x45731,f910(f904(x45731),f910(a898,a898))),f904(x45731)),f317(f10(f910(f904(x45731),a898),f910(f904(x45731),f910(a898,a898)),x45731),f317(f10(a898,f910(a898,a898),f904(x45731)),a315))),f317(f317(f9(f904(x45731),f910(x45731,f910(f904(x45731),f904(x45731))),f910(x45731,f910(f904(x45731),a898))),f317(f317(f10(f910(f910(f904(x45731),f904(x45731)),f910(f904(x45731),a898)),f910(f910(x45731,f910(f904(x45731),f904(x45731))),f910(x45731,f910(f904(x45731),a898))),f904(x45731)),f10(f910(f904(x45731),f904(x45731)),f910(f904(x45731),a898),x45731)),f317(f317(f10(f910(f904(x45731),a898),f910(f910(f904(x45731),f904(x45731)),f910(f904(x45731),a898)),f904(x45731)),f10(f904(x45731),a898,f904(x45731))),a314))),f141(x45731)))))),f317(f317(f9(x45731,f910(f904(x45731),a898),f910(f904(x45731),a898)),f317(f317(f10(f910(a898,a898),f910(f910(f904(x45731),a898),f910(f904(x45731),a898)),x45731),f10(a898,a898,f904(x45731))),f317(f317(f10(a898,f910(a898,a898),x45731),a315),f317(f317(f9(x45731,f910(x45731,a898),a898),f319(x45731)),x45732)))),f317(f317(f9(f904(x45731),f910(f904(x45731),a898),a898),f319(f904(x45731))),x45733)))))),f164(x45731,x45732,x45733))
% 192.07/191.92 [4570]E(f317(f317(f80(a1,f909(a1,a1)),f317(f317(f3(a1),x45701),x45702)),f317(f317(f9(a1,f909(a1,a1),f909(a1,a1)),f317(f317(f20(a1,f909(a1,a1),f910(f909(a1,a1),f909(a1,a1))),f317(f317(f10(a898,f910(f909(a1,a1),f910(f909(a1,a1),f909(a1,a1))),a1),f86(f909(a1,a1))),f317(f226(a1),f2(a1)))),f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f93(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)))),x45703)),f72(a1))))),f317(f317(f242(a1,a1),f317(f317(f75(a1),f317(f93(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)))),x45703)),x45701))),f317(f39(x45702),f317(f317(f242(a1,a1),x45703),x45701)))
% 192.07/191.92 [3626]E(f106(x36261,f317(x36262,x36263),f317(x36264,x36263)),f317(f193(x36261,x36262,x36264),x36263))
% 192.07/191.92 [3679]E(f317(f317(f235(x36791,x36792,x36793),x36794),f2(a903)),x36792)
% 192.07/191.92 [3717]E(f175(x37171,x37172,x37173,f317(a102,x37174)),f317(x37173,x37174))
% 192.07/191.92 [3758]E(f160(x37581,x37582,f160(x37581,x37583,x37584)),f160(x37581,x37583,f160(x37581,x37582,x37584)))
% 192.07/191.92 [3759]E(f116(x37591,x37592,f106(x37591,x37593,x37594)),f106(x37591,f116(x37591,x37592,x37593),x37594))
% 192.07/191.92 [3892]E(f317(f146(x38921,x38922,x38923,x38924),f103(x38922)),x38923)
% 192.07/191.92 [3893]E(f317(f132(x38931,x38932,x38933,x38934),f103(x38932)),x38934)
% 192.07/191.92 [3930]E(f317(f179(f907(x39301,x39302)),f210(x39301,x39302,x39303,x39304)),f2(a903))
% 192.07/191.92 [3953]E(f317(f247(x39531,x39532,x39533),f245(x39531,x39532,x39533,x39534)),x39534)
% 192.07/191.92 [3996]E(f317(f317(f124(x39961),f159(x39961,x39962,x39963)),f159(x39961,x39964,x39963)),f317(f317(f124(x39961),f159(x39961,x39964,x39963)),f159(x39961,x39962,x39963)))
% 192.07/191.92 [4081]E(f317(f317(f249(x40811,x40812,x40813,f909(x40812,x40813)),x40814),f242(x40812,x40813)),x40814)
% 192.07/191.92 [4091]E(f117(x40911,x40912,x40913,x40914,f109(x40912)),x40913)
% 192.07/191.92 [4097]E(f69(x40971,x40972,x40973,x40974,f317(x40973,x40974)),x40973)
% 192.07/191.92 [4363]P42(x43631,x43632,x43633,x43634,f178(f910(x43631,a898)),x43634)
% 192.07/191.92 [3432]E(f317(f317(f18(x34321,x34322),x34323),x34324),x34323)
% 192.07/191.92 [3707]E(f160(x37071,x37072,f317(f126(x37071,x37073),x37074)),f317(f126(x37071,x37073),f160(x37071,x37072,x37074)))
% 192.07/191.92 [3741]E(f317(f317(f59(x37411,x37412,x37413),x37414),f178(f910(x37411,a898))),x37414)
% 192.07/191.92 [3765]E(f317(f317(f154(x37651),f317(f317(f141(x37651),x37652),x37653)),f317(a102,x37654)),f317(f317(f154(x37651),x37653),x37654))
% 192.07/191.92 [3832]E(f317(f317(x38321,x38322),f317(f174(x38323,x38324,x38321),x38322)),f317(f174(x38323,x38324,x38321),f317(a102,x38322)))
% 192.07/191.92 [3873]E(f245(x38731,x38732,x38733,f317(f247(x38731,x38732,x38733),x38734)),x38734)
% 192.07/191.92 [3928]E(f317(f317(f149(x39281,f317(f317(f141(x39281),x39282),x39283)),f2(a903)),x39284),f317(f317(f141(x39281),x39284),x39283))
% 192.07/191.92 [3938]E(f317(f317(f36(f910(x39381,a898),f910(x39382,a898)),x39383),f300(x39381,x39382,x39384)),f317(f300(x39381,x39382,x39384),f32(f910(x39381,a898),x39383)))
% 192.07/191.92 [3939]E(f317(f317(f36(f910(x39391,a898),f910(x39392,a898)),x39393),f301(x39392,x39391,x39394)),f317(f301(x39392,x39391,x39394),f32(f910(x39391,a898),x39393)))
% 192.07/191.92 [3964]E(f110(x39641,f120(x39642,f905(x39641),x39643,x39644)),f317(f108(x39642,x39641,x39644),x39643))
% 192.07/191.92 [4036]E(f317(f115(x40361,x40362),f116(x40361,x40363,x40364)),f317(f317(f74(a903),f317(f317(f74(a903),f317(x40362,x40363)),f317(f115(x40361,x40362),x40364))),f317(a102,f2(a903))))
% 192.07/191.92 [4057]E(f317(f132(x40571,x40572,f317(f9(x40572,x40571,x40571),x40573),x40574),f317(f158(x40572),f103(x40572))),x40574)
% 192.07/191.92 [4161]E(f213(x41611,f909(x41612,f905(x41612)),x41613,f317(f247(x41612,f905(x41612),x41611),x41614),f317(f125(x41612),f109(x41612))),x41613)
% 192.07/191.92 [4293]E(f317(f247(x42931,x42932,x42933),f317(f317(f10(f910(x42932,f909(x42931,x42932)),f910(x42932,x42933),x42931),f317(f10(f909(x42931,x42932),x42933,x42932),x42934)),f242(x42931,x42932))),x42934)
% 192.07/191.92 [3617]E(f317(f246(x36171,x36172),f317(f317(f242(x36171,x36172),x36173),x36174)),x36174)
% 192.07/191.92 [3618]E(f317(f241(x36181,x36182),f317(f317(f242(x36181,x36182),x36183),x36184)),x36183)
% 192.07/191.92 [3651]E(f317(f179(f904(x36511)),f317(f317(f149(x36511,x36512),x36513),x36514)),f317(f179(f904(x36511)),x36512))
% 192.07/191.92 [3652]E(f317(f179(f904(x36521)),f317(f317(f144(x36522,x36521),x36523),x36524)),f317(f179(f904(x36522)),x36524))
% 192.07/191.92 [3673]E(f317(f317(f128(x36731),f317(a102,x36732)),f317(f317(f141(x36731),x36733),x36734)),f317(f317(f128(x36731),x36732),x36734))
% 192.07/191.92 [3736]E(f317(f317(f165(x37361),x37362),f159(x37361,x37363,x37364)),f159(x37361,f317(f317(f224(a903),x37362),x37363),x37364))
% 192.07/191.92 [3737]E(f317(f317(f128(x37371),x37372),f159(x37371,x37373,x37374)),f159(x37371,f317(f317(f3(a903),x37373),x37372),x37374))
% 192.07/191.92 [3743]E(f317(f317(f299(x37431),x37432),f317(f317(f299(x37431),x37433),x37434)),f317(f317(f299(x37431),x37433),f317(f317(f299(x37431),x37432),x37434)))
% 192.07/191.92 [3747]E(f317(f317(f144(x37471,x37472),x37473),f104(x37471,x37474)),f104(x37472,f317(f317(f144(x37471,x37472),x37473),x37474)))
% 192.07/191.92 [3763]E(f317(f158(x37631),f317(f317(f144(x37632,x37631),x37633),x37634)),f317(f317(f144(x37632,x37631),x37633),f317(f158(x37632),x37634)))
% 192.07/191.92 [3764]E(f317(f317(f144(x37641,x37642),x37643),f317(f161(x37641),x37644)),f317(f161(x37642),f317(f317(f144(x37641,x37642),x37643),x37644)))
% 192.07/191.92 [3779]E(f317(f317(f165(x37791),f317(a102,x37792)),f317(f317(f141(x37791),x37793),x37794)),f317(f317(f141(x37791),x37793),f317(f317(f165(x37791),x37792),x37794)))
% 192.07/191.92 [3782]E(f317(f162(x37821),f317(f317(f144(x37822,x37821),x37823),x37824)),f317(f300(x37822,x37821,x37823),f317(f162(x37822),x37824)))
% 192.07/191.92 [3795]E(f317(f317(f144(x37951,x37952),f317(f18(x37952,x37951),x37953)),x37954),f159(x37952,f317(f179(f904(x37951)),x37954),x37953))
% 192.07/191.92 [3831]E(f19(x38311,x38312,x38313,f317(a5,f317(a102,f317(a22,x38314)))),f317(x38313,x38314))
% 192.07/191.92 [3835]E(f317(f317(f124(x38351),f317(f126(x38351,x38352),x38353)),f317(f126(x38351,x38352),x38354)),f317(f126(x38351,x38352),f317(f317(f124(x38351),x38353),x38354)))
% 192.07/191.92 [3847]E(f142(x38471,f317(f317(f144(x38472,x38471),x38473),f142(x38472,x38474))),f142(x38471,f317(f317(f144(x38472,x38471),x38473),x38474)))
% 192.07/191.92 [3862]E(f317(f276(x38621,x38621),f317(f317(f278(x38622,x38621),x38623),x38624)),f317(f317(f278(x38622,x38621),f317(f276(x38622,x38622),x38623)),x38624))
% 192.07/191.92 [3874]E(f317(f317(f279(x38741,x38742,x38743),x38744),f178(f910(f909(x38742,x38743),a898))),f178(f910(f909(x38741,x38743),a898)))
% 192.07/191.92 [3875]E(f317(f317(f165(x38751),f317(f317(f3(a903),x38752),x38753)),f317(f317(f128(x38751),x38753),x38754)),f317(f317(f128(x38751),x38753),f317(f317(f165(x38751),x38752),x38754)))
% 192.07/191.92 [3894]E(f317(f317(f124(x38941),f159(x38941,x38942,x38943)),f159(x38941,x38944,x38943)),f159(x38941,f317(f317(f74(a903),x38942),x38944),x38943))
% 192.07/191.92 [3895]E(f317(f317(f317(f268(x38951),x38952),x38953),x38954),f317(f242(f910(a89,f910(a898,f906(f905(x38951)))),f909(a89,a89)),f317(f38(x38951),x38952)))
% 192.07/191.92 [3921]E(f32(f910(x39211,a898),f317(f300(x39212,f910(x39211,a898),x39213),x39214)),f317(f317(f36(x39212,f910(x39211,a898)),x39214),x39213))
% 192.07/191.92 [3922]E(f33(f910(x39221,a898),f317(f300(x39222,f910(x39221,a898),x39223),x39224)),f317(f317(f35(x39222,f910(x39221,a898)),x39224),x39223))
% 192.07/191.92 [3923]E(f317(f179(f904(f909(x39231,x39232))),f317(f317(f171(x39231,x39232),x39233),x39234)),f317(f317(f224(a903),f317(f179(f904(x39231)),x39233)),f317(f179(f904(x39232)),x39234)))
% 192.07/191.92 [3925]E(f317(f301(x39251,x39252,x39253),f317(f73(f910(x39252,a898)),x39254)),f317(f73(f910(x39251,a898)),f317(f301(x39251,x39252,x39253),x39254)))
% 192.07/191.92 [3974]E(f317(f301(x39741,x39742,x39743),f317(f252(x39742),x39744)),f317(f252(x39741),f317(f317(f10(x39742,a898,x39741),x39744),x39743)))
% 192.07/191.92 [3991]E(f317(f317(f154(x39911),f317(f317(f124(x39911),x39912),f317(f317(f141(x39911),x39913),x39914))),f317(f179(f904(x39911)),x39912)),x39913)
% 192.07/191.92 [4013]E(f317(f300(x40131,x40132,x40133),f317(f301(x40131,x40132,x40133),x40134)),f317(f317(f91(f910(x40132,a898)),x40134),f317(f300(x40131,x40132,x40133),f232(f910(x40131,a898)))))
% 192.07/191.92 [4032]P2(f317(f317(f319(x40321),f317(x40322,x40323)),f317(f300(x40324,x40321,x40322),f232(f910(x40324,a898)))))
% 192.07/191.92 [4041]E(f21(x40411,x40412,x40413,f317(a5,f317(a102,f317(a22,x40414)))),f317(f317(x40413,x40414),f21(x40411,x40412,x40413,x40414)))
% 192.07/191.92 [4045]E(f317(f317(f124(x40451),f159(x40451,x40452,x40453)),f317(f317(f141(x40451),x40453),x40454)),f317(f317(f141(x40451),x40453),f317(f317(f124(x40451),f159(x40451,x40452,x40453)),x40454)))
% 192.07/191.92 [4047]E(f317(f317(f244(x40471,x40472),f317(f162(x40471),x40473)),f317(f18(f910(x40472,a898),x40471),f317(f162(x40472),x40474))),f317(f162(f909(x40471,x40472)),f55(x40471,x40472,x40473,x40474)))
% 192.07/191.92 [4059]E(f145(x40591,x40592,f317(f317(f141(x40591),x40593),x40594)),f317(f317(f74(a903),f317(f317(f74(a903),f317(x40592,x40593)),f145(x40591,x40592,x40594))),f317(a102,f2(a903))))
% 192.07/191.92 [4072]E(f175(f904(x40721),f317(f317(f141(x40721),x40722),x40723),f317(f317(f9(a903,f904(x40721),f904(x40721)),f128(x40721)),x40723),x40724),f317(f317(f128(x40721),x40724),f317(f317(f141(x40721),x40722),x40723)))
% 192.07/191.92 [4073]P25(x40731,f909(x40732,x40731),f321(x40733,x40734,x40732,x40731),f317(f317(f36(x40732,f910(x40731,a898)),x40734),x40733))
% 192.07/191.92 [4082]E(f317(f317(f3(f910(x40821,a898)),f317(f317(f3(f910(x40821,a898)),x40822),x40823)),f317(f317(f299(x40821),x40824),f178(f910(x40821,a898)))),f317(f317(f3(f910(x40821,a898)),x40822),f317(f317(f299(x40821),x40824),x40823)))
% 192.07/191.92 [4095]E(f317(f317(f173(f910(x40951,x40952),f910(x40951,x40952)),x40953),f67(x40952,x40952,x40951,x40954)),f67(x40952,x40952,x40951,f317(f317(f173(x40952,x40952),x40953),x40954)))
% 192.07/191.92 [4166]E(f317(f317(f317(f173(f904(x41661),f904(x41661)),x41662),f157(x41661)),f317(f317(f317(f173(f904(x41661),f904(x41661)),x41663),f157(x41661)),x41664)),f317(f317(f317(f173(f904(x41661),f904(x41661)),f317(f317(f74(a903),x41662),x41663)),f157(x41661)),x41664))
% 192.07/191.92 [4251]P2(f317(f317(f226(f910(x42511,a898)),f317(f162(x42511),f317(f317(f149(x42511,x42512),x42513),x42514))),f317(f317(f299(x42511),x42514),f317(f162(x42511),x42512))))
% 192.07/191.92 [4283]E(f317(f317(f36(f910(x42831,a898),f910(f909(x42831,x42832),a898)),x42833),f317(f317(f9(f910(x42831,a898),f910(x42831,f910(x42832,a898)),f910(f909(x42831,x42832),a898)),f244(x42831,x42832)),x42834)),f317(f317(f244(x42831,x42832),f32(f910(x42831,a898),x42833)),x42834))
% 192.07/191.92 [4321]E(f199(x43211,x43212,x43213,f317(f67(x43212,f910(a89,f910(a89,f910(f909(a89,a89),f910(a89,f905(x43212))))),x43211,f198(x43212)),x43214)),f200(x43211,x43212,x43214,x43213))
% 192.07/191.92 [4336]E(f195(x43361,x43362,x43363,f317(f67(x43362,f910(a89,f910(a89,f910(f909(a89,a89),f910(a89,f905(f906(x43362)))))),x43361,f194(x43362)),x43364)),f196(x43361,x43362,x43364,x43363))
% 192.07/191.92 [4341]P2(f317(f61(x43411,x43412,x43413,x43414,f178(f910(x43411,a898))),x43414))
% 192.07/191.92 [4380]E(f317(f317(f36(x43801,f910(x43802,a898)),x43803),f317(f317(f9(x43801,f910(x43802,a898),f910(x43802,a898)),f317(f317(f10(x43802,f910(f910(x43802,a898),f910(x43802,a898)),x43801),f299(x43802)),x43804)),f178(f910(x43802,a898)))),f317(f300(x43801,x43802,x43804),x43803))
% 192.07/191.92 [4387]P2(f317(f317(f226(f910(x43871,a898)),f317(f274(x43872,x43871),f317(f317(f91(f910(f909(x43872,x43871),a898)),x43873),x43874))),f317(f317(f91(f910(x43871,a898)),f317(f274(x43872,x43871),x43873)),f317(f274(x43872,x43871),x43874))))
% 192.07/191.92 [4388]P2(f317(f317(f226(f910(x43881,a898)),f317(f254(x43881,x43882),f317(f317(f91(f910(f909(x43881,x43882),a898)),x43883),x43884))),f317(f317(f91(f910(x43881,a898)),f317(f254(x43881,x43882),x43883)),f317(f254(x43881,x43882),x43884))))
% 192.07/191.92 [4448]P2(f317(f317(f226(f910(f909(x44481,x44482),a898)),f317(f300(x44482,f909(x44481,x44482),f321(x44483,x44484,x44481,x44482)),f317(f317(f36(x44481,f910(x44482,a898)),x44484),x44483))),f317(f317(f244(x44481,x44482),x44484),x44483)))
% 192.07/191.92 [4449]E(f317(f108(x44491,f909(x44491,x44492),x44493),f317(f317(f10(f910(x44492,f905(f909(x44491,x44492))),f905(f909(x44491,x44492)),x44491),f108(x44492,f909(x44491,x44492),x44494)),f317(f317(f10(f910(x44492,f909(x44491,x44492)),f910(x44492,f905(f909(x44491,x44492))),x44491),f317(f10(f909(x44491,x44492),f905(f909(x44491,x44492)),x44492),f119(f909(x44491,x44492)))),f242(x44491,x44492)))),f121(x44491,x44492,x44493,x44494))
% 192.07/191.92 [4450]E(f266(x44501,x44502,x44503,f317(f67(x44502,f910(a89,f910(a89,f910(f909(a89,a89),f909(f910(a89,f910(a898,f906(f905(x44502)))),f909(a89,a89))))),x44501,f268(x44502)),x44504)),f269(x44501,x44502,x44504,x44503))
% 192.07/191.92 [4490]E(f79(f909(x44901,x44902),f317(f247(x44901,x44902,a898),f317(f317(f9(x44901,f910(x44902,a898),f910(x44902,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x44902,a898),f910(x44902,a898)),x44901),f10(a898,a898,x44902)),f317(f317(f10(a898,f910(a898,a898),x44901),a315),f317(a314,x44903)))),f317(a314,x44904)))),f317(f317(f242(x44901,x44902),x44903),x44904))
% 192.07/191.92 [4491]E(f84(f909(x44911,x44912),f317(f247(x44911,x44912,a898),f317(f317(f9(x44911,f910(x44912,a898),f910(x44912,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x44912,a898),f910(x44912,a898)),x44911),f10(a898,a898,x44912)),f317(f317(f10(a898,f910(a898,a898),x44911),a315),f317(a314,x44913)))),f317(a314,x44914)))),f317(f317(f242(x44911,x44912),x44913),x44914))
% 192.07/191.92 [4562]E(f317(f317(f247(f904(x45621),f904(x45621),f909(f904(x45621),f904(x45621))),f317(f317(f20(f904(x45621),f910(f904(x45621),f909(f904(x45621),f904(x45621))),f910(f904(x45621),f909(f904(x45621),f904(x45621)))),f317(f317(f10(f910(f904(x45621),f910(f909(f904(x45621),f904(x45621)),f909(f904(x45621),f904(x45621)))),f910(f910(f904(x45621),f909(f904(x45621),f904(x45621))),f910(f904(x45621),f909(f904(x45621),f904(x45621)))),f904(x45621)),f20(f904(x45621),f909(f904(x45621),f904(x45621)),f909(f904(x45621),f904(x45621)))),f317(f317(f10(f910(f904(x45621),f909(f904(x45621),f904(x45621))),f910(f904(x45621),f910(f909(f904(x45621),f904(x45621)),f909(f904(x45621),f904(x45621)))),f904(x45621)),f317(f10(f909(f904(x45621),f904(x45621)),f910(f909(f904(x45621),f904(x45621)),f909(f904(x45621),f904(x45621))),f904(x45621)),f317(f86(f909(f904(x45621),f904(x45621))),f317(x45622,x45623)))),f317(f317(f10(f904(x45621),f910(f904(x45621),f909(f904(x45621),f904(x45621))),f904(x45621)),f242(f904(x45621),f904(x45621))),f317(f141(x45621),x45623))))),f317(f317(f9(f904(x45621),f910(f904(x45621),f904(x45621)),f910(f904(x45621),f909(f904(x45621),f904(x45621)))),f317(f317(f10(f910(f904(x45621),f909(f904(x45621),f904(x45621))),f910(f910(f904(x45621),f904(x45621)),f910(f904(x45621),f909(f904(x45621),f904(x45621)))),f904(x45621)),f10(f904(x45621),f909(f904(x45621),f904(x45621)),f904(x45621))),f242(f904(x45621),f904(x45621)))),f317(f141(x45621),x45623)))),f156(x45621,x45622,x45624)),f156(x45621,x45622,f317(f317(f141(x45621),x45623),x45624)))
% 192.07/191.92 [3811]E(f317(f317(f165(x38111),x38112),f317(f317(f165(x38111),x38113),x38114)),f317(f317(f165(x38111),f317(f317(f224(a903),x38112),x38113)),x38114))
% 192.07/191.92 [3812]E(f317(f317(f128(x38121),x38122),f317(f317(f128(x38121),x38123),x38124)),f317(f317(f128(x38121),f317(f317(f74(a903),x38122),x38123)),x38124))
% 192.07/191.92 [3823]E(f317(f317(f124(x38231),f317(f317(f124(x38231),x38232),x38233)),x38234),f317(f317(f124(x38231),x38232),f317(f317(f124(x38231),x38233),x38234)))
% 192.07/191.92 [3824]E(f317(f317(f124(x38241),f317(f317(f141(x38241),x38242),x38243)),x38244),f317(f317(f141(x38241),x38242),f317(f317(f124(x38241),x38243),x38244)))
% 192.07/191.92 [3905]E(f317(f317(f154(x39051),f317(f317(f141(x39051),x39052),x39053)),x39054),f175(x39051,x39052,f317(f154(x39051),x39053),x39054))
% 192.07/191.92 [3914]E(f317(f317(f173(x39141,x39141),x39142),f317(f317(f173(x39141,x39141),x39143),x39144)),f317(f317(f173(x39141,x39141),f317(f317(f75(a903),x39143),x39142)),x39144))
% 192.07/191.92 [3941]E(f317(f317(f100(f910(x39411,a898)),x39412),f317(f317(f299(x39411),x39413),x39414)),f317(f317(f299(x39411),x39413),f317(f317(f100(f910(x39411,a898)),x39412),x39414)))
% 192.07/191.92 [3956]E(f317(f317(f317(f173(x39561,x39561),x39562),x39563),f317(x39563,x39564)),f317(x39563,f317(f317(f317(f173(x39561,x39561),x39562),x39563),x39564)))
% 192.07/191.92 [3965]E(f317(f317(f279(x39651,x39652,x39653),f178(f910(f909(x39651,x39652),a898))),x39654),f178(f910(f909(x39651,x39653),a898)))
% 192.07/191.92 [3979]E(f317(f317(f100(f910(x39791,a898)),f317(f317(f299(x39791),x39792),x39793)),x39794),f317(f317(f299(x39791),x39792),f317(f317(f100(f910(x39791,a898)),x39793),x39794)))
% 192.07/191.92 [3998]E(f317(f30(f909(x39981,x39982)),f317(f317(f244(x39981,x39982),x39983),f317(f18(f910(x39982,a898),x39981),x39984))),f317(f317(f75(a903),f317(f30(x39981),x39983)),f317(f30(x39982),x39984)))
% 192.07/191.92 [4004]E(f317(f317(f91(f910(x40041,a898)),f317(f317(f299(x40041),x40042),x40043)),f317(f317(f299(x40041),x40042),x40044)),f317(f317(f299(x40041),x40042),f317(f317(f91(f910(x40041,a898)),x40043),x40044)))
% 192.07/191.92 [4017]E(f317(f317(f100(f910(x40171,a898)),x40172),f317(f317(f100(f910(x40171,a898)),x40173),x40174)),f317(f317(f100(f910(x40171,a898)),x40173),f317(f317(f100(f910(x40171,a898)),x40172),x40174)))
% 192.07/191.92 [4018]E(f317(f317(f91(f910(x40181,a898)),x40182),f317(f317(f91(f910(x40181,a898)),x40183),x40184)),f317(f317(f91(f910(x40181,a898)),x40183),f317(f317(f91(f910(x40181,a898)),x40182),x40184)))
% 192.07/191.92 [4028]E(f59(x40281,x40282,f317(f317(f10(x40282,f910(x40282,x40282),x40281),x40283),x40284)),f317(f60(x40282,x40281,x40283),x40284))
% 192.07/191.92 [4037]E(f169(x40371,f317(f317(f144(f904(x40372),f904(x40371)),f317(f144(x40372,x40371),x40373)),x40374)),f317(f317(f144(f904(x40372),f904(x40371)),f317(f144(x40372,x40371),x40373)),f169(x40372,x40374)))
% 192.07/191.92 [4056]E(f317(f132(f904(x40561),f904(x40561),f124(x40561),f103(x40561)),f317(f317(f144(x40562,f904(x40561)),x40563),x40564)),f153(x40562,x40561,x40563,x40564))
% 192.07/191.92 [4113]E(f317(f67(x41131,x41131,x41131,f317(f317(f173(x41131,x41131),x41132),x41133)),f317(f317(f173(x41131,x41131),x41134),x41133)),f317(f317(f173(x41131,x41131),f317(f317(f74(a903),x41132),x41134)),x41133))
% 192.07/191.92 [4136]E(f317(f317(f91(f910(x41361,a898)),f317(f317(f3(f910(x41361,a898)),x41362),x41363)),f317(f317(f3(f910(x41361,a898)),x41362),x41364)),f317(f317(f3(f910(x41361,a898)),x41362),f317(f317(f100(f910(x41361,a898)),x41363),x41364)))
% 192.07/191.92 [4137]E(f317(f317(f100(f910(x41371,a898)),f317(f317(f3(f910(x41371,a898)),x41372),x41373)),f317(f317(f3(f910(x41371,a898)),x41372),x41374)),f317(f317(f3(f910(x41371,a898)),x41372),f317(f317(f91(f910(x41371,a898)),x41373),x41374)))
% 192.07/191.92 [4138]E(f317(f317(f91(f910(x41381,a898)),f317(f317(f100(f910(x41381,a898)),x41382),x41383)),f317(f317(f100(f910(x41381,a898)),x41382),x41384)),f317(f317(f100(f910(x41381,a898)),x41382),f317(f317(f91(f910(x41381,a898)),x41383),x41384)))
% 192.07/191.92 [4139]E(f317(f317(f3(f910(x41391,a898)),f317(f317(f91(f910(x41391,a898)),x41392),x41393)),f317(f317(f91(f910(x41391,a898)),x41392),x41394)),f317(f317(f91(f910(x41391,a898)),x41392),f317(f317(f3(f910(x41391,a898)),x41393),x41394)))
% 192.07/191.92 [4140]E(f317(f317(f100(f910(x41401,a898)),f317(f317(f91(f910(x41401,a898)),x41402),x41403)),f317(f317(f91(f910(x41401,a898)),x41402),x41404)),f317(f317(f91(f910(x41401,a898)),x41402),f317(f317(f100(f910(x41401,a898)),x41403),x41404)))
% 192.07/191.92 [4145]E(f317(f30(f909(x41451,x41452)),f317(f317(f244(x41451,x41452),f317(f317(f299(x41451),x41453),f178(f910(x41451,a898)))),f317(f18(f910(x41452,a898),x41451),x41454))),f317(f30(x41452),x41454))
% 192.07/191.92 [4180]E(f317(f317(f36(x41801,f910(x41802,a898)),x41803),f317(f317(f10(f910(x41802,a898),f910(x41802,a898),x41801),f73(f910(x41802,a898))),x41804)),f317(f73(f910(x41802,a898)),f317(f317(f35(x41801,f910(x41802,a898)),x41803),x41804)))
% 192.07/191.92 [4181]E(f317(f317(f35(x41811,f910(x41812,a898)),x41813),f317(f317(f10(f910(x41812,a898),f910(x41812,a898),x41811),f73(f910(x41812,a898))),x41814)),f317(f73(f910(x41812,a898)),f317(f317(f36(x41811,f910(x41812,a898)),x41813),x41814)))
% 192.07/191.92 [4197]E(f317(f317(f279(x41971,x41971,x41971),f317(f317(f173(f909(x41971,x41971),a898),x41972),x41973)),f317(f317(f173(f909(x41971,x41971),a898),x41974),x41973)),f317(f317(f173(f909(x41971,x41971),a898),f317(f317(f74(a903),x41972),x41974)),x41973))
% 192.07/191.92 [4227]E(f317(f317(f35(x42271,f910(f910(x42272,a898),a898)),x42273),f317(f317(f10(f910(x42272,a898),f910(f910(x42272,a898),a898),x42271),f298(x42272)),x42274)),f317(f298(x42272),f317(f317(f35(x42271,f910(x42272,a898)),x42273),x42274)))
% 192.07/191.92 [4256]E(f317(f317(f35(f910(x42561,a898),f910(x42562,a898)),x42563),f317(f317(f9(f910(x42561,a898),f910(x42561,f910(x42562,a898)),f910(x42562,a898)),f35(x42561,f910(x42562,a898))),x42564)),f317(f317(f35(x42561,f910(x42562,a898)),f32(f910(x42561,a898),x42563)),x42564))
% 192.07/191.92 [4257]E(f317(f317(f36(f910(x42571,a898),f910(x42572,a898)),x42573),f317(f317(f9(f910(x42571,a898),f910(x42571,f910(x42572,a898)),f910(x42572,a898)),f36(x42571,f910(x42572,a898))),x42574)),f317(f317(f36(x42571,f910(x42572,a898)),f32(f910(x42571,a898),x42573)),x42574))
% 192.07/191.92 [4262]E(f317(f317(f144(x42621,x42622),x42623),f317(f132(f904(x42621),f904(x42621),f124(x42621),f103(x42621)),x42624)),f317(f132(f904(x42622),f904(x42622),f124(x42622),f103(x42622)),f317(f317(f144(f904(x42621),f904(x42622)),f317(f144(x42621,x42622),x42623)),x42624)))
% 192.07/191.92 [4264]E(f175(f904(x42641),f103(x42641),f317(f317(f10(f904(x42641),f904(x42641),a903),f317(f141(x42641),x42642)),f317(f317(f9(a903,f904(x42641),f904(x42641)),f165(x42641)),x42643)),x42644),f317(f317(f165(x42641),x42644),f317(f317(f141(x42641),x42642),x42643)))
% 192.07/191.92 [4302]P2(f317(f317(f226(f910(x43021,a898)),f317(f300(x43022,x43021,x43023),f317(f301(x43022,x43021,x43023),x43024))),x43024))
% 192.07/191.92 [4304]E(f317(f300(f909(x43041,x43042),f909(x43042,x43041),f317(f247(x43041,x43042,f909(x43042,x43041)),f317(f9(x43042,x43041,f909(x43042,x43041)),f242(x43042,x43041)))),f317(f317(f244(x43041,x43042),x43043),f317(f18(f910(x43042,a898),x43041),x43044))),f317(f317(f244(x43042,x43041),x43044),f317(f18(f910(x43041,a898),x43042),x43043)))
% 192.07/191.92 [4313]E(f317(f317(f36(x43131,f910(x43132,a898)),x43133),f317(f317(f10(f910(x43131,a898),f910(x43132,a898),x43131),f275(x43131,x43132,x43134)),f317(f317(f9(x43131,f910(x43131,a898),f910(x43131,a898)),f299(x43131)),f178(f910(x43131,a898))))),f317(f275(x43131,x43132,x43134),x43133))
% 192.07/191.92 [4314]E(f317(f317(f36(x43141,f910(x43142,a898)),x43143),f317(f317(f10(f910(x43141,a898),f910(x43142,a898),x43141),f301(x43142,x43141,x43144)),f317(f317(f9(x43141,f910(x43141,a898),f910(x43141,a898)),f299(x43141)),f178(f910(x43141,a898))))),f317(f301(x43142,x43141,x43144),x43143))
% 192.07/191.92 [4401]E(f317(f317(f100(f910(x44011,a898)),f317(f317(f100(f910(x44011,a898)),f317(f317(f91(f910(x44011,a898)),x44012),x44013)),f317(f317(f91(f910(x44011,a898)),x44013),x44014))),f317(f317(f91(f910(x44011,a898)),x44014),x44012)),f317(f317(f91(f910(x44011,a898)),f317(f317(f91(f910(x44011,a898)),f317(f317(f100(f910(x44011,a898)),x44012),x44013)),f317(f317(f100(f910(x44011,a898)),x44013),x44014))),f317(f317(f100(f910(x44011,a898)),x44014),x44012)))
% 192.07/191.92 [4464]E(f317(f132(f904(x44641),f904(x44641),f124(x44641),f103(x44641)),f317(f317(f144(x44642,f904(x44641)),f317(f317(f9(x44642,f904(x44641),f904(x44641)),f317(f317(f10(x44641,f910(f904(x44641),f904(x44641)),x44642),f141(x44641)),x44643)),f103(x44641))),x44644)),f317(f317(f144(x44642,x44641),x44643),x44644))
% 192.07/191.92 [4474]E(f317(f317(f80(a1,x44741),f317(f93(a1),f317(f317(f74(a1),x44742),a87))),f317(f317(f20(a1,x44741,x44741),f317(f317(f9(a1,x44741,f910(x44741,x44741)),f317(f317(f10(a898,f910(x44741,f910(x44741,x44741)),a1),f86(x44741)),a183)),x44743)),f317(f317(f10(a903,x44741,a1),x44744),a94))),f175(x44741,x44743,x44744,f317(f93(a903),x44742)))
% 192.07/191.92 [4505]E(f317(f252(x45051),f317(f317(f10(f910(x45052,a898),a898,x45051),f81(x45052)),f317(f317(f10(f910(x45052,a898),f910(x45052,a898),x45051),f317(f20(x45052,a898,a898),f317(f317(f10(a898,f910(a898,a898),x45052),a315),f317(f317(f9(x45052,f910(x45052,a898),a898),f319(x45052)),x45053)))),f317(f9(x45052,x45051,a898),x45054)))),f317(f275(x45052,x45051,f317(f252(f909(x45052,x45051)),f317(f247(x45052,x45051,a898),x45054))),x45053))
% 192.07/191.92 [4640]~P2(f317(f317(f178(f910(x46401,f910(x46402,a898))),x46403),x46404))
% 192.07/191.92 [3968]E(f317(f317(f154(x39681),f317(f317(f124(x39681),x39682),x39683)),f317(f317(f74(a903),f317(f179(f904(x39681)),x39682)),x39684)),f317(f317(f154(x39681),x39683),x39684))
% 192.07/191.92 [3973]E(f317(f317(f128(x39731),x39732),f317(f317(f165(x39731),f317(f317(f74(a903),x39733),x39732)),x39734)),f317(f317(f165(x39731),x39733),f317(f317(f128(x39731),x39732),x39734)))
% 192.07/191.92 [4070]E(f317(f317(f100(f910(x40701,a898)),f317(f274(x40702,x40701),x40703)),f317(f274(x40702,x40701),x40704)),f317(f274(x40702,x40701),f317(f317(f100(f910(f909(x40702,x40701),a898)),x40703),x40704)))
% 192.07/191.92 [4071]E(f317(f317(f100(f910(x40711,a898)),f317(f254(x40711,x40712),x40713)),f317(f254(x40711,x40712),x40714)),f317(f254(x40711,x40712),f317(f317(f100(f910(f909(x40711,x40712),a898)),x40713),x40714)))
% 192.07/191.92 [4076]E(f317(f317(f3(f910(x40761,a898)),f317(f317(f91(f910(x40761,a898)),x40762),x40763)),x40764),f317(f317(f91(f910(x40761,a898)),x40762),f317(f317(f3(f910(x40761,a898)),x40763),x40764)))
% 192.07/191.92 [4077]E(f317(f317(f100(f910(x40771,a898)),f317(f317(f100(f910(x40771,a898)),x40772),x40773)),x40774),f317(f317(f100(f910(x40771,a898)),x40772),f317(f317(f100(f910(x40771,a898)),x40773),x40774)))
% 192.07/191.92 [4078]E(f317(f317(f91(f910(x40781,a898)),f317(f317(f91(f910(x40781,a898)),x40782),x40783)),x40784),f317(f317(f91(f910(x40781,a898)),x40782),f317(f317(f91(f910(x40781,a898)),x40783),x40784)))
% 192.07/191.92 [4115]E(f317(f317(f100(f910(f909(x41151,x41152),a898)),f317(f276(x41152,x41151),x41153)),f317(f276(x41152,x41151),x41154)),f317(f276(x41152,x41151),f317(f317(f100(f910(f909(x41152,x41151),a898)),x41153),x41154)))
% 192.07/191.92 [4116]E(f317(f317(f91(f910(f909(x41161,x41162),a898)),f317(f276(x41162,x41161),x41163)),f317(f276(x41162,x41161),x41164)),f317(f276(x41162,x41161),f317(f317(f91(f910(f909(x41162,x41161),a898)),x41163),x41164)))
% 192.07/191.92 [4129]E(f317(f317(f100(f910(x41291,f910(x41292,a898))),f233(x41292,x41291,x41293)),f233(x41292,x41291,x41294)),f233(x41292,x41291,f317(f317(f100(f910(x41292,f910(x41291,a898))),x41293),x41294)))
% 192.07/191.92 [4130]E(f317(f317(f91(f910(x41301,f910(x41302,a898))),f233(x41302,x41301,x41303)),f233(x41302,x41301,x41304)),f233(x41302,x41301,f317(f317(f91(f910(x41302,f910(x41301,a898))),x41303),x41304)))
% 192.07/191.92 [4184]E(f317(f317(f100(f910(x41841,a898)),f317(f317(f3(f910(x41841,a898)),x41842),x41843)),f317(f317(f3(f910(x41841,a898)),x41844),x41843)),f317(f317(f3(f910(x41841,a898)),f317(f317(f100(f910(x41841,a898)),x41842),x41844)),x41843))
% 192.07/191.92 [4185]E(f317(f317(f91(f910(x41851,a898)),f317(f317(f100(f910(x41851,a898)),x41852),x41853)),f317(f317(f100(f910(x41851,a898)),x41854),x41853)),f317(f317(f100(f910(x41851,a898)),f317(f317(f91(f910(x41851,a898)),x41852),x41854)),x41853))
% 192.07/191.92 [4186]E(f317(f317(f3(f910(x41861,a898)),f317(f317(f91(f910(x41861,a898)),x41862),x41863)),f317(f317(f91(f910(x41861,a898)),x41864),x41863)),f317(f317(f91(f910(x41861,a898)),f317(f317(f3(f910(x41861,a898)),x41862),x41864)),x41863))
% 192.07/191.92 [4187]E(f317(f317(f100(f910(x41871,a898)),f317(f317(f91(f910(x41871,a898)),x41872),x41873)),f317(f317(f91(f910(x41871,a898)),x41874),x41873)),f317(f317(f91(f910(x41871,a898)),f317(f317(f100(f910(x41871,a898)),x41872),x41874)),x41873))
% 192.07/191.92 [4188]E(f317(f317(f3(f910(x41881,a898)),f317(f317(f91(f910(x41881,a898)),x41882),x41883)),f317(f317(f91(f910(x41881,a898)),x41884),x41883)),f317(f317(f3(f910(x41881,a898)),f317(f317(f91(f910(x41881,a898)),x41882),x41883)),x41884))
% 192.07/191.92 [4200]E(f317(f317(f3(f910(x42001,a898)),f317(f317(f3(f910(x42001,a898)),x42002),f317(f317(f299(x42001),x42003),f178(f910(x42001,a898))))),x42004),f317(f317(f3(f910(x42001,a898)),x42002),f317(f317(f299(x42001),x42003),x42004)))
% 192.07/191.92 [4253]E(f317(f317(f100(f910(x42531,a898)),f317(f317(f299(x42531),x42532),f317(f317(f299(x42531),x42533),f178(f910(x42531,a898))))),f317(f271(x42531),x42534)),f317(f271(x42531),f317(f317(f299(f909(x42531,x42531)),f317(f317(f242(x42531,x42531),x42532),x42533)),x42534)))
% 192.07/191.92 [4278]E(f317(f317(f36(a903,f910(x42781,a898)),f317(f291(a903),x42782)),f317(f317(f10(a903,f910(x42781,a898),a903),x42783),f317(f317(f9(a903,a903,a903),f74(a903)),x42784))),f317(f317(f36(a903,f910(x42781,a898)),f293(a903,x42784,f317(f317(f74(a903),x42782),x42784))),x42783))
% 192.07/191.92 [4279]E(f164(x42791,f317(f275(x42791,x42791,x42792),f317(f317(f299(x42791),x42793),f178(f910(x42791,a898)))),f317(f275(f904(x42791),f904(x42791),f148(x42791,x42792)),f317(f317(f299(f904(x42791)),x42794),f178(f910(f904(x42791),a898))))),f317(f275(f904(x42791),f904(x42791),f148(x42791,x42792)),f317(f317(f299(f904(x42791)),f317(f317(f141(x42791),x42793),x42794)),f178(f910(f904(x42791),a898)))))
% 192.07/191.92 [4343]E(f317(f252(x43431),f317(f317(f9(x43431,f910(x43432,a898),a898),f317(f317(f10(x43432,f910(f910(x43432,a898),a898),x43431),f319(x43432)),x43433)),x43434)),f317(f301(x43431,x43432,x43433),x43434))
% 192.07/191.92 [4433]E(f317(f252(x44331),f317(f317(f9(x44331,f910(f909(x44332,x44331),a898),a898),f317(f317(f10(f909(x44332,x44331),f910(f910(f909(x44332,x44331),a898),a898),x44331),f319(f909(x44332,x44331))),f317(f242(x44332,x44331),x44333))),x44334)),f317(f275(x44332,x44331,x44334),f317(f317(f299(x44332),x44333),f178(f910(x44332,a898)))))
% 192.07/191.92 [4447]E(f317(f317(f144(f909(x44471,a903),x44471),f241(x44471,a903)),f317(f126(f909(x44471,a903),f317(f317(f10(a903,a898,f909(x44471,a903)),x44472),f317(f317(f10(a903,a903,f909(x44471,a903)),a102),f246(x44471,a903)))),f317(f317(f171(x44471,a903),x44473),x44474))),f317(f317(f144(f909(x44471,a903),x44471),f241(x44471,a903)),f317(f126(f909(x44471,a903),f317(f317(f10(a903,a898,f909(x44471,a903)),x44472),f246(x44471,a903))),f317(f317(f171(x44471,a903),x44473),f317(f317(f144(a903,a903),a102),x44474)))))
% 192.07/191.92 [4456]P2(f317(f317(f226(f910(f910(x44561,a898),a898)),f317(f317(f36(x44562,f910(f910(x44561,a898),a898)),x44563),f317(f317(f10(f910(x44561,a898),f910(f910(x44561,a898),a898),x44562),f298(x44561)),x44564))),f317(f298(x44561),f317(f317(f36(x44562,f910(x44561,a898)),x44563),x44564))))
% 192.07/191.92 [4497]E(f317(f317(f80(a1,x44971),f317(f93(a1),f317(f317(f74(a1),x44972),a87))),f317(f317(f20(a1,x44971,x44971),f317(f317(f9(a1,x44971,f910(x44971,x44971)),f317(f317(f10(a898,f910(x44971,f910(x44971,x44971)),a1),f86(x44971)),a183)),x44973)),f317(f317(f20(a1,x44971,x44971),f317(f317(f10(a903,f910(x44971,x44971),a1),x44974),a94)),f317(f317(f10(a903,x44971,a1),f174(x44971,x44973,x44974)),a94)))),f317(f174(x44971,x44973,x44974),f317(f93(a903),x44972)))
% 192.07/191.92 [4521]E(f317(f252(f909(x45211,x45212)),f317(f247(x45211,x45212,a898),f317(f317(f9(x45211,f910(x45212,a898),f910(x45212,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x45212,a898),f910(x45212,a898)),x45211),f10(a898,a898,x45212)),f317(f317(f10(a898,f910(a898,a898),x45211),a315),f317(f317(f9(x45211,f910(x45211,a898),a898),f319(x45211)),x45213)))),f317(f317(f9(x45212,f910(x45212,a898),a898),f319(x45212)),x45214)))),f219(x45211,x45212,x45213,x45214))
% 192.07/191.92 [4557]E(f317(f317(f36(x45571,f910(f909(x45571,x45572),a898)),x45573),f317(f317(f20(x45571,f910(x45572,f910(f909(x45571,x45572),a898)),f910(f909(x45571,x45572),a898)),f317(f317(f10(f910(x45572,a898),f910(f910(x45572,f910(f909(x45571,x45572),a898)),f910(f909(x45571,x45572),a898)),x45571),f36(x45572,f910(f909(x45571,x45572),a898))),x45574)),f317(f317(f9(x45571,f910(f909(x45571,x45572),a898),f910(x45572,f910(f909(x45571,x45572),a898))),f317(f317(f10(f910(x45572,f910(f910(f909(x45571,x45572),a898),f910(f909(x45571,x45572),a898))),f910(f910(f909(x45571,x45572),a898),f910(x45572,f910(f909(x45571,x45572),a898))),x45571),f9(x45572,f910(f909(x45571,x45572),a898),f910(f909(x45571,x45572),a898))),f317(f317(f10(f910(x45572,f909(x45571,x45572)),f910(x45572,f910(f910(f909(x45571,x45572),a898),f910(f909(x45571,x45572),a898))),x45571),f317(f10(f909(x45571,x45572),f910(f910(f909(x45571,x45572),a898),f910(f909(x45571,x45572),a898)),x45572),f299(f909(x45571,x45572)))),f242(x45571,x45572)))),f178(f910(f909(x45571,x45572),a898))))),f317(f317(f244(x45571,x45572),x45573),x45574))
% 192.07/191.92 [4124]E(f317(f317(f124(x41241),f317(f317(f165(x41241),x41242),x41243)),f317(f317(f165(x41241),f317(f317(f3(a903),x41242),f317(f179(f904(x41241)),x41243))),x41244)),f317(f317(f165(x41241),x41242),f317(f317(f124(x41241),x41243),x41244)))
% 192.07/191.92 [4125]E(f317(f317(f124(x41251),f317(f317(f128(x41251),x41252),x41253)),f317(f317(f128(x41251),f317(f317(f3(a903),x41252),f317(f179(f904(x41251)),x41253))),x41254)),f317(f317(f128(x41251),x41252),f317(f317(f124(x41251),x41253),x41254)))
% 192.07/191.92 [4174]E(f317(f317(f74(a903),f317(f317(f75(a903),x41741),x41742)),f317(f317(f74(a903),f317(f317(f75(a903),x41743),x41742)),x41744)),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f74(a903),x41741),x41743)),x41742)),x41744))
% 192.07/191.92 [4319]E(f84(x43191,f317(f317(f9(x43191,x43192,a898),f317(f317(f10(x43192,f910(x43192,a898),x43191),a314),x43193)),x43194)),f317(f85(x43191,x43192,f232(f910(x43191,a898)),x43193),x43194))
% 192.07/191.92 [4367]P2(f317(f317(f226(f910(x43671,a898)),f317(f317(f3(f910(x43671,a898)),f317(f274(x43672,x43671),x43673)),f317(f274(x43672,x43671),x43674))),f317(f274(x43672,x43671),f317(f317(f3(f910(f909(x43672,x43671),a898)),x43673),x43674))))
% 192.07/191.92 [4368]P2(f317(f317(f226(f910(x43681,a898)),f317(f317(f3(f910(x43681,a898)),f317(f254(x43681,x43682),x43683)),f317(f254(x43681,x43682),x43684))),f317(f254(x43681,x43682),f317(f317(f3(f910(f909(x43681,x43682),a898)),x43683),x43684))))
% 192.07/191.92 [4476]E(f317(f317(f74(a1),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x44761),x44762)),f178(f910(f909(a903,a903),a898)))))),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x44763),x44764)),f178(f910(f909(a903,a903),a898)))))),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),f317(f317(f74(a903),x44761),x44763)),f317(f317(f74(a903),x44762),x44764))),f178(f910(f909(a903,a903),a898))))))
% 192.07/191.92 [4516]E(f317(f317(f75(a1),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x45161),x45162)),f178(f910(f909(a903,a903),a898)))))),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x45163),x45164)),f178(f910(f909(a903,a903),a898)))))),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),f317(f317(f74(a903),f317(f317(f75(a903),x45161),x45163)),f317(f317(f75(a903),x45162),x45164))),f317(f317(f74(a903),f317(f317(f75(a903),x45161),x45164)),f317(f317(f75(a903),x45162),x45163)))),f178(f910(f909(a903,a903),a898))))))
% 192.07/191.92 [4537]E(f317(f252(x45371),f317(f317(f10(f910(x45372,a898),a898,x45371),f82(x45372)),f317(f317(f10(f910(x45372,a898),f910(x45372,a898),x45371),f317(f20(x45372,a898,a898),f317(f317(f10(a898,f910(a898,a898),x45372),a320),f317(f317(f9(x45372,f910(x45372,a898),a898),f319(x45372)),x45373)))),f317(f317(f9(x45371,f910(x45372,f910(x45371,a898)),f910(x45372,a898)),f317(f317(f10(f910(f910(x45371,a898),a898),f910(f910(x45372,f910(x45371,a898)),f910(x45372,a898)),x45371),f10(f910(x45371,a898),a898,x45372)),f319(x45371))),x45374)))),f317(f317(f35(x45372,f910(x45371,a898)),x45373),x45374))
% 192.07/191.92 [4569]E(f317(f317(f279(x45691,x45691,x45691),f317(f317(f299(f909(x45691,x45691)),f317(f317(f242(x45691,x45691),x45692),x45693)),x45694)),f297(x45691,f317(f317(f299(f909(x45691,x45691)),f317(f317(f242(x45691,x45691),x45692),x45693)),x45694))),f317(f317(f100(f910(f909(x45691,x45691),a898)),f317(f317(f279(x45691,x45691,x45691),x45694),f297(x45691,x45694))),f317(f252(f909(x45691,x45691)),f317(f247(x45691,x45691,a898),f317(f317(f9(x45691,f910(x45691,a898),f910(x45691,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x45691,a898),f910(x45691,a898)),x45691),f10(a898,a898,x45691)),f317(f317(f10(a898,f910(a898,a898),x45691),a315),f317(f317(f9(x45691,f910(f909(x45691,x45691),a898),a898),f317(f317(f10(f909(x45691,x45691),f910(f910(f909(x45691,x45691),a898),a898),x45691),f319(f909(x45691,x45691))),f317(f317(f9(x45691,x45691,f909(x45691,x45691)),f242(x45691,x45691)),x45692))),f297(x45691,x45694))))),f317(f317(f9(x45691,f910(f909(x45691,x45691),a898),a898),f317(f317(f10(f909(x45691,x45691),f910(f910(f909(x45691,x45691),a898),a898),x45691),f319(f909(x45691,x45691))),f317(f242(x45691,x45691),x45693))),f297(x45691,x45694)))))))
% 192.07/191.92 [4369]E(f317(f126(x43691,f317(f317(f20(x43691,a898,a898),f317(f317(f10(a898,f910(a898,a898),x43691),a315),x43692)),x43693)),x43694),f317(f126(x43691,x43693),f317(f126(x43691,x43692),x43694)))
% 192.07/191.92 [4470]E(f317(f317(f124(x44701),f317(f317(f317(f86(f904(x44701)),f317(f317(f319(a903),f2(a903)),x44702)),f317(f317(f141(x44701),x44703),f103(x44701))),f103(x44701))),f166(x44701,x44704,f317(f252(a903),f317(f317(f9(a903,f910(a903,a898),a898),f317(f317(f10(a903,f910(f910(a903,a898),a898),a903),f319(a903)),a102)),x44702)))),f166(x44701,f317(f317(f141(x44701),x44703),x44704),x44702))
% 192.07/191.92 [4565]E(f317(f252(f909(x45651,x45652)),f317(f317(f10(f910(a903,a898),a898,f909(x45651,x45652)),f81(a903)),f317(f317(f9(f909(x45651,x45652),f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),f909(x45651,x45652)),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),f909(x45651,x45652)),f317(f10(a898,f910(a898,a898),a903),a315)),f317(f317(f9(f909(x45651,x45652),f910(a903,f909(x45651,x45652)),f910(a903,a898)),f317(f317(f10(f910(f909(x45651,x45652),a898),f910(f910(a903,f909(x45651,x45652)),f910(a903,a898)),f909(x45651,x45652)),f10(f909(x45651,x45652),a898,a903)),a314)),f317(f317(f20(a903,x45652,f909(x45651,x45652)),f317(f317(f10(x45651,f910(x45652,f909(x45651,x45652)),a903),f242(x45651,x45652)),f317(f154(x45651),x45653))),f317(f154(x45652),x45654)))))),f317(f317(f9(a903,a903,a898),f227(a903)),f317(f317(f224(a903),f317(f179(f904(x45651)),x45653)),f317(f179(f904(x45652)),x45654)))))),f317(f162(f909(x45651,x45652)),f317(f317(f171(x45651,x45652),x45653),x45654)))
% 192.07/191.92 [4489]E(f317(f252(f909(x44891,x44892)),f317(f247(x44891,x44892,a898),f317(f317(f9(x44891,f910(x44892,a898),f910(x44892,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x44892,a898),f910(x44892,a898)),x44891),f10(a898,a898,x44892)),f317(f317(f10(a898,f910(a898,a898),x44891),a315),x44893))),x44894))),f317(f317(f244(x44891,x44892),f317(f252(x44891),x44893)),f317(f18(f910(x44892,a898),x44891),f317(f252(x44892),x44894))))
% 192.07/191.92 [4492]E(f317(f252(f909(x44921,x44922)),f317(f247(x44921,x44922,a898),f317(f317(f20(x44921,f910(x44922,a898),f910(x44922,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x44922,a898),f910(x44922,a898)),x44921),f10(a898,a898,x44922)),f317(f317(f10(a898,f910(a898,a898),x44921),a315),x44923))),x44924))),f317(f317(f244(x44921,x44922),f317(f252(x44921),x44923)),f317(f317(f10(f910(x44922,a898),f910(x44922,a898),x44921),f252(x44922)),x44924)))
% 192.07/191.92 [4504]E(f317(f252(x45041),f317(f317(f10(f910(x45042,a898),a898,x45041),f82(x45042)),f317(f317(f10(f910(x45042,a898),f910(x45042,a898),x45041),f317(f20(x45042,a898,a898),f317(f317(f10(a898,f910(a898,a898),x45042),a320),f317(f317(f9(x45042,f910(x45042,a898),a898),f319(x45042)),x45043)))),x45044))),f317(f317(f35(x45042,f910(x45041,a898)),x45043),f317(f317(f10(f910(x45041,a898),f910(x45041,a898),x45042),f252(x45041)),f317(f9(x45041,x45042,a898),x45044))))
% 192.07/191.92 [4549]E(f317(f317(f144(f909(x45491,a903),x45491),f241(x45491,a903)),f317(f126(f909(x45491,a903),f317(f317(f9(f909(x45491,a903),f910(a903,a898),a898),f317(f317(f10(a903,f910(f910(a903,a898),a898),f909(x45491,a903)),f319(a903)),f246(x45491,a903))),x45492)),f317(f317(f171(x45491,a903),x45493),f129(a903,f317(f292(a903,x45494),f317(f317(f74(a903),x45494),f317(f179(f904(x45491)),x45493))))))),f317(f317(f144(f909(x45491,a903),x45491),f241(x45491,a903)),f317(f126(f909(x45491,a903),f317(f317(f9(f909(x45491,a903),f910(a903,a898),a898),f317(f317(f10(a903,f910(f910(a903,a898),a898),f909(x45491,a903)),f319(a903)),f317(f317(f9(f909(x45491,a903),a903,a903),f317(f317(f10(a903,f910(a903,a903),f909(x45491,a903)),f74(a903)),f246(x45491,a903))),x45494))),x45492)),f317(f317(f171(x45491,a903),x45493),f129(a903,f317(f292(a903,f2(a903)),f317(f179(f904(x45491)),x45493)))))))
% 192.07/191.92 [4550]E(f317(a102,f317(f317(f225(a903),f317(f179(f904(x45501)),x45502)),f317(f132(a903,f904(x45503),f317(f9(f904(x45503),a903,a903),f317(f317(f10(a903,f910(a903,a903),f904(x45503)),f225(a903)),f317(f317(f9(f904(x45503),a903,a903),f317(f317(f10(a903,f910(a903,a903),f904(x45503)),f3(a903)),f179(f904(x45503)))),f317(a102,f2(a903))))),f2(a903)),f317(f158(f904(x45503)),f317(f126(f904(x45503),f317(f317(f10(a898,a898,f904(x45503)),a312),f317(f317(f9(f904(x45503),f904(x45503),a898),a314),f103(x45503)))),x45504))))),f317(f317(f225(a903),f317(a102,f317(f179(f904(x45501)),x45502))),f317(f132(a903,f904(x45503),f317(f9(f904(x45503),a903,a903),f317(f317(f10(a903,f910(a903,a903),f904(x45503)),f225(a903)),f179(f904(x45503)))),f2(a903)),f317(f158(f904(x45503)),x45504))))
% 192.07/191.92 [4503]E(f317(f317(f124(x45031),f166(x45031,x45032,x45033)),f166(x45031,x45034,f317(f252(a903),f317(f317(f9(a903,f910(a903,a898),a898),f317(f317(f10(a903,f910(f910(a903,a898),a898),a903),f319(a903)),f317(f317(f9(a903,a903,a903),f74(a903)),f317(f179(f904(x45031)),x45032)))),x45033)))),f166(x45031,f317(f317(f124(x45031),x45032),x45034),x45033))
% 192.07/191.92 [4551]E(f33(f910(x45511,a898),f317(f252(f910(x45511,a898)),f317(f317(f10(f910(x45512,a898),a898,f910(x45511,a898)),f81(x45512)),f317(f317(f10(f910(x45512,a898),f910(x45512,a898),f910(x45511,a898)),f317(f20(x45512,a898,a898),f317(f317(f10(a898,f910(a898,a898),x45512),a315),f317(f317(f9(x45512,f910(x45512,a898),a898),f319(x45512)),x45513)))),f317(f317(f9(f910(x45511,a898),f910(x45512,f910(x45511,a898)),f910(x45512,a898)),f317(f317(f10(f910(f910(x45511,a898),a898),f910(f910(x45512,f910(x45511,a898)),f910(x45512,a898)),f910(x45511,a898)),f10(f910(x45511,a898),a898,x45512)),a314)),x45514))))),f317(f317(f35(x45512,f910(x45511,a898)),x45513),x45514))
% 192.07/191.92 [4552]E(f32(f910(x45521,a898),f317(f252(f910(x45521,a898)),f317(f317(f10(f910(x45522,a898),a898,f910(x45521,a898)),f81(x45522)),f317(f317(f10(f910(x45522,a898),f910(x45522,a898),f910(x45521,a898)),f317(f20(x45522,a898,a898),f317(f317(f10(a898,f910(a898,a898),x45522),a315),f317(f317(f9(x45522,f910(x45522,a898),a898),f319(x45522)),x45523)))),f317(f317(f9(f910(x45521,a898),f910(x45522,f910(x45521,a898)),f910(x45522,a898)),f317(f317(f10(f910(f910(x45521,a898),a898),f910(f910(x45522,f910(x45521,a898)),f910(x45522,a898)),f910(x45521,a898)),f10(f910(x45521,a898),a898,x45522)),a314)),x45524))))),f317(f317(f36(x45522,f910(x45521,a898)),x45523),x45524))
% 192.07/191.92 [4559]E(f317(f317(f141(f904(x45591)),f317(f317(f141(x45591),x45592),f317(f132(f904(x45591),f904(x45591),f124(x45591),f103(x45591)),f317(f317(f144(f904(x45591),f904(x45591)),f146(f904(x45591),x45591,f103(x45591),f317(f317(f10(f904(x45591),f910(f904(x45591),f904(x45591)),x45591),f18(f904(x45591),f904(x45591))),f317(f317(f9(x45591,f904(x45591),f904(x45591)),f141(x45591)),f103(x45591))))),x45593)))),f169(x45591,f317(f317(f141(f904(x45591)),x45594),f317(f132(f904(f904(x45591)),f904(f904(x45591)),f124(f904(x45591)),f103(f904(x45591))),f317(f317(f144(f904(x45591),f904(f904(x45591))),f146(f904(f904(x45591)),x45591,f103(f904(x45591)),f317(f18(f910(f904(x45591),f904(f904(x45591))),x45591),f317(f317(f9(f904(x45591),f904(f904(x45591)),f904(f904(x45591))),f141(f904(x45591))),f103(f904(x45591)))))),x45593))))),f169(x45591,f317(f317(f141(f904(x45591)),f317(f317(f141(x45591),x45592),x45594)),x45593)))
% 192.07/191.92 [4566]E(f317(f252(f909(x45661,x45661)),f317(f247(x45661,x45661,a898),f317(f317(f9(x45661,f910(f909(x45662,x45662),a898),f910(x45661,a898)),f317(f317(f10(f910(x45661,f910(f910(f909(x45662,x45662),a898),a898)),f910(f910(f909(x45662,x45662),a898),f910(x45661,a898)),x45661),f9(x45661,f910(f909(x45662,x45662),a898),a898)),f317(f317(f10(f910(x45661,f909(x45662,x45662)),f910(x45661,f910(f910(f909(x45662,x45662),a898),a898)),x45661),f317(f10(f909(x45662,x45662),f910(f910(f909(x45662,x45662),a898),a898),x45661),f319(f909(x45662,x45662)))),f317(f317(f9(x45661,f910(x45661,x45662),f910(x45661,f909(x45662,x45662))),f317(f317(f10(f910(x45662,f909(x45662,x45662)),f910(f910(x45661,x45662),f910(x45661,f909(x45662,x45662))),x45661),f10(x45662,f909(x45662,x45662),x45661)),f317(f317(f10(x45662,f910(x45662,f909(x45662,x45662)),x45661),f242(x45662,x45662)),x45663))),x45663)))),x45664))),f317(f317(f278(x45662,x45661),x45664),x45663))
% 192.07/191.92 [3708]E(f317(f317(f144(x37081,x37082),x37083),f159(x37081,x37084,x37085)),f159(x37082,x37084,f317(x37083,x37085)))
% 192.07/191.92 [4038]E(f120(x40381,x40382,x40383,f116(x40381,x40384,x40385)),f116(x40382,f317(x40383,x40384),f120(x40381,x40382,x40383,x40385)))
% 192.07/191.92 [4268]E(f317(f69(x42681,x42682,x42683,x42684,x42685),x42684),x42685)
% 192.07/191.92 [4320]E(f243(x43201,x43202,x43203,f233(x43202,x43201,x43204),f233(x43203,x43202,x43205)),f233(x43203,x43201,f243(x43203,x43202,x43201,x43205,x43204)))
% 192.07/191.92 [3899]E(f317(f317(f247(x38991,x38992,x38993),x38994),x38995),f317(f317(x38994,f317(f241(x38991,x38992),x38995)),f317(f246(x38991,x38992),x38995)))
% 192.07/191.92 [3933]E(f317(f317(f317(f60(x39331,x39332,x39333),x39334),x39335),f178(f910(x39332,a898))),x39335)
% 192.07/191.92 [4208]E(f317(f67(f904(x42081),f904(x42082),f904(x42083),f317(f144(x42081,x42082),x42084)),f317(f144(x42083,x42081),x42085)),f317(f144(x42083,x42082),f317(f67(x42081,x42082,x42083,x42084),x42085)))
% 192.07/191.92 [4282]E(f79(x42821,f61(x42822,x42821,x42823,x42824,x42825)),f317(f317(f59(x42822,x42821,x42823),x42824),x42825))
% 192.07/191.92 [4316]E(f317(f317(f74(a903),f317(f317(f74(a903),f317(x43161,f317(f241(x43162,x43163),x43164))),f317(x43165,f317(f246(x43162,x43163),x43164)))),f317(a102,f2(a903))),f251(x43162,x43163,x43161,x43165,x43164))
% 192.07/191.92 [3836]E(f317(f317(f165(x38361),x38362),f317(f317(f144(x38363,x38361),x38364),x38365)),f317(f317(f144(x38363,x38361),x38364),f317(f317(f165(x38363),x38362),x38365)))
% 192.07/191.92 [3837]E(f317(f317(f128(x38371),x38372),f317(f317(f144(x38373,x38371),x38374),x38375)),f317(f317(f144(x38373,x38371),x38374),f317(f317(f128(x38373),x38372),x38375)))
% 192.07/191.92 [3868]E(f317(f317(f144(x38681,x38682),x38683),f317(f317(f141(x38681),x38684),x38685)),f317(f317(f141(x38682),f317(x38683,x38684)),f317(f317(f144(x38681,x38682),x38683),x38685)))
% 192.07/191.92 [3929]E(f317(f300(x39291,x39292,x39293),f317(f317(f299(x39291),x39294),x39295)),f317(f317(f299(x39292),f317(x39293,x39294)),f317(f300(x39291,x39292,x39293),x39295)))
% 192.07/191.92 [3957]E(f163(x39571,f317(f317(f141(x39571),x39572),x39573),f317(f317(f141(x39571),x39574),x39575)),f317(f317(f141(x39571),x39572),f317(f317(f141(x39571),x39574),f163(x39571,x39573,x39575))))
% 192.07/191.92 [3993]E(f317(f317(f171(x39931,x39932),f317(f317(f165(x39931),x39933),x39934)),f317(f317(f165(x39932),x39933),x39935)),f317(f317(f165(f909(x39931,x39932)),x39933),f317(f317(f171(x39931,x39932),x39934),x39935)))
% 192.07/191.92 [3994]E(f317(f317(f171(x39941,x39942),f317(f317(f128(x39941),x39943),x39944)),f317(f317(f128(x39942),x39943),x39945)),f317(f317(f128(f909(x39941,x39942)),x39943),f317(f317(f171(x39941,x39942),x39944),x39945)))
% 192.07/191.92 [4003]E(f317(f317(f149(x40031,f317(f317(f141(x40031),x40032),x40033)),f317(a102,x40034)),x40035),f317(f317(f141(x40031),x40032),f317(f317(f149(x40031,x40033),x40034),x40035)))
% 192.07/191.92 [4006]E(f317(f317(f124(x40061),f317(f317(f144(x40062,x40061),x40063),x40064)),f317(f317(f144(x40062,x40061),x40063),x40065)),f317(f317(f144(x40062,x40061),x40063),f317(f317(f124(x40062),x40064),x40065)))
% 192.07/191.92 [4010]E(f317(f317(x40101,x40102),f317(f317(f235(x40103,x40104,x40101),x40102),x40105)),f317(f317(f235(x40103,x40104,x40101),x40102),f317(a102,x40105)))
% 192.07/191.92 [4042]E(f153(x40421,x40422,x40423,f317(f317(f141(x40421),x40424),x40425)),f317(f317(f124(x40422),f317(x40423,x40424)),f153(x40421,x40422,x40423,x40425)))
% 192.07/191.92 [4054]E(f317(f317(f279(x40541,x40542,x40543),f317(f276(x40542,x40541),x40544)),f317(f276(x40543,x40542),x40545)),f317(f276(x40543,x40541),f317(f317(f279(x40543,x40542,x40541),x40545),x40544)))
% 192.07/191.92 [4086]E(f317(f317(f317(f173(f904(x40861),f904(x40861)),x40862),f157(x40861)),f317(f317(f144(x40863,x40861),x40864),x40865)),f317(f317(f144(x40863,x40861),x40864),f317(f317(f317(f173(f904(x40863),f904(x40863)),x40862),f157(x40863)),x40865)))
% 192.07/191.92 [4087]E(f317(f317(f249(x40871,x40872,x40871,x40873),f317(f242(x40872,x40871),x40874)),x40875),f317(x40875,x40874))
% 192.07/191.92 [4110]E(f145(x41101,x41102,f317(f317(f144(x41103,x41101),x41104),x41105)),f145(x41103,f317(f67(x41101,a903,x41103,x41102),x41104),x41105))
% 192.07/191.92 [4173]E(f167(f909(x41731,x41732),f317(f67(x41732,a898,f909(x41731,x41732),x41733),f246(x41731,x41732)),f317(f317(f171(x41731,x41732),x41734),x41735)),f317(f317(f171(x41731,x41732),x41734),f167(x41732,x41733,x41735)))
% 192.07/191.92 [4178]E(f317(f300(x41781,x41782,f317(f317(f10(x41783,x41782,x41781),x41784),x41785)),f232(f910(x41781,a898))),f317(f300(x41783,x41782,x41784),f317(f300(x41781,x41783,x41785),f232(f910(x41781,a898)))))
% 192.07/191.92 [4191]E(f167(f909(x41911,x41912),f317(f67(x41911,a898,f909(x41911,x41912),x41913),f241(x41911,x41912)),f317(f317(f171(x41911,x41912),x41914),x41915)),f317(f317(f171(x41911,x41912),f167(x41911,x41913,x41914)),x41915))
% 192.07/191.92 [4212]E(f317(f317(f100(f910(x42121,a898)),f317(f301(x42121,x42122,x42123),f317(f317(f299(x42122),x42124),f178(f910(x42122,a898))))),f317(f301(x42121,x42122,x42123),x42125)),f317(f301(x42121,x42122,x42123),f317(f317(f299(x42122),x42124),x42125)))
% 192.07/191.92 [4267]E(f317(f317(f124(f909(x42671,x42672)),f317(f317(f144(x42672,f909(x42671,x42672)),f317(f242(x42671,x42672),x42673)),x42674)),f55(x42671,x42672,x42675,x42674)),f55(x42671,x42672,f317(f317(f141(x42671),x42673),x42675),x42674))
% 192.07/191.92 [4269]E(f317(f317(f144(x42691,x42692),x42693),f167(x42691,f317(f67(x42692,a898,x42691,x42694),x42693),x42695)),f167(x42692,x42694,f317(f317(f144(x42691,x42692),x42693),x42695)))
% 192.07/191.92 [4274]E(f317(f132(x42741,x42742,f317(f9(x42742,x42741,x42741),f317(f9(x42741,x42742,x42741),x42743)),x42744),f317(f158(x42742),f317(f158(x42742),x42745))),f317(f132(x42741,x42742,x42743,x42744),x42745))
% 192.07/191.92 [4377]P2(f317(f317(f226(f910(x43771,a898)),f317(f300(x43772,x43771,x43773),f317(f317(f91(f910(x43772,a898)),x43774),x43775))),f317(f317(f91(f910(x43771,a898)),f317(f300(x43772,x43771,x43773),x43774)),f317(f300(x43772,x43771,x43773),x43775))))
% 192.07/191.92 [4378]P2(f317(f317(f226(f910(x43781,a898)),f317(f275(x43782,x43781,x43783),f317(f317(f91(f910(x43782,a898)),x43784),x43785))),f317(f317(f91(f910(x43781,a898)),f317(f275(x43782,x43781,x43783),x43784)),f317(f275(x43782,x43781,x43783),x43785))))
% 192.07/191.92 [4477]E(f317(f246(x44771,x44772),f317(f248(x44773,x44771,x44772,x44772,x44774,f25(x44772)),x44775)),f317(f246(x44773,x44772),x44775))
% 192.07/191.92 [4478]E(f317(f241(x44781,x44782),f317(f248(x44781,x44781,x44783,x44782,f25(x44781),x44784),x44785)),f317(f241(x44781,x44783),x44785))
% 192.07/191.92 [3680]E(f317(f317(f317(f317(f194(x36801),x36802),x36803),x36804),x36805),f182(x36801,x36802))
% 192.07/191.92 [3681]E(f317(f317(f317(f317(f198(x36811),x36812),x36813),x36814),x36815),f189(x36811,x36812))
% 192.07/191.92 [4043]E(f317(f317(f35(x40431,f910(x40432,a898)),f317(f317(f299(x40431),x40433),x40434)),x40435),f317(f317(f91(f910(x40432,a898)),f317(x40435,x40433)),f317(f317(f35(x40431,f910(x40432,a898)),x40434),x40435)))
% 192.07/191.92 [4044]E(f317(f317(f36(x40441,f910(x40442,a898)),f317(f317(f299(x40441),x40443),x40444)),x40445),f317(f317(f100(f910(x40442,a898)),f317(x40445,x40443)),f317(f317(f36(x40441,f910(x40442,a898)),x40444),x40445)))
% 192.07/191.92 [4094]E(f317(f108(x40941,x40942,f317(x40943,x40944)),f317(f317(f9(x40941,a89,f905(x40942)),x40945),x40944)),f317(f187(x40941,x40942,x40943,x40945),x40944))
% 192.07/191.92 [4104]E(f317(f317(f100(f910(x41041,a898)),f317(f300(x41042,x41041,x41043),x41044)),f317(f300(x41042,x41041,x41043),x41045)),f317(f300(x41042,x41041,x41043),f317(f317(f100(f910(x41042,a898)),x41044),x41045)))
% 192.07/191.92 [4105]E(f317(f317(f100(f910(x41051,a898)),f317(f275(x41052,x41051,x41053),x41054)),f317(f275(x41052,x41051,x41053),x41055)),f317(f275(x41052,x41051,x41053),f317(f317(f100(f910(x41052,a898)),x41054),x41055)))
% 192.07/191.92 [4106]E(f317(f317(f3(f910(x41061,a898)),f317(f301(x41061,x41062,x41063),x41064)),f317(f301(x41061,x41062,x41063),x41065)),f317(f301(x41061,x41062,x41063),f317(f317(f3(f910(x41062,a898)),x41064),x41065)))
% 192.07/191.92 [4107]E(f317(f317(f100(f910(x41071,a898)),f317(f301(x41071,x41072,x41073),x41074)),f317(f301(x41071,x41072,x41073),x41075)),f317(f301(x41071,x41072,x41073),f317(f317(f100(f910(x41072,a898)),x41074),x41075)))
% 192.07/191.92 [4108]E(f317(f317(f91(f910(x41081,a898)),f317(f301(x41081,x41082,x41083),x41084)),f317(f301(x41081,x41082,x41083),x41085)),f317(f301(x41081,x41082,x41083),f317(f317(f91(f910(x41082,a898)),x41084),x41085)))
% 192.07/191.92 [4169]E(f317(f317(f149(x41691,f317(f317(f124(x41691),x41692),f317(f317(f141(x41691),x41693),x41694))),f317(f179(f904(x41691)),x41692)),x41695),f317(f317(f124(x41691),x41692),f317(f317(f141(x41691),x41695),x41694)))
% 192.07/191.92 [4176]E(f317(f317(f35(x41761,f910(x41762,a898)),x41763),f317(f317(f10(f910(x41762,a898),f910(x41762,a898),x41761),f317(f299(x41762),x41764)),x41765)),f317(f317(f299(x41762),x41764),f317(f317(f35(x41761,f910(x41762,a898)),x41763),x41765)))
% 192.07/191.92 [4329]E(f317(f317(f144(x43291,x43292),x43293),f317(f126(x43291,f317(f67(x43292,a898,x43291,x43294),x43293)),x43295)),f317(f126(x43292,x43294),f317(f317(f144(x43291,x43292),x43293),x43295)))
% 192.07/191.92 [4335]E(f317(f179(f904(x43351)),f317(f126(x43351,x43352),f317(f317(f144(x43353,x43351),x43354),x43355))),f317(f179(f904(x43353)),f317(f126(x43353,f317(f67(x43351,a898,x43353,x43352),x43354)),x43355)))
% 192.07/191.92 [4542]E(f317(f146(f904(f909(x45421,x45422)),x45422,f103(f909(x45421,x45422)),f317(f317(f9(x45422,f910(f904(x45422),f904(f909(x45421,x45422))),f910(f904(x45422),f904(f909(x45421,x45422)))),f317(f317(f10(f910(f904(f909(x45421,x45422)),f904(f909(x45421,x45422))),f910(f910(f904(x45422),f904(f909(x45421,x45422))),f910(f904(x45422),f904(f909(x45421,x45422)))),x45422),f10(f904(f909(x45421,x45422)),f904(f909(x45421,x45422)),f904(x45422))),f317(f317(f10(f909(x45421,x45422),f910(f904(f909(x45421,x45422)),f904(f909(x45421,x45422))),x45422),f141(f909(x45421,x45422))),f317(f242(x45421,x45422),x45423)))),f317(f171(x45421,x45422),x45424))),x45425),f317(f317(f171(x45421,x45422),f317(f317(f141(x45421),x45423),x45424)),x45425))
% 192.07/191.92 [4035]E(f317(f317(f149(x40351,f317(f317(f149(x40351,x40352),x40353),x40354)),x40353),x40355),f317(f317(f149(x40351,x40352),x40353),x40355))
% 192.07/191.92 [4088]E(f317(f274(x40881,x40882),f317(f317(f299(f909(x40881,x40882)),f317(f317(f242(x40881,x40882),x40883),x40884)),x40885)),f317(f317(f299(x40882),x40884),f317(f274(x40881,x40882),x40885)))
% 192.07/191.92 [4089]E(f317(f254(x40891,x40892),f317(f317(f299(f909(x40891,x40892)),f317(f317(f242(x40891,x40892),x40893),x40894)),x40895)),f317(f317(f299(x40891),x40893),f317(f254(x40891,x40892),x40895)))
% 192.07/191.92 [4134]E(f112(x41341,x41342,f317(x41343,x41344),f317(f317(f9(x41341,a89,f905(f906(x41342))),x41345),x41344)),f317(f185(x41341,x41342,x41343,x41345),x41344))
% 192.07/191.92 [4162]E(f317(f317(f3(f910(f909(x41621,x41622),a898)),f317(f317(f244(x41621,x41622),x41623),x41624)),f317(f317(f244(x41621,x41622),x41625),x41624)),f317(f317(f244(x41621,x41622),f317(f317(f3(f910(x41621,a898)),x41623),x41625)),x41624))
% 192.07/191.92 [4163]E(f317(f317(f100(f910(f909(x41631,x41632),a898)),f317(f317(f244(x41631,x41632),x41633),x41634)),f317(f317(f244(x41631,x41632),x41635),x41634)),f317(f317(f244(x41631,x41632),f317(f317(f100(f910(x41631,a898)),x41633),x41635)),x41634))
% 192.07/191.92 [4164]E(f317(f317(f91(f910(f909(x41641,x41642),a898)),f317(f317(f244(x41641,x41642),x41643),x41644)),f317(f317(f244(x41641,x41642),x41645),x41644)),f317(f317(f244(x41641,x41642),f317(f317(f91(f910(x41641,a898)),x41643),x41645)),x41644))
% 192.07/191.92 [4223]E(f317(f317(f91(f910(x42231,a898)),f317(f317(f35(x42232,f910(x42231,a898)),x42233),x42234)),f317(f317(f35(x42232,f910(x42231,a898)),x42235),x42234)),f317(f317(f35(x42232,f910(x42231,a898)),f317(f317(f100(f910(x42232,a898)),x42233),x42235)),x42234))
% 192.07/191.92 [4224]E(f317(f317(f100(f910(x42241,a898)),f317(f317(f36(x42242,f910(x42241,a898)),x42243),x42244)),f317(f317(f36(x42242,f910(x42241,a898)),x42245),x42244)),f317(f317(f36(x42242,f910(x42241,a898)),f317(f317(f100(f910(x42242,a898)),x42243),x42245)),x42244))
% 192.07/191.92 [4238]E(f317(f317(f35(x42381,f910(x42382,a898)),x42383),f317(f317(f10(f910(x42382,a898),f910(x42382,a898),x42381),f317(f100(f910(x42382,a898)),x42384)),x42385)),f317(f317(f100(f910(x42382,a898)),x42384),f317(f317(f35(x42381,f910(x42382,a898)),x42383),x42385)))
% 192.07/191.92 [4239]E(f317(f317(f36(x42391,f910(x42392,a898)),x42393),f317(f317(f10(f910(x42392,a898),f910(x42392,a898),x42391),f317(f3(f910(x42392,a898)),x42394)),x42395)),f317(f317(f3(f910(x42392,a898)),x42394),f317(f317(f35(x42391,f910(x42392,a898)),x42393),x42395)))
% 192.07/191.92 [4240]E(f317(f317(f36(x42401,f910(x42402,a898)),x42403),f317(f317(f10(f910(x42402,a898),f910(x42402,a898),x42401),f317(f91(f910(x42402,a898)),x42404)),x42405)),f317(f317(f91(f910(x42402,a898)),x42404),f317(f317(f36(x42401,f910(x42402,a898)),x42403),x42405)))
% 192.07/191.92 [4294]E(f175(f904(x42941),f317(f317(f141(x42941),x42942),x42943),f317(f317(f10(f904(x42941),f904(x42941),a903),f317(f141(x42941),x42944)),f317(f317(f9(a903,x42941,f904(x42941)),f149(x42941,x42943)),x42942)),x42945),f317(f317(f149(x42941,f317(f317(f141(x42941),x42944),x42943)),x42945),x42942))
% 192.07/191.92 [4298]E(f317(f317(f35(x42981,f910(f909(x42982,x42983),a898)),x42984),f317(f317(f10(f910(f909(x42983,x42982),a898),f910(f909(x42982,x42983),a898),x42981),f276(x42983,x42982)),x42985)),f317(f276(x42983,x42982),f317(f317(f35(x42981,f910(f909(x42983,x42982),a898)),x42984),x42985)))
% 192.07/191.92 [4299]E(f317(f317(f36(x42991,f910(f909(x42992,x42993),a898)),x42994),f317(f317(f10(f910(f909(x42993,x42992),a898),f910(f909(x42992,x42993),a898),x42991),f276(x42993,x42992)),x42995)),f317(f276(x42993,x42992),f317(f317(f36(x42991,f910(f909(x42993,x42992),a898)),x42994),x42995)))
% 192.07/191.92 [4400]P2(f317(f317(f226(f910(x44001,a898)),f317(f317(f3(f910(x44001,a898)),f317(f300(x44002,x44001,x44003),x44004)),f317(f300(x44002,x44001,x44003),x44005))),f317(f300(x44002,x44001,x44003),f317(f317(f3(f910(x44002,a898)),x44004),x44005))))
% 192.07/191.92 [4545]E(f317(f146(f904(f909(x45451,x45452)),x45451,f103(f909(x45451,x45452)),f317(f317(f9(x45451,f910(f904(x45451),f904(f909(x45451,x45452))),f910(f904(x45451),f904(f909(x45451,x45452)))),f317(f317(f10(f910(f904(f909(x45451,x45452)),f904(f909(x45451,x45452))),f910(f910(f904(x45451),f904(f909(x45451,x45452))),f910(f904(x45451),f904(f909(x45451,x45452)))),x45451),f10(f904(f909(x45451,x45452)),f904(f909(x45451,x45452)),f904(x45451))),f317(f317(f10(f909(x45451,x45452),f910(f904(f909(x45451,x45452)),f904(f909(x45451,x45452))),x45451),f141(f909(x45451,x45452))),f317(f317(f9(x45451,x45452,f909(x45451,x45452)),f242(x45451,x45452)),x45453)))),f317(f317(f9(f904(x45451),f904(x45452),f904(f909(x45451,x45452))),f171(x45451,x45452)),x45454))),x45455),f317(f317(f171(x45451,x45452),x45455),f317(f317(f141(x45452),x45453),x45454)))
% 192.07/191.92 [4263]E(f317(f317(f100(f910(x42631,a898)),f317(f275(x42632,x42631,x42633),x42634)),f317(f275(x42632,x42631,x42635),x42634)),f317(f275(x42632,x42631,f317(f317(f100(f910(f909(x42632,x42631),a898)),x42633),x42635)),x42634))
% 192.07/191.92 [4300]E(f317(f317(f124(f909(x43001,x43002)),f317(f317(f171(x43001,x43002),x43003),f317(f317(f165(x43002),f317(f179(f904(x43001)),x43003)),x43004))),f317(f317(f171(x43001,x43002),x43005),f317(f317(f128(x43002),f317(f179(f904(x43001)),x43003)),x43004))),f317(f317(f171(x43001,x43002),f317(f317(f124(x43001),x43003),x43005)),x43004))
% 192.07/191.92 [4403]E(f317(f317(f244(x44031,x44032),x44033),f317(f317(f20(x44031,f910(x44032,a898),f910(x44032,a898)),f317(f317(f10(f910(x44032,a898),f910(f910(x44032,a898),f910(x44032,a898)),x44031),f3(f910(x44032,a898))),x44034)),x44035)),f317(f317(f3(f910(f909(x44031,x44032),a898)),f317(f317(f244(x44031,x44032),x44033),x44034)),f317(f317(f244(x44031,x44032),x44033),x44035)))
% 192.07/191.92 [4404]E(f317(f317(f244(x44041,x44042),x44043),f317(f317(f20(x44041,f910(x44042,a898),f910(x44042,a898)),f317(f317(f10(f910(x44042,a898),f910(f910(x44042,a898),f910(x44042,a898)),x44041),f100(f910(x44042,a898))),x44044)),x44045)),f317(f317(f100(f910(f909(x44041,x44042),a898)),f317(f317(f244(x44041,x44042),x44043),x44044)),f317(f317(f244(x44041,x44042),x44043),x44045)))
% 192.07/191.92 [4405]E(f317(f317(f244(x44051,x44052),x44053),f317(f317(f20(x44051,f910(x44052,a898),f910(x44052,a898)),f317(f317(f10(f910(x44052,a898),f910(f910(x44052,a898),f910(x44052,a898)),x44051),f91(f910(x44052,a898))),x44054)),x44055)),f317(f317(f91(f910(f909(x44051,x44052),a898)),f317(f317(f244(x44051,x44052),x44053),x44054)),f317(f317(f244(x44051,x44052),x44053),x44055)))
% 192.07/191.92 [4409]E(f317(f317(f35(x44091,f910(x44092,a898)),x44093),f317(f317(f9(x44091,f910(x44092,a898),f910(x44092,a898)),f317(f317(f10(f910(x44092,a898),f910(f910(x44092,a898),f910(x44092,a898)),x44091),f100(f910(x44092,a898))),x44094)),x44095)),f317(f317(f100(f910(x44092,a898)),f317(f317(f35(x44091,f910(x44092,a898)),x44093),x44094)),x44095))
% 192.07/191.92 [4410]E(f317(f317(f36(x44101,f910(x44102,a898)),x44103),f317(f317(f9(x44101,f910(x44102,a898),f910(x44102,a898)),f317(f317(f10(f910(x44102,a898),f910(f910(x44102,a898),f910(x44102,a898)),x44101),f3(f910(x44102,a898))),x44104)),x44105)),f317(f317(f3(f910(x44102,a898)),f317(f317(f36(x44101,f910(x44102,a898)),x44103),x44104)),x44105))
% 192.07/191.92 [4411]E(f317(f317(f36(x44111,f910(x44112,a898)),x44113),f317(f317(f9(x44111,f910(x44112,a898),f910(x44112,a898)),f317(f317(f10(f910(x44112,a898),f910(f910(x44112,a898),f910(x44112,a898)),x44111),f91(f910(x44112,a898))),x44114)),x44115)),f317(f317(f91(f910(x44112,a898)),f317(f317(f36(x44111,f910(x44112,a898)),x44113),x44114)),x44115))
% 192.07/191.92 [4415]E(f317(f317(f35(x44151,f910(x44152,a898)),x44153),f317(f317(f20(x44151,f910(x44152,a898),f910(x44152,a898)),f317(f317(f10(f910(x44152,a898),f910(f910(x44152,a898),f910(x44152,a898)),x44151),f91(f910(x44152,a898))),x44154)),x44155)),f317(f317(f91(f910(x44152,a898)),f317(f317(f35(x44151,f910(x44152,a898)),x44153),x44154)),f317(f317(f35(x44151,f910(x44152,a898)),x44153),x44155)))
% 192.07/191.92 [4416]E(f317(f317(f36(x44161,f910(x44162,a898)),x44163),f317(f317(f20(x44161,f910(x44162,a898),f910(x44162,a898)),f317(f317(f10(f910(x44162,a898),f910(f910(x44162,a898),f910(x44162,a898)),x44161),f100(f910(x44162,a898))),x44164)),x44165)),f317(f317(f100(f910(x44162,a898)),f317(f317(f36(x44161,f910(x44162,a898)),x44163),x44164)),f317(f317(f36(x44161,f910(x44162,a898)),x44163),x44165)))
% 192.07/191.92 [4429]E(f317(f317(f35(x44291,f910(x44292,a898)),x44293),f317(f317(f20(x44291,f910(x44292,a898),f910(x44292,a898)),f317(f317(f10(f910(x44292,a898),f910(f910(x44292,a898),f910(x44292,a898)),x44291),f91(f910(x44292,a898))),x44294)),x44295)),f317(f317(f91(f910(x44292,a898)),f33(f910(x44292,a898),f317(f300(x44291,f910(x44292,a898),x44294),x44293))),f33(f910(x44292,a898),f317(f300(x44291,f910(x44292,a898),x44295),x44293))))
% 192.07/191.92 [4430]E(f317(f317(f36(x44301,f910(x44302,a898)),x44303),f317(f317(f20(x44301,f910(x44302,a898),f910(x44302,a898)),f317(f317(f10(f910(x44302,a898),f910(f910(x44302,a898),f910(x44302,a898)),x44301),f100(f910(x44302,a898))),x44304)),x44305)),f317(f317(f100(f910(x44302,a898)),f32(f910(x44302,a898),f317(f300(x44301,f910(x44302,a898),x44304),x44303))),f32(f910(x44302,a898),f317(f300(x44301,f910(x44302,a898),x44305),x44303))))
% 192.07/191.92 [4466]E(f317(f317(f128(x44661),f317(f179(f904(x44661)),f167(x44661,x44662,f317(f317(f144(x44663,x44661),x44664),x44665)))),f317(f317(f144(x44663,x44661),x44664),x44665)),f317(f317(f144(x44663,x44661),x44664),f317(f317(f128(x44663),f317(f179(f904(x44663)),f167(x44663,f317(f67(x44661,a898,x44663,x44662),x44664),x44665))),x44665)))
% 192.07/191.92 [4342]E(f317(f317(f124(f909(x43421,x43422)),f317(f317(f171(x43421,x43422),f317(f317(f165(x43421),f317(f179(f904(x43422)),x43423)),x43424)),x43423)),f317(f317(f171(x43421,x43422),f317(f317(f128(x43421),f317(f179(f904(x43422)),x43423)),x43424)),x43425)),f317(f317(f171(x43421,x43422),x43424),f317(f317(f124(x43422),x43423),x43425)))
% 192.07/191.92 [4457]E(f79(x44571,f317(f317(f20(x44571,a898,a898),f317(f317(f10(a898,f910(a898,a898),x44571),a315),f317(f317(f9(x44571,f910(x44571,a898),a898),f319(x44571)),x44572))),f317(f317(f9(x44571,x44573,a898),f317(f317(f10(x44573,f910(x44573,a898),x44571),a314),x44574)),x44575))),f317(f71(x44571,x44573,x44572,x44574),x44575))
% 192.07/191.92 [4458]E(f84(x44581,f317(f317(f20(x44581,a898,a898),f317(f317(f10(a898,f910(a898,a898),x44581),a315),f317(f317(f9(x44581,f910(x44581,a898),a898),f319(x44581)),x44582))),f317(f317(f9(x44581,x44583,a898),f317(f317(f10(x44583,f910(x44583,a898),x44581),a314),x44584)),x44585))),f317(f85(x44581,x44583,x44582,x44584),x44585))
% 192.07/191.92 [4506]E(f317(f317(f80(a1,x45061),f317(f93(a1),f317(f317(f74(a1),x45062),a87))),f317(f317(f20(a1,x45061,x45061),f317(f317(f9(a1,x45061,f910(x45061,x45061)),f317(f317(f10(a898,f910(x45061,f910(x45061,x45061)),a1),f86(x45061)),a183)),f175(x45061,x45063,x45064,x45065))),f317(f317(f10(a903,x45061,a1),x45064),f317(f317(f9(a1,a903,a903),f317(f317(f10(a903,f910(a903,a903),a1),f74(a903)),a94)),x45065)))),f175(x45061,x45063,x45064,f317(f317(f74(a903),f317(f93(a903),x45062)),x45065)))
% 192.07/191.92 [4541]E(f317(f317(f80(a1,x45411),f317(f93(a1),f317(f317(f74(a1),x45412),a87))),f317(f317(f20(a1,x45411,x45411),f317(f317(f9(a1,x45411,f910(x45411,x45411)),f317(f317(f10(a898,f910(x45411,f910(x45411,x45411)),a1),f86(x45411)),a183)),f317(f174(x45411,x45413,x45414),x45415))),f317(f317(f20(a1,x45411,x45411),f317(f317(f10(a903,f910(x45411,x45411),a1),x45414),f317(f317(f9(a1,a903,a903),f317(f317(f10(a903,f910(a903,a903),a1),f74(a903)),a94)),x45415))),f317(f317(f10(a903,x45411,a1),f174(x45411,x45413,x45414)),f317(f317(f9(a1,a903,a903),f317(f317(f10(a903,f910(a903,a903),a1),f74(a903)),a94)),x45415))))),f317(f174(x45411,x45413,x45414),f317(f317(f74(a903),f317(f93(a903),x45412)),x45415)))
% 192.07/191.92 [4574]E(f317(f252(f909(x45741,x45742)),f317(f247(x45741,x45742,a898),f317(f317(f10(f910(x45742,f910(x45743,a898)),f910(x45742,a898),x45741),f317(f10(f910(x45743,a898),a898,x45742),f81(x45743))),f317(f317(f9(x45741,f910(x45742,f910(x45743,a898)),f910(x45742,f910(x45743,a898))),f317(f317(f10(f910(f910(x45743,a898),f910(x45743,a898)),f910(f910(x45742,f910(x45743,a898)),f910(x45742,f910(x45743,a898))),x45741),f10(f910(x45743,a898),f910(x45743,a898),x45742)),f317(f317(f10(f910(x45743,f910(a898,a898)),f910(f910(x45743,a898),f910(x45743,a898)),x45741),f20(x45743,a898,a898)),f317(f317(f10(f910(x45743,a898),f910(x45743,f910(a898,a898)),x45741),f317(f10(a898,f910(a898,a898),x45743),a315)),f317(f317(f9(x45741,f910(f909(x45741,x45743),a898),f910(x45743,a898)),f317(f317(f10(f910(x45743,f910(f910(f909(x45741,x45743),a898),a898)),f910(f910(f909(x45741,x45743),a898),f910(x45743,a898)),x45741),f9(x45743,f910(f909(x45741,x45743),a898),a898)),f317(f317(f10(f910(x45743,f909(x45741,x45743)),f910(x45743,f910(f910(f909(x45741,x45743),a898),a898)),x45741),f317(f10(f909(x45741,x45743),f910(f910(f909(x45741,x45743),a898),a898),x45743),f319(f909(x45741,x45743)))),f242(x45741,x45743)))),x45744))))),f317(f317(f9(x45742,f910(f909(x45743,x45742),a898),f910(x45743,a898)),f317(f317(f10(f910(x45743,f910(f910(f909(x45743,x45742),a898),a898)),f910(f910(f909(x45743,x45742),a898),f910(x45743,a898)),x45742),f9(x45743,f910(f909(x45743,x45742),a898),a898)),f317(f317(f10(f910(x45743,f909(x45743,x45742)),f910(x45743,f910(f910(f909(x45743,x45742),a898),a898)),x45742),f317(f10(f909(x45743,x45742),f910(f910(f909(x45743,x45742),a898),a898),x45743),f319(f909(x45743,x45742)))),f317(f9(x45743,x45742,f909(x45743,x45742)),f242(x45743,x45742))))),x45745))))),f317(f317(f279(x45741,x45743,x45742),x45744),x45745))
% 192.07/191.92 [4192]E(f214(x41921,x41922,x41923,x41924,f210(x41921,x41922,x41925,x41926)),f317(f317(x41924,x41925),x41926))
% 192.07/191.92 [4193]E(f215(x41931,x41932,x41933,x41934,f210(x41931,x41932,x41935,x41936)),f317(f317(x41934,x41935),x41936))
% 192.07/191.92 [4318]E(f117(x43181,x43182,x43183,x43184,f116(x43182,x43185,x43186)),f317(f317(f317(x43184,x43185),x43186),f117(x43181,x43182,x43183,x43184,x43186)))
% 192.07/191.92 [4337]E(f69(x43371,x43372,f69(x43371,x43372,x43373,x43374,x43375),x43374,x43376),f69(x43371,x43372,x43373,x43374,x43376))
% 192.07/191.92 [4445]E(f317(f67(f909(x44451,x44452),x44452,f909(x44453,x44454),f246(x44451,x44452)),f248(x44453,x44451,x44454,x44452,x44455,x44456)),f317(f67(x44454,x44452,f909(x44453,x44454),x44456),f246(x44453,x44454)))
% 192.07/191.92 [4446]E(f317(f67(f909(x44461,x44462),x44461,f909(x44463,x44464),f241(x44461,x44462)),f248(x44463,x44461,x44464,x44462,x44465,x44466)),f317(f67(x44463,x44461,f909(x44463,x44464),x44465),f241(x44463,x44464)))
% 192.07/191.92 [4064]E(f317(f317(f67(x40641,x40642,x40643,x40644),x40645),x40646),f317(x40644,f317(x40645,x40646)))
% 192.07/191.92 [4202]E(f213(x42021,f909(x42022,f905(x42022)),x42023,f317(f247(x42022,f905(x42022),x42021),x42024),f317(f125(x42022),f116(x42022,x42025,x42026))),f317(f317(x42024,x42025),x42026))
% 192.07/191.92 [4252]E(f216(x42521,x42522,x42523,x42524,f210(x42521,x42522,x42525,x42526)),f317(f317(f74(a903),f317(f317(f74(a903),f317(x42523,x42525)),f317(x42524,x42526))),f317(a102,f2(a903))))
% 192.07/191.92 [3866]E(f317(f317(f247(x38661,x38662,x38663),x38664),f317(f317(f242(x38661,x38662),x38665),x38666)),f317(f317(x38664,x38665),x38666))
% 192.07/191.92 [3926]E(f317(f317(f317(f10(x39261,x39262,x39263),x39264),x39265),x39266),f317(x39264,f317(x39265,x39266)))
% 192.07/191.92 [3927]E(f317(f317(f317(f9(x39271,x39272,x39273),x39274),x39275),x39276),f317(f317(x39274,x39276),x39275))
% 192.07/191.92 [3943]E(f317(f317(f317(f20(x39431,x39432,x39433),x39434),x39435),x39436),f317(f317(x39434,x39436),f317(x39435,x39436)))
% 192.07/191.92 [3966]E(f317(f146(x39661,x39662,x39663,x39664),f317(f317(f141(x39662),x39665),x39666)),f317(f317(x39664,x39665),x39666))
% 192.07/191.92 [4002]E(f159(f909(x40021,x40022),f317(f317(f224(a903),x40023),x40024),f317(f317(f242(x40021,x40022),x40025),x40026)),f317(f317(f171(x40021,x40022),f159(x40021,x40023,x40025)),f159(x40022,x40024,x40026)))
% 192.07/191.92 [4068]E(f317(f317(f141(f909(x40681,x40682)),f317(f317(f242(x40681,x40682),x40683),x40684)),f317(f317(f171(x40681,x40682),x40685),x40686)),f317(f317(f171(x40681,x40682),f317(f317(f141(x40681),x40683),x40685)),f317(f317(f141(x40682),x40684),x40686)))
% 192.07/191.92 [4069]E(f317(f317(f144(x40691,x40692),x40693),f317(f317(f149(x40691,x40694),x40695),x40696)),f317(f317(f149(x40692,f317(f317(f144(x40691,x40692),x40693),x40694)),x40695),f317(x40693,x40696)))
% 192.07/191.92 [4093]E(f317(f317(f245(x40931,x40932,x40933,x40934),x40935),x40936),f317(x40934,f317(f317(f242(x40931,x40932),x40935),x40936)))
% 192.07/191.92 [4109]E(f317(f132(x41091,x41092,x41093,x41094),f317(f317(f141(x41092),x41095),x41096)),f317(f132(x41091,x41092,x41093,f317(f317(x41093,x41094),x41095)),x41096))
% 192.07/191.92 [4135]E(f250(x41351,x41352,x41353,x41354,f317(f317(f242(x41351,x41352),x41355),x41356)),f317(f317(x41354,x41355),x41356))
% 192.07/191.92 [4216]E(f317(f317(f36(x42161,f910(x42162,a898)),x42163),f317(f67(x42164,f910(x42162,a898),x42161,x42165),x42166)),f317(f317(f36(x42164,f910(x42162,a898)),f317(f300(x42161,x42164,x42166),x42163)),x42165))
% 192.07/191.92 [4266]E(f317(f317(f144(x42661,x42662),x42663),f317(f317(f144(x42664,x42661),x42665),x42666)),f317(f317(f144(x42664,x42662),f317(f67(x42661,x42662,x42664,x42663),x42665)),x42666))
% 192.07/191.92 [4272]E(f317(f300(x42721,x42722,f317(f67(x42723,x42722,x42721,x42724),x42725)),x42726),f317(f300(x42723,x42722,x42724),f317(f300(x42721,x42723,x42725),x42726)))
% 192.07/191.92 [4273]E(f317(f301(x42731,x42732,f317(f67(x42733,x42732,x42731,x42734),x42735)),x42736),f317(f301(x42731,x42733,x42735),f317(f301(x42733,x42732,x42734),x42736)))
% 192.07/191.92 [4301]E(f317(f132(x43011,x43012,x43013,f317(f132(x43011,x43012,x43013,x43014),x43015)),x43016),f317(f132(x43011,x43012,x43013,x43014),f317(f317(f124(x43012),x43015),x43016)))
% 192.07/191.92 [4435]E(f317(f248(x44351,x44351,x44352,x44353,f25(x44351),x44354),f317(f317(f242(x44351,x44352),x44355),x44356)),f317(f317(f242(x44351,x44353),x44355),f317(x44354,x44356)))
% 192.07/191.92 [4436]E(f317(f248(x44361,x44362,x44363,x44363,x44364,f25(x44363)),f317(f317(f242(x44361,x44363),x44365),x44366)),f317(f317(f242(x44362,x44363),f317(x44364,x44365)),x44366))
% 192.07/191.92 [4524]E(f317(f317(f144(f909(x45241,x45242),f909(x45241,x45243)),f317(f247(x45241,x45242,f909(x45241,x45243)),f317(f317(f9(x45241,f910(x45242,x45243),f910(x45242,f909(x45241,x45243))),f317(f317(f10(f910(x45243,f909(x45241,x45243)),f910(f910(x45242,x45243),f910(x45242,f909(x45241,x45243))),x45241),f10(x45243,f909(x45241,x45243),x45242)),f242(x45241,x45243))),x45244))),f317(f317(f171(x45241,x45242),x45245),x45246)),f317(f317(f171(x45241,x45243),x45245),f317(f317(f144(x45242,x45243),x45244),x45246)))
% 192.07/191.92 [4119]E(f317(f317(f67(x41191,x41192,x41193,f317(f18(x41192,x41191),x41194)),x41195),x41196),x41194)
% 192.07/191.92 [4151]E(f317(f300(x41511,x41512,x41513),f317(f300(x41514,x41511,x41515),x41516)),f317(f300(x41514,x41512,f317(f317(f10(x41511,x41512,x41514),x41513),x41515)),x41516))
% 192.07/191.92 [4157]E(f317(f317(f35(x41571,f910(x41572,a898)),f317(f300(x41573,x41571,x41574),x41575)),x41576),f317(f317(f35(x41573,f910(x41572,a898)),x41575),f317(f317(f10(x41571,f910(x41572,a898),x41573),x41576),x41574)))
% 192.07/191.92 [4158]E(f317(f317(f36(x41581,f910(x41582,a898)),f317(f300(x41583,x41581,x41584),x41585)),x41586),f317(f317(f36(x41583,f910(x41582,a898)),x41585),f317(f317(f10(x41581,f910(x41582,a898),x41583),x41586),x41584)))
% 192.07/191.92 [4159]E(f317(f317(f35(x41591,f910(x41592,a898)),x41593),f317(f317(f10(x41594,f910(x41592,a898),x41591),x41595),x41596)),f317(f317(f35(x41594,f910(x41592,a898)),f317(f300(x41591,x41594,x41596),x41593)),x41595))
% 192.07/191.92 [4160]E(f317(f317(f36(x41601,f910(x41602,a898)),x41603),f317(f317(f10(x41604,f910(x41602,a898),x41601),x41605),x41606)),f317(f317(f36(x41604,f910(x41602,a898)),f317(f300(x41601,x41604,x41606),x41603)),x41605))
% 192.07/191.92 [4218]E(f317(f317(f36(x42181,f910(x42182,a898)),x42183),f317(f317(f10(f910(x42184,a898),f910(x42182,a898),x42181),f300(x42184,x42182,x42185)),x42186)),f317(f300(x42184,x42182,x42185),f317(f317(f36(x42181,f910(x42184,a898)),x42183),x42186)))
% 192.07/191.92 [4219]E(f317(f317(f36(x42191,f910(x42192,a898)),x42193),f317(f317(f10(f910(x42194,a898),f910(x42192,a898),x42191),f275(x42194,x42192,x42195)),x42196)),f317(f275(x42194,x42192,x42195),f317(f317(f36(x42191,f910(x42194,a898)),x42193),x42196)))
% 192.07/191.92 [4220]E(f317(f317(f35(x42201,f910(x42202,a898)),x42203),f317(f317(f10(f910(x42204,a898),f910(x42202,a898),x42201),f301(x42202,x42204,x42205)),x42206)),f317(f301(x42202,x42204,x42205),f317(f317(f35(x42201,f910(x42204,a898)),x42203),x42206)))
% 192.07/191.92 [4221]E(f317(f317(f36(x42211,f910(x42212,a898)),x42213),f317(f317(f10(f910(x42214,a898),f910(x42212,a898),x42211),f301(x42212,x42214,x42215)),x42216)),f317(f301(x42212,x42214,x42215),f317(f317(f36(x42211,f910(x42214,a898)),x42213),x42216)))
% 192.07/191.92 [4306]E(f317(f132(x43061,x43062,f317(f9(x43062,x43061,x43061),x43063),x43064),f317(f158(x43062),f317(f317(f141(x43062),x43065),x43066))),f317(f317(x43063,x43065),f317(f132(x43061,x43062,f317(f9(x43062,x43061,x43061),x43063),x43064),f317(f158(x43062),x43066))))
% 192.07/191.92 [4364]E(f317(f317(f20(f909(x43641,x43642),x43642,x43643),f317(f317(f10(x43644,f910(x43642,x43643),f909(x43641,x43642)),x43645),f317(f317(f10(x43641,x43644,f909(x43641,x43642)),x43646),f241(x43641,x43642)))),f246(x43641,x43642)),f317(f247(x43641,x43642,x43643),f317(f317(f10(x43644,f910(x43642,x43643),x43641),x43645),x43646)))
% 192.07/191.92 [4371]E(f317(f132(x43711,x43712,f317(f9(x43712,x43711,x43711),x43713),f317(f132(x43711,x43712,f317(f9(x43712,x43711,x43711),x43713),x43714),f317(f158(x43712),x43715))),f317(f158(x43712),x43716)),f317(f132(x43711,x43712,f317(f9(x43712,x43711,x43711),x43713),x43714),f317(f158(x43712),f317(f317(f124(x43712),x43716),x43715))))
% 192.07/191.92 [4373]E(f317(f317(f144(f909(x43731,x43732),f909(x43733,x43732)),f317(f247(x43731,x43732,f909(x43733,x43732)),f317(f317(f10(x43733,f910(x43732,f909(x43733,x43732)),x43731),f242(x43733,x43732)),x43734))),f317(f317(f171(x43731,x43732),x43735),x43736)),f317(f317(f171(x43733,x43732),f317(f317(f144(x43731,x43733),x43734),x43735)),x43736))
% 192.07/191.92 [4418]P2(f317(f317(f226(f910(x44181,a898)),f317(f275(x44182,x44181,x44183),f317(f317(f35(x44184,f910(x44182,a898)),x44185),x44186))),f317(f317(f35(x44184,f910(x44181,a898)),x44185),f317(f317(f10(f910(x44182,a898),f910(x44181,a898),x44184),f275(x44182,x44181,x44183)),x44186))))
% 192.07/191.92 [4231]E(f317(f317(f171(x42311,x42312),f317(f317(f149(x42311,x42313),x42314),f317(f241(x42311,x42312),x42315))),f317(f317(f149(x42312,x42316),x42314),f317(f246(x42311,x42312),x42315))),f317(f317(f149(f909(x42311,x42312),f317(f317(f171(x42311,x42312),x42313),x42316)),x42314),x42315))
% 192.07/191.92 [4289]E(f317(f317(f100(f910(f909(x42891,x42892),a898)),f317(f317(f279(x42891,x42893,x42892),x42894),x42895)),f317(f317(f279(x42891,x42893,x42892),x42894),x42896)),f317(f317(f279(x42891,x42893,x42892),x42894),f317(f317(f100(f910(f909(x42893,x42892),a898)),x42895),x42896)))
% 192.07/191.92 [4383]E(f317(f317(f299(f909(x43831,x43832)),f317(f317(f242(x43831,x43832),x43833),x43834)),f317(f317(f100(f910(f909(x43831,x43832),a898)),f317(f317(f244(x43831,x43832),x43835),f317(f18(f910(x43832,a898),x43831),f317(f317(f299(x43832),x43834),x43836)))),f317(f317(f244(x43831,x43832),f317(f317(f299(x43831),x43833),x43835)),f317(f18(f910(x43832,a898),x43831),x43836)))),f317(f317(f244(x43831,x43832),f317(f317(f299(x43831),x43833),x43835)),f317(f18(f910(x43832,a898),x43831),f317(f317(f299(x43832),x43834),x43836))))
% 192.07/191.92 [4462]E(f317(f317(f91(f910(x44621,a898)),f317(f301(x44621,x44622,f317(f67(f909(x44622,x44623),x44622,x44621,f241(x44622,x44623)),x44624)),x44625)),f317(f301(x44621,x44623,f317(f67(f909(x44622,x44623),x44623,x44621,f246(x44622,x44623)),x44624)),x44626)),f317(f301(x44621,f909(x44622,x44623),x44624),f317(f317(f244(x44622,x44623),x44625),f317(f18(f910(x44623,a898),x44622),x44626))))
% 192.07/191.92 [4312]E(f317(f317(f100(f910(f909(x43121,x43122),a898)),f317(f317(f279(x43121,x43123,x43122),x43124),x43125)),f317(f317(f279(x43121,x43123,x43122),x43126),x43125)),f317(f317(f279(x43121,x43123,x43122),f317(f317(f100(f910(f909(x43121,x43123),a898)),x43124),x43126)),x43125))
% 192.07/191.92 [4443]E(f317(f317(f35(x44431,f910(x44432,a898)),x44433),f317(f317(f9(x44431,f910(x44434,f910(x44432,a898)),f910(x44432,a898)),f317(f317(f10(f910(x44434,a898),f910(f910(x44434,f910(x44432,a898)),f910(x44432,a898)),x44431),f35(x44434,f910(x44432,a898))),x44435)),x44436)),f317(f317(f35(x44434,f910(x44432,a898)),f317(f317(f36(x44431,f910(x44434,a898)),x44433),x44435)),x44436))
% 192.07/191.92 [4444]E(f317(f317(f36(x44441,f910(x44442,a898)),x44443),f317(f317(f9(x44441,f910(x44444,f910(x44442,a898)),f910(x44442,a898)),f317(f317(f10(f910(x44444,a898),f910(f910(x44444,f910(x44442,a898)),f910(x44442,a898)),x44441),f36(x44444,f910(x44442,a898))),x44445)),x44446)),f317(f317(f36(x44444,f910(x44442,a898)),f317(f317(f36(x44441,f910(x44444,a898)),x44443),x44445)),x44446))
% 192.07/191.92 [4496]E(f317(f247(x44961,x44962,f909(x44963,x44964)),f317(f317(f9(x44961,f910(x44962,x44964),f910(x44962,f909(x44963,x44964))),f317(f317(f10(f910(x44964,f909(x44963,x44964)),f910(f910(x44962,x44964),f910(x44962,f909(x44963,x44964))),x44961),f10(x44964,f909(x44963,x44964),x44962)),f317(f317(f10(x44963,f910(x44964,f909(x44963,x44964)),x44961),f242(x44963,x44964)),x44965))),x44966)),f248(x44961,x44963,x44962,x44964,x44965,x44966))
% 192.07/191.92 [4519]E(f317(f300(x45191,x45192,f317(f317(f20(x45191,x45192,x45192),f317(f317(f20(x45191,x45192,f910(x45192,x45192)),f317(f317(f10(a898,f910(x45192,f910(x45192,x45192)),x45191),f86(x45192)),x45193)),x45194)),x45195)),x45196),f317(f317(f100(f910(x45192,a898)),f317(f300(x45191,x45192,x45194),f317(f317(f91(f910(x45191,a898)),x45196),f317(f252(x45191),x45193)))),f317(f300(x45191,x45192,x45195),f317(f317(f91(f910(x45191,a898)),x45196),f317(f252(x45191),f317(f317(f10(a898,a898,x45191),a312),x45193))))))
% 192.07/191.92 [4531]E(f317(f300(x45311,f909(x45312,x45313),f317(f317(f20(x45311,x45313,f909(x45312,x45313)),f317(f317(f10(x45312,f910(x45313,f909(x45312,x45313)),x45311),f242(x45312,x45313)),x45314)),x45315)),x45316),f317(f317(f244(x45312,x45313),f317(f300(x45311,x45312,x45314),x45316)),f317(f317(f10(f910(x45311,a898),f910(x45313,a898),x45312),f300(x45311,x45313,x45315)),f317(f317(f9(x45312,f910(x45311,a898),f910(x45311,a898)),f317(f317(f10(f910(x45311,a898),f910(f910(x45311,a898),f910(x45311,a898)),x45312),f91(f910(x45311,a898))),f317(f317(f10(f910(x45312,a898),f910(x45311,a898),x45312),f301(x45311,x45312,x45314)),f317(f317(f9(x45312,f910(x45312,a898),f910(x45312,a898)),f299(x45312)),f178(f910(x45312,a898)))))),x45316))))
% 192.07/191.92 [4556]E(f236(x45561,x45562,x45563,x45564,x45565,x45566),f317(x45564,f317(f252(x45561),f317(f317(f10(f910(f910(x45563,x45561),a898),a898,x45561),f81(f910(x45563,x45561))),f317(f317(f10(f910(f910(x45563,x45561),a898),f910(f910(x45563,x45561),a898),x45561),f317(f20(f910(x45563,x45561),a898,a898),f317(f317(f10(a898,f910(a898,a898),f910(x45563,x45561)),a315),f317(f317(f9(f910(x45563,x45561),f910(f910(x45563,x45561),a898),a898),f319(f910(x45563,x45561))),x45565)))),f317(f317(f9(x45561,f910(f910(x45563,x45561),x45561),f910(f910(x45563,x45561),a898)),f317(f317(f10(f910(x45561,a898),f910(f910(f910(x45563,x45561),x45561),f910(f910(x45563,x45561),a898)),x45561),f10(x45561,a898,f910(x45563,x45561))),a314)),f317(f317(f9(f910(x45563,x45561),x45563,x45561),f7(f910(x45563,x45561))),x45566)))))))
% 192.07/191.92 [4345]E(f317(f67(x43451,x43452,x43453,x43454),f69(x43453,x43451,x43455,x43456,x43457)),f69(x43453,x43452,f317(f67(x43451,x43452,x43453,x43454),x43455),x43456,f317(x43454,x43457)))
% 192.07/191.92 [4479]E(f317(f246(x44791,x44792),f317(f248(x44793,x44791,x44794,x44792,x44795,x44796),x44797)),f317(x44796,f317(f246(x44793,x44794),x44797)))
% 192.07/191.92 [4480]E(f317(f241(x44801,x44802),f317(f248(x44803,x44801,x44804,x44802,x44805,x44806),x44807)),f317(x44805,f317(f241(x44803,x44804),x44807)))
% 192.07/191.92 [4194]E(f317(f317(f171(x41941,x41942),f317(f317(f149(x41941,x41943),x41944),x41945)),f317(f317(f149(x41942,x41946),x41944),x41947)),f317(f317(f149(f909(x41941,x41942),f317(f317(f171(x41941,x41942),x41943),x41946)),x41944),f317(f317(f242(x41941,x41942),x41945),x41947)))
% 192.07/191.92 [4261]E(f317(f317(f317(f249(x42611,x42612,x42613,x42614),x42615),x42616),x42617),f317(f317(f247(x42612,x42613,x42614),x42616),f317(x42615,x42617)))
% 192.07/191.92 [4271]E(f317(f317(f317(f249(x42711,x42712,x42713,x42714),x42715),x42716),x42717),f317(f317(x42716,f317(f241(x42712,x42713),f317(x42715,x42717))),f317(f246(x42712,x42713),f317(x42715,x42717))))
% 192.07/191.92 [4323]E(f317(f67(x43231,x43232,x43233,x43234),f317(f67(x43235,x43231,x43233,x43236),x43237)),f317(f67(x43235,x43232,x43233,f317(f67(x43231,x43232,x43235,x43234),x43236)),x43237))
% 192.07/191.92 [4500]E(f317(f248(x45001,x45002,x45003,x45003,x45004,f25(x45003)),f317(f248(x45001,x45001,x45005,x45003,f25(x45001),x45006),x45007)),f317(f317(f242(x45002,x45003),f317(x45004,f317(f241(x45001,x45005),x45007))),f317(x45006,f317(f246(x45001,x45005),x45007))))
% 192.07/191.92 [4501]E(f317(f248(x45011,x45011,x45012,x45013,f25(x45011),x45014),f317(f248(x45015,x45011,x45012,x45012,x45016,f25(x45012)),x45017)),f317(f317(f242(x45011,x45013),f317(x45016,f317(f241(x45015,x45012),x45017))),f317(x45014,f317(f246(x45015,x45012),x45017))))
% 192.07/191.92 [4517]E(f317(f248(x45171,x45172,x45173,x45173,x45174,f25(x45173)),f317(f248(x45175,x45171,x45173,x45173,x45176,f25(x45173)),x45177)),f317(f248(x45175,x45172,x45173,x45173,f317(f67(x45171,x45172,x45175,x45174),x45176),f25(x45173)),x45177))
% 192.07/191.92 [4518]E(f317(f248(x45181,x45181,x45182,x45183,f25(x45181),x45184),f317(f248(x45181,x45181,x45185,x45182,f25(x45181),x45186),x45187)),f317(f248(x45181,x45181,x45185,x45183,f25(x45181),f317(f67(x45182,x45183,x45185,x45184),x45186)),x45187))
% 192.07/191.92 [4528]E(f317(f248(x45281,x45282,x45283,x45283,x45284,f25(x45283)),f317(f248(x45281,x45281,x45285,x45283,f25(x45281),x45286),x45287)),f317(f248(x45282,x45282,x45285,x45283,f25(x45282),x45286),f317(f248(x45281,x45282,x45285,x45285,x45284,f25(x45285)),x45287)))
% 192.07/191.92 [4228]E(f317(f317(f279(x42281,x42282,x42283),f317(f317(f279(x42281,x42284,x42282),x42285),x42286)),x42287),f317(f317(f279(x42281,x42284,x42283),x42285),f317(f317(f279(x42284,x42282,x42283),x42286),x42287)))
% 192.07/191.92 [4295]E(f317(f317(f247(x42951,x42952,x42953),f317(f67(x42954,f910(x42952,x42953),x42951,x42955),x42956)),x42957),f317(f317(x42955,f317(x42956,f317(f241(x42951,x42952),x42957))),f317(f246(x42951,x42952),x42957)))
% 192.07/191.92 [4376]E(f317(f132(x43761,x43762,f317(f9(x43762,x43761,x43761),x43763),x43764),f317(f158(x43762),f317(f317(f144(x43765,x43762),x43766),x43767))),f317(f132(x43761,x43765,f317(f9(x43765,x43761,x43761),f317(f67(x43762,f910(x43761,x43761),x43765,x43763),x43766)),x43764),f317(f158(x43765),x43767)))
% 192.07/191.92 [4324]E(f317(f317(f36(x43241,f910(f909(x43242,x43243),a898)),x43244),f317(f317(f10(f910(f909(x43245,x43243),a898),f910(f909(x43242,x43243),a898),x43241),f317(f279(x43242,x43245,x43243),x43246)),x43247)),f317(f317(f279(x43242,x43245,x43243),x43246),f317(f317(f36(x43241,f910(f909(x43245,x43243),a898)),x43244),x43247)))
% 192.07/191.92 [4467]E(f317(f317(f36(x44671,f910(f909(x44672,x44673),a898)),x44674),f317(f317(f9(x44671,f910(f909(x44675,x44673),a898),f910(f909(x44672,x44673),a898)),f317(f317(f10(f910(f909(x44672,x44675),a898),f910(f910(f909(x44675,x44673),a898),f910(f909(x44672,x44673),a898)),x44671),f279(x44672,x44675,x44673)),x44676)),x44677)),f317(f317(f279(x44672,x44675,x44673),f317(f317(f36(x44671,f910(f909(x44672,x44675),a898)),x44674),x44676)),x44677))
% 192.07/191.92 [4468]E(f317(f132(x44681,x44682,f317(f317(f9(x44681,f910(x44682,x44683),f910(x44682,x44681)),f317(f317(f10(f910(x44683,x44681),f910(f910(x44682,x44683),f910(x44682,x44681)),x44681),f10(x44683,x44681,x44682)),x44684)),x44685),x44686),x44687),f317(f132(x44681,x44683,x44684,x44686),f317(f317(f144(x44682,x44683),x44685),x44687)))
% 192.07/191.92 [4529]E(f317(f317(f35(x45291,f910(x45292,a898)),x45293),f317(f317(f10(f910(x45294,f910(x45292,a898)),f910(x45292,a898),x45291),f317(f35(x45294,f910(x45292,a898)),x45295)),f317(f317(f9(x45291,f910(x45294,f910(x45292,a898)),f910(x45294,f910(x45292,a898))),f317(f317(f10(f910(f910(x45292,a898),f910(x45292,a898)),f910(f910(x45294,f910(x45292,a898)),f910(x45294,f910(x45292,a898))),x45291),f10(f910(x45292,a898),f910(x45292,a898),x45294)),f317(f317(f10(f910(x45292,a898),f910(f910(x45292,a898),f910(x45292,a898)),x45291),f100(f910(x45292,a898))),x45296))),x45297))),f317(f317(f100(f910(x45292,a898)),f317(f317(f35(x45291,f910(x45292,a898)),x45293),x45296)),f317(f317(f35(x45294,f910(x45292,a898)),x45295),x45297)))
% 192.07/191.92 [4530]E(f317(f317(f36(x45301,f910(x45302,a898)),x45303),f317(f317(f10(f910(x45304,f910(x45302,a898)),f910(x45302,a898),x45301),f317(f36(x45304,f910(x45302,a898)),x45305)),f317(f317(f9(x45301,f910(x45304,f910(x45302,a898)),f910(x45304,f910(x45302,a898))),f317(f317(f10(f910(f910(x45302,a898),f910(x45302,a898)),f910(f910(x45304,f910(x45302,a898)),f910(x45304,f910(x45302,a898))),x45301),f10(f910(x45302,a898),f910(x45302,a898),x45304)),f317(f317(f10(f910(x45302,a898),f910(f910(x45302,a898),f910(x45302,a898)),x45301),f91(f910(x45302,a898))),x45306))),x45307))),f317(f317(f91(f910(x45302,a898)),f317(f317(f36(x45301,f910(x45302,a898)),x45303),x45306)),f317(f317(f36(x45304,f910(x45302,a898)),x45305),x45307)))
% 192.07/191.92 [4522]E(f187(x45221,x45222,f317(f317(f317(x45223,x45224),x45225),x45226),f317(f317(f9(x45221,f909(a89,a89),f910(a89,f905(x45222))),f317(f317(f9(x45221,a89,f910(f909(a89,a89),f910(a89,f905(x45222)))),f317(f317(f9(x45221,a89,f910(a89,f910(f909(a89,a89),f910(a89,f905(x45222))))),x45227),x45224)),x45225)),x45226)),f317(f317(f317(f199(x45221,x45222,x45223,x45227),x45224),x45225),x45226))
% 192.07/191.92 [4536]E(f188(x45361,x45362,f317(f317(f317(x45363,x45364),x45365),x45366),f317(f317(f9(x45361,f909(a89,a89),f910(a89,f905(x45362))),f317(f317(f9(x45361,a89,f910(f909(a89,a89),f910(a89,f905(x45362)))),f317(f317(f9(x45361,a89,f910(a89,f910(f909(a89,a89),f910(a89,f905(x45362))))),x45367),x45364)),x45365)),x45366)),f201(x45361,x45362,x45363,x45367,x45364,x45365,x45366))
% 192.07/191.92 [4527]E(f185(x45271,x45272,f317(f317(f317(x45273,x45274),x45275),x45276),f317(f317(f9(x45271,f909(a89,a89),f910(a89,f905(f906(x45272)))),f317(f317(f9(x45271,a89,f910(f909(a89,a89),f910(a89,f905(f906(x45272))))),f317(f317(f9(x45271,a89,f910(a89,f910(f909(a89,a89),f910(a89,f905(f906(x45272)))))),x45277),x45274)),x45275)),x45276)),f317(f317(f317(f195(x45271,x45272,x45273,x45277),x45274),x45275),x45276))
% 192.07/191.92 [4538]E(f186(x45381,x45382,f317(f317(f317(x45383,x45384),x45385),x45386),f317(f317(f9(x45381,f909(a89,a89),f910(a89,f905(f906(x45382)))),f317(f317(f9(x45381,a89,f910(f909(a89,a89),f910(a89,f905(f906(x45382))))),f317(f317(f9(x45381,a89,f910(a89,f910(f909(a89,a89),f910(a89,f905(f906(x45382)))))),x45387),x45384)),x45385)),x45386)),f197(x45381,x45382,x45383,x45387,x45384,x45385,x45386))
% 192.07/191.92 [4437]E(f317(f248(x44371,x44372,x44373,x44374,x44375,x44376),f317(f317(f242(x44371,x44373),x44377),x44378)),f317(f317(f242(x44372,x44374),f317(x44375,x44377)),f317(x44376,x44378)))
% 192.07/191.92 [4540]E(f317(f317(f144(f909(x45401,x45402),f909(x45403,x45404)),f317(f247(x45401,x45402,f909(x45403,x45404)),f317(f317(f9(x45401,f910(x45402,x45404),f910(x45402,f909(x45403,x45404))),f317(f317(f10(f910(x45404,f909(x45403,x45404)),f910(f910(x45402,x45404),f910(x45402,f909(x45403,x45404))),x45401),f10(x45404,f909(x45403,x45404),x45402)),f317(f317(f10(x45403,f910(x45404,f909(x45403,x45404)),x45401),f242(x45403,x45404)),x45405))),x45406))),f317(f317(f171(x45401,x45402),x45407),x45408)),f317(f317(f171(x45403,x45404),f317(f317(f144(x45401,x45403),x45405),x45407)),f317(f317(f144(x45402,x45404),x45406),x45408)))
% 192.07/191.92 [4543]E(f317(f317(f144(f909(x45431,x45432),x45433),f317(f247(x45431,x45432,x45433),f317(f317(f10(f910(x45432,f909(x45431,x45434)),f910(x45432,x45433),x45431),f317(f10(f909(x45431,x45434),x45433,x45432),x45435)),f317(f317(f9(x45431,f910(x45432,x45434),f910(x45432,f909(x45431,x45434))),f317(f317(f10(f910(x45434,f909(x45431,x45434)),f910(f910(x45432,x45434),f910(x45432,f909(x45431,x45434))),x45431),f10(x45434,f909(x45431,x45434),x45432)),f242(x45431,x45434))),x45436)))),f317(f317(f171(x45431,x45432),x45437),x45438)),f317(f317(f144(f909(x45431,x45434),x45433),x45435),f317(f317(f171(x45431,x45434),x45437),f317(f317(f144(x45432,x45434),x45436),x45438))))
% 192.07/191.92 [4471]E(f317(f317(f144(f909(x44711,x44712),x44713),f317(f247(x44711,x44712,x44713),f317(f317(f10(f910(x44712,f909(x44714,x44712)),f910(x44712,x44713),x44711),f317(f10(f909(x44714,x44712),x44713,x44712),x44715)),f317(f317(f10(x44714,f910(x44712,f909(x44714,x44712)),x44711),f242(x44714,x44712)),x44716)))),f317(f317(f171(x44711,x44712),x44717),x44718)),f317(f317(f144(f909(x44714,x44712),x44713),x44715),f317(f317(f171(x44714,x44712),f317(f317(f144(x44711,x44714),x44716),x44717)),x44718)))
% 192.07/191.92 [4428]E(f317(f317(f247(x44281,x44282,x44283),f317(f317(f10(f910(x44282,f909(x44284,x44285)),f910(x44282,x44283),x44281),f317(f10(f909(x44284,x44285),x44283,x44282),f317(f247(x44284,x44285,x44283),x44286))),x44287)),x44288),f317(f317(f247(x44284,x44285,x44283),x44286),f317(f317(f247(x44281,x44282,f909(x44284,x44285)),x44287),x44288)))
% 192.07/191.92 [4544]E(f317(f317(f36(f909(x45441,x45442),f910(f909(x45443,x45444),a898)),f317(f317(f244(x45441,x45442),x45445),f317(f18(f910(x45442,a898),x45441),x45446))),f317(f247(x45441,x45442,f910(f909(x45443,x45444),a898)),f317(f317(f9(x45441,f910(x45442,f910(x45443,f910(x45444,a898))),f910(x45442,f910(f909(x45443,x45444),a898))),f317(f317(f10(f910(f910(x45443,f910(x45444,a898)),f910(f909(x45443,x45444),a898)),f910(f910(x45442,f910(x45443,f910(x45444,a898))),f910(x45442,f910(f909(x45443,x45444),a898))),x45441),f10(f910(x45443,f910(x45444,a898)),f910(f909(x45443,x45444),a898),x45442)),f317(f317(f10(f910(x45443,a898),f910(f910(x45443,f910(x45444,a898)),f910(f909(x45443,x45444),a898)),x45441),f244(x45443,x45444)),x45447))),f317(f317(f10(f910(x45444,a898),f910(x45443,f910(x45444,a898)),x45442),f18(f910(x45444,a898),x45443)),x45448)))),f317(f317(f244(x45443,x45444),f317(f317(f36(x45441,f910(x45443,a898)),x45445),x45447)),f317(f18(f910(x45444,a898),x45443),f317(f317(f36(x45442,f910(x45444,a898)),x45446),x45448))))
% 192.07/191.92 [4485]E(f317(f317(f249(x44851,x44852,x44853,x44854),f317(f317(f249(x44851,x44855,x44856,f909(x44852,x44853)),x44857),x44858)),x44859),f317(f317(f249(x44851,x44855,x44856,x44854),x44857),f317(f317(f9(x44855,f910(x44852,f910(x44853,x44854)),f910(x44856,x44854)),f317(f317(f10(f910(x44856,f909(x44852,x44853)),f910(f910(x44852,f910(x44853,x44854)),f910(x44856,x44854)),x44855),f249(x44856,x44852,x44853,x44854)),x44858)),x44859)))
% 192.07/191.92 [4514]E(f317(f67(f909(x45141,x45142),f909(x45143,x45144),f909(x45145,x45146),f248(x45141,x45143,x45142,x45144,x45147,x45148)),f248(x45145,x45141,x45146,x45142,x45149,x451410)),f248(x45145,x45143,x45146,x45144,f317(f67(x45141,x45143,x45145,x45147),x45149),f317(f67(x45142,x45144,x45146,x45148),x451410)))
% 192.07/191.92 [4520]E(f317(f248(x45201,x45202,x45203,x45204,x45205,x45206),f317(f248(x45207,x45201,x45208,x45203,x45209,x452010),x452011)),f317(f248(x45207,x45202,x45208,x45204,f317(f67(x45201,x45202,x45207,x45205),x45209),f317(f67(x45203,x45204,x45208,x45206),x452010)),x452011))
% 192.07/191.92 [4647]~P3(x46471)+P3(f906(x46471))
% 192.07/191.92 [4648]~P60(x46481)+P60(f906(x46481))
% 192.07/191.92 [4649]~P105(x46491)+P105(f904(x46491))
% 192.07/191.92 [4652]~P144(x46521)+~E(f72(x46521),f2(x46521))
% 192.07/191.92 [4654]~E(x46541,f2(a89))+E(f317(a24,x46541),f2(a1))
% 192.07/191.92 [4655]~E(x46551,f2(a1))+E(f76(a1,x46551),f2(a1))
% 192.07/191.92 [4661]~P145(x46611)+P28(x46611,f2(x46611))
% 192.07/191.92 [4663]~P108(x46631)+P14(x46631,f103(x46631))
% 192.07/191.92 [4672]P2(x46721)+P2(f317(a312,x46721))
% 192.07/191.92 [4726]~P145(x47261)+~P28(x47261,f72(x47261))
% 192.07/191.92 [4763]~P2(x47631)+~P2(f317(a312,x47631))
% 192.07/191.92 [4784]E(f317(a94,x47841),f2(a903))+~P2(f317(a183,x47841))
% 192.07/191.92 [4850]~P69(x48501)+P17(x48501,x48501,f75(x48501))
% 192.07/191.92 [4851]~P97(x48511)+P15(x48511,x48511,f75(x48511))
% 192.07/191.92 [4852]~P101(x48521)+P15(x48521,x48521,f100(x48521))
% 192.07/191.92 [4853]~P104(x48531)+P15(x48531,x48531,f91(x48531))
% 192.07/191.92 [4854]~P108(x48541)+P15(x48541,x48541,f224(x48541))
% 192.07/191.92 [4855]~P108(x48551)+P15(x48551,x48551,f225(x48551))
% 192.07/191.92 [4658]~E(x46581,f2(a903))+E(f317(f90(a1),x46581),f2(a1))
% 192.07/191.92 [4665]~P93(x46651)+E(f317(f93(x46651),a77),f2(x46651))
% 192.07/191.92 [4668]~E(f533(x46681),f2(a903))+E(f317(f155(a903),x46681),f2(a903))
% 192.07/191.92 [4669]~P107(x46691)+E(f228(x46691,f226(x46691)),f224(x46691))
% 192.07/191.92 [4670]~P107(x46701)+E(f229(x46701,f226(x46701)),f225(x46701))
% 192.07/191.92 [4671]~P90(x46711)+E(f76(x46711,f2(x46711)),f2(x46711))
% 192.07/191.92 [4680]~P145(x46801)+E(f317(f90(x46801),f72(a903)),f72(x46801))
% 192.07/191.92 [4681]~P145(x46811)+E(f317(f90(x46811),f2(a903)),f2(x46811))
% 192.07/191.92 [4682]~P141(x46821)+E(f317(f92(x46821),f72(a1)),f72(x46821))
% 192.07/191.92 [4683]~P141(x46831)+E(f317(f92(x46831),f2(a1)),f2(x46831))
% 192.07/191.92 [4684]E(x46841,f2(a903))+~E(f317(f90(a1),x46841),f2(a1))
% 192.07/191.92 [4720]~P117(x47201)+E(f317(f70(x47201),f72(x47201)),f72(x47201))
% 192.07/191.92 [4721]~P85(x47211)+E(f317(f70(x47211),f2(x47211)),f2(x47211))
% 192.07/191.92 [4722]~P96(x47221)+E(f317(f73(x47221),f178(x47221)),f232(x47221))
% 192.07/191.92 [4723]~P76(x47231)+E(f317(f73(x47231),f2(x47231)),f2(x47231))
% 192.07/191.92 [4724]~P96(x47241)+E(f317(f73(x47241),f232(x47241)),f178(x47241))
% 192.07/191.92 [4725]~P82(x47251)+E(f317(f155(x47251),f103(x47251)),f2(x47251))
% 192.07/191.92 [4743]~P36(x47431)+P40(f317(f162(a1),x47431))
% 192.07/191.92 [4768]~P93(x47681)+E(f317(f73(x47681),f72(x47681)),f317(f93(x47681),a87))
% 192.07/191.92 [4783]~P93(x47831)+P28(x47831,f317(f93(x47831),a77))
% 192.07/191.92 [4809]P36(x48091)+~P40(f317(f162(a1),x48091))
% 192.07/191.92 [4856]E(f317(f90(a1),f317(a94,x48561)),x48561)+P2(f317(a183,x48561))
% 192.07/191.92 [4926]~P113(x49261)+E(f235(x49261,f72(x49261),f75(x49261)),f234(x49261))
% 192.07/191.92 [4959]~P93(x49591)+~P28(x49591,f317(f93(x49591),a87))
% 192.07/191.92 [5113]E(f317(f70(a1),x51131),x51131)+P2(f317(f317(f227(a1),x51131),f2(a1)))
% 192.07/191.92 [5131]~E(f317(a94,x51311),f2(a903))+P2(f317(f317(f226(a1),x51311),f2(a1)))
% 192.07/191.92 [5197]~P2(f317(a183,x51971))+P2(f317(f317(f227(a1),x51971),f2(a1)))
% 192.07/191.92 [5237]~P141(x52371)+P2(f317(f317(f319(x52371),f72(x52371)),f99(x52371)))
% 192.07/191.92 [5238]~P145(x52381)+P2(f317(f317(f319(x52381),f72(x52381)),f176(x52381)))
% 192.07/191.92 [5239]~P141(x52391)+P2(f317(f317(f319(x52391),f2(x52391)),f99(x52391)))
% 192.07/191.92 [5240]~P145(x52401)+P2(f317(f317(f319(x52401),f2(x52401)),f176(x52401)))
% 192.07/191.92 [5241]~P110(x52411)+P2(f317(f317(f226(x52411),f2(x52411)),f72(x52411)))
% 192.07/191.92 [5242]~P110(x52421)+P2(f317(f317(f227(x52421),f2(x52421)),f72(x52421)))
% 192.07/191.92 [5294]E(x52941,f72(a903))+~P2(f317(f317(f277(a903),x52941),f72(a903)))
% 192.07/191.92 [5295]E(x52951,f2(a903))+~P2(f317(f317(f226(a903),x52951),f2(a903)))
% 192.07/191.92 [5337]E(f317(a94,x53371),f2(a903))+~P2(f317(f317(f226(a1),x53371),f2(a1)))
% 192.07/191.92 [5395]P2(f317(a183,x53951))+~P2(f317(f317(f227(a1),x53951),f2(a1)))
% 192.07/191.92 [5402]~P108(x54021)+P17(x54021,f904(x54021),f138(x54021,x54021,f7(x54021)))
% 192.07/191.92 [5421]P40(x54211)+~P2(f317(f317(f226(a1),f2(a1)),f803(x54211)))
% 192.07/191.92 [5426]E(f317(f70(a1),x54261),f317(f73(a1),x54261))+~P2(f317(f317(f227(a1),x54261),f2(a1)))
% 192.07/191.92 [5600]~P110(x56001)+~P2(f317(f317(f226(x56001),f72(x56001)),f2(x56001)))
% 192.07/191.92 [5601]~P110(x56011)+~P2(f317(f317(f227(x56011),f72(x56011)),f2(x56011)))
% 192.07/191.92 [5617]~E(x56171,f2(a903))+P2(f317(f317(f226(a1),f317(f90(a1),x56171)),f2(a1)))
% 192.07/191.92 [5618]~E(x56181,f2(a1))+P2(f317(f317(f227(a1),f317(f70(a1),x56181)),f72(a1)))
% 192.07/191.92 [5740]~P82(x57401)+E(f132(x57401,x57401,f74(x57401),f2(x57401)),f155(x57401))
% 192.07/191.92 [5923]~P95(x59231)+P25(a903,x59231,f90(x59231),f232(f910(a903,a898)))
% 192.07/191.92 [6130]E(x61301,f2(a903))+~P2(f317(f317(f226(a1),f317(f90(a1),x61301)),f2(a1)))
% 192.07/191.92 [6131]E(x61311,f2(a1))+~P2(f317(f317(f227(a1),f317(f70(a1),x61311)),f72(a1)))
% 192.07/191.92 [6954]~P2(f317(f317(f227(a1),x69541),f2(a1)))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x69541),x69541)),f2(a1)))
% 192.07/191.92 [7515]P2(f317(f317(f227(a1),x75151),f2(a1)))+~P2(f317(f317(f227(a1),f317(f317(f74(a1),x75151),x75151)),f2(a1)))
% 192.07/191.92 [8065]E(x80651,f317(a5,f2(a903)))+P2(f317(f317(f227(a903),f317(f317(f3(a903),f317(a22,x80651)),f317(a102,f2(a903)))),f317(a22,x80651)))
% 192.07/191.92 [8832]~P2(f317(f317(f227(a1),x88321),f2(a1)))+P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88321),x88321)),a87)),f2(a1)))
% 192.07/191.92 [8929]~P2(f317(f317(f227(a1),x89291),f2(a1)))+P2(f317(f317(f227(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x89291)),x89291)),f2(a1)))
% 192.07/191.92 [9247]P2(f317(f317(f227(a1),x92471),f2(a1)))+~P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92471),x92471)),a87)),f2(a1)))
% 192.07/191.92 [9309]P2(f317(f317(f227(a1),x93091),f2(a1)))+~P2(f317(f317(f227(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x93091)),x93091)),f2(a1)))
% 192.07/191.92 [4757]~E(a77,x47571)+E(f317(f317(f74(a1),x47571),x47571),a77)
% 192.07/191.92 [4758]~E(x47581,a77)+E(f317(f317(f74(a1),x47581),x47581),a77)
% 192.07/191.92 [4769]E(x47691,f2(a1))+E(f317(f317(f31(a1),x47691),x47691),f72(a1))
% 192.07/191.92 [4903]E(x49031,a77)+~E(f317(f317(f74(a1),x49031),x49031),a77)
% 192.07/191.92 [4904]E(a77,x49041)+~E(f317(f317(f74(a1),x49041),x49041),a77)
% 192.07/191.92 [4916]~P6(x49161)+E(f32(x49161,f178(f910(x49161,a898))),f178(x49161))
% 192.07/191.92 [4917]~P6(x49171)+E(f32(x49171,f232(f910(x49171,a898))),f232(x49171))
% 192.07/191.92 [4918]~P6(x49181)+E(f33(x49181,f178(f910(x49181,a898))),f232(x49181))
% 192.07/191.92 [4919]~P6(x49191)+E(f33(x49191,f232(f910(x49191,a898))),f178(x49191))
% 192.07/191.92 [4920]~P108(x49201)+E(f129(x49201,f178(f910(x49201,a898))),f103(x49201))
% 192.07/191.92 [5068]E(x50681,f2(a903))+P2(f317(f317(f227(a903),f2(a903)),x50681))
% 192.07/191.92 [5088]~P7(x50881)+P2(f317(f317(f226(a1),f2(a1)),x50881))
% 192.07/191.92 [5122]~E(f317(f93(a903),x51221),f2(a903))+P2(f317(f317(f226(a1),x51221),a77))
% 192.07/191.92 [5127]P40(x51271)+P2(f317(f317(f319(a1),f803(x51271)),x51271))
% 192.07/191.92 [5128]E(x51281,f317(a5,f2(a903)))+P2(f317(f317(f226(a89),f72(a89)),x51281))
% 192.07/191.92 [5169]P2(f317(a183,x51691))+P2(f317(f317(f226(a1),f2(a1)),x51691))
% 192.07/191.92 [5219]E(f317(f90(a1),f317(a94,x52191)),f2(a1))+P2(f317(f317(f226(a1),f2(a1)),x52191))
% 192.07/191.92 [5276]E(f317(f90(a1),f317(f93(a903),x52761)),f317(f93(a1),x52761))+P2(f317(a183,f317(f93(a1),x52761)))
% 192.07/191.92 [5301]E(f317(f93(a903),x53011),f2(a903))+~P2(f317(a183,f317(f93(a1),x53011)))
% 192.07/191.92 [5302]E(f317(f93(a903),x53021),f2(a903))+~P2(f317(f317(f226(a1),x53021),a77))
% 192.07/191.92 [5334]P7(x53341)+~P2(f317(f317(f226(a1),f2(a1)),x53341))
% 192.07/191.92 [5390]P1(f222(a899,f34(x53901)))+~P2(f317(f317(f319(a900),x53901),a911))
% 192.07/191.92 [5405]E(f317(a102,f766(x54051)),x54051)+~P2(f317(f317(f227(a903),f2(a903)),x54051))
% 192.07/191.92 [5415]E(f317(a102,f317(f93(a903),x54151)),f72(a903))+~P2(f317(a183,f317(f93(a1),x54151)))
% 192.07/191.92 [5422]E(f317(f90(a1),f858(x54221)),x54221)+~P2(f317(f317(f227(a1),f2(a1)),x54221))
% 192.07/191.92 [5430]~E(x54301,f317(a5,f2(a903)))+~P2(f317(f317(f226(a89),f72(a89)),x54301))
% 192.07/191.92 [5437]E(f317(f90(a1),f317(f93(a903),x54371)),f2(a1))+~P2(f317(a183,f317(f93(a1),x54371)))
% 192.07/191.92 [5463]E(f317(f155(a903),x54631),f2(a903))+P2(f317(f317(f319(a903),f533(x54631)),f317(f162(a903),x54631)))
% 192.07/191.92 [5484]E(f317(f90(a1),f317(a94,x54841)),x54841)+~P2(f317(f317(f226(a1),f2(a1)),x54841))
% 192.07/191.92 [5492]~P2(f317(a183,x54921))+~P2(f317(f317(f226(a1),f2(a1)),x54921))
% 192.07/191.92 [5593]E(f317(f317(f74(a903),f72(a903)),f317(f93(a903),x55931)),f72(a903))+~P2(f317(f317(f227(a1),x55931),a77))
% 192.07/191.92 [5659]E(x56591,f2(a903))+~P2(f317(f317(f227(a903),x56591),f317(a102,f2(a903))))
% 192.07/191.92 [5681]E(x56811,f317(a102,f2(a903)))+~P2(f317(f317(f277(a903),x56811),f317(a102,f2(a903))))
% 192.07/191.92 [5699]E(f317(f317(f3(a903),f317(f93(a903),x56991)),f72(a903)),f2(a903))+~P2(f317(f317(f226(a1),x56991),a77))
% 192.07/191.92 [5700]E(f317(f317(f74(a903),f317(f93(a903),x57001)),f72(a903)),f72(a903))+~P2(f317(f317(f227(a1),x57001),a77))
% 192.07/191.92 [5712]~P40(x57121)+E(f317(f30(a903),f317(f300(a1,a903,a94),x57121)),f317(f30(a1),x57121))
% 192.07/191.92 [5741]~P108(x57411)+E(f228(x57411,f317(f9(x57411,x57411,a898),f226(x57411))),f225(x57411))
% 192.07/191.92 [5742]~P108(x57421)+E(f229(x57421,f317(f9(x57421,x57421,a898),f226(x57421))),f224(x57421))
% 192.07/191.92 [5752]E(f41(a903,f317(a102,f2(a903)),f317(f93(a903),x57521)),f317(a102,f2(a903)))+~P2(f317(a183,f317(f93(a1),x57521)))
% 192.07/191.92 [5761]~P2(f317(f317(f227(a1),f2(a1)),x57611))+P2(f317(f317(f226(a1),f72(a1)),x57611))
% 192.07/191.92 [5762]P2(f317(f317(f227(a1),f2(a1)),x57621))+~P2(f317(f317(f226(a1),f72(a1)),x57621))
% 192.07/191.92 [5773]E(f317(a102,f317(f317(f3(a903),x57731),f72(a903))),x57731)+~P2(f317(f317(f227(a903),f2(a903)),x57731))
% 192.07/191.92 [5829]P2(f317(f317(f227(a903),f2(a903)),f858(x58291)))+~P2(f317(f317(f227(a1),f2(a1)),x58291))
% 192.07/191.92 [5890]E(f41(a1,f317(f93(a1),a87),x58901),f317(f317(f3(a1),x58901),f72(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x58901))
% 192.07/191.92 [5936]~P2(f317(f317(f227(a1),a77),x59361))+P2(f317(f317(f227(a903),f2(a903)),f317(f93(a903),x59361)))
% 192.07/191.92 [5941]E(f317(a22,f793(x59411)),x59411)+~P2(f317(f317(f319(a903),x59411),f232(f910(a903,a898))))
% 192.07/191.92 [5994]P2(f317(f317(f227(a903),f2(a903)),f317(a94,x59941)))+~P2(f317(f317(f227(a1),f2(a1)),x59941))
% 192.07/191.92 [6045]~P2(f317(f317(f227(a903),f2(a903)),x60451))+P2(f317(f317(f227(a1),f2(a1)),f317(f90(a1),x60451)))
% 192.07/191.92 [6081]~P2(f317(f317(f227(a903),f2(a903)),f317(a94,x60811)))+P2(f317(f317(f227(a1),f2(a1)),x60811))
% 192.07/191.92 [6096]~P40(x60961)+E(f317(f300(a903,a1,f90(a1)),f317(f300(a1,a903,a94),x60961)),x60961)
% 192.07/191.92 [6109]P2(f317(f317(f227(a1),a77),x61091))+~P2(f317(f317(f227(a903),f2(a903)),f317(f93(a903),x61091)))
% 192.07/191.92 [6168]P2(f317(f317(f227(a903),f2(a903)),x61681))+~P2(f317(f317(f227(a1),f2(a1)),f317(f90(a1),x61681)))
% 192.07/191.92 [6286]E(f317(f300(a903,a1,f90(a1)),f317(f272(a903),f317(a94,x62861))),f317(f292(a1,f2(a1)),x62861))+~P2(f317(f317(f226(a1),f2(a1)),x62861))
% 192.07/191.92 [6303]~P110(x63031)+P2(f317(f317(f227(x63031),f2(x63031)),f317(f317(f74(x63031),f72(x63031)),f72(x63031))))
% 192.07/191.92 [6354]P2(f317(f317(f227(a903),f317(a102,f2(a903))),f317(a94,x63541)))+~P2(f317(f317(f227(a1),f72(a1)),x63541))
% 192.07/191.92 [6456]E(x64561,f2(a1))+P2(f317(f45(f2(a1),x64561),f317(f317(f242(a1,a1),f2(a1)),f2(a1))))
% 192.07/191.92 [6630]~P2(f317(f317(f227(a903),f317(a102,f2(a903))),f317(a94,x66301)))+P2(f317(f317(f227(a1),f72(a1)),x66301))
% 192.07/191.92 [7070]~P115(x70701)+P37(x70701,f317(f252(f909(x70701,x70701)),f317(f247(x70701,x70701,a898),f227(x70701))))
% 192.07/191.92 [5646]E(f317(f93(a903),f317(f317(f3(a1),x56461),a87)),f317(a102,f317(f93(a903),x56461)))+P2(f317(a183,f317(f93(a1),x56461)))
% 192.07/191.92 [5662]~P36(x56621)+E(f317(f317(f144(a903,a1),f90(a1)),f317(f317(f144(a1,a903),a94),x56621)),x56621)
% 192.07/191.92 [5779]E(f317(f73(a1),f317(f90(a1),f317(a102,f879(x57791)))),x57791)+~P2(f317(f317(f227(a1),x57791),f2(a1)))
% 192.07/191.92 [5789]E(f317(f317(f74(a903),f72(a903)),f317(f93(a903),x57891)),f317(f93(a903),f317(f317(f3(a1),x57891),a87)))+P2(f317(f317(f227(a1),x57891),a77))
% 192.07/191.92 [5831]E(f317(f317(f31(a1),f317(f93(a1),a87)),x58311),f317(f93(a1),a87))+~P2(f317(f317(f227(a1),f2(a1)),x58311))
% 192.07/191.92 [5932]E(f317(f317(f3(a903),f317(f93(a903),x59321)),f72(a903)),f317(f93(a903),f317(f317(f74(a1),x59321),a87)))+P2(f317(f317(f226(a1),x59321),a77))
% 192.07/191.92 [5933]E(f317(f317(f74(a903),f317(f93(a903),x59331)),f72(a903)),f317(f93(a903),f317(f317(f3(a1),x59331),a87)))+P2(f317(f317(f227(a1),x59331),a77))
% 192.07/191.92 [5979]E(f317(a94,f317(f317(f74(a1),f72(a1)),x59791)),f317(a102,f317(a94,x59791)))+~P2(f317(f317(f226(a1),f2(a1)),x59791))
% 192.07/191.92 [6016]E(f317(a102,f317(f317(f3(a903),x60161),f317(a102,f2(a903)))),x60161)+~P2(f317(f317(f227(a903),f2(a903)),x60161))
% 192.07/191.92 [6235]E(f41(a903,f317(a102,f2(a903)),f317(f93(a903),x62351)),f317(a94,f41(a1,f72(a1),f317(f93(a1),x62351))))+P2(f317(a183,f317(f93(a1),x62351)))
% 192.07/191.92 [6279]~P2(f317(f317(f226(a1),a77),x62791))+P2(f317(f317(f226(a1),a77),f317(f317(f74(a1),x62791),x62791)))
% 192.07/191.92 [6280]~P2(f317(f317(f227(a1),a87),x62801))+P2(f317(f317(f226(a1),a87),f317(f317(f74(a1),x62801),x62801)))
% 192.07/191.92 [6281]~P2(f317(f317(f227(a1),a77),x62811))+P2(f317(f317(f227(a1),a77),f317(f317(f74(a1),x62811),x62811)))
% 192.07/191.92 [6282]~P2(f317(f317(f227(a1),a87),x62821))+P2(f317(f317(f227(a1),a87),f317(f317(f74(a1),x62821),x62821)))
% 192.07/191.92 [6470]~P2(f317(f29(x64701),f232(f910(x64701,a898))))+P2(f317(f29(f906(x64701)),f232(f910(f906(x64701),a898))))
% 192.07/191.92 [6557]~P2(f317(f317(f226(a1),f2(a1)),x65571))+P2(f317(f317(f227(a1),f2(a1)),f317(f317(f74(a1),f72(a1)),x65571)))
% 192.07/191.92 [6564]E(f317(f241(a1,a1),f43(f72(a1),f317(f93(a1),x65641))),f317(f317(f31(a1),f72(a1)),f317(f93(a1),x65641)))+~P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x65641)))
% 192.07/191.92 [6589]E(f317(f246(a1,a1),f43(f72(a1),f317(f93(a1),x65891))),f41(a1,f72(a1),f317(f93(a1),x65891)))+~P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x65891)))
% 192.07/191.92 [6601]P2(f317(f29(x66011),f232(f910(x66011,a898))))+~P2(f317(f29(f906(x66011)),f232(f910(f906(x66011),a898))))
% 192.07/191.92 [6631]P2(f317(f317(f226(a1),a77),x66311))+~P2(f317(f317(f226(a1),a77),f317(f317(f74(a1),x66311),x66311)))
% 192.07/191.92 [6632]P2(f317(f317(f227(a1),a77),x66321))+~P2(f317(f317(f227(a1),a77),f317(f317(f74(a1),x66321),x66321)))
% 192.07/191.92 [6633]P2(f317(f317(f227(a1),a87),x66331))+~P2(f317(f317(f226(a1),a87),f317(f317(f74(a1),x66331),x66331)))
% 192.07/191.92 [6634]P2(f317(f317(f227(a1),a87),x66341))+~P2(f317(f317(f227(a1),a87),f317(f317(f74(a1),x66341),x66341)))
% 192.07/191.92 [6958]~P2(f317(f29(x69581),f232(f910(x69581,a898))))+P2(f317(f317(f227(a903),f2(a903)),f317(f30(x69581),f232(f910(x69581,a898)))))
% 192.07/191.92 [7553]P2(f317(f29(a903),x75531))+~P2(f317(f29(a1),f317(f300(a903,a1,f90(a1)),x75531)))
% 192.07/191.92 [5569]~E(a87,x55691)+E(f317(f317(f3(a1),f317(f317(f74(a1),x55691),x55691)),a87),a87)
% 192.07/191.92 [5570]~E(x55701,a87)+E(f317(f317(f3(a1),f317(f317(f74(a1),x55701),x55701)),a87),a87)
% 192.07/191.92 [6104]E(x61041,a87)+~E(f317(f317(f3(a1),f317(f317(f74(a1),x61041),x61041)),a87),a87)
% 192.07/191.92 [6105]E(a87,x61051)+~E(f317(f317(f3(a1),f317(f317(f74(a1),x61051),x61051)),a87),a87)
% 192.07/191.92 [6526]~E(f317(f93(a903),x65261),f2(a903))+P2(f317(a183,f317(f93(a1),f317(f317(f74(a1),x65261),a87))))
% 192.07/191.92 [6888]~P2(f317(a183,f317(f93(a1),x68881)))+P2(f317(a183,f317(f93(a1),f317(f317(f74(a1),x68881),x68881))))
% 192.07/191.92 [6889]~P2(f317(f317(f226(a1),x68891),a77))+P2(f317(f317(f226(a1),f317(f317(f74(a1),x68891),x68891)),a77))
% 192.07/191.92 [6890]~P2(f317(f317(f226(a1),x68901),a87))+P2(f317(f317(f226(a1),f317(f317(f74(a1),x68901),x68901)),a87))
% 192.07/191.92 [6891]~P2(f317(f317(f227(a1),x68911),a77))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x68911),x68911)),a77))
% 192.07/191.92 [6892]~P2(f317(f317(f226(a1),x68921),a87))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x68921),x68921)),a87))
% 192.07/191.92 [7216]E(f317(f93(a903),x72161),f2(a903))+~P2(f317(a183,f317(f93(a1),f317(f317(f74(a1),x72161),a87))))
% 192.07/191.92 [7468]~P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x74681)))+P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),f317(f317(f74(a1),x74681),x74681))))
% 192.07/191.92 [7469]P2(f317(a183,f317(f93(a1),x74691)))+~P2(f317(a183,f317(f93(a1),f317(f317(f74(a1),x74691),x74691))))
% 192.07/191.92 [7470]P2(f317(f317(f226(a1),x74701),a77))+~P2(f317(f317(f226(a1),f317(f317(f74(a1),x74701),x74701)),a77))
% 192.07/191.92 [7471]P2(f317(f317(f226(a1),x74711),a87))+~P2(f317(f317(f226(a1),f317(f317(f74(a1),x74711),x74711)),a87))
% 192.07/191.92 [7472]P2(f317(f317(f226(a1),x74721),a87))+~P2(f317(f317(f227(a1),f317(f317(f74(a1),x74721),x74721)),a87))
% 192.07/191.92 [7473]P2(f317(f317(f227(a1),x74731),a77))+~P2(f317(f317(f227(a1),f317(f317(f74(a1),x74731),x74731)),a77))
% 192.07/191.92 [7834]E(f317(a97,f518(x78341)),x78341)+~P2(f317(f317(f319(f910(f909(a903,a903),a898)),x78341),a88))
% 192.07/191.92 [6443]~P93(x64431)+E(f317(f93(x64431),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(x64431))
% 192.07/191.92 [6938]~P2(f317(a183,f317(f93(a1),x69381)))+E(f317(f93(a903),f317(f317(f3(a1),f317(f317(f74(a1),x69381),x69381)),a87)),f2(a903))
% 192.07/191.92 [8010]~P2(f317(f317(f227(a1),f317(f93(a1),x80101)),f2(a1)))+E(f317(f241(a1,a1),f317(a47,f46(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f93(a1),x80101))))),f317(f317(f31(a1),f72(a1)),f317(f93(a1),x80101)))
% 192.07/191.92 [8023]~P2(f317(f317(f227(a1),f317(f93(a1),x80231)),f2(a1)))+E(f317(f246(a1,a1),f317(a47,f46(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f93(a1),x80231))))),f41(a1,f72(a1),f317(f93(a1),x80231)))
% 192.07/191.92 [8072]~P2(f317(f317(f226(a1),a77),x80721))+P2(f317(f317(f226(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x80721),x80721)),a87)))
% 192.07/191.92 [8073]~P2(f317(f317(f226(a1),a87),x80731))+P2(f317(f317(f226(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x80731),x80731)),a87)))
% 192.07/191.92 [8074]~P2(f317(f317(f226(a1),a77),x80741))+P2(f317(f317(f227(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x80741),x80741)),a87)))
% 192.07/191.92 [8075]~P2(f317(f317(f227(a1),a87),x80751))+P2(f317(f317(f227(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x80751),x80751)),a87)))
% 192.07/191.92 [8373]~P93(x83731)+~P28(x83731,f317(f93(x83731),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 192.07/191.92 [8557]P2(f317(f317(f226(a1),a77),x85571))+~P2(f317(f317(f226(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x85571),x85571)),a87)))
% 192.07/191.92 [8558]P2(f317(f317(f226(a1),a77),x85581))+~P2(f317(f317(f227(a1),a77),f317(f317(f3(a1),f317(f317(f74(a1),x85581),x85581)),a87)))
% 192.07/191.92 [8559]P2(f317(f317(f226(a1),a87),x85591))+~P2(f317(f317(f226(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x85591),x85591)),a87)))
% 192.07/191.92 [8560]P2(f317(f317(f227(a1),a87),x85601))+~P2(f317(f317(f227(a1),a87),f317(f317(f3(a1),f317(f317(f74(a1),x85601),x85601)),a87)))
% 192.07/191.92 [8879]E(f317(f93(a903),f317(f317(f3(a1),f317(f317(f74(a1),x88791),x88791)),a87)),f317(f317(f80(a903,a903),f317(f93(a903),x88791)),f317(f317(f10(a903,a903,a903),a102),f317(f317(f20(a903,a903,a903),f74(a903)),f7(a903)))))+P2(f317(a183,f317(f93(a1),x88791)))
% 192.07/191.92 [9747]E(x97471,f178(f910(f909(a903,a903),a898)))+P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),x97471),f178(f910(f909(a903,a903),a898)))),a27))
% 192.07/191.92 [8806]~P2(f317(a183,f317(f93(a1),x88061)))+P2(f317(a183,f317(f93(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88061),x88061)),a87))))
% 192.07/191.92 [8807]~P2(f317(f317(f227(a1),x88071),a77))+P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88071),x88071)),a87)),a77))
% 192.07/191.92 [8808]~P2(f317(f317(f226(a1),x88081),a87))+P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88081),x88081)),a87)),a87))
% 192.07/191.92 [8809]~P2(f317(f317(f227(a1),x88091),a77))+P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88091),x88091)),a87)),a77))
% 192.07/191.92 [8810]~P2(f317(f317(f227(a1),x88101),a87))+P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x88101),x88101)),a87)),a87))
% 192.07/191.92 [8920]~P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x89201)))+P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),f317(f317(f3(a1),f317(f317(f74(a1),x89201),x89201)),a87))))
% 192.07/191.92 [9078]~P93(x90781)+E(f317(f317(f74(x90781),f72(x90781)),f72(x90781)),f317(f93(x90781),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))))
% 192.07/191.92 [9231]P2(f317(a183,f317(f93(a1),x92311)))+~P2(f317(a183,f317(f93(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92311),x92311)),a87))))
% 192.07/191.92 [9232]P2(f317(f317(f226(a1),x92321),a87))+~P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92321),x92321)),a87)),a87))
% 192.07/191.92 [9233]P2(f317(f317(f227(a1),x92331),a77))+~P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92331),x92331)),a87)),a77))
% 192.07/191.92 [9234]P2(f317(f317(f227(a1),x92341),a77))+~P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92341),x92341)),a87)),a77))
% 192.07/191.92 [9235]P2(f317(f317(f227(a1),x92351),a87))+~P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92351),x92351)),a87)),a87))
% 192.07/191.92 [9792]~P2(f317(f29(f909(a903,a903)),x97921))+P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),f178(f910(f909(a903,a903),a898))),x97921)),a64))
% 192.07/191.92 [9568]~P145(x95681)+E(f317(f317(f234(x95681),f72(x95681)),f317(f93(a903),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(x95681))
% 192.07/191.92 [9569]~P145(x95691)+E(f317(f317(f234(x95691),f2(x95691)),f317(f93(a903),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(x95691))
% 192.07/191.92 [10017]~P2(f317(f317(f227(a903),f72(a903)),x100171))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f31(a903),x100171),f317(f93(a903),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))))))
% 192.07/191.92 [10023]~P2(f317(f317(f227(a903),f2(a903)),x100231))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f31(a903),f317(f317(f74(a903),x100231),f72(a903))),f317(f93(a903),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))))))
% 192.07/191.92 [10061]~E(f41(a903,x100611,f317(f93(a903),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(a903))+P2(f317(f317(f227(a903),f2(a903)),f41(a903,x100611,f317(f93(a903),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))))))
% 192.07/191.92 [10092]E(f41(a903,x100921,f317(f93(a903),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(a903))+~P2(f317(f317(f227(a903),f2(a903)),f41(a903,x100921,f317(f93(a903),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))))))
% 192.07/191.92 [4689]~P8(x46891,x46892)+P43(x46891,x46892)
% 192.07/191.92 [4690]~P37(x46901,x46902)+P57(x46901,x46902)
% 192.07/191.92 [4691]~P44(x46911,x46912)+P57(x46911,x46912)
% 192.07/191.92 [4693]~P8(x46931,x46932)+P49(x46931,x46932)
% 192.07/191.92 [4695]~P16(x46951,x46952)+P49(x46951,x46952)
% 192.07/191.92 [4697]~P8(x46971,x46972)+P50(x46971,x46972)
% 192.07/191.92 [4699]~P16(x46991,x46992)+P50(x46991,x46992)
% 192.07/191.92 [4700]~P8(x47001,x47002)+P16(x47001,x47002)
% 192.07/191.92 [4650]~E(x46501,x46502)+E(f259(x46501,x46502),f72(a89))
% 192.07/191.92 [4653]E(f206(x46531,x46532),x46531)+~E(x46532,f2(a903))
% 192.07/191.92 [4660]~E(x46602,f103(x46601))+E(f142(x46601,x46602),f103(x46601))
% 192.07/191.92 [4679]~E(f142(x46792,x46791),f103(x46792))+E(x46791,f103(x46792))
% 192.07/191.92 [4704]~P65(x47042)+P65(f910(x47041,x47042))
% 192.07/191.92 [4705]~P66(x47052)+P66(f910(x47051,x47052))
% 192.07/191.92 [4706]~P107(x47062)+P107(f910(x47061,x47062))
% 192.07/191.92 [4707]~P109(x47072)+P109(f910(x47071,x47072))
% 192.07/191.92 [4708]~P67(x47082)+P67(f910(x47081,x47082))
% 192.07/191.92 [4709]~P96(x47092)+P96(f910(x47091,x47092))
% 192.07/191.92 [4710]~P89(x47102)+P89(f910(x47101,x47102))
% 192.07/191.92 [4711]~P99(x47112)+P98(f910(x47111,x47112))
% 192.07/191.92 [4712]~P114(x47122)+P114(f910(x47121,x47122))
% 192.07/191.92 [4713]~P99(x47132)+P100(f910(x47131,x47132))
% 192.07/191.92 [4714]~P102(x47142)+P101(f910(x47141,x47142))
% 192.07/191.92 [4715]~P102(x47152)+P102(f910(x47151,x47152))
% 192.07/191.92 [4716]~P6(x47162)+P6(f910(x47161,x47162))
% 192.07/191.92 [4717]~P103(x47172)+P103(f910(x47171,x47172))
% 192.07/191.92 [4718]~P102(x47182)+P104(f910(x47181,x47182))
% 192.07/191.92 [4719]~P99(x47192)+P99(f910(x47191,x47192))
% 192.07/191.92 [4732]E(x47321,x47322)+~E(f317(a102,x47321),f317(a102,x47322))
% 192.07/191.92 [4733]E(x47331,x47332)+~E(f317(a97,x47331),f317(a97,x47332))
% 192.07/191.92 [4734]E(x47341,x47342)+~E(f317(a5,x47341),f317(a5,x47342))
% 192.07/191.92 [4736]E(x47361,x47362)+~E(f317(a22,x47361),f317(a22,x47362))
% 192.07/191.92 [4785]P39(x47851,x47852)+~E(f660(x47852,x47851),f661(x47852,x47851))
% 192.07/191.92 [4815]~P57(x48151,x48152)+P39(x48151,f297(x48151,x48152))
% 192.07/191.92 [4816]~P51(x48161,x48162)+P51(x48161,f297(x48161,x48162))
% 192.07/191.92 [4829]~P4(x48291)+E(f41(x48291,x48292,x48292),f2(x48291))
% 192.07/191.92 [4863]~P37(x48631,x48632)+P37(f904(x48631),f136(x48631,x48632))
% 192.07/191.92 [4864]~P37(x48641,x48642)+P37(f904(x48641),f135(x48641,x48642))
% 192.07/191.92 [4865]~P38(x48651,x48652)+P38(f904(x48651),f137(x48651,x48652))
% 192.07/191.92 [4866]~P38(x48661,x48662)+P38(f904(x48661),f148(x48661,x48662))
% 192.07/191.92 [4867]~P51(x48671,x48672)+P51(f904(x48671),f148(x48671,x48672))
% 192.07/191.92 [4964]~P37(x49641,x49642)+P37(f910(x49641,a898),f308(x49641,x49642))
% 192.07/191.92 [4965]~P37(x49651,x49652)+P37(f910(x49651,a898),f309(x49651,x49652))
% 192.07/191.92 [5097]~P7(x50971)+P40(f293(a1,x50971,x50972))
% 192.07/191.92 [5200]~P37(x52001,x52002)+P59(x52001,f62(x52001,x52001,x52002))
% 192.07/191.92 [5706]~P79(x57061)+P25(x57061,x57061,f73(x57061),x57062)
% 192.07/191.92 [4674]~E(x46742,f103(x46741))+E(f317(f157(x46741),x46742),f103(x46741))
% 192.07/191.92 [4675]~E(x46752,f103(x46751))+E(f317(f158(x46751),x46752),f103(x46751))
% 192.07/191.92 [4738]E(x47381,f317(a94,x47382))+~E(f317(f90(a1),x47381),x47382)
% 192.07/191.92 [4741]E(x47411,f103(x47412))+~E(f317(f157(x47412),x47411),f103(x47412))
% 192.07/191.92 [4742]E(x47421,f103(x47422))+~E(f317(f158(x47422),x47421),f103(x47422))
% 192.07/191.92 [4754]~P93(x47541)+E(f317(f93(x47541),x47542),f317(f92(x47541),x47542))
% 192.07/191.92 [4762]~P3(x47621)+P2(f317(f29(x47621),x47622))
% 192.07/191.92 [4770]~E(f605(x47702,x47701),f103(x47701))+E(f169(x47701,x47702),f103(f904(x47701)))
% 192.07/191.92 [4779]~E(x47792,f103(x47791))+E(f317(f162(x47791),x47792),f178(f910(x47791,a898)))
% 192.07/191.92 [4780]~E(x47802,f103(x47801))+E(f178(f910(x47801,a898)),f317(f162(x47801),x47802))
% 192.07/191.92 [4782]E(x47821,x47822)+~E(f317(f90(a1),x47821),f317(f90(a1),x47822))
% 192.07/191.92 [4786]E(f204(x47861,x47862),f2(a903))+P2(f317(f29(x47861),x47862))
% 192.07/191.92 [4804]~P117(x48041)+E(f76(x48041,f76(x48041,x48042)),f76(x48041,x48042))
% 192.07/191.92 [4818]~P81(x48181)+E(f317(f317(f234(x48181),x48182),f72(a903)),x48182)
% 192.07/191.92 [4819]~P118(x48191)+E(f317(f317(f234(x48191),x48192),f72(a903)),x48192)
% 192.07/191.92 [4820]~P51(x48201,x48202)+E(f317(f276(x48201,x48201),x48202),x48202)
% 192.07/191.92 [4824]E(x48241,x48242)+E(f259(x48241,x48242),f317(f317(f74(a89),x48242),f72(a89)))
% 192.07/191.92 [4827]E(f317(f30(x48271),x48272),f2(a903))+P2(f317(f29(x48271),x48272))
% 192.07/191.92 [4830]~E(f142(x48301,x48302),x48302)+P2(f317(f127(x48301),x48302))
% 192.07/191.92 [4833]~P76(x48331)+E(f317(f317(f3(x48331),x48332),f2(x48331)),x48332)
% 192.07/191.92 [4834]~P71(x48341)+E(f317(f317(f75(x48341),x48342),f72(x48341)),x48342)
% 192.07/191.92 [4835]~P81(x48351)+E(f317(f317(f75(x48351),x48352),f72(x48351)),x48352)
% 192.07/191.92 [4836]~P118(x48361)+E(f317(f317(f75(x48361),x48362),f72(x48361)),x48362)
% 192.07/191.92 [4837]~P118(x48371)+E(f317(f317(f74(x48371),x48372),f2(x48371)),x48372)
% 192.07/191.92 [4838]~P75(x48381)+E(f317(f317(f74(x48381),x48382),f2(x48381)),x48382)
% 192.07/191.92 [4839]~P82(x48391)+E(f317(f317(f74(x48391),x48392),f2(x48391)),x48392)
% 192.07/191.92 [4840]~P122(x48401)+E(f317(f317(f281(x48401),x48402),f72(x48401)),x48402)
% 192.07/191.92 [4841]~P4(x48411)+E(f317(f317(f31(x48411),x48412),f72(x48411)),x48412)
% 192.07/191.92 [4842]~P98(x48421)+E(f317(f317(f100(x48421),x48422),f178(x48421)),x48422)
% 192.07/191.92 [4843]~P100(x48431)+E(f317(f317(f91(x48431),x48432),f232(x48431)),x48432)
% 192.07/191.92 [4844]~P118(x48441)+E(f317(f317(f234(x48441),x48442),f2(a903)),f72(x48441))
% 192.07/191.92 [4845]~P113(x48451)+E(f317(f317(f234(x48451),x48452),f2(a903)),f72(x48451))
% 192.07/191.92 [4846]~E(x48462,f178(f910(x48461,a898)))+E(f317(f30(x48461),x48462),f2(a903))
% 192.07/191.92 [4857]~P4(x48571)+E(f41(x48571,x48572,f2(x48571)),x48572)
% 192.07/191.92 [4868]~P118(x48681)+E(f317(f317(f75(x48681),x48682),f2(x48681)),f2(x48681))
% 192.07/191.92 [4869]~P133(x48691)+E(f317(f317(f75(x48691),x48692),f2(x48691)),f2(x48691))
% 192.07/191.92 [4870]~P123(x48701)+E(f317(f317(f281(x48701),x48702),f2(x48701)),f2(x48701))
% 192.07/191.92 [4871]~P4(x48711)+E(f317(f317(f31(x48711),x48712),f2(x48711)),f2(x48711))
% 192.07/191.92 [4872]~P100(x48721)+E(f317(f317(f100(x48721),x48722),f232(x48721)),f232(x48721))
% 192.07/191.92 [4873]~P98(x48731)+E(f317(f317(f91(x48731),x48732),f178(x48731)),f178(x48731))
% 192.07/191.92 [4875]~P4(x48751)+E(f41(x48751,x48752,f72(x48751)),f2(x48751))
% 192.07/191.92 [4876]~P4(x48761)+E(f41(x48761,f2(x48761),x48762),f2(x48761))
% 192.07/191.92 [4905]E(x49051,f2(a903))+E(f51(x49052,x49051,f103(x49052)),f103(f904(x49052)))
% 192.07/191.92 [4928]P51(x49281,x49282)+~E(f317(f276(x49281,x49281),x49282),x49282)
% 192.07/191.92 [4929]P37(x49291,x49292)+~E(f662(x49292,x49291),f178(f910(x49291,a898)))
% 192.07/191.92 [4930]E(x49301,f103(x49302))+~E(f317(f162(x49302),x49301),f178(f910(x49302,a898)))
% 192.07/191.92 [4931]E(x49311,f103(x49312))+~E(f178(f910(x49312,a898)),f317(f162(x49312),x49311))
% 192.07/191.92 [4934]~E(x49341,x49342)+P2(f317(f317(a314,x49341),x49342))
% 192.07/191.92 [4944]P2(x49441)+P2(f317(f317(a320,x49441),x49442))
% 192.07/191.92 [4945]E(x49451,f103(x49452))+E(f317(f317(f154(x49452),x49451),f2(a903)),f317(f131(x49452),x49451))
% 192.07/191.92 [4948]E(f142(x49481,x49482),x49482)+~P2(f317(f127(x49481),x49482))
% 192.07/191.92 [4955]~P2(x49552)+P2(f317(f317(a320,x49551),x49552))
% 192.07/191.92 [4956]~P2(x49562)+P2(f317(f317(a316,x49561),x49562))
% 192.07/191.92 [4957]~P2(x49571)+P2(f317(f317(a316,x49571),x49572))
% 192.07/191.92 [4967]~E(x49672,f178(f910(x49671,a898)))+P2(f317(f29(x49671),x49672))
% 192.07/191.92 [4968]~E(f534(x49682,x49681),f595(x49682,x49681))+P2(f317(f127(x49681),x49682))
% 192.07/191.92 [4975]E(f317(f252(x49751),x49752),f178(f910(x49751,a898)))+P2(f317(x49752,f512(x49752)))
% 192.07/191.92 [4976]E(f178(f910(x49761,a898)),f317(f252(x49761),x49762))+P2(f317(x49762,f513(x49762)))
% 192.07/191.92 [5049]~P117(x50491)+E(f317(f317(f75(x50491),x50492),f76(x50491,x50492)),f317(f70(x50491),x50492))
% 192.07/191.92 [5061]~E(x50611,f2(a1))+E(f42(x50611,x50612),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))
% 192.07/191.92 [5093]~P57(x50931,x50932)+P57(x50931,f317(f276(x50931,x50931),x50932))
% 192.07/191.92 [5094]~P38(x50941,x50942)+P38(x50941,f317(f276(x50941,x50941),x50942))
% 192.07/191.92 [5095]~P39(x50951,x50952)+P39(x50951,f317(f276(x50951,x50951),x50952))
% 192.07/191.92 [5096]~P51(x50961,x50962)+P51(x50961,f317(f276(x50961,x50961),x50962))
% 192.07/191.92 [5118]E(x51181,x51182)+~P2(f317(f317(a314,x51181),x51182))
% 192.07/191.92 [5129]P2(x51291)+~P2(f317(f317(a315,x51292),x51291))
% 192.07/191.92 [5130]P2(x51301)+~P2(f317(f317(a315,x51301),x51302))
% 192.07/191.92 [5135]~P114(x51351)+P2(f317(f317(f226(x51351),x51352),f232(x51351)))
% 192.07/191.92 [5136]~P118(x51361)+P2(f317(f317(f277(x51361),x51362),f2(x51361)))
% 192.07/191.92 [5140]E(x51401,x51402)+~E(f317(x51401,f323(x51402,x51401)),f317(x51402,f323(x51402,x51401)))
% 192.07/191.92 [5171]E(x51711,f2(a903))+E(f206(x51711,f41(a903,x51712,x51711)),f206(x51712,x51711))
% 192.07/191.92 [5176]~P108(x51761)+P14(x51761,f317(f317(f141(x51761),x51762),f103(x51761)))
% 192.07/191.92 [5178]E(x51781,f2(a1))+P2(f317(f45(x51782,x51781),f42(x51782,x51781)))
% 192.07/191.92 [5195]~P16(x51952,x51951)+P2(f317(f317(x51951,f785(x51951)),f785(x51951)))
% 192.07/191.92 [5198]~E(x51981,x51982)+P2(f317(f317(f227(a903),x51981),f317(a102,x51982)))
% 192.07/191.92 [5208]~E(x52081,f2(a903))+P2(f317(f317(f227(a903),x52081),f317(a102,x52082)))
% 192.07/191.92 [5218]P2(f317(x52181,x52182))+P2(f317(f317(f226(a1),f2(a1)),f867(x52181)))
% 192.07/191.92 [5281]P57(x52811,x52812)+~P57(x52811,f317(f276(x52811,x52811),x52812))
% 192.07/191.92 [5282]P38(x52821,x52822)+~P38(x52821,f317(f276(x52821,x52821),x52822))
% 192.07/191.92 [5283]P39(x52831,x52832)+~P39(x52831,f317(f276(x52831,x52831),x52832))
% 192.07/191.92 [5284]P51(x52841,x52842)+~P51(x52841,f317(f276(x52841,x52841),x52842))
% 192.07/191.92 [5287]~E(f41(a903,x52872,x52871),f2(a903))+E(f317(f317(f75(a903),x52871),f821(x52871,x52872)),x52872)
% 192.07/191.92 [5288]~E(f41(a1,x52882,x52881),f2(a1))+E(f317(f317(f75(a1),x52881),f822(x52881,x52882)),x52882)
% 192.07/191.92 [5315]~P2(f317(x53151,x53152))+P2(f317(f317(f226(a1),f2(a1)),f820(x53151)))
% 192.07/191.92 [5326]E(f317(f317(f3(a903),f317(a94,x53261)),f317(a94,x53262)),f317(a94,x53261))+~P2(f317(a183,x53262))
% 192.07/191.92 [5349]E(f262(x53491,x53492),f72(a89))+~P2(f317(f317(f226(a89),x53491),f72(a89)))
% 192.07/191.92 [5449]E(f317(f317(f154(x54491),x54492),f534(x54492,x54491)),f317(f317(f154(x54491),x54492),f595(x54492,x54491)))+P2(f317(f127(x54491),x54492))
% 192.07/191.92 [5493]~P2(f317(x54931,f84(x54932,x54931)))+P2(f317(x54931,f606(x54932,x54931)))
% 192.07/191.92 [5558]P59(x55581,x55582)+~P2(f317(f305(x55581,x55582),f648(x55582,x55581)))
% 192.07/191.92 [5703]~P16(x57032,x57031)+P2(f317(f317(x57031,f789(x57031,x57032)),f789(x57031,x57032)))
% 192.07/191.92 [5704]~P16(x57042,x57041)+P2(f317(f317(x57041,f792(x57041,x57042)),f792(x57041,x57042)))
% 192.07/191.92 [5713]~E(f317(a102,f41(a903,x57131,x57132)),x57132)+E(f41(a903,f317(a102,x57131),x57132),f2(a903))
% 192.07/191.92 [5768]P37(x57681,x57682)+P2(f317(f317(f319(x57681),f735(x57682,x57681)),f736(x57682,x57681)))
% 192.07/191.92 [5775]~P93(x57751)+P2(f317(f317(f319(x57751),f317(f93(x57751),x57752)),f99(x57751)))
% 192.07/191.92 [5776]~P141(x57761)+P2(f317(f317(f319(x57761),f317(f90(x57761),x57762)),f99(x57761)))
% 192.07/191.92 [5777]~P145(x57771)+P2(f317(f317(f319(x57771),f317(f90(x57771),x57772)),f176(x57771)))
% 192.07/191.92 [5778]~P141(x57781)+P2(f317(f317(f319(x57781),f317(f92(x57781),x57782)),f99(x57781)))
% 192.07/191.92 [5921]~P38(x59211,x59212)+E(f317(f317(f279(x59211,x59211,x59211),x59212),f297(x59211,x59212)),x59212)
% 192.07/191.92 [5935]E(f317(a102,f41(a903,x59351,x59352)),x59352)+E(f41(a903,f317(a102,x59351),x59352),f317(a102,f41(a903,x59351,x59352)))
% 192.07/191.92 [6367]P37(x63671,x63672)+~P2(f317(f317(f319(x63671),f545(x63672,x63671)),f306(x63671,x63672)))
% 192.07/191.92 [6406]~P110(x64061)+~P2(f317(f317(f227(x64061),f317(f90(x64061),x64062)),f2(x64061)))
% 192.07/191.92 [6407]~P85(x64071)+~P2(f317(f317(f227(x64071),f317(f70(x64071),x64072)),f2(x64071)))
% 192.07/191.92 [6497]P2(f317(f317(f227(a1),x64971),f41(a1,x64972,x64971)))+~P2(f317(f317(f227(a1),x64971),f2(a1)))
% 192.07/191.92 [6603]E(f317(f317(f299(a903),f317(a102,x66031)),f293(a903,x66032,x66031)),f293(a903,x66032,f317(a102,x66031)))+~P2(f317(f317(f226(a903),x66032),f317(a102,x66031)))
% 192.07/191.92 [6695]~P108(x66951)+P14(x66951,f140(x66951,x66951,f7(x66951),x66952))
% 192.07/191.92 [6828]E(f317(f157(x68281),x68282),x68282)+~P2(f317(f317(f226(a903),f317(f179(f904(x68281)),x68282)),f72(a903)))
% 192.07/191.92 [6850]~P85(x68501)+P2(f317(f317(f226(x68501),f317(f73(x68501),f317(f70(x68501),x68502))),f2(x68501)))
% 192.07/191.92 [6884]~P37(x68841,x68842)+P37(x68841,f317(f317(f279(x68841,x68841,x68841),x68842),f297(x68841,x68842)))
% 192.07/191.92 [6885]~P51(x68851,x68852)+P51(x68851,f317(f317(f279(x68851,x68851,x68851),x68852),f297(x68851,x68852)))
% 192.07/191.92 [7110]~P2(f317(f317(f227(a1),x71102),f2(a1)))+P2(f317(f317(f226(a1),f41(a1,x71101,x71102)),f2(a1)))
% 192.07/191.92 [7510]~P145(x75101)+E(f180(x75101,f317(f317(f9(x75101,x75101,x75101),f74(x75101)),f72(x75101)),x75102,f2(x75101)),f317(f90(x75101),x75102))
% 192.07/191.92 [7539]~P125(x75391)+~P2(f317(f317(f227(x75391),f317(f317(f75(x75391),x75392),x75392)),f2(x75391)))
% 192.07/191.92 [10183]~P117(x101831)+~P2(f317(f317(f227(x101831),f317(f317(f234(x101831),x101832),f317(f93(a903),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(x101831)))
% 192.07/191.92 [4739]~E(x47392,f103(x47391))+E(f317(f179(f904(x47391)),x47392),f2(a903))
% 192.07/191.92 [4771]~E(x47711,f2(a903))+E(f317(f317(f74(a903),x47711),x47712),x47712)
% 192.07/191.92 [4772]~E(x47722,f2(a903))+E(f317(f317(f75(a903),x47721),x47722),f2(a903))
% 192.07/191.92 [4774]~E(x47741,f2(a903))+E(f317(f317(f75(a903),x47741),x47742),f2(a903))
% 192.07/191.92 [4775]~E(x47752,f2(a1))+E(f317(f317(f31(a1),x47751),x47752),f2(a1))
% 192.07/191.92 [4776]~E(x47762,f2(a903))+E(f317(f317(f234(a903),x47761),x47762),f72(a903))
% 192.07/191.92 [4787]E(x47871,f103(x47872))+~E(f317(f179(f904(x47872)),x47871),f2(a903))
% 192.07/191.92 [4789]~P97(x47891)+E(f317(f317(f75(x47891),x47892),x47892),x47892)
% 192.07/191.92 [4791]~P101(x47911)+E(f317(f317(f100(x47911),x47912),x47912),x47912)
% 192.07/191.92 [4792]~P102(x47921)+E(f317(f317(f100(x47921),x47922),x47922),x47922)
% 192.07/191.92 [4793]~P102(x47931)+E(f317(f317(f91(x47931),x47932),x47932),x47932)
% 192.07/191.92 [4795]~P104(x47951)+E(f317(f317(f91(x47951),x47952),x47952),x47952)
% 192.07/191.92 [4797]~P108(x47971)+E(f317(f317(f224(x47971),x47972),x47972),x47972)
% 192.07/191.92 [4799]~P108(x47991)+E(f317(f317(f225(x47991),x47992),x47992),x47992)
% 192.07/191.92 [4817]~P76(x48171)+E(f317(f317(f3(x48171),x48172),x48172),f2(x48171))
% 192.07/191.92 [4831]~P76(x48311)+E(f317(f73(x48311),f317(f73(x48311),x48312)),x48312)
% 192.07/191.92 [4832]~P96(x48321)+E(f317(f73(x48321),f317(f73(x48321),x48322)),x48322)
% 192.07/191.92 [4849]~E(x48492,f2(a903))+E(f317(f317(f234(a903),x48491),x48492),f317(a102,f2(a903)))
% 192.07/191.92 [4884]~P71(x48841)+E(f317(f317(f75(x48841),f72(x48841)),x48842),x48842)
% 192.07/191.92 [4885]~P81(x48851)+E(f317(f317(f75(x48851),f72(x48851)),x48852),x48852)
% 192.07/191.92 [4886]~P118(x48861)+E(f317(f317(f75(x48861),f72(x48861)),x48862),x48862)
% 192.07/191.92 [4887]~P118(x48871)+E(f317(f317(f74(x48871),f2(x48871)),x48872),x48872)
% 192.07/191.92 [4888]~P75(x48881)+E(f317(f317(f74(x48881),f2(x48881)),x48882),x48882)
% 192.07/191.92 [4889]~P82(x48891)+E(f317(f317(f74(x48891),f2(x48891)),x48892),x48892)
% 192.07/191.92 [4890]~P98(x48901)+E(f317(f317(f100(x48901),f178(x48901)),x48902),x48902)
% 192.07/191.92 [4891]~P100(x48911)+E(f317(f317(f91(x48911),f232(x48911)),x48912),x48912)
% 192.07/191.92 [4909]~P118(x49091)+E(f317(f317(f75(x49091),f2(x49091)),x49092),f2(x49091))
% 192.07/191.92 [4910]~P133(x49101)+E(f317(f317(f75(x49101),f2(x49101)),x49102),f2(x49101))
% 192.07/191.92 [4911]~P122(x49111)+E(f317(f317(f281(x49111),f2(x49111)),x49112),f2(x49111))
% 192.07/191.92 [4912]~P4(x49121)+E(f317(f317(f31(x49121),f2(x49121)),x49122),f2(x49121))
% 192.07/191.92 [4913]~P81(x49131)+E(f317(f317(f234(x49131),f72(x49131)),x49132),f72(x49131))
% 192.07/191.92 [4914]~P100(x49141)+E(f317(f317(f100(x49141),f232(x49141)),x49142),f232(x49141))
% 192.07/191.92 [4915]~P98(x49151)+E(f317(f317(f91(x49151),f178(x49151)),x49152),f178(x49151))
% 192.07/191.92 [4923]E(x49231,f103(x49232))+E(f134(x49232,f317(f158(x49232),x49231)),f317(f131(x49232),x49231))
% 192.07/191.92 [4924]E(x49241,f103(x49242))+E(f317(f131(x49242),f317(f158(x49242),x49241)),f134(x49242,x49241))
% 192.07/191.92 [4925]E(x49251,f2(a903))+~E(f317(f317(f74(a903),x49252),x49251),x49252)
% 192.07/191.92 [4932]~P93(x49321)+E(f317(f92(x49321),f317(f93(a1),x49322)),f317(f93(x49321),x49322))
% 192.07/191.92 [4933]~P141(x49331)+E(f317(f92(x49331),f317(f90(a1),x49332)),f317(f90(x49331),x49332))
% 192.07/191.92 [4940]E(x49401,f72(a903))+~E(f317(f317(f75(a903),x49402),x49401),f72(a903))
% 192.07/191.92 [4941]E(x49411,f72(a903))+~E(f317(f317(f75(a903),x49411),x49412),f72(a903))
% 192.07/191.92 [4942]E(x49421,f2(a903))+~E(f317(f317(f74(a903),x49422),x49421),f2(a903))
% 192.07/191.92 [4943]E(x49431,f2(a903))+~E(f317(f317(f74(a903),x49431),x49432),f2(a903))
% 192.07/191.92 [4960]~P117(x49601)+E(f317(f70(x49601),f317(f90(x49601),x49602)),f317(f90(x49601),x49602))
% 192.07/191.92 [4961]~P85(x49611)+E(f317(f70(x49611),f317(f70(x49611),x49612)),f317(f70(x49611),x49612))
% 192.07/191.92 [4962]~P85(x49621)+E(f317(f70(x49621),f317(f73(x49621),x49622)),f317(f70(x49621),x49622))
% 192.07/191.92 [4963]~P75(x49631)+E(f317(f155(x49631),f317(f158(x49631),x49632)),f317(f155(x49631),x49632))
% 192.07/191.92 [4969]~E(x49691,f317(a102,f2(a903)))+E(f317(f317(f234(a903),x49691),x49692),f317(a102,f2(a903)))
% 192.07/191.92 [4978]~P76(x49781)+E(f317(f317(f3(x49781),f2(x49781)),x49782),f317(f73(x49781),x49782))
% 192.07/191.92 [4979]~E(x49792,f2(a903))+E(f129(a903,f317(f292(a903,x49791),x49792)),f103(a903))
% 192.07/191.92 [4988]~P93(x49881)+E(f317(f317(f74(x49881),x49882),f317(f93(x49881),a77)),x49882)
% 192.07/191.92 [4989]E(x49891,f2(a1))+E(f43(f317(f70(a1),x49892),f317(f70(a1),x49891)),f49(x49892,x49891))
% 192.07/191.92 [5005]~E(x50051,x50052)+P2(f317(f317(f226(a903),x50051),x50052))
% 192.07/191.92 [5009]~E(x50091,x50092)+P2(f317(f317(f277(a903),x50091),x50092))
% 192.07/191.92 [5016]~E(x50161,f2(a89))+E(f317(f317(f74(a903),f317(a22,x50161)),x50162),x50162)
% 192.07/191.92 [5030]~P7(x50301)+P7(f317(f317(f234(a1),x50301),x50302))
% 192.07/191.92 [5031]~P76(x50311)+E(f317(f317(f74(x50311),x50312),f317(f73(x50311),x50312)),f2(x50311))
% 192.07/191.92 [5032]~P96(x50321)+E(f317(f317(f100(x50321),x50322),f317(f73(x50321),x50322)),f232(x50321))
% 192.07/191.92 [5033]~P96(x50331)+E(f317(f317(f91(x50331),x50332),f317(f73(x50331),x50332)),f178(x50331))
% 192.07/191.92 [5058]E(x50581,f2(a903))+~E(f317(f73(a1),f317(f90(a1),x50582)),f317(f90(a1),x50581))
% 192.07/191.92 [5059]E(x50591,f2(a903))+~E(f317(f73(a1),f317(f90(a1),x50591)),f317(f90(a1),x50592))
% 192.07/191.92 [5069]E(f184(x50691,x50692),f2(a1))+P2(f317(f317(f226(a1),x50692),x50691))
% 192.07/191.92 [5070]E(f168(x50701,x50702),f103(a1))+P2(f317(f317(f226(a1),x50701),x50702))
% 192.07/191.92 [5071]E(f231(x50711,x50712),f2(a89))+P2(f317(f317(f227(a89),x50711),x50712))
% 192.07/191.92 [5084]E(x50841,f317(a102,f2(a903)))+~E(f317(f317(f75(a903),x50842),x50841),f317(a102,f2(a903)))
% 192.07/191.92 [5085]E(x50851,f317(a102,f2(a903)))+~E(f317(f317(f75(a903),x50851),x50852),f317(a102,f2(a903)))
% 192.07/191.92 [5086]~P65(x50861)+P2(f317(f317(f226(x50861),x50862),x50862))
% 192.07/191.92 [5087]~P118(x50871)+P2(f317(f317(f277(x50871),x50872),x50872))
% 192.07/191.92 [5090]~P93(x50901)+E(f317(f317(f75(x50901),x50902),f317(f93(x50901),a87)),f317(f73(x50901),x50902))
% 192.07/191.92 [5110]~P93(x51101)+E(f317(f73(x51101),f317(f93(x51101),x51102)),f317(f93(x51101),f317(f73(a1),x51102)))
% 192.07/191.92 [5111]~P141(x51111)+E(f317(f73(x51111),f317(f92(x51111),x51112)),f317(f92(x51111),f317(f73(a1),x51112)))
% 192.07/191.92 [5141]~E(x51411,f317(a102,x51412))+P2(f317(f317(f227(a903),f2(a903)),x51411))
% 192.07/191.92 [5159]~P108(x51591)+E(f317(f73(f910(x51591,a898)),f317(f291(x51591),x51592)),f317(f294(x51591),x51592))
% 192.07/191.92 [5160]~P108(x51601)+E(f317(f73(f910(x51601,a898)),f317(f272(x51601),x51602)),f317(f273(x51601),x51602))
% 192.07/191.92 [5161]~P108(x51611)+E(f317(f73(f910(x51611,a898)),f317(f294(x51611),x51612)),f317(f291(x51611),x51612))
% 192.07/191.92 [5162]~P108(x51621)+E(f317(f73(f910(x51621,a898)),f317(f273(x51621),x51622)),f317(f272(x51621),x51622))
% 192.07/191.92 [5170]~E(f317(f90(a1),x51702),x51701)+P2(f317(f317(f226(a1),f2(a1)),x51701))
% 192.07/191.92 [5177]~E(x51772,f2(a1))+E(f49(x51771,x51772),f317(f317(f242(a1,a1),f2(a1)),f317(f70(a1),x51771)))
% 192.07/191.92 [5179]~P66(x51791)+P2(f317(f317(f226(x51791),f178(x51791)),x51792))
% 192.07/191.92 [5180]~P118(x51801)+P2(f317(f317(f277(x51801),f72(x51801)),x51802))
% 192.07/191.92 [5213]E(x52131,x52132)+~E(f317(f317(f74(a1),x52131),x52131),f317(f317(f74(a1),x52132),x52132))
% 192.07/191.92 [5217]~P2(f317(x52171,x52172))+P2(f317(x52171,f317(a94,f820(x52171))))
% 192.07/191.92 [5243]~P117(x52431)+E(f317(f317(f75(x52431),f76(x52431,x52432)),f317(f70(x52431),x52432)),x52432)
% 192.07/191.92 [5250]~E(x52502,f2(a903))+E(f79(f909(a903,a903),f44(x52501,x52502)),f317(f317(f242(a903,a903),f2(a903)),x52501))
% 192.07/191.92 [5255]~E(x52551,x52552)+~P2(f317(f317(f227(a903),x52551),x52552))
% 192.07/191.92 [5256]~E(x52561,x52562)+~P2(f317(f317(f227(a1),x52561),x52562))
% 192.07/191.92 [5259]~P145(x52591)+E(f317(f317(f74(x52591),f72(x52591)),f317(f90(x52591),x52592)),f317(f90(x52591),f317(a102,x52592)))
% 192.07/191.92 [5263]~E(x52631,f2(a903))+~P2(f317(f317(f227(a903),x52632),x52631))
% 192.07/191.92 [5277]E(f142(x52771,x52772),x52772)+~E(f317(f179(f904(x52771)),f142(x52771,x52772)),f317(f179(f904(x52771)),x52772))
% 192.07/191.92 [5278]E(f317(f30(x52781),f317(f162(x52781),x52782)),f317(f179(f904(x52781)),x52782))+~P2(f317(f127(x52781),x52782))
% 192.07/191.92 [5292]~P2(f317(x52921,f823(x52921)))+P2(f317(x52921,f317(f90(a1),x52922)))
% 192.07/191.92 [5303]E(f231(x53031,x53032),x53032)+~P2(f317(f317(f227(a89),x53031),x53032))
% 192.07/191.92 [5305]E(f262(x53051,x53052),f72(a89))+~P2(f317(f317(f227(a89),x53052),x53051))
% 192.07/191.92 [5306]E(f168(x53061,x53062),f103(a1))+~P2(f317(f317(f227(a1),x53062),x53061))
% 192.07/191.92 [5307]E(f118(x53071,x53072),f105(a1))+~P2(f317(f317(f227(a1),x53071),x53072))
% 192.07/191.92 [5309]~P109(x53091)+E(f293(x53091,x53092,x53092),f317(f317(f299(x53091),x53092),f178(f910(x53091,a898))))
% 192.07/191.92 [5329]~E(f317(f317(f3(a903),x53291),x53292),f2(a903))+P2(f317(f317(f226(a903),x53291),x53292))
% 192.07/191.92 [5346]~E(x53462,f2(a903))+E(f51(x53461,x53462,f103(x53461)),f317(f317(f141(f904(x53461)),f103(x53461)),f103(f904(x53461))))
% 192.07/191.92 [5350]~P65(x53501)+~P2(f317(f317(f227(x53501),x53502),x53502))
% 192.07/191.92 [5352]~E(f41(a1,x53521,x53522),f2(a1))+E(f41(a1,x53521,f317(f73(a1),x53522)),f2(a1))
% 192.07/191.92 [5354]~E(f41(a1,x53541,x53542),f2(a1))+E(f41(a1,f317(f73(a1),x53541),x53542),f2(a1))
% 192.07/191.92 [5362]E(f317(f292(a903,x53621),f317(a102,x53622)),f178(f910(a903,a898)))+P2(f317(f317(f226(a903),x53621),x53622))
% 192.07/191.92 [5386]E(f129(a903,f317(f292(a903,x53861),x53862)),f103(a903))+P2(f317(f317(f227(a903),x53861),x53862))
% 192.07/191.92 [5392]~E(f317(f30(x53921),f317(f162(x53921),x53922)),f317(f179(f904(x53921)),x53922))+P2(f317(f127(x53921),x53922))
% 192.07/191.92 [5396]~P2(f317(f127(x53961),x53962))+P2(f317(f127(x53961),f317(f157(x53961),x53962)))
% 192.07/191.92 [5397]~P2(f317(f127(x53971),x53972))+P2(f317(f127(x53971),f317(f161(x53971),x53972)))
% 192.07/191.92 [5398]~P2(f317(f127(x53981),x53982))+P2(f317(f127(x53981),f317(f158(x53981),x53982)))
% 192.07/191.92 [5406]P2(f317(x54061,x54062))+~P2(f317(x54061,f317(a94,f867(x54061))))
% 192.07/191.92 [5407]P2(f317(f317(f226(a903),x54072),x54071))+P2(f317(f317(f226(a903),x54071),x54072))
% 192.07/191.92 [5408]P2(f317(f317(f226(a1),x54082),x54081))+P2(f317(f317(f226(a1),x54081),x54082))
% 192.07/191.92 [5413]~P85(x54131)+P2(f317(f317(f226(x54131),x54132),f317(f70(x54131),x54132)))
% 192.07/191.92 [5416]P2(f317(x54161,f824(x54161)))+~P2(f317(x54161,f317(f90(a1),x54162)))
% 192.07/191.92 [5441]E(f317(f317(f3(a903),x54411),x54412),f2(a903))+~P2(f317(f317(f226(a903),x54411),x54412))
% 192.07/191.92 [5442]E(f317(f317(f31(a903),x54421),x54422),f2(a903))+~P2(f317(f317(f227(a903),x54421),x54422))
% 192.07/191.92 [5461]E(f41(a903,x54611,x54612),x54611)+~P2(f317(f317(f227(a903),x54611),x54612))
% 192.07/191.92 [5469]E(f41(a1,x54691,f317(f73(a1),x54692)),f282(x54691,x54692))+P2(f317(f317(f226(a1),f2(a1)),x54692))
% 192.07/191.92 [5482]E(f317(f317(f3(a1),x54821),x54822),f184(x54821,x54822))+~P2(f317(f317(f226(a1),x54822),x54821))
% 192.07/191.92 [5502]P2(f317(f317(f226(a1),f2(a1)),f823(x55021)))+P2(f317(x55021,f317(f90(a1),x55022)))
% 192.07/191.92 [5515]~P110(x55151)+P2(f317(f317(f226(x55151),f2(x55151)),f317(f90(x55151),x55152)))
% 192.07/191.92 [5516]~P85(x55161)+P2(f317(f317(f226(x55161),f2(x55161)),f317(f70(x55161),x55162)))
% 192.07/191.92 [5544]E(f317(f317(f74(a903),x55441),f695(x55442,x55441)),x55442)+~P2(f317(f317(f226(a903),x55441),x55442))
% 192.07/191.92 [5559]E(f293(a1,x55591,x55592),f178(f910(a1,a898)))+~P2(f317(f317(f227(a1),x55592),x55591))
% 192.07/191.92 [5561]~P117(x55611)+E(f317(f317(f75(x55611),f317(f70(x55611),x55612)),f317(f70(x55611),x55612)),f317(f317(f75(x55611),x55612),x55612))
% 192.07/191.92 [5568]E(f129(a903,f317(f292(a903,x55681),f317(a102,x55682))),f103(a903))+P2(f317(f317(f226(a903),x55681),x55682))
% 192.07/191.92 [5571]E(f317(f317(f31(a1),x55711),x55712),f283(x55711,x55712))+~P2(f317(f317(f226(a1),f2(a1)),x55712))
% 192.07/191.92 [5591]P2(f317(f127(x55911),x55912))+~P2(f317(f127(x55911),f317(f157(x55911),x55912)))
% 192.07/191.92 [5592]P2(f317(f127(x55921),x55922))+~P2(f317(f127(x55921),f317(f158(x55921),x55922)))
% 192.07/191.92 [5619]P2(f317(f29(a903),x56191))+P2(f317(f317(f319(a903),f698(x56191,x56192)),x56191))
% 192.07/191.92 [5620]P2(f317(f29(a903),x56201))+P2(f317(f317(f319(a903),f711(x56201,x56202)),x56201))
% 192.07/191.92 [5623]P2(f317(f317(f227(a903),x56232),f317(a102,x56231)))+P2(f317(f317(f227(a903),x56231),x56232))
% 192.07/191.92 [5624]E(f41(a1,x56241,x56242),f282(x56241,x56242))+~P2(f317(f317(f226(a1),f2(a1)),x56242))
% 192.07/191.92 [5627]E(f129(a903,f317(f292(a903,x56271),x56272)),f103(a903))+~P2(f317(f317(f226(a903),x56272),x56271))
% 192.07/191.92 [5628]~P79(x56281)+E(f317(f300(x56281,x56281,f73(x56281)),f317(f291(x56281),x56282)),f317(f273(x56281),f317(f73(x56281),x56282)))
% 192.07/191.92 [5629]~P79(x56291)+E(f317(f300(x56291,x56291,f73(x56291)),f317(f272(x56291),x56292)),f317(f294(x56291),f317(f73(x56291),x56292)))
% 192.07/191.92 [5630]~P79(x56301)+E(f317(f300(x56301,x56301,f73(x56301)),f317(f294(x56301),x56302)),f317(f272(x56301),f317(f73(x56301),x56302)))
% 192.07/191.92 [5631]~P79(x56311)+E(f317(f300(x56311,x56311,f73(x56311)),f317(f273(x56311),x56312)),f317(f291(x56311),f317(f73(x56311),x56312)))
% 192.07/191.92 [5642]E(x56421,f178(f910(x56422,a898)))+P2(f317(f317(f319(x56422),f857(x56421,x56422)),x56421))
% 192.07/191.92 [5643]E(x56431,f178(f910(x56432,a898)))+P2(f317(f317(f319(x56432),f864(x56431,x56432)),x56431))
% 192.07/191.92 [5654]~P2(f317(f317(f227(a903),x56541),x56542))+P2(f317(f317(f226(a903),x56541),x56542))
% 192.07/191.92 [5655]~P2(f317(f317(f227(a1),x56551),x56552))+P2(f317(f317(f226(a1),x56551),x56552))
% 192.07/191.92 [5671]E(f43(x56711,x56712),f317(f317(f242(a1,a1),f2(a1)),x56711))+~P2(f317(f317(f227(a1),x56711),x56712))
% 192.07/191.92 [5673]E(f205(f317(f73(a1),x56731),f317(f73(a1),x56732)),f205(x56731,x56732))+~P2(f317(f317(f227(a1),x56732),f2(a1)))
% 192.07/191.92 [5685]E(x56851,x56852)+~E(f317(a5,f317(a102,f317(a22,x56851))),f317(a5,f317(a102,f317(a22,x56852))))
% 192.07/191.92 [5690]E(f43(x56901,x56902),f317(f317(f242(a1,a1),f2(a1)),x56901))+~P2(f317(f317(f226(a1),x56902),f2(a1)))
% 192.07/191.92 [5719]E(f41(a903,f317(f93(a903),x57191),f317(f93(a903),x57192)),f2(a903))+~P2(f317(a183,f317(f93(a1),x57191)))
% 192.07/191.92 [5733]P2(f317(f317(f226(a1),f2(a1)),f824(x57331)))+~P2(f317(x57331,f317(f90(a1),x57332)))
% 192.07/191.92 [5766]P40(f293(a1,x57661,x57662))+~P2(f317(f317(f226(a1),f2(a1)),x57661))
% 192.07/191.92 [5771]~P2(f317(f29(x57711),x57712))+P2(f317(f29(f910(x57711,a898)),f317(f298(x57711),x57712)))
% 192.07/191.92 [5784]E(f317(f317(f74(a1),x57841),f317(f90(a1),f859(x57842,x57841))),x57842)+~P2(f317(f317(f226(a1),x57841),x57842))
% 192.07/191.92 [5792]P2(f317(f317(f226(a903),x57921),x57922))+P2(f317(f317(f226(a903),f317(a102,x57922)),x57921))
% 192.07/191.92 [5836]E(f317(f317(f31(a903),f317(f93(a903),x58361)),f317(f93(a903),x58362)),f2(a903))+~P2(f317(a183,f317(f93(a1),x58361)))
% 192.07/191.92 [5837]E(f317(f317(f75(a903),f317(f93(a903),x58371)),f317(f93(a903),x58372)),f2(a903))+~P2(f317(f317(f227(a1),x58371),a77))
% 192.07/191.92 [5839]P2(f317(f317(f226(a903),x58391),f317(a102,x58392)))+~P2(f317(f317(f226(a903),x58391),x58392))
% 192.07/191.92 [5841]P2(f317(f317(f227(a903),x58411),f317(a102,x58412)))+~P2(f317(f317(f226(a903),x58411),x58412))
% 192.07/191.92 [5843]P2(f317(f317(f227(a903),x58431),f317(a102,x58432)))+~P2(f317(f317(f227(a903),x58431),x58432))
% 192.07/191.92 [5846]~E(x58461,x58462)+P2(f317(f317(f227(a1),x58461),f317(f317(f74(a1),x58462),f72(a1))))
% 192.07/191.92 [5849]E(f41(a1,x58491,x58492),f2(a1))+E(f317(f317(f3(a1),x58492),f41(a1,x58491,x58492)),f41(a1,f317(f73(a1),x58491),x58492))
% 192.07/191.92 [5858]E(x58581,f103(x58582))+P2(f317(f317(f319(x58582),f134(x58582,x58581)),f317(f162(x58582),x58581)))
% 192.07/191.92 [5870]E(f79(f909(a903,a903),f44(x58701,x58702)),f317(f317(f242(a903,a903),f2(a903)),x58701))+~P2(f317(f317(f227(a903),x58701),x58702))
% 192.07/191.92 [5914]E(f317(f317(f3(a903),f317(f93(a903),x59141)),f317(f93(a903),x59142)),f317(f93(a903),x59141))+~P2(f317(f317(f227(a1),x59142),a77))
% 192.07/191.92 [5915]E(f317(f317(f74(a903),f317(f93(a903),x59151)),f317(f93(a903),x59152)),f317(f93(a903),x59152))+~P2(f317(f317(f227(a1),x59151),a77))
% 192.07/191.92 [5922]E(f317(a102,f317(f317(f74(a903),x59221),f737(x59222,x59221))),x59222)+~P2(f317(f317(f227(a903),x59221),x59222))
% 192.07/191.92 [5946]P2(f317(x59461,x59462))+~P2(f317(x59461,f317(a83,f657(x59462,x59461))))
% 192.07/191.92 [5947]P2(f317(x59471,x59472))+~P2(f317(x59471,f317(a5,f802(x59472,x59471))))
% 192.07/191.92 [5956]~P2(f317(f317(f227(a903),x59561),f317(a102,x59562)))+P2(f317(f317(f226(a903),x59561),x59562))
% 192.07/191.92 [6006]E(f317(f317(f299(a903),x60061),f317(f292(a903,x60062),x60061)),f317(f292(a903,x60062),f317(a102,x60061)))+~P2(f317(f317(f226(a903),x60062),x60061))
% 192.07/191.92 [6009]E(x60091,f103(x60092))+E(f317(f317(f124(x60092),f104(x60092,x60091)),f317(f317(f141(x60092),f134(x60092,x60091)),f103(x60092))),x60091)
% 192.07/191.92 [6026]P2(f317(f29(x60261),x60262))+~P2(f317(f317(f227(a903),f2(a903)),f317(f30(x60261),x60262)))
% 192.07/191.92 [6030]~E(x60301,f178(f910(x60302,a898)))+~P2(f317(f317(f227(a903),f2(a903)),f317(f30(x60302),x60301)))
% 192.07/191.92 [6042]~P2(f317(f317(f227(a903),x60421),x60422))+P2(f317(f317(f226(a903),f317(a102,x60421)),x60422))
% 192.07/191.92 [6046]~P108(x60461)+E(f140(x60461,x60461,f7(x60461),f142(x60461,x60462)),f129(x60461,f317(f162(x60461),x60462)))
% 192.07/191.92 [6049]E(x60491,f103(x60492))+P2(f317(f317(f319(x60492),f317(f131(x60492),x60491)),f317(f162(x60492),x60491)))
% 192.07/191.92 [6055]~P110(x60551)+P2(f317(f317(f227(x60551),x60552),f317(f317(f74(x60551),x60552),f72(x60551))))
% 192.07/191.92 [6057]~P85(x60571)+P2(f317(f317(f226(x60571),f317(f73(x60571),x60572)),f317(f70(x60571),x60572)))
% 192.07/191.92 [6071]~E(x60711,x60712)+E(f280(a903,f277(a903),x60711,x60712),f317(f317(f299(a903),x60711),f178(f910(a903,a898))))
% 192.07/191.92 [6089]P2(f317(f29(a903),x60891))+~P2(f317(f317(f226(a903),f698(x60891,x60892)),x60892))
% 192.07/191.92 [6090]P2(f317(f29(a903),x60901))+~P2(f317(f317(f227(a903),f711(x60901,x60902)),x60902))
% 192.07/191.92 [6093]~P2(f317(f29(f909(x60931,x60931)),x60932))+P2(f317(f29(x60931),f317(f271(x60931),x60932)))
% 192.07/191.92 [6149]E(f280(a903,f277(a903),x61491,x61492),f178(f910(a903,a898)))+P2(f317(f317(f277(a903),x61491),x61492))
% 192.07/191.92 [6152]~P2(f317(f317(f227(a903),x61522),f317(a102,x61521)))+~P2(f317(f317(f227(a903),x61521),x61522))
% 192.07/191.92 [6153]~P109(x61531)+E(f317(f317(f91(f910(x61531,a898)),f317(f291(x61531),x61532)),f317(f273(x61531),x61532)),f317(f317(f299(x61531),x61532),f178(f910(x61531,a898))))
% 192.07/191.92 [6165]P2(f317(f29(x61651),x61652))+~P2(f317(f29(f910(x61651,a898)),f317(f298(x61651),x61652)))
% 192.07/191.92 [6187]P2(f317(f317(f226(a903),f317(a102,x61871)),f317(a102,x61872)))+~P2(f317(f317(f226(a903),x61871),x61872))
% 192.07/191.92 [6188]P2(f317(f317(f226(a903),f317(a22,x61881)),f317(a22,x61882)))+~P2(f317(f317(f226(a89),x61881),x61882))
% 192.07/191.92 [6189]P2(f317(f317(f226(a89),f317(a5,x61891)),f317(a5,x61892)))+~P2(f317(f317(f226(a903),x61891),x61892))
% 192.07/191.92 [6191]P2(f317(f317(f227(a903),f317(a102,x61911)),f317(a102,x61912)))+~P2(f317(f317(f227(a903),x61911),x61912))
% 192.07/191.92 [6192]P2(f317(f317(f227(a903),f317(a22,x61921)),f317(a22,x61922)))+~P2(f317(f317(f227(a89),x61921),x61922))
% 192.07/191.92 [6193]P2(f317(f317(f227(a89),f317(a5,x61931)),f317(a5,x61932)))+~P2(f317(f317(f227(a903),x61931),x61932))
% 192.07/191.92 [6198]E(x61981,x61982)+~E(f317(f300(a903,a1,f90(a1)),x61981),f317(f300(a903,a1,f90(a1)),x61982))
% 192.07/191.92 [6214]P2(f317(f317(f226(a903),x62141),x62142))+~P2(f317(f317(f226(a903),f317(a102,x62141)),x62142))
% 192.07/191.92 [6217]P2(f317(f317(f227(a903),x62171),x62172))+~P2(f317(f317(f226(a903),f317(a102,x62171)),x62172))
% 192.07/191.92 [6218]P2(f317(f317(f227(a903),x62181),x62182))+~P2(f317(f317(f227(a903),f317(a102,x62181)),x62182))
% 192.07/191.92 [6238]E(f41(a1,x62381,x62382),f2(a1))+E(f317(f317(f3(a1),f41(a1,x62381,x62382)),x62382),f41(a1,x62381,f317(f73(a1),x62382)))
% 192.07/191.92 [6306]E(f317(f30(f910(x63061,a898)),f317(f298(x63061),x63062)),f317(f317(f234(a903),f317(a102,f317(a102,f2(a903)))),f317(f30(x63061),x63062)))+~P2(f317(f29(x63061),x63062))
% 192.07/191.92 [6309]E(x63091,f103(x63092))+E(f317(f317(f154(x63092),x63091),f317(f317(f3(a903),f317(f179(f904(x63092)),x63091)),f72(a903))),f134(x63092,x63091))
% 192.07/191.92 [6331]E(x63311,f103(x63312))+E(f317(f317(f124(x63312),f317(f161(x63312),x63311)),f317(f317(f141(x63312),f317(f131(x63312),x63311)),f103(x63312))),f317(f157(x63312),x63311))
% 192.07/191.92 [6364]~P2(f317(f29(x63641),f32(f910(x63641,a898),x63642)))+P2(f317(f29(f910(x63641,a898)),x63642))
% 192.07/191.92 [6386]P2(f317(f317(f226(a903),f317(f93(a903),x63861)),f317(f93(a903),x63862)))+~P2(f317(f317(f226(a1),x63861),a77))
% 192.07/191.92 [6410]~P2(f317(f317(f227(a1),x64101),x64102))+P2(f317(f317(f226(a1),x64101),f317(f317(f3(a1),x64102),f72(a1))))
% 192.07/191.92 [6411]~P2(f317(f317(f226(a1),x64111),x64112))+P2(f317(f317(f227(a1),x64111),f317(f317(f74(a1),x64112),f72(a1))))
% 192.07/191.92 [6412]~P2(f317(f317(f227(a1),x64121),x64122))+P2(f317(f317(f227(a1),x64121),f317(f317(f74(a1),x64122),f72(a1))))
% 192.07/191.92 [6414]~P2(f317(f317(f226(a1),x64141),x64142))+P2(f317(f317(f226(a903),f317(f93(a903),x64141)),f317(f93(a903),x64142)))
% 192.07/191.92 [6415]~P2(f317(f317(f226(a1),x64151),x64152))+P2(f317(f317(f226(a1),f317(f93(a1),x64151)),f317(f93(a1),x64152)))
% 192.07/191.92 [6417]~P2(f317(f317(f226(a903),x64171),x64172))+P2(f317(f317(f226(a1),f317(f90(a1),x64171)),f317(f90(a1),x64172)))
% 192.07/191.92 [6418]~P2(f317(f317(f227(a1),x64181),x64182))+P2(f317(f317(f227(a1),f317(f93(a1),x64181)),f317(f93(a1),x64182)))
% 192.07/191.92 [6420]~P2(f317(f317(f227(a903),x64201),x64202))+P2(f317(f317(f227(a1),f317(f90(a1),x64201)),f317(f90(a1),x64202)))
% 192.07/191.92 [6440]~P2(f317(f317(f226(a903),x64401),x64402))+~P2(f317(f317(f226(a903),f317(a102,x64402)),x64401))
% 192.07/191.92 [6483]~P2(f317(f317(f226(a903),f317(a102,x64831)),f317(a102,x64832)))+P2(f317(f317(f226(a903),x64831),x64832))
% 192.07/191.92 [6484]~P2(f317(f317(f226(a89),f317(a5,x64841)),f317(a5,x64842)))+P2(f317(f317(f226(a903),x64841),x64842))
% 192.07/191.92 [6485]~P2(f317(f317(f226(a903),f317(a22,x64851)),f317(a22,x64852)))+P2(f317(f317(f226(a89),x64851),x64852))
% 192.07/191.92 [6487]~P2(f317(f317(f227(a903),f317(a102,x64871)),f317(a102,x64872)))+P2(f317(f317(f227(a903),x64871),x64872))
% 192.07/191.92 [6488]~P2(f317(f317(f227(a89),f317(a5,x64881)),f317(a5,x64882)))+P2(f317(f317(f227(a903),x64881),x64882))
% 192.07/191.92 [6489]~P2(f317(f317(f227(a903),f317(a94,x64891)),f317(a94,x64892)))+P2(f317(f317(f227(a1),x64891),x64892))
% 192.07/191.92 [6490]~P2(f317(f317(f227(a903),f317(a22,x64901)),f317(a22,x64902)))+P2(f317(f317(f227(a89),x64901),x64902))
% 192.07/191.92 [6532]~P2(f317(f317(f227(a903),f317(a94,x65322)),f317(a94,x65321)))+P2(f317(f317(f227(a1),f2(a1)),x65321))
% 192.07/191.92 [6563]P2(f317(f317(f226(a1),f2(a1)),f41(a1,x65631,x65632)))+~P2(f317(f317(f227(a1),f2(a1)),x65632))
% 192.07/191.92 [6729]P37(x67291,x67292)+~E(f317(f317(f279(x67291,x67291,x67291),x67292),x67292),f178(f910(f909(x67291,x67291),a898)))
% 192.07/191.92 [6745]~P37(x67451,x67452)+P37(x67451,f317(f317(f279(x67451,x67451,x67451),x67452),x67452))
% 192.07/191.92 [6756]P2(f317(f317(f226(a1),x67561),x67562))+~P2(f317(f317(f227(a1),x67561),f317(f317(f74(a1),x67562),f72(a1))))
% 192.07/191.92 [6757]P2(f317(f317(f227(a1),x67571),x67572))+~P2(f317(f317(f226(a1),x67571),f317(f317(f3(a1),x67572),f72(a1))))
% 192.07/191.92 [6760]P2(f317(f317(f226(a903),x67601),x67602))+~P2(f317(f317(f226(a1),f317(f90(a1),x67601)),f317(f90(a1),x67602)))
% 192.07/191.92 [6761]P2(f317(f317(f226(a1),x67611),x67612))+~P2(f317(f317(f226(a1),f317(f93(a1),x67611)),f317(f93(a1),x67612)))
% 192.07/191.92 [6763]P2(f317(f317(f227(a903),x67631),x67632))+~P2(f317(f317(f227(a1),f317(f90(a1),x67631)),f317(f90(a1),x67632)))
% 192.07/191.92 [6764]P2(f317(f317(f227(a1),x67641),x67642))+~P2(f317(f317(f227(a903),f317(f93(a903),x67641)),f317(f93(a903),x67642)))
% 192.07/191.92 [6765]P2(f317(f317(f227(a1),x67651),x67652))+~P2(f317(f317(f227(a1),f317(f93(a1),x67651)),f317(f93(a1),x67652)))
% 192.07/191.92 [6839]~E(f280(a903,f277(a903),x68391,x68392),f178(f910(a903,a898)))+~P2(f317(f317(f277(a903),x68391),x68392))
% 192.07/191.92 [6866]~E(f621(x68662,x68661),f103(x68661))+E(f317(f132(f904(x68661),f904(x68661),f124(x68661),f103(x68661)),x68662),f103(x68661))
% 192.07/191.92 [6867]~E(f625(x68672,x68671),f103(x68671))+E(f317(f132(f904(x68671),f904(x68671),f124(x68671),f103(x68671)),x68672),f103(x68671))
% 192.07/191.92 [6871]~P6(x68711)+E(f317(f132(x68711,x68711,f100(x68711),f178(x68711)),x68712),f32(x68711,f317(f162(x68711),x68712)))
% 192.07/191.92 [6872]~P6(x68721)+E(f317(f132(x68721,x68721,f91(x68721),f232(x68721)),x68722),f33(x68721,f317(f162(x68721),x68722)))
% 192.07/191.92 [6886]E(x68861,f2(a89))+E(f317(f317(f74(a903),f317(a22,f317(f317(f3(a89),x68861),f72(a89)))),f317(a102,x68862)),f317(f317(f74(a903),f317(a22,x68861)),x68862))
% 192.07/191.92 [6935]P2(f317(f317(f227(a1),f317(f317(f3(a1),x69351),x69352)),f2(a1)))+~P2(f317(f317(f227(a1),x69351),x69352))
% 192.07/191.92 [6960]~P108(x69601)+E(f317(f317(f100(f910(x69601,a898)),f317(f317(f299(x69601),x69602),f178(f910(x69601,a898)))),f317(f294(x69601),x69602)),f317(f273(x69601),x69602))
% 192.07/191.92 [7038]~P59(x70381,x70382)+P37(x70381,f317(f252(f909(x70381,x70381)),f317(f247(x70381,x70381,a898),x70382)))
% 192.07/191.92 [7039]~P59(x70391,x70392)+P57(x70391,f317(f252(f909(x70391,x70391)),f317(f247(x70391,x70391,a898),x70392)))
% 192.07/191.92 [7040]~P49(x70401,x70402)+P38(x70401,f317(f252(f909(x70401,x70401)),f317(f247(x70401,x70401,a898),x70402)))
% 192.07/191.92 [7041]~P50(x70411,x70412)+P51(x70411,f317(f252(f909(x70411,x70411)),f317(f247(x70411,x70411,a898),x70412)))
% 192.07/191.92 [7042]E(x70421,f178(f910(x70422,a898)))+~P2(f317(f317(f226(f910(x70422,a898)),x70421),f178(f910(x70422,a898))))
% 192.07/191.92 [7126]~P2(f317(f317(f227(a903),f2(a903)),x71262))+P2(f317(f317(f226(a903),f41(a903,x71261,x71262)),x71262))
% 192.07/191.92 [7127]~P2(f317(f317(f226(a1),f2(a1)),x71271))+P2(f317(f317(f226(a1),f41(a1,x71271,x71272)),x71271))
% 192.07/191.92 [7128]~P2(f317(f317(f227(a903),f2(a903)),x71282))+P2(f317(f317(f227(a903),f41(a903,x71281,x71282)),x71282))
% 192.07/191.92 [7130]~P2(f317(f317(f227(a1),f2(a1)),x71302))+P2(f317(f317(f227(a1),f41(a1,x71301,x71302)),x71302))
% 192.07/191.92 [7206]~P109(x72061)+E(f317(f317(f3(f910(x72061,a898)),f317(f317(f299(x72061),x72062),f178(f910(x72061,a898)))),f317(f272(x72061),x72062)),f317(f317(f299(x72061),x72062),f178(f910(x72061,a898))))
% 192.07/191.92 [7281]~P43(x72811,x72812)+P52(x72811,f232(f910(x72811,a898)),f317(f252(f909(x72811,x72811)),f317(f247(x72811,x72811,a898),x72812)))
% 192.07/191.92 [7282]P2(f317(x72821,x72822))+P2(f317(f317(f319(f910(f909(a903,a903),a898)),f657(x72822,x72821)),a88))
% 192.07/191.92 [7325]E(f317(f317(f124(a903),f129(a903,f317(f292(a903,x73251),x73252))),f317(f317(f141(a903),x73252),f103(a903))),f129(a903,f317(f292(a903,x73251),f317(a102,x73252))))+~P2(f317(f317(f226(a903),x73251),x73252))
% 192.07/191.92 [7477]E(x74771,f2(a903))+~E(f317(f132(a903,a903,f74(a903),x74771),x74772),f2(a903))
% 192.07/191.92 [7502]~P2(f317(f317(f227(a1),f317(f317(f3(a1),x75021),x75022)),f2(a1)))+P2(f317(f317(f227(a1),x75021),x75022))
% 192.07/191.92 [7531]P37(x75311,x75312)+~P37(x75311,f317(f317(f279(x75311,x75311,x75311),x75312),x75312))
% 192.07/191.92 [7556]~P2(f317(f317(f226(a903),f317(a102,x75561)),x75562))+P2(f175(a898,a223,f317(f226(a903),x75561),x75562))
% 192.07/191.92 [7710]P25(a903,a903,f317(f317(f9(a903,a903,a903),f3(a903)),x77101),x77102)+P2(f317(f317(f319(a903),f664(x77101,x77102)),x77102))
% 192.07/191.92 [7768]E(f317(f317(f317(f60(a903,x77681,f74(a903)),f317(f18(a903,x77681),f72(a903))),f2(a903)),x77682),f317(f30(x77681),x77682))+~P2(f317(f29(x77681),x77682))
% 192.07/191.92 [7810]P25(a903,a903,f317(f317(f9(a903,a903,a903),f3(a903)),x78101),x78102)+~P2(f317(f317(f226(a903),x78101),f664(x78101,x78102)))
% 192.07/191.92 [7866]P37(x78661,x78662)+P2(f317(f317(f226(f910(x78661,a898)),f662(x78662,x78661)),f317(f275(x78661,x78661,x78662),f662(x78662,x78661))))
% 192.07/191.92 [7871]P59(x78711,x78712)+~P37(x78711,f317(f252(f909(x78711,x78711)),f317(f247(x78711,x78711,a898),x78712)))
% 192.07/191.92 [7872]P49(x78721,x78722)+~P38(x78721,f317(f252(f909(x78721,x78721)),f317(f247(x78721,x78721,a898),x78722)))
% 192.07/191.92 [7873]P50(x78731,x78732)+~P51(x78731,f317(f252(f909(x78731,x78731)),f317(f247(x78731,x78731,a898),x78732)))
% 192.07/191.92 [7941]P2(f317(f317(f226(a903),f317(a102,x79411)),x79412))+~P2(f175(a898,a223,f317(f226(a903),x79411),x79412))
% 192.07/191.92 [7998]P2(f317(f317(f319(f909(a903,a903)),f317(f317(f242(a903,a903),x79981),x79982)),f297(a903,a307)))+~P2(f317(f317(f226(a903),x79981),x79982))
% 192.07/191.92 [8094]P43(x80941,x80942)+~P52(x80941,f232(f910(x80941,a898)),f317(f252(f909(x80941,x80941)),f317(f247(x80941,x80941,a898),x80942)))
% 192.07/191.92 [8149]~P2(f317(f127(x81491),x81492))+P2(f317(f127(f910(x81491,a898)),f317(f317(f144(f904(x81491),f910(x81491,a898)),f162(x81491)),f50(x81491,x81492))))
% 192.07/191.92 [8350]~P37(x83501,f317(f276(x83501,x83501),x83502))+P37(x83501,f317(f276(x83501,x83501),f317(f317(f279(x83501,x83501,x83501),x83502),f297(x83501,x83502))))
% 192.07/191.92 [8362]P149(x83621,f317(f317(f299(a897),f317(a913,x83622)),f178(f910(a897,a898))))+~P149(f317(f317(f299(a897),f317(a913,x83622)),x83621),f317(f317(f299(a897),f914(f222(a899,f34(x83622)))),f178(f910(a897,a898))))
% 192.07/191.92 [8449]P26(x84491,a903,f812(x84492,x84491),x84492,f317(f292(a903,f2(a903)),f317(f30(x84491),x84492)))+~P2(f317(f29(x84491),x84492))
% 192.07/191.92 [8450]P26(a903,x84501,f807(x84502,x84501),f317(f292(a903,f2(a903)),f317(f30(x84501),x84502)),x84502)+~P2(f317(f29(x84501),x84502))
% 192.07/191.92 [8467]P26(a903,x84671,f808(x84672,x84671),f293(a903,f72(a903),f317(f30(x84671),x84672)),x84672)+~P2(f317(f29(x84671),x84672))
% 192.07/191.92 [8477]P2(f317(f29(f909(x84771,x84771)),f317(f317(f279(x84771,x84771,x84771),x84772),f297(x84771,x84772))))+~P2(f317(f29(f909(x84771,x84771)),x84772))
% 192.07/191.92 [8504]E(x85041,f2(a1))+P2(f317(f45(x85042,x85041),f317(f317(f242(a1,a1),f317(f317(f31(a1),x85042),x85041)),f41(a1,x85042,x85041))))
% 192.07/191.92 [8518]~P2(f317(f317(f319(f909(a903,a903)),f317(f317(f242(a903,a903),x85181),x85182)),f297(a903,a307)))+P2(f317(f317(f226(a903),x85181),x85182))
% 192.07/191.92 [8535]~P82(x85351)+E(f317(f132(x85351,x85351,f317(f9(x85351,x85351,x85351),f74(x85351)),f2(x85351)),f317(f158(x85351),x85352)),f317(f132(x85351,x85351,f74(x85351),f2(x85351)),x85352))
% 192.07/191.92 [8706]~P108(x87061)+E(f317(f132(f904(x87061),x87061,f317(f9(x87061,f904(x87061),f904(x87061)),f138(x87061,x87061,f7(x87061))),f103(x87061)),x87062),f140(x87061,x87061,f7(x87061),x87062))
% 192.07/191.92 [8817]~P57(x88171,f317(f252(f909(x88171,x88171)),f317(f247(x88171,x88171,a898),x88172)))+P57(x88171,f317(f252(f909(x88171,x88171)),f317(f247(x88171,x88171,a898),f233(x88171,x88171,x88172))))
% 192.07/191.92 [8831]P2(f317(f317(f319(f909(a903,a903)),f317(f317(f242(a903,a903),x88311),x88312)),f317(f317(f279(a903,a903,a903),a307),f297(a903,a307))))+~P2(f317(f317(f227(a903),x88311),x88312))
% 192.07/191.92 [8877]~P2(f317(f29(f909(x88771,x88771)),f317(f317(f279(x88771,x88771,x88771),x88772),f297(x88771,x88772))))+P2(f317(f29(f909(x88771,x88771)),x88772))
% 192.07/191.92 [8935]~P57(x89351,f317(f252(f909(x89351,x89351)),f317(f247(x89351,x89351,a898),f233(x89351,x89351,x89352))))+P57(x89351,f317(f252(f909(x89351,x89351)),f317(f247(x89351,x89351,a898),x89352)))
% 192.07/191.92 [9132]P57(x91321,x91322)+P2(f317(f317(f319(f909(x91321,x91321)),f317(f317(f242(x91321,x91321),f706(x91322,x91321)),f706(x91322,x91321))),f317(f317(f279(x91321,x91321,x91321),x91322),f297(x91321,x91322))))
% 192.07/191.92 [9133]P57(x91331,x91332)+P2(f317(f317(f319(f909(x91331,x91331)),f317(f317(f242(x91331,x91331),f714(x91332,x91331)),f714(x91332,x91331))),f317(f317(f279(x91331,x91331,x91331),x91332),f297(x91331,x91332))))
% 192.07/191.92 [9250]~P2(f317(f317(f319(f909(a903,a903)),f317(f317(f242(a903,a903),x92501),x92502)),f317(f317(f279(a903,a903,a903),a307),f297(a903,a307))))+P2(f317(f317(f227(a903),x92501),x92502))
% 192.07/191.92 [5155]~P93(x51551)+E(f317(f317(f74(x51551),f317(f93(x51551),a77)),x51552),x51552)
% 192.07/191.92 [5185]~P68(x51851)+E(f317(f317(f74(x51851),f317(f73(x51851),x51852)),x51852),f2(x51851))
% 192.07/191.92 [5186]~P76(x51861)+E(f317(f317(f74(x51861),f317(f73(x51861),x51862)),x51862),f2(x51861))
% 192.07/191.92 [5187]~P96(x51871)+E(f317(f317(f100(x51871),f317(f73(x51871),x51872)),x51872),f232(x51871))
% 192.07/191.92 [5188]~P96(x51881)+E(f317(f317(f91(x51881),f317(f73(x51881),x51882)),x51882),f178(x51881))
% 192.07/191.92 [5221]~P93(x52211)+E(f317(f317(f75(x52211),f317(f93(x52211),a87)),x52212),f317(f73(x52211),x52212))
% 192.07/191.92 [5378]~P112(x53781)+E(f317(f317(f75(x53781),f317(f73(x53781),f72(x53781))),x53782),f317(f73(x53781),x53782))
% 192.07/191.92 [5425]E(f317(f70(a1),x54251),f72(a1))+~E(f317(f70(a1),f317(f317(f75(a1),x54251),x54252)),f72(a1))
% 192.07/191.92 [5518]~P93(x55181)+E(f317(f317(f74(x55181),f72(x55181)),f317(f93(x55181),x55182)),f317(f93(x55181),f317(f317(f3(a1),x55182),a87)))
% 192.07/191.92 [5572]~P102(x55721)+E(f12(x55721,f317(f317(f299(x55721),x55722),f178(f910(x55721,a898)))),x55722)
% 192.07/191.92 [5573]~P6(x55731)+E(f32(x55731,f317(f317(f299(x55731),x55732),f178(f910(x55731,a898)))),x55732)
% 192.07/191.92 [5574]~P102(x55741)+E(f13(x55741,f317(f317(f299(x55741),x55742),f178(f910(x55741,a898)))),x55742)
% 192.07/191.92 [5575]~P6(x55751)+E(f33(x55751,f317(f317(f299(x55751),x55752),f178(f910(x55751,a898)))),x55752)
% 192.07/191.92 [5576]~P108(x55761)+E(f16(x55761,f317(f317(f299(x55761),x55762),f178(f910(x55761,a898)))),x55762)
% 192.07/191.92 [5577]~P108(x55771)+E(f17(x55771,f317(f317(f299(x55771),x55772),f178(f910(x55771,a898)))),x55772)
% 192.07/191.92 [5599]E(f317(f317(f74(a903),x55991),f317(f317(f3(a903),x55992),x55991)),x55992)+P2(f317(f317(f227(a903),x55992),x55991))
% 192.07/191.92 [5637]E(x56371,f103(x56372))+P2(f317(f317(f227(a903),f2(a903)),f317(f179(f904(x56372)),x56371)))
% 192.07/191.92 [5763]~P108(x57631)+E(f14(x57631,f224(x57631),f317(f317(f299(x57631),x57632),f178(f910(x57631,a898)))),x57632)
% 192.07/191.92 [5764]~P108(x57641)+E(f15(x57641,f225(x57641),f317(f317(f299(x57641),x57642),f178(f910(x57641,a898)))),x57642)
% 192.07/191.92 [5825]E(f317(f317(f3(a903),x58251),f317(f317(f3(a903),x58251),x58252)),x58252)+~P2(f317(f317(f226(a903),x58252),x58251))
% 192.07/191.92 [5826]E(f317(f317(f74(a903),x58261),f317(f317(f3(a903),x58262),x58261)),x58262)+~P2(f317(f317(f226(a903),x58261),x58262))
% 192.07/191.92 [5848]E(f41(a903,f317(f317(f3(a903),x58481),x58482),x58482),f41(a903,x58481,x58482))+P2(f317(f317(f227(a903),x58481),x58482))
% 192.07/191.92 [5859]E(f317(f73(a1),f317(f317(f31(a1),x58591),f317(f73(a1),x58592))),f283(x58591,x58592))+P2(f317(f317(f226(a1),f2(a1)),x58592))
% 192.07/191.92 [5861]~E(x58612,f2(a903))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f234(a903),x58611),x58612)))
% 192.07/191.92 [5924]~P93(x59241)+E(f317(f317(f74(x59241),f317(f73(x59241),f72(x59241))),f317(f93(x59241),x59242)),f317(f93(x59241),f317(f317(f74(a1),x59242),a87)))
% 192.07/191.92 [5926]E(f317(f317(f234(a903),f317(f93(a903),x59261)),x59262),f317(f317(f234(a903),f2(a903)),x59262))+~P2(f317(a183,f317(f93(a1),x59261)))
% 192.07/191.92 [6034]E(f317(f131(a903),f129(a903,f317(f292(a903,x60341),x60342))),x60341)+~P2(f317(f317(f227(a903),x60341),x60342))
% 192.07/191.92 [6050]E(f317(f317(f75(a903),f317(f93(a903),x60501)),f317(f93(a903),x60502)),f317(f93(a903),f317(f317(f75(a1),x60501),x60502)))+P2(f317(f317(f227(a1),x60501),a77))
% 192.07/191.92 [6056]~P125(x60561)+P2(f317(f317(f226(x60561),f2(x60561)),f317(f317(f75(x60561),x60562),x60562)))
% 192.07/191.92 [6068]E(f317(f317(f3(a903),f317(a102,x60681)),x60682),f317(a102,f317(f317(f3(a903),x60681),x60682)))+~P2(f317(f317(f226(a903),x60682),x60681))
% 192.07/191.92 [6072]E(f41(a903,f317(f317(f3(a903),x60721),x60722),x60722),f41(a903,x60721,x60722))+~P2(f317(f317(f226(a903),x60722),x60721))
% 192.07/191.92 [6126]E(f317(f317(f234(a903),f317(a94,x61261)),x61262),f317(a94,f317(f317(f234(a1),x61261),x61262)))+~P2(f317(f317(f226(a1),f2(a1)),x61261))
% 192.07/191.92 [6144]P2(f317(f127(x61441),x61442))+P2(f317(f317(f227(a903),f534(x61442,x61441)),f317(f179(f904(x61441)),x61442)))
% 192.07/191.92 [6145]P2(f317(f127(x61451),x61452))+P2(f317(f317(f227(a903),f595(x61452,x61451)),f317(f179(f904(x61451)),x61452)))
% 192.07/191.92 [6159]~E(x61591,f103(x61592))+~P2(f317(f317(f227(a903),f2(a903)),f317(f179(f904(x61592)),x61591)))
% 192.07/191.92 [6170]E(f134(a903,f129(a903,f317(f292(a903,x61701),x61702))),f317(f317(f3(a903),x61702),f72(a903)))+~P2(f317(f317(f227(a903),x61701),x61702))
% 192.07/191.92 [6173]E(f317(f317(f74(a1),x61731),f317(f90(a1),f317(a102,f861(x61732,x61731)))),x61732)+~P2(f317(f317(f227(a1),x61731),x61732))
% 192.07/191.92 [6180]E(x61801,f2(a903))+E(f317(f317(f75(a903),x61802),f317(f317(f234(a903),x61802),f317(f317(f3(a903),x61801),f72(a903)))),f317(f317(f234(a903),x61802),x61801))
% 192.07/191.92 [6208]E(f317(f317(f75(a903),f317(a94,x62081)),f317(a94,x62082)),f317(a94,f317(f317(f75(a1),x62081),x62082)))+~P2(f317(f317(f226(a1),f2(a1)),x62081))
% 192.07/191.92 [6209]E(f317(f317(f31(a903),f317(a94,x62091)),f317(a94,x62092)),f317(a94,f317(f317(f31(a1),x62091),x62092)))+~P2(f317(f317(f226(a1),f2(a1)),x62091))
% 192.07/191.92 [6224]~P118(x62241)+E(f317(f317(f74(x62241),x62242),x62242),f317(f317(f75(x62241),f317(f317(f74(x62241),f72(x62241)),f72(x62241))),x62242))
% 192.07/191.92 [6247]E(f317(f317(f3(a1),f317(f90(a1),x62471)),f317(f90(a1),x62472)),f317(f90(a1),f317(f317(f3(a903),x62471),x62472)))+~P2(f317(f317(f226(a903),x62472),x62471))
% 192.07/191.92 [6249]E(f317(f317(f242(a1,a1),f317(f93(a1),a87)),f317(f317(f74(a1),x62491),x62492)),f46(x62491,x62492))+~P2(f317(f317(f226(a1),x62492),f2(a1)))
% 192.07/191.92 [6283]E(f169(x62831,x62832),f103(f904(x62831)))+P2(f317(f317(f319(f904(x62831)),f605(x62832,x62831)),f317(f162(f904(x62831)),x62832)))
% 192.07/191.92 [6293]E(f106(a1,f317(f119(a1),x62931),f118(x62932,f317(f317(f74(a1),x62931),f72(a1)))),f118(x62932,x62931))+P2(f317(f317(f227(a1),x62932),x62931))
% 192.07/191.92 [6348]~P2(f317(f317(f277(a903),x63481),x63482))+P2(f317(f317(f277(a903),x63481),f317(f317(f74(a903),x63482),x63481)))
% 192.07/191.92 [6370]E(f317(f317(f141(a1),x63701),f168(f317(f317(f74(a1),x63701),f72(a1)),x63702)),f168(x63701,x63702))+~P2(f317(f317(f226(a1),x63701),x63702))
% 192.07/191.92 [6392]P149(x63921,x63922)+~P2(f317(f317(f226(f910(a897,a898)),x63922),x63921))
% 192.07/191.92 [6413]~P2(f317(f317(f227(a903),x64132),x64131))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f3(a903),x64131),x64132)))
% 192.07/191.92 [6445]~P2(f317(f317(f227(a903),x64451),f317(a94,x64452)))+P2(f317(f317(f227(a1),f317(f90(a1),x64451)),x64452))
% 192.07/191.92 [6474]~P108(x64741)+E(f317(f317(f100(f910(x64741,a898)),f317(f272(x64741),x64742)),f317(f317(f299(x64741),x64742),f178(f910(x64741,a898)))),f317(f291(x64741),x64742))
% 192.07/191.92 [6475]~P2(f317(f317(f226(a1),f2(a1)),x64751))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f234(a1),x64751),x64752)))
% 192.07/191.92 [6478]~P2(f317(f317(f227(a903),f2(a903)),x64781))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f234(a903),x64781),x64782)))
% 192.07/191.92 [6505]~E(f317(x65051,f2(a903)),f2(a903))+E(f317(f317(f8(a903,a903),x65051),f293(a903,f317(a102,f2(a903)),x65052)),f317(f317(f8(a903,a903),x65051),f293(a903,f2(a903),x65052)))
% 192.07/191.92 [6571]~P93(x65711)+E(f317(f317(f75(x65711),f317(f317(f74(x65711),f72(x65711)),f72(x65711))),f317(f93(x65711),x65712)),f317(f93(x65711),f317(f317(f74(a1),x65712),x65712)))
% 192.07/191.92 [6591]E(f317(f317(f299(a1),x65911),f293(a1,f317(f317(f74(a1),x65911),f72(a1)),x65912)),f293(a1,x65911,x65912))+P2(f317(f317(f227(a1),x65912),x65911))
% 192.07/191.92 [6592]P2(f317(f317(f227(a903),x65921),f317(a94,x65922)))+~P2(f317(f317(f227(a1),f317(f90(a1),x65921)),x65922))
% 192.07/191.92 [6692]P2(f317(f317(f277(a903),x66921),x66922))+~P2(f317(f317(f277(a903),x66921),f317(f317(f74(a903),x66922),x66921)))
% 192.07/191.92 [6697]E(f317(a94,f317(f317(f31(a1),f317(f93(a1),x66971)),f317(f93(a1),x66972))),f317(f317(f31(a903),f317(f93(a903),x66971)),f317(f93(a903),x66972)))+P2(f317(a183,f317(f93(a1),x66971)))
% 192.07/191.92 [6758]P2(f317(f317(f227(a903),x67581),x67582))+~P2(f317(f317(f227(a903),f2(a903)),f317(f317(f3(a903),x67582),x67581)))
% 192.07/191.92 [6802]P2(f317(f317(f227(a903),f2(a903)),x68021))+~P2(f317(f317(f227(a903),f2(a903)),f317(f317(f75(a903),x68022),x68021)))
% 192.07/191.92 [6803]P2(f317(f317(f227(a903),f2(a903)),x68031))+~P2(f317(f317(f227(a903),f2(a903)),f317(f317(f75(a903),x68031),x68032)))
% 192.07/191.92 [6822]~P2(f317(f317(f226(a1),x68221),f2(a1)))+E(f317(f317(f75(a903),f317(a94,f317(f73(a1),x68221))),f317(a94,f317(f73(a1),x68222))),f317(a94,f317(f317(f75(a1),x68221),x68222)))
% 192.07/191.92 [6883]~E(x68832,f178(f910(x68831,a898)))+P2(f317(f317(f226(f910(x68831,a898)),x68832),f317(f73(f910(x68831,a898)),x68832)))
% 192.07/191.92 [6945]~P93(x69451)+E(f317(f317(f74(x69451),f317(f317(f74(x69451),f2(x69451)),f317(f93(x69451),x69452))),f317(f93(x69451),x69452)),f317(f93(x69451),f317(f317(f74(a1),x69452),x69452)))
% 192.07/191.92 [7001]~P2(f317(f317(f227(a1),x70011),x70012))+P2(f317(f317(f226(a1),f317(f317(f74(a1),x70011),f72(a1))),x70012))
% 192.07/191.92 [7071]E(x70711,f2(a903))+~P2(f317(f317(f226(a1),f317(f90(a1),x70712)),f317(f73(a1),f317(f90(a1),x70711))))
% 192.07/191.92 [7072]E(x70721,f2(a903))+~P2(f317(f317(f226(a1),f317(f90(a1),x70721)),f317(f73(a1),f317(f90(a1),x70722))))
% 192.07/191.92 [7174]E(f317(f317(f242(a1,a1),f317(f93(a1),a87)),f317(f317(f74(a1),x71741),x71742)),f46(x71741,x71742))+~P2(f317(f317(f226(a1),f2(a1)),f317(f317(f74(a1),x71741),x71742)))
% 192.07/191.92 [7218]~P27(x72181,x72182)+P37(x72181,f317(f241(f910(f909(x72181,x72181),a898),f910(f909(x72181,x72181),a898)),x72182))
% 192.07/191.92 [7237]~P2(f317(f317(f226(a903),f317(a102,f2(a903))),x72371))+P2(f317(f317(f226(a903),f317(a102,f2(a903))),f317(f317(f234(a903),x72371),x72372)))
% 192.07/191.92 [7415]~P2(f317(f317(f226(a1),x74151),x74152))+P2(f317(f317(f226(a1),f317(f317(f74(a1),x74151),x74151)),f317(f317(f74(a1),x74152),x74152)))
% 192.07/191.92 [7420]~P2(f317(f317(f227(a1),x74201),x74202))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x74201),x74201)),f317(f317(f74(a1),x74202),x74202)))
% 192.07/191.92 [7478]~P2(f317(f317(f227(a903),f2(a903)),x74781))+P2(f317(f317(f227(a903),f317(f317(f3(a903),x74781),f317(a102,x74782))),x74781))
% 192.07/191.92 [7513]P2(f317(f317(f226(a903),f317(a102,f2(a903))),x75131))+~P2(f317(f317(f226(a903),f317(a102,f2(a903))),f317(f317(f75(a903),x75132),x75131)))
% 192.07/191.92 [7514]P2(f317(f317(f226(a903),f317(a102,f2(a903))),x75141))+~P2(f317(f317(f226(a903),f317(a102,f2(a903))),f317(f317(f75(a903),x75141),x75142)))
% 192.07/191.92 [7518]P2(f317(f317(f226(a903),f317(f317(f154(a903),x75181),x75182)),f317(f155(a903),x75181)))+~P2(f317(f317(f227(a903),x75182),f317(f179(f904(a903)),x75181)))
% 192.07/191.92 [7555]P2(f317(f317(f227(a1),x75551),x75552))+~P2(f317(f317(f226(a1),f317(f317(f74(a1),x75551),f72(a1))),x75552))
% 192.07/191.92 [7596]P2(f317(f29(x75961),f232(f910(x75961,a898))))+~P2(f317(f29(f910(x75962,x75961)),f232(f910(f910(x75962,x75961),a898))))
% 192.07/191.92 [7597]P2(f317(f29(x75971),f232(f910(x75971,a898))))+~P2(f317(f29(f908(x75972,x75971)),f232(f910(f908(x75972,x75971),a898))))
% 192.07/191.92 [7598]P2(f317(f29(x75981),f232(f910(x75981,a898))))+~P2(f317(f29(f908(x75981,x75982)),f232(f910(f908(x75981,x75982),a898))))
% 192.07/191.92 [7637]E(x76371,f178(f910(x76372,a898)))+~P2(f317(f317(f226(f910(x76372,a898)),x76371),f317(f73(f910(x76372,a898)),x76371)))
% 192.07/191.92 [7778]E(f317(f132(f904(x77781),f904(x77781),f124(x77781),f103(x77781)),x77782),f103(x77781))+P2(f317(f317(f319(f904(x77781)),f621(x77782,x77781)),f317(f162(f904(x77781)),x77782)))
% 192.07/191.92 [7779]E(f317(f132(f904(x77791),f904(x77791),f124(x77791),f103(x77791)),x77792),f103(x77791))+P2(f317(f317(f319(f904(x77791)),f625(x77792,x77791)),f317(f162(f904(x77791)),x77792)))
% 192.07/191.92 [8016]P2(f317(f317(f226(a1),x80161),x80162))+~P2(f317(f317(f226(a1),f317(f317(f74(a1),x80161),x80161)),f317(f317(f74(a1),x80162),x80162)))
% 192.07/191.92 [8021]P2(f317(f317(f227(a1),x80211),x80212))+~P2(f317(f317(f227(a1),f317(f317(f74(a1),x80211),x80211)),f317(f317(f74(a1),x80212),x80212)))
% 192.07/191.92 [8114]~P118(x81141)+E(f317(f317(f75(x81141),f317(f317(f74(x81141),f72(x81141)),f72(x81141))),f317(f317(f8(a903,x81141),f90(x81141)),f293(a903,f72(a903),x81142))),f317(f317(f75(x81141),f317(f90(x81141),x81142)),f317(f317(f74(x81141),f317(f90(x81141),x81142)),f72(x81141))))
% 192.07/191.92 [8163]P2(f317(f317(f319(a903),x81631),x81632))+~P2(f317(f317(f319(a1),f317(f90(a1),x81631)),f317(f300(a903,a1,f90(a1)),x81632)))
% 192.07/191.92 [8322]~P2(f317(f29(x83221),x83222))+E(f317(f300(a903,x83221,f546(x83222,x83221)),f317(f252(a903),f317(f317(f9(a903,a903,a898),f227(a903)),f547(x83222,x83221)))),x83222)
% 192.07/191.92 [8603]P53(x86031,x86032)+P2(f317(f317(f319(f909(x86031,x86031)),f317(f317(f242(x86031,x86031),f487(x86032,x86031)),f487(x86032,x86031))),x86032))
% 192.07/191.92 [8604]P38(x86041,x86042)+P2(f317(f317(f319(f909(x86041,x86041)),f317(f317(f242(x86041,x86041),f779(x86042,x86041)),f783(x86042,x86041))),x86042))
% 192.07/191.92 [8605]P38(x86051,x86052)+P2(f317(f317(f319(f909(x86051,x86051)),f317(f317(f242(x86051,x86051),f783(x86052,x86051)),f784(x86052,x86051))),x86052))
% 192.07/191.92 [8606]P39(x86061,x86062)+P2(f317(f317(f319(f909(x86061,x86061)),f317(f317(f242(x86061,x86061),f661(x86062,x86061)),f660(x86062,x86061))),x86062))
% 192.07/191.92 [8607]P39(x86071,x86072)+P2(f317(f317(f319(f909(x86071,x86071)),f317(f317(f242(x86071,x86071),f660(x86072,x86071)),f661(x86072,x86071))),x86072))
% 192.07/191.92 [8608]P51(x86081,x86082)+P2(f317(f317(f319(f909(x86081,x86081)),f317(f317(f242(x86081,x86081),f787(x86082,x86081)),f788(x86082,x86081))),x86082))
% 192.07/191.92 [8749]~P93(x87491)+E(f317(f317(f3(x87491),f72(x87491)),f317(f93(x87491),x87492)),f317(f93(x87491),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x87492))))
% 192.07/191.92 [8874]~P2(f317(f317(f227(f910(a903,a898)),x88741),x88742))+P2(f317(f317(f227(f910(a1,a898)),f317(f300(a903,a1,f90(a1)),x88741)),f317(f300(a903,a1,f90(a1)),x88742)))
% 192.07/191.92 [8908]~P2(f317(f317(f227(a1),x89081),x89082))+P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),x89081),x89081)),a87)),f317(f317(f74(a1),x89082),x89082)))
% 192.07/191.92 [8910]~P2(f317(f317(f227(a1),x89101),x89102))+P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x89101),x89101)),a87)),f317(f317(f74(a1),x89102),x89102)))
% 192.07/191.92 [8983]~P2(f317(f317(f319(a903),x89831),f317(f162(a903),x89832)))+P2(f317(f317(f226(a903),x89831),f317(f132(a903,a903,f74(a903),f2(a903)),x89832)))
% 192.07/191.92 [9072]P46(x90721,x90722)+~P2(f317(f317(f319(f909(x90721,x90721)),f317(f317(f242(x90721,x90721),f458(x90722,x90721)),f458(x90722,x90721))),x90722))
% 192.07/191.92 [9073]P38(x90731,x90732)+~P2(f317(f317(f319(f909(x90731,x90731)),f317(f317(f242(x90731,x90731),f779(x90732,x90731)),f784(x90732,x90731))),x90732))
% 192.07/191.92 [9074]P51(x90741,x90742)+~P2(f317(f317(f319(f909(x90741,x90741)),f317(f317(f242(x90741,x90741),f788(x90742,x90741)),f787(x90742,x90741))),x90742))
% 192.07/191.92 [9213]~P2(f317(f317(f226(f910(a1,a898)),f317(f300(a903,a1,f90(a1)),x92131)),f317(f300(a903,a1,f90(a1)),x92132)))+P2(f317(f317(f226(f910(a903,a898)),x92131),x92132))
% 192.07/191.92 [9214]~P2(f317(f317(f227(f910(a1,a898)),f317(f300(a903,a1,f90(a1)),x92141)),f317(f300(a903,a1,f90(a1)),x92142)))+P2(f317(f317(f227(f910(a903,a898)),x92141),x92142))
% 192.07/191.92 [9299]P2(f317(f317(f227(a1),x92991),x92992))+~P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92991),x92991)),a87)),f317(f317(f74(a1),x92992),x92992)))
% 192.07/191.92 [9301]P2(f317(f317(f227(a1),x93011),x93012))+~P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x93011),x93011)),a87)),f317(f317(f74(a1),x93012),x93012)))
% 192.07/191.92 [10201]~P105(x102011)+E(f106(f904(x102011),f317(f119(f904(x102011)),f103(x102011)),f317(f317(f317(f86(f905(f904(x102011))),f317(f317(f227(a1),f2(a1)),x102012)),f317(f108(f909(x102011,f904(x102011)),f904(x102011),f121(x102011,f904(x102011),f122(x102011,f317(f317(f3(a1),x102012),f72(a1))),f122(f904(x102011),f317(f317(f3(a1),x102012),f72(a1))))),f317(f247(x102011,f904(x102011),f905(f904(x102011))),f317(f317(f10(f910(f904(x102011),f904(x102011)),f910(f904(x102011),f905(f904(x102011))),x102011),f317(f10(f904(x102011),f905(f904(x102011)),f904(x102011)),f119(f904(x102011)))),f141(x102011))))),f105(f904(x102011)))),f122(f904(x102011),x102012))
% 192.07/191.92 [10223]~P2(f317(f29(x102231),x102232))+E(f317(f179(f904(x102231)),f84(f904(x102231),f317(f317(f20(f904(x102231),a898,a898),f317(f317(f10(a898,f910(a898,a898),f904(x102231)),a315),f317(f317(f9(f904(x102231),f910(x102231,a898),a898),f317(f317(f10(f910(x102231,a898),f910(f910(x102231,a898),a898),f904(x102231)),a314),f162(x102231))),x102232))),f127(x102231)))),f204(x102231,x102232))
% 192.07/191.92 [6169]E(f317(f317(f74(a903),f317(f317(f3(a903),x61691),x61692)),x61692),x61691)+~P2(f317(f317(f226(a903),x61692),x61691))
% 192.07/191.92 [6243]E(f317(f317(f31(a903),f317(f317(f75(a903),x62431),x62432)),x62432),x62431)+~P2(f317(f317(f227(a903),f2(a903)),x62432))
% 192.07/191.92 [6244]E(f317(f317(f31(a903),f317(f317(f75(a903),x62441),x62442)),x62441),x62442)+~P2(f317(f317(f227(a903),f2(a903)),x62441))
% 192.07/191.92 [6248]~P75(x62481)+E(f317(f317(f8(a903,x62481),f317(f154(x62481),x62482)),f317(f292(a903,f2(a903)),f317(f179(f904(x62481)),x62482))),f317(f155(x62481),x62482))
% 192.07/191.92 [6362]E(f41(a903,f317(a102,f317(f317(f75(a903),x63621),x63622)),x63621),f72(a903))+~P2(f317(f317(f227(a903),f72(a903)),x63621))
% 192.07/191.92 [6368]E(f317(a102,f317(f317(f74(a903),f317(f93(a903),x63681)),x63682)),f317(f317(f74(a903),f72(a903)),x63682))+~P2(f317(a183,f317(f93(a1),x63681)))
% 192.07/191.92 [6398]E(f317(a94,f317(f317(f234(a1),f317(f93(a1),x63981)),x63982)),f317(f317(f234(a903),f317(f93(a903),x63981)),x63982))+P2(f317(a183,f317(f93(a1),x63981)))
% 192.07/191.92 [6646]E(f317(f317(f3(a903),x66461),f317(f93(a903),f317(f317(f74(a1),x66462),a87))),f317(f317(f3(a903),f317(a102,x66461)),f317(f93(a903),x66462)))+~P2(f317(f317(f227(a1),a77),x66462))
% 192.07/191.92 [6728]E(x67281,f2(a903))+E(f317(a102,f317(f317(f74(a903),f317(f317(f3(a903),x67281),f72(a903))),x67282)),f317(f317(f74(a903),x67281),x67282))
% 192.07/191.92 [6771]E(x67711,f2(a1))+P2(f317(f317(f227(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67711)),x67712)))
% 192.07/191.92 [6786]~E(x67862,f2(a903))+P2(f317(f317(f227(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67861)),x67862)))
% 192.07/191.92 [6825]E(x68251,f2(a903))+E(f317(f317(f74(a903),x68252),f317(f317(f75(a903),f317(f317(f3(a903),x68251),f72(a903))),x68252)),f317(f317(f75(a903),x68251),x68252))
% 192.07/191.92 [6876]~P2(f317(f317(f226(a1),x68761),x68762))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x68761),a87)),x68762))
% 192.07/191.92 [7005]E(f317(f317(f141(a903),x70051),f129(a903,f317(f292(a903,f317(a102,x70051)),x70052))),f129(a903,f317(f292(a903,x70051),x70052)))+~P2(f317(f317(f227(a903),x70051),x70052))
% 192.07/191.92 [7209]E(x72091,x72092)+~E(f317(f317(f3(a1),f317(f317(f74(a1),x72091),x72091)),a87),f317(f317(f3(a1),f317(f317(f74(a1),x72092),x72092)),a87))
% 192.07/191.92 [7212]E(x72121,f103(x72122))+E(f256(x72122,f317(f317(f144(x72122,f909(a89,x72122)),f317(f242(a89,x72122),f72(a89))),x72121)),f265(x72122,x72121))
% 192.07/191.92 [7448]P2(f317(f317(f226(a1),x74481),x74482))+~P2(f317(f317(f227(a1),f317(f317(f74(a1),x74481),a87)),x74482))
% 192.07/191.92 [7920]~P2(f317(f317(f227(a903),x79201),x79202))+P2(f317(f317(f319(f909(a903,a903)),f317(f317(f242(a903,a903),x79201),x79202)),a230))
% 192.07/191.92 [8140]~P2(f317(f317(f227(a89),f2(a89)),x81401))+P2(f317(f317(f227(a89),f317(f241(a89,f909(a89,a89)),f317(f257(x81401),x81402))),x81401))
% 192.07/191.92 [8404]~P38(x84041,x84042)+P38(x84041,f317(f317(f100(f910(f909(x84041,x84041),a898)),x84042),f297(x84041,f178(f910(f909(x84041,x84041),a898)))))
% 192.07/191.92 [8405]~P39(x84051,x84052)+P39(x84051,f317(f317(f100(f910(f909(x84051,x84051),a898)),x84052),f297(x84051,f178(f910(f909(x84051,x84051),a898)))))
% 192.07/191.92 [8453]~P85(x84531)+P2(f317(f317(f226(x84531),f317(f70(x84531),f317(f155(x84531),x84532))),f317(f155(x84531),f317(f317(f144(x84531,x84531),f70(x84531)),x84532))))
% 192.07/191.92 [8479]P2(f317(f317(f227(a903),x84791),x84792))+~P2(f317(f317(f319(f909(a903,a903)),f317(f317(f242(a903,a903),x84791),x84792)),a230))
% 192.07/191.92 [8627]E(f317(f317(f242(x86271,x86271),f727(x86272,x86271)),f727(x86272,x86271)),x86272)+~P2(f317(f317(f319(f909(x86271,x86271)),x86272),f297(x86271,f178(f910(f909(x86271,x86271),a898)))))
% 192.07/191.92 [8671]E(f317(f292(a903,x86711),f317(f317(f74(a903),x86711),f317(f30(a903),x86712))),x86712)+~P2(f317(f317(f226(f910(a903,a898)),x86712),f317(f292(a903,x86711),f317(f317(f74(a903),x86711),f317(f30(a903),x86712)))))
% 192.07/191.92 [8901]P39(x89011,x89012)+~P39(x89011,f317(f317(f100(f910(f909(x89011,x89011),a898)),x89012),f297(x89011,f178(f910(f909(x89011,x89011),a898)))))
% 192.07/191.92 [9027]E(f317(f317(f31(a1),f317(f93(a1),f317(f317(f3(a1),f317(f317(f74(a1),x90271),x90271)),a87))),f317(f93(a1),f317(f317(f74(a1),x90272),x90272))),f317(f317(f31(a1),f317(f93(a1),x90271)),f317(f93(a1),x90272)))+~P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x90272)))
% 192.07/191.92 [9117]~P38(x91171,x91172)+P2(f317(f317(f226(f910(f909(x91171,x91171),a898)),f317(f317(f279(x91171,x91171,x91171),x91172),x91172)),x91172))
% 192.07/191.92 [9143]E(f167(f904(x91431),f317(f317(f10(a898,a898,f904(x91431)),a312),f317(f317(f9(f904(x91431),f904(x91431),a898),a314),f103(x91431))),x91432),f169(x91431,f169(x91431,x91432)))+~P14(a903,f317(f158(a903),f317(f317(f144(f904(x91431),a903),f179(f904(x91431))),x91432)))
% 192.07/191.92 [9146]E(f317(f317(f31(a1),f317(f93(a1),f317(f317(f3(a1),f317(f317(f74(a1),x91461),x91461)),a87))),f317(f93(a1),f317(f317(f74(a1),x91462),x91462))),f317(f317(f31(a1),f317(f317(f74(a1),f317(f93(a1),x91461)),f72(a1))),f317(f93(a1),x91462)))+P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x91462)))
% 192.07/191.92 [9998]P2(f317(a183,x99982))+E(f317(f317(f80(a1,a903),f317(f317(f3(a1),x99981),x99982)),f317(f317(f20(a1,a903,a903),f317(f317(f9(a1,a903,f910(a903,a903)),f317(f317(f10(a898,f910(a903,f910(a903,a903)),a1),f86(a903)),a183)),f2(a903))),a94)),f317(f317(f3(a903),f317(a94,x99981)),f317(a94,x99982)))
% 192.07/191.92 [10006]E(f317(f317(f80(a1,a903),f317(f93(a1),f317(f317(f74(a1),x100061),f317(f73(a1),x100062)))),f317(f317(f20(a1,a903,a903),f317(f317(f9(a1,a903,f910(a903,a903)),f317(f317(f10(a898,f910(a903,f910(a903,a903)),a1),f86(a903)),a183)),f2(a903))),a94)),f317(f317(f3(a903),f317(f93(a903),x100061)),f317(f93(a903),x100062)))+P2(f317(f317(f227(a1),x100062),a77))
% 192.07/191.92 [10007]~P27(x100071,x100072)+P2(f317(f317(f226(f910(f909(x100071,x100071),a898)),f317(f317(f279(x100071,x100071,x100071),f317(f241(f910(f909(x100071,x100071),a898),f910(f909(x100071,x100071),a898)),x100072)),f317(f246(f910(f909(x100071,x100071),a898),f910(f909(x100071,x100071),a898)),x100072))),f317(f241(f910(f909(x100071,x100071),a898),f910(f909(x100071,x100071),a898)),x100072)))
% 192.07/191.92 [10062]~E(f317(f30(a903),f317(f252(a903),f317(f317(f20(a903,a898,a898),f317(f317(f10(a898,f910(a898,a898),a903),a315),f317(f317(f9(a903,f910(a903,a898),a898),f319(a903)),x100621))),f317(f317(f9(a903,a903,a898),f227(a903)),f317(a102,x100622))))),f2(a903))+~P2(f317(f317(f319(a903),f2(a903)),x100621))
% 192.07/191.92 [10074]E(f289(a903,f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x100741,x100742),f178(f910(a903,a898)))+~P2(f317(f317(f277(a903),x100742),x100741))
% 192.07/191.92 [10079]E(f290(a903,f277(a903),f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x100791,x100792),f178(f910(a903,a898)))+P2(f317(f317(f277(a903),x100791),x100792))
% 192.07/191.92 [10080]E(f287(a903,f277(a903),f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x100801,x100802),f178(f910(a903,a898)))+P2(f317(f317(f277(a903),x100801),x100802))
% 192.07/191.92 [10084]E(f290(a903,f277(a903),f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x100841,x100842),f178(f910(a903,a898)))+~P2(f317(f317(f277(a903),x100842),x100841))
% 192.07/191.92 [10086]E(f287(a903,f277(a903),f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x100861,x100862),f178(f910(a903,a898)))+~P2(f317(f317(f277(a903),x100862),x100861))
% 192.07/191.92 [10129]E(f41(a1,f317(f93(a1),f317(f317(f3(a1),f317(f317(f74(a1),x101291),x101291)),a87)),f317(f93(a1),f317(f317(f74(a1),x101292),x101292))),f317(f317(f74(a1),f317(f317(f75(a1),f317(f93(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)))),f41(a1,f317(f93(a1),x101291),f317(f93(a1),x101292)))),f72(a1)))+~P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x101292)))
% 192.07/191.92 [10138]E(f41(a1,f317(f93(a1),f317(f317(f3(a1),f317(f317(f74(a1),x101381),x101381)),a87)),f317(f93(a1),f317(f317(f74(a1),x101382),x101382))),f317(f317(f3(a1),f317(f317(f75(a1),f317(f93(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)))),f41(a1,f317(f317(f74(a1),f317(f93(a1),x101381)),f72(a1)),f317(f93(a1),x101382)))),f72(a1)))+P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x101382)))
% 192.07/191.92 [10192]~P6(x101921)+E(f32(x101921,f317(f252(x101921),f317(f317(f10(f910(x101921,a898),a898,x101921),f82(x101921)),f317(f317(f10(f910(x101921,a898),f910(x101921,a898),x101921),f317(f20(x101921,a898,a898),f317(f317(f10(a898,f910(a898,a898),x101921),a320),f317(f317(f9(x101921,f910(x101921,a898),a898),f319(x101921)),x101922)))),f226(x101921))))),f33(x101921,x101922))
% 192.07/191.92 [10216]~P37(x102161,x102162)+P59(x102161,f317(f317(f9(x102161,f910(f909(x102161,x102161),a898),f910(x102161,a898)),f317(f317(f10(f910(x102161,f910(f910(f909(x102161,x102161),a898),a898)),f910(f910(f909(x102161,x102161),a898),f910(x102161,a898)),x102161),f9(x102161,f910(f909(x102161,x102161),a898),a898)),f317(f317(f10(f910(x102161,f909(x102161,x102161)),f910(x102161,f910(f910(f909(x102161,x102161),a898),a898)),x102161),f317(f10(f909(x102161,x102161),f910(f910(f909(x102161,x102161),a898),a898),x102161),f319(f909(x102161,x102161)))),f242(x102161,x102161)))),x102162))
% 192.07/191.92 [10217]~P9(x102171,f232(f910(x102171,a898)),x102172)+P8(x102171,f317(f317(f9(x102171,f910(f909(x102171,x102171),a898),f910(x102171,a898)),f317(f317(f10(f910(x102171,f910(f910(f909(x102171,x102171),a898),a898)),f910(f910(f909(x102171,x102171),a898),f910(x102171,a898)),x102171),f9(x102171,f910(f909(x102171,x102171),a898),a898)),f317(f317(f10(f910(x102171,f909(x102171,x102171)),f910(x102171,f910(f910(f909(x102171,x102171),a898),a898)),x102171),f317(f10(f909(x102171,x102171),f910(f910(f909(x102171,x102171),a898),a898),x102171),f319(f909(x102171,x102171)))),f242(x102171,x102171)))),x102172))
% 192.07/191.92 [10260]P37(x102601,x102602)+~P59(x102601,f317(f317(f9(x102601,f910(f909(x102601,x102601),a898),f910(x102601,a898)),f317(f317(f10(f910(x102601,f910(f910(f909(x102601,x102601),a898),a898)),f910(f910(f909(x102601,x102601),a898),f910(x102601,a898)),x102601),f9(x102601,f910(f909(x102601,x102601),a898),a898)),f317(f317(f10(f910(x102601,f909(x102601,x102601)),f910(x102601,f910(f910(f909(x102601,x102601),a898),a898)),x102601),f317(f10(f909(x102601,x102601),f910(f910(f909(x102601,x102601),a898),a898),x102601),f319(f909(x102601,x102601)))),f242(x102601,x102601)))),x102602))
% 192.07/191.92 [10261]P9(x102611,f232(f910(x102611,a898)),x102612)+~P8(x102611,f317(f317(f9(x102611,f910(f909(x102611,x102611),a898),f910(x102611,a898)),f317(f317(f10(f910(x102611,f910(f910(f909(x102611,x102611),a898),a898)),f910(f910(f909(x102611,x102611),a898),f910(x102611,a898)),x102611),f9(x102611,f910(f909(x102611,x102611),a898),a898)),f317(f317(f10(f910(x102611,f909(x102611,x102611)),f910(x102611,f910(f910(f909(x102611,x102611),a898),a898)),x102611),f317(f10(f909(x102611,x102611),f910(f910(f909(x102611,x102611),a898),a898),x102611),f319(f909(x102611,x102611)))),f242(x102611,x102611)))),x102612))
% 192.07/191.92 [7395]E(f317(f317(f74(a903),f317(f93(a903),f317(f317(f3(a1),x73951),a87))),x73952),f317(a102,f317(f317(f74(a903),f317(f93(a903),x73951)),x73952)))+P2(f317(a183,f317(f93(a1),x73951)))
% 192.07/191.92 [7837]~P93(x78371)+E(f317(f317(f74(x78371),f317(f317(f74(x78371),f72(x78371)),f317(f93(x78371),x78372))),f317(f93(x78371),x78372)),f317(f93(x78371),f317(f317(f3(a1),f317(f317(f74(a1),x78372),x78372)),a87)))
% 192.07/191.92 [8481]~P2(f317(f317(f226(a1),x84811),x84812))+P2(f317(f317(f226(a1),f317(f317(f74(a1),x84811),x84811)),f317(f317(f3(a1),f317(f317(f74(a1),x84812),x84812)),a87)))
% 192.07/191.92 [8483]~P2(f317(f317(f226(a1),x84831),x84832))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x84831),x84831)),f317(f317(f3(a1),f317(f317(f74(a1),x84832),x84832)),a87)))
% 192.07/191.92 [8912]P2(f317(f317(f226(a1),x89121),x89122))+~P2(f317(f317(f226(a1),f317(f317(f74(a1),x89121),x89121)),f317(f317(f3(a1),f317(f317(f74(a1),x89122),x89122)),a87)))
% 192.07/191.92 [8914]P2(f317(f317(f226(a1),x89141),x89142))+~P2(f317(f317(f227(a1),f317(f317(f74(a1),x89141),x89141)),f317(f317(f3(a1),f317(f317(f74(a1),x89142),x89142)),a87)))
% 192.07/191.92 [9202]~P2(f317(f317(f226(a1),x92021),x92022))+P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92021),x92021)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x92022),x92022)),a87)))
% 192.07/191.92 [9204]~P2(f317(f317(f227(a1),x92041),x92042))+P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x92041),x92041)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x92042),x92042)),a87)))
% 192.07/191.92 [9476]P2(f317(f317(f226(a1),x94761),x94762))+~P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),x94761),x94761)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x94762),x94762)),a87)))
% 192.07/191.92 [9478]P2(f317(f317(f227(a1),x94781),x94782))+~P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),x94781),x94781)),a87)),f317(f317(f3(a1),f317(f317(f74(a1),x94782),x94782)),a87)))
% 192.07/191.92 [9511]~P2(f317(f29(x95111),x95112))+P2(f317(f29(f910(x95111,a898)),f317(f252(f910(x95111,a898)),f317(f317(f9(f910(x95111,a898),f910(x95111,a898),a898),f226(f910(x95111,a898))),x95112))))
% 192.07/191.92 [9563]~E(f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),x95631),f178(f910(f909(a903,a903),a898)))),f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),x95632),f178(f910(f909(a903,a903),a898)))))+P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),x95631),x95632)),a98))
% 192.07/191.92 [9657]E(f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),x96571),f178(f910(f909(a903,a903),a898)))),f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),x96572),f178(f910(f909(a903,a903),a898)))))+~P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),x96571),x96572)),a98))
% 192.07/191.92 [9694]P2(f317(f317(f226(a1),f2(a1)),f741(x96941,x96942)))+E(f317(f252(a1),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),x96941)),f317(f252(a1),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),x96942)))
% 192.07/191.92 [10200]~P6(x102001)+E(f33(x102001,f317(f252(x102001),f317(f317(f10(f910(x102001,a898),a898,x102001),f82(x102001)),f317(f317(f10(f910(x102001,a898),f910(x102001,a898),x102001),f317(f20(x102001,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102001),a320),f317(f317(f9(x102001,f910(x102001,a898),a898),f319(x102001)),x102002)))),f317(f9(x102001,x102001,a898),f226(x102001)))))),f32(x102001,x102002))
% 192.07/191.92 [10222]P2(f317(f317(f319(a903),f2(a903)),x102221))+E(f317(f30(a903),f317(f252(a903),f317(f317(f20(a903,a898,a898),f317(f317(f10(a898,f910(a898,a898),a903),a315),f317(f317(f9(a903,f910(a903,a898),a898),f317(f317(f10(a903,f910(f910(a903,a898),a898),a903),f319(a903)),a102)),x102221))),f317(f317(f9(a903,a903,a898),f227(a903)),x102222)))),f317(f30(a903),f317(f252(a903),f317(f317(f20(a903,a898,a898),f317(f317(f10(a898,f910(a898,a898),a903),a315),f317(f317(f9(a903,f910(a903,a898),a898),f319(a903)),x102221))),f317(f317(f9(a903,a903,a898),f227(a903)),f317(a102,x102222))))))
% 192.07/191.92 [10280]P2(f317(f317(f277(a903),x102801),x102802))+~P2(f317(f317(f319(a903),x102802),f285(a903,f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x102801)))
% 192.07/191.92 [10281]P2(f317(f317(f277(a903),x102811),x102812))+~P2(f317(f317(f319(a903),x102811),f288(a903,f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x102812)))
% 192.07/191.92 [10282]~P2(f317(f317(f277(a903),x102821),x102822))+~P2(f317(f317(f319(a903),x102822),f288(a903,f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x102821)))
% 192.07/191.92 [10283]~P2(f317(f317(f277(a903),x102831),x102832))+~P2(f317(f317(f319(a903),x102831),f285(a903,f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x102832)))
% 192.07/191.92 [7704]~P93(x77041)+E(f317(f317(f75(x77041),x77042),f317(f93(x77041),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),x77042)
% 192.07/191.92 [7968]~P93(x79681)+E(f317(f317(f74(x79681),f317(f93(x79681),x79682)),f72(x79681)),f317(f93(x79681),f317(f317(f74(a1),x79682),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))))
% 192.07/191.92 [8112]P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x81122)))+E(f317(f317(f234(a1),x81121),f317(f93(a903),f317(f317(f3(a1),f317(f317(f74(a1),x81122),x81122)),a87))),f72(a1))
% 192.07/191.92 [9538]~P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x95382)))+E(f317(f317(f234(a1),x95381),f317(f93(a903),f317(f317(f3(a1),f317(f317(f74(a1),x95382),x95382)),a87))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x95381),f317(f93(a903),x95382))),f317(f317(f20(a1,a1,a1),f317(f317(f10(a1,f910(a1,a1),a1),f75(a1)),f317(f75(a1),x95381))),f7(a1))))
% 192.07/191.92 [9917]~P2(f317(f317(f226(a903),f754(x99172,x99171)),f317(x99171,f754(x99172,x99171))))+P2(f317(f29(a903),f317(f252(a903),f317(f317(f9(a903,a903,a898),f317(f317(f10(a903,f910(a903,a898),a903),f226(a903)),x99171)),x99172))))
% 192.07/191.92 [10052]~P2(f317(f317(f226(a903),f317(f93(a903),x100521)),f317(a102,x100522)))+P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x100521),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f9(a1,a903,a898),f317(f317(f10(a903,f910(a903,a898),a1),f226(a903)),a94)),x100522))))
% 192.07/191.92 [10053]~P2(f317(f317(f227(a903),f317(f93(a903),x100531)),f317(a102,x100532)))+P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x100531),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f9(a1,a903,a898),f317(f317(f10(a903,f910(a903,a898),a1),f227(a903)),a94)),x100532))))
% 192.07/191.92 [10113]P2(f317(f317(f226(a903),f317(f93(a903),x101131)),f317(a102,x101132)))+~P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x101131),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f9(a1,a903,a898),f317(f317(f10(a903,f910(a903,a898),a1),f226(a903)),a94)),x101132))))
% 192.07/191.92 [10114]P2(f317(f317(f227(a903),f317(f93(a903),x101141)),f317(a102,x101142)))+~P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x101141),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f9(a1,a903,a898),f317(f317(f10(a903,f910(a903,a898),a1),f227(a903)),a94)),x101142))))
% 192.07/191.92 [10144]~P2(f317(f317(f226(a903),f317(a102,x101442)),f317(f93(a903),x101441)))+P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x101441),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f10(a903,a898,a1),f317(f226(a903),x101442)),a94)))))
% 192.07/191.92 [10145]~P2(f317(f317(f227(a903),f317(a102,x101452)),f317(f93(a903),x101451)))+P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x101451),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f10(a903,a898,a1),f317(f227(a903),x101452)),a94)))))
% 192.07/191.92 [10190]P2(f317(f317(f226(a903),f317(a102,x101901)),f317(f93(a903),x101902)))+~P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x101902),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f10(a903,a898,a1),f317(f226(a903),x101901)),a94)))))
% 192.07/191.92 [10191]P2(f317(f317(f227(a903),f317(a102,x101911)),f317(f93(a903),x101912)))+~P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x101912),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f10(a903,a898,a1),f317(f227(a903),x101911)),a94)))))
% 192.07/191.92 [10270]~P2(f317(f317(f319(a903),f2(a903)),x102701))+E(f317(a102,f317(f30(a903),f317(f252(a903),f317(f317(f20(a903,a898,a898),f317(f317(f10(a898,f910(a898,a898),a903),a315),f317(f317(f9(a903,f910(a903,a898),a898),f317(f317(f10(a903,f910(f910(a903,a898),a898),a903),f319(a903)),a102)),x102701))),f317(f317(f9(a903,a903,a898),f227(a903)),x102702))))),f317(f30(a903),f317(f252(a903),f317(f317(f20(a903,a898,a898),f317(f317(f10(a898,f910(a898,a898),a903),a315),f317(f317(f9(a903,f910(a903,a898),a898),f319(a903)),x102701))),f317(f317(f9(a903,a903,a898),f227(a903)),f317(a102,x102702))))))
% 192.07/191.92 [8654]~P93(x86541)+E(f317(f317(f75(x86541),f317(f93(x86541),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),x86542),x86542)
% 192.07/191.92 [8715]~P93(x87151)+E(f317(f317(f74(x87151),f72(x87151)),f317(f93(x87151),x87152)),f317(f93(x87151),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x87152)))
% 192.07/191.92 [8777]~P93(x87771)+E(f317(f317(f3(x87771),f317(f93(x87771),x87772)),f72(x87771)),f317(f93(x87771),f317(f317(f74(a1),x87772),f317(f73(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 192.07/191.92 [8931]~P2(f317(f317(f227(a903),f317(f93(a903),a77)),x89312))+E(f317(f317(f3(a903),x89311),f317(f317(f3(a903),x89312),f317(f93(a903),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f3(a903),f317(a102,x89311)),x89312))
% 192.07/191.92 [9581]~P118(x95811)+E(f317(f317(f75(x95811),x95812),x95812),f317(f317(f234(x95811),x95812),f317(f93(a903),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)))))
% 192.07/191.92 [9582]~P81(x95821)+E(f317(f317(f234(x95821),x95822),f317(f93(a903),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(x95821),x95822),x95822))
% 192.07/191.92 [9584]~P93(x95841)+E(f317(f317(f75(x95841),x95842),f317(f93(x95841),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(x95841),x95842),x95842))
% 192.07/191.92 [9833]~P117(x98331)+E(f317(f317(f234(x98331),f317(f70(x98331),x98332)),f317(f93(a903),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(x98331),x98332),f317(f93(a903),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)))))
% 192.07/191.92 [9834]~P141(x98341)+E(f317(f317(f234(x98341),f317(f73(x98341),x98342)),f317(f93(a903),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(x98341),x98342),f317(f93(a903),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)))))
% 192.07/191.92 [9830]~P93(x98301)+E(f317(f317(f75(x98301),f317(f93(x98301),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)))),x98302),f317(f317(f74(x98301),x98302),x98302))
% 192.07/191.92 [9950]~P117(x99501)+E(f317(f70(x99501),f317(f317(f234(x99501),x99502),f317(f93(a903),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(x99501),x99502),f317(f93(a903),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)))))
% 192.07/191.92 [10014]~P117(x100141)+P2(f317(f317(f226(x100141),f2(x100141)),f317(f317(f234(x100141),x100142),f317(f93(a903),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))))))
% 192.07/191.92 [10181]~E(f317(a102,x101812),f317(f93(a903),x101811))+P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x101811),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f9(a1,a903,a898),f317(f317(f10(a903,f910(a903,a898),a1),a314),a94)),x101812)))))
% 192.07/191.92 [10182]~E(f317(f93(a903),x101821),f317(a102,x101822))+P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x101821),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f9(a1,a903,a898),f317(f317(f10(a903,f910(a903,a898),a1),a314),a94)),x101822)))))
% 192.07/191.92 [10225]E(f317(a102,x102251),f317(f93(a903),x102252))+~P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x102252),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f9(a1,a903,a898),f317(f317(f10(a903,f910(a903,a898),a1),a314),a94)),x102251)))))
% 192.07/191.92 [10226]E(f317(f93(a903),x102261),f317(a102,x102262))+~P2(f317(f317(f80(a1,a898),f317(f93(a1),f317(f317(f74(a1),x102261),a87))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a320),f317(f317(f10(a898,a898,a1),a312),a183))),f317(f317(f9(a1,a903,a898),f317(f317(f10(a903,f910(a903,a898),a1),a314),a94)),x102262)))))
% 192.07/191.92 [10271]~P16(x102711,x102712)+P2(f317(f317(f319(f910(x102711,a898)),f796(x102712,x102711)),f317(f317(f10(f910(x102711,a898),a898,f910(x102711,a898)),f81(x102711)),f317(f317(f10(f910(x102711,a898),f910(x102711,a898),f910(x102711,a898)),f317(f20(x102711,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102711),a315),f317(f317(f20(x102711,x102711,a898),x102712),f7(x102711))))),f317(f317(f9(f910(x102711,a898),f910(x102711,f910(x102711,a898)),f910(x102711,a898)),f317(f317(f10(f910(f910(x102711,a898),a898),f910(f910(x102711,f910(x102711,a898)),f910(x102711,a898)),f910(x102711,a898)),f10(f910(x102711,a898),a898,x102711)),a314)),x102712)))))
% 192.07/191.92 [10012]~P93(x100121)+E(f317(f317(f234(x100121),f317(f93(x100121),a87)),f317(f317(f75(a903),f317(f93(a903),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)))),x100122)),f72(x100121))
% 192.07/191.92 [10013]~P141(x100131)+E(f317(f317(f234(x100131),f317(f73(x100131),f72(x100131))),f317(f317(f75(a903),f317(f93(a903),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)))),x100132)),f72(x100131))
% 192.07/191.92 [10016]~P81(x100161)+E(f317(f317(f234(x100161),x100162),f317(f93(a903),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(x100161),f317(f317(f75(x100161),x100162),x100162)),x100162))
% 192.07/191.92 [10205]~P2(f317(f317(f226(a1),f2(a1)),x102052))+E(f41(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f93(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)))),x102051)),f317(f317(f75(a1),f317(f93(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)))),x102052)),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f93(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)))),f41(a1,x102051,x102052))))
% 192.07/191.92 [10228]~P2(f317(f317(f226(a1),f2(a1)),x102282))+E(f317(f317(f31(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f93(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)))),x102281))),f317(f317(f75(a1),f317(f93(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)))),x102282)),f317(f317(f31(a1),x102281),x102282))
% 192.07/191.92 [10230]~P2(f317(f317(f226(a1),x102302),f2(a1)))+E(f317(f317(f31(a1),f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f93(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)))),x102301))),f317(f317(f75(a1),f317(f93(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)))),x102302)),f317(f317(f31(a1),f317(f317(f74(a1),x102301),f72(a1))),x102302))
% 192.07/191.92 [10231]~P2(f317(f317(f226(a1),x102312),f2(a1)))+E(f41(a1,f317(f317(f74(a1),f72(a1)),f317(f317(f75(a1),f317(f93(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)))),x102311)),f317(f317(f75(a1),f317(f93(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)))),x102312)),f317(f317(f3(a1),f317(f317(f75(a1),f317(f93(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)))),f41(a1,f317(f317(f74(a1),x102311),f72(a1)),x102312))),f72(a1)))
% 192.07/191.92 [10104]~P93(x101041)+E(f317(f317(f234(x101041),f317(f93(x101041),a87)),f317(a102,f317(f317(f75(a903),f317(f93(a903),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)))),x101042))),f317(f93(x101041),a87))
% 192.07/191.92 [10106]~P141(x101061)+E(f317(f317(f234(x101061),f317(f73(x101061),f72(x101061))),f317(a102,f317(f317(f75(a903),f317(f93(a903),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)))),x101062))),f317(f73(x101061),f72(x101061)))
% 192.07/191.92 [5019]P38(x50191,x50192)+~P9(x50191,x50193,x50192)
% 192.07/191.92 [5021]P51(x50211,x50212)+~P9(x50211,x50213,x50212)
% 192.07/191.92 [5194]~P9(x51941,x51942,x51943)+P52(x51941,x51942,x51943)
% 192.07/191.92 [8178]~E(x81782,x81783)+P34(x81781,x81781,a314,x81782,x81783)
% 192.07/191.92 [8728]E(x87281,x87282)+~P34(x87283,x87283,a314,x87281,x87282)
% 192.07/191.92 [4822]E(f159(x48221,x48222,x48223),f103(x48221))+~E(x48222,f2(a903))
% 192.07/191.92 [4991]~E(f159(x49912,x49911,x49913),f103(x49912))+E(x49911,f2(a903))
% 192.07/191.92 [5199]~P37(x51991,x51993)+P37(x51991,f311(x51991,x51992,x51993))
% 192.07/191.92 [5308]~P29(x53081,x53082,x53083)+P31(a1,x53081,f168(x53082,x53083))
% 192.07/191.92 [5376]P29(x53761,x53762,x53763)+~P31(a1,x53761,f168(x53762,x53763))
% 192.07/191.92 [5450]~P9(x54501,x54502,x54503)+P9(f904(x54501),f151(x54501,x54502),f148(x54501,x54503))
% 192.07/191.92 [5451]~P52(x54511,x54512,x54513)+P52(f904(x54511),f151(x54511,x54512),f148(x54511,x54513))
% 192.07/191.92 [5564]P54(x55641,x55642,x55643)+~E(f696(x55643,x55642,x55641),f697(x55643,x55642,x55641))
% 192.07/191.92 [5565]P55(x55651,x55652,x55653)+~E(f709(x55653,x55652,x55651),f710(x55653,x55652,x55651))
% 192.07/191.92 [8184]~E(x81842,x81843)+P26(x81841,x81841,f25(x81841),x81842,x81843)
% 192.07/191.92 [8736]E(x87361,x87362)+~P26(x87363,x87363,f25(x87363),x87361,x87362)
% 192.07/191.92 [4777]~E(f317(f158(x47772),x47771),x47773)+E(x47771,f317(f158(x47772),x47773))
% 192.07/191.92 [4778]~E(x47782,f317(f158(x47781),x47783))+E(f317(f158(x47781),x47782),x47783)
% 192.07/191.92 [4828]E(x48281,x48282)+~E(f317(f158(x48283),x48281),f317(f158(x48283),x48282))
% 192.07/191.92 [5045]~P8(x50453,x50451)+P2(f317(f317(x50451,x50452),x50452))
% 192.07/191.92 [5046]~P43(x50463,x50461)+P2(f317(f317(x50461,x50462),x50462))
% 192.07/191.92 [5048]~P59(x50481,x50482)+P2(f317(f305(x50481,x50482),x50483))
% 192.07/191.92 [5114]~P37(x51141,x51142)+P37(f904(x51141),f317(f133(x51141,x51142),x51143))
% 192.07/191.92 [5119]~P2(f317(x51192,x51193))+~E(f317(f252(x51191),x51192),f178(f910(x51191,a898)))
% 192.07/191.92 [5120]~P2(f317(x51202,x51203))+~E(f178(f910(x51201,a898)),f317(f252(x51201),x51202))
% 192.07/191.92 [5132]E(x51321,f2(a903))+E(f134(x51322,f159(x51322,x51321,x51323)),x51323)
% 192.07/191.92 [5151]~P2(f317(x51511,x51513))+P2(f317(x51511,f84(x51512,x51511)))
% 192.07/191.92 [5152]~P2(f317(x51521,x51523))+P2(f317(x51521,f679(x51521,x51522)))
% 192.07/191.92 [5164]E(x51641,f2(a903))+E(f317(f131(x51642),f159(x51642,x51641,x51643)),x51643)
% 192.07/191.92 [5270]~E(x52702,x52703)+P2(f317(f317(f319(x52701),x52702),f317(a314,x52703)))
% 192.07/191.92 [5285]~E(x52852,f2(a903))+E(f317(f162(x52851),f159(x52851,x52852,x52853)),f178(f910(x52851,a898)))
% 192.07/191.92 [5330]E(f317(f158(x53301),x53302),f317(f317(f141(x53301),x53303),f103(x53301)))+~E(x53302,f317(f317(f141(x53301),x53303),f103(x53301)))
% 192.07/191.92 [5331]~E(x53313,f317(f317(f141(x53311),x53312),f103(x53311)))+E(f317(f317(f141(x53311),x53312),f103(x53311)),f317(f158(x53311),x53313))
% 192.07/191.92 [5372]~P33(x53721,x53722,x53723)+P33(x53721,x53722,f317(f158(x53721),x53723))
% 192.07/191.92 [5373]~P31(x53731,x53732,x53733)+P31(x53731,x53732,f317(f158(x53731),x53733))
% 192.07/191.92 [5377]E(f317(f30(x53771),f804(x53772,x53773,x53771)),x53772)+~E(f317(f30(x53771),x53773),f317(a102,x53772))
% 192.07/191.92 [5384]~P37(x53841,x53843)+P2(f317(f317(f319(x53841),x53842),f306(x53841,x53843)))
% 192.07/191.92 [5388]~E(f317(f158(x53882),x53881),f317(f317(f141(x53882),x53883),f103(x53882)))+E(x53881,f317(f317(f141(x53882),x53883),f103(x53882)))
% 192.07/191.92 [5389]~E(f317(f317(f141(x53892),x53893),f103(x53892)),f317(f158(x53892),x53891))+E(x53891,f317(f317(f141(x53892),x53893),f103(x53892)))
% 192.07/191.92 [5414]E(f79(f909(a903,a903),f44(x54141,x54142)),x54143)+~P2(f317(f44(x54141,x54142),x54143))
% 192.07/191.92 [5454]P33(x54541,x54542,x54543)+~P33(x54541,x54542,f317(f158(x54541),x54543))
% 192.07/191.92 [5455]P31(x54551,x54552,x54553)+~P31(x54551,x54552,f317(f158(x54551),x54553))
% 192.07/191.92 [5494]P2(f317(f317(x54941,x54942),x54942))+~P2(f317(f260(x54943,x54941),x54942))
% 192.07/191.92 [5495]~P2(f317(f317(x54952,x54953),x54953))+P2(f317(f260(x54951,x54952),x54953))
% 192.07/191.92 [5517]~E(x55172,f103(x55171))+P2(f317(f317(f319(f904(x55171)),x55172),f151(x55171,x55173)))
% 192.07/191.92 [5527]~P52(x55271,x55272,x55273)+P52(x55271,x55272,f317(f276(x55271,x55271),x55273))
% 192.07/191.92 [5528]~P55(x55281,x55282,x55283)+P55(x55281,x55282,f317(f276(x55281,x55281),x55283))
% 192.07/191.92 [5545]~P4(x55451)+E(f41(x55451,f41(x55451,x55452,x55453),x55453),f41(x55451,x55452,x55453))
% 192.07/191.92 [5648]E(x56481,x56482)+~P2(f317(f317(f319(x56483),x56481),f317(a314,x56482)))
% 192.07/191.92 [5695]~P145(x56951)+E(f180(x56951,x56952,f2(a903),x56953),x56953)
% 192.07/191.92 [5717]P52(x57171,x57172,x57173)+~P52(x57171,x57172,f317(f276(x57171,x57171),x57173))
% 192.07/191.92 [5718]P55(x57181,x57182,x57183)+~P55(x57181,x57182,f317(f276(x57181,x57181),x57183))
% 192.07/191.92 [5722]~P108(x57222)+E(f140(x57221,x57222,x57223,f103(x57221)),f103(x57221))
% 192.07/191.92 [5734]E(f160(x57341,x57342,f142(x57341,x57343)),f142(x57341,f160(x57341,x57342,x57343)))+~P2(f317(f127(x57341),x57343))
% 192.07/191.92 [5833]~P2(f317(f317(x58333,x58332),x58332))+P2(f317(f317(f319(x58331),x58332),f260(x58331,x58333)))
% 192.07/191.92 [5835]E(f317(f126(x58351,x58352),x58353),f103(x58351))+P2(f317(x58352,f611(x58353,x58352,x58351)))
% 192.07/191.92 [5903]E(f63(x59031,x59032,x59033),x59032)+P2(f317(x59033,f680(x59032,x59031,x59033)))
% 192.07/191.92 [5999]~P2(f317(f127(x59991),x59992))+P2(f317(f127(x59991),f166(x59991,x59992,x59993)))
% 192.07/191.92 [6000]~P2(f317(f127(x60001),x60003))+P2(f317(f127(x60001),f160(x60001,x60002,x60003)))
% 192.07/191.92 [6001]~P2(f317(f127(x60011),x60013))+P2(f317(f127(x60011),f167(x60011,x60012,x60013)))
% 192.07/191.92 [6002]~P2(f317(f127(x60021),x60023))+P2(f317(f127(x60021),f130(x60021,x60022,x60023)))
% 192.07/191.92 [6003]~P147(x60031,x60032,x60033)+P2(f317(x60031,f41(a1,x60032,x60033)))
% 192.07/191.92 [6020]~P33(x60203,x60201,x60202)+P2(f317(x60201,f699(x60202,x60201,x60203)))
% 192.07/191.92 [6021]~P35(x60213,x60211,x60212)+P2(f317(x60211,f746(x60212,x60211,x60213)))
% 192.07/191.92 [6022]~P35(x60223,x60221,x60222)+P2(f317(x60221,f751(x60222,x60221,x60223)))
% 192.07/191.92 [6023]~P33(x60233,x60231,x60232)+P2(f317(x60231,f768(x60232,x60231,x60233)))
% 192.07/191.92 [6024]~P33(x60243,x60241,x60242)+P2(f317(x60241,f776(x60241,x60242,x60243)))
% 192.07/191.92 [6029]P2(f317(f317(x60291,x60292),x60292))+~P2(f317(f317(f319(x60293),x60292),f260(x60293,x60291)))
% 192.07/191.92 [6044]E(f317(f126(x60441,x60442),x60443),f167(x60441,x60442,x60443))+P2(f317(x60442,f642(x60443,x60442,x60441)))
% 192.07/191.92 [6084]~P2(f317(f127(x60841),x60843))+P2(f317(f127(f904(x60841)),f51(x60841,x60842,x60843)))
% 192.07/191.92 [6120]~P109(x61201)+E(f317(f317(f91(f910(x61201,a898)),f317(f291(x61201),x61202)),f296(x61201,x61202,x61203)),f178(f910(x61201,a898)))
% 192.07/191.92 [6121]~P109(x61211)+E(f317(f317(f91(f910(x61211,a898)),f317(f291(x61211),x61212)),f295(x61211,x61212,x61213)),f178(f910(x61211,a898)))
% 192.07/191.92 [6122]~P109(x61221)+E(f317(f317(f91(f910(x61221,a898)),f317(f272(x61221),x61222)),f293(x61221,x61222,x61223)),f178(f910(x61221,a898)))
% 192.07/191.92 [6357]E(f317(f126(x63571,x63572),x63573),x63573)+~P2(f317(x63572,f612(x63573,x63572,x63571)))
% 192.07/191.92 [6359]E(f317(f317(f299(x63591),f806(x63592,x63593,x63591)),f804(x63592,x63593,x63591)),x63593)+~E(f317(f30(x63591),x63593),f317(a102,x63592))
% 192.07/191.92 [6375]P147(x63751,x63752,x63753)+~P2(f317(x63751,f41(a1,x63752,x63753)))
% 192.07/191.92 [6428]P31(x64281,x64282,x64283)+~P2(f317(x64282,f747(x64283,x64282,x64281)))
% 192.07/191.92 [6429]P31(x64291,x64292,x64293)+~P2(f317(x64292,f749(x64292,x64293,x64291)))
% 192.07/191.92 [6430]P31(x64301,x64302,x64303)+~P2(f317(x64302,f750(x64303,x64302,x64301)))
% 192.07/191.92 [6431]P29(x64311,x64312,x64313)+~P2(f317(x64311,f769(x64313,x64312,x64311)))
% 192.07/191.92 [6432]P30(x64321,x64322,x64323)+~P2(f317(x64321,f837(x64323,x64322,x64321)))
% 192.07/191.92 [6434]E(f167(x64341,x64342,x64343),x64343)+~P2(f317(x64342,f638(x64343,x64342,x64341)))
% 192.07/191.92 [6515]~P2(f317(x65152,f586(x65153,x65152,x65151)))+P2(f317(f238(x65151,x65152),x65153))
% 192.07/191.92 [6516]~P2(f317(x65162,f613(x65163,x65162,x65161)))+P2(f317(f150(x65161,x65162),x65163))
% 192.07/191.92 [6772]~P2(f317(f305(x67721,x67722),f456(x67723,x67722,x67721)))+P2(f317(f305(x67721,x67722),x67723))
% 192.07/191.92 [6773]~P2(f317(f305(x67731,x67732),f464(x67733,x67732,x67731)))+P2(f317(f305(x67731,x67732),x67733))
% 192.07/191.92 [7396]~P4(x73961)+E(f317(f317(f74(x73961),f317(f317(f75(x73961),x73962),f317(f317(f31(x73961),x73963),x73962))),f41(x73961,x73963,x73962)),x73963)
% 192.07/191.92 [7426]P29(x74261,x74262,x74263)+P2(f317(f317(f319(a1),f769(x74263,x74262,x74261)),f293(a1,x74262,x74263)))
% 192.07/191.92 [7858]E(f317(f317(f242(x78581,x78581),f467(x78582,x78583,x78581)),f467(x78582,x78583,x78581)),x78583)+~P2(f317(f317(f319(f909(x78581,x78581)),x78583),f253(x78581,x78582)))
% 192.07/191.92 [7976]~P2(f317(f317(f319(x79761),f519(x79763,x79762,x79761)),f306(x79761,x79763)))+P2(f317(f317(f319(x79761),x79762),f306(x79761,x79763)))
% 192.07/191.92 [7977]~P2(f317(f317(f319(x79771),f683(x79773,x79772,x79771)),f306(x79771,x79773)))+P2(f317(f317(f319(x79771),x79772),f306(x79771,x79773)))
% 192.07/191.92 [7978]~P2(f317(f317(f319(x79781),f691(x79783,x79782,x79781)),f306(x79781,x79783)))+P2(f317(f317(f319(x79781),x79782),f306(x79781,x79783)))
% 192.07/191.92 [8071]P33(a1,x80711,f168(x80712,x80713))+P29(f317(f67(a898,a898,a1,a312),x80711),x80712,x80713)
% 192.07/191.92 [8159]~P4(x81591)+E(f317(f317(f74(x81591),f317(f317(f75(x81591),f317(f317(f31(x81591),x81592),x81593)),x81593)),f41(x81591,x81592,x81593)),x81592)
% 192.07/191.92 [8205]~E(f317(f30(x82051),x82052),f317(a102,x82053))+~P2(f317(f317(f319(x82051),f806(x82053,x82052,x82051)),f804(x82053,x82052,x82051)))
% 192.07/191.92 [8646]~P33(a1,x86461,f168(x86462,x86463))+~P29(f317(f67(a898,a898,a1,a312),x86461),x86462,x86463)
% 192.07/191.92 [8833]P2(f317(f317(f226(f910(f909(x88331,x88331),a898)),f297(x88331,x88332)),f297(x88331,x88333)))+~P2(f317(f317(f226(f910(f909(x88331,x88331),a898)),x88332),f297(x88331,x88333)))
% 192.07/191.92 [9113]E(x91131,f103(x91132))+~P2(f317(f317(f319(f909(f904(x91132),f904(x91132))),f317(f317(f242(f904(x91132),f904(x91132)),x91131),f103(x91132))),f148(x91132,x91133)))
% 192.07/191.92 [9137]E(x91371,f103(x91372))+~P2(f317(f317(f319(f909(f904(x91372),f904(x91372))),f317(f317(f242(f904(x91372),f904(x91372)),f103(x91372)),x91371)),f148(x91372,x91373)))
% 192.07/191.92 [9262]E(f317(f317(f141(x92621),f570(x92622,x92623,x92621)),f580(x92622,x92623,x92621)),x92623)+~P2(f317(f317(f319(f909(f904(x92621),f904(x92621))),f317(f317(f242(f904(x92621),f904(x92621)),f103(x92621)),x92623)),f137(x92621,x92622)))
% 192.07/191.92 [9504]~P125(x95041)+~P2(f317(f317(f227(x95041),f317(f317(f74(x95041),f317(f317(f75(x95041),x95042),x95042)),f317(f317(f75(x95041),x95043),x95043))),f2(x95041)))
% 192.07/191.92 [9555]P2(f317(f29(x95551),x95552))+~P2(f317(f317(f319(f909(f910(x95551,a898),f910(x95551,a898))),f317(f317(f242(f910(x95551,a898),f910(x95551,a898)),x95553),x95552)),f304(x95551)))
% 192.07/191.92 [9859]~P47(x98591,x98592,x98593)+P2(f317(f317(f226(a1),f317(f317(f67(f909(a1,a1),a1,x98591,f241(a1,a1)),f202(x98591)),f220(x98591,x98592,f217(x98591,x98593)))),f2(a1)))
% 192.07/191.92 [9860]~P48(x98601,x98602,x98603)+P2(f317(f317(f227(a1),f317(f317(f67(f909(a1,a1),a1,x98601,f241(a1,a1)),f202(x98601)),f220(x98601,x98602,f217(x98601,x98603)))),f2(a1)))
% 192.07/191.92 [9980]P48(x99801,x99802,x99803)+~P2(f317(f317(f227(a1),f317(f317(f67(f909(a1,a1),a1,x99801,f241(a1,a1)),f202(x99801)),f220(x99801,x99802,f217(x99801,x99803)))),f2(a1)))
% 192.07/191.92 [9981]P47(x99811,x99812,x99813)+~P2(f317(f317(f226(a1),f317(f317(f67(f909(a1,a1),a1,x99811,f241(a1,a1)),f202(x99811)),f220(x99811,x99812,f217(x99811,x99813)))),f2(a1)))
% 192.07/191.92 [10333]~P117(x103331)+~P2(f317(f317(f227(x103331),f317(f317(f74(x103331),f317(f317(f234(x103331),x103332),f317(f93(a903),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(x103331),x103333),f317(f93(a903),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(x103331)))
% 192.07/191.92 [4807]~E(x48073,f103(x48071))+E(f317(f317(f124(x48071),x48072),x48073),x48072)
% 192.07/191.92 [4808]~E(x48082,f103(x48081))+E(f317(f317(f124(x48081),x48082),x48083),x48083)
% 192.07/191.92 [4814]~E(x48142,f2(a903))+E(f317(f317(f165(x48141),x48142),x48143),f103(x48141))
% 192.07/191.92 [4823]~E(x48233,f103(x48231))+E(f317(f317(f165(x48231),x48232),x48233),f103(x48231))
% 192.07/191.92 [4862]~E(x48621,x48623)+E(x48621,f317(f317(f124(x48622),f103(x48622)),x48623))
% 192.07/191.92 [4953]~P66(x49532)+E(f317(f178(f910(x49531,x49532)),x49533),f178(x49532))
% 192.07/191.92 [4954]~P114(x49542)+E(f317(f232(f910(x49541,x49542)),x49543),f232(x49542))
% 192.07/191.92 [4973]E(x49731,f103(x49732))+~E(f317(f317(f124(x49732),x49733),x49731),x49733)
% 192.07/191.92 [4974]E(x49741,f103(x49742))+~E(f317(f317(f124(x49742),x49741),x49743),x49743)
% 192.07/191.92 [4982]E(x49821,f103(x49822))+~E(f317(f317(f124(x49822),x49823),x49821),f103(x49822))
% 192.07/191.92 [4983]E(x49831,f103(x49832))+~E(f317(f317(f124(x49832),x49831),x49833),f103(x49832))
% 192.07/191.92 [5012]~E(x50122,f2(a903))+E(f317(f317(f75(a903),x50121),x50122),f317(f317(f75(a903),x50123),x50122))
% 192.07/191.92 [5014]~E(x50141,f2(a903))+E(f317(f317(f75(a903),x50141),x50142),f317(f317(f75(a903),x50141),x50143))
% 192.07/191.92 [5072]~P118(x50721)+E(f317(f317(f75(x50721),x50722),x50723),f317(f317(f75(x50721),x50723),x50722))
% 192.07/191.92 [5073]~P118(x50731)+E(f317(f317(f74(x50731),x50732),x50733),f317(f317(f74(x50731),x50733),x50732))
% 192.07/191.92 [5075]~P101(x50751)+E(f317(f317(f100(x50751),x50752),x50753),f317(f317(f100(x50751),x50753),x50752))
% 192.07/191.92 [5076]~P102(x50761)+E(f317(f317(f100(x50761),x50762),x50763),f317(f317(f100(x50761),x50763),x50762))
% 192.07/191.92 [5077]~P102(x50771)+E(f317(f317(f91(x50771),x50772),x50773),f317(f317(f91(x50771),x50773),x50772))
% 192.07/191.92 [5079]~P104(x50791)+E(f317(f317(f91(x50791),x50792),x50793),f317(f317(f91(x50791),x50793),x50792))
% 192.07/191.92 [5081]~P108(x50811)+E(f317(f317(f224(x50811),x50812),x50813),f317(f317(f224(x50811),x50813),x50812))
% 192.07/191.92 [5083]~P108(x50831)+E(f317(f317(f225(x50831),x50832),x50833),f317(f317(f225(x50831),x50833),x50832))
% 192.07/191.92 [5146]E(f41(a903,x51461,x51462),f2(a903))+~E(x51461,f317(f317(f75(a903),x51462),x51463))
% 192.07/191.92 [5147]E(f41(a1,x51471,x51472),f2(a1))+~E(x51471,f317(f317(f75(a1),x51472),x51473))
% 192.07/191.92 [5211]E(x52111,x52112)+~E(f317(f317(f74(a903),x52113),x52111),f317(f317(f74(a903),x52113),x52112))
% 192.07/191.92 [5212]E(x52121,x52122)+~E(f317(f317(f74(a903),x52121),x52123),f317(f317(f74(a903),x52122),x52123))
% 192.07/191.92 [5222]~P68(x52221)+E(f317(f317(f74(x52221),x52222),f317(f73(x52221),x52223)),f317(f317(f3(x52221),x52222),x52223))
% 192.07/191.92 [5223]~P76(x52231)+E(f317(f317(f74(x52231),x52232),f317(f73(x52231),x52233)),f317(f317(f3(x52231),x52232),x52233))
% 192.07/191.92 [5224]~P112(x52241)+E(f317(f317(f74(x52241),x52242),f317(f73(x52241),x52243)),f317(f317(f3(x52241),x52242),x52243))
% 192.07/191.92 [5225]~P96(x52251)+E(f317(f317(f91(x52251),x52252),f317(f73(x52251),x52253)),f317(f317(f3(x52251),x52252),x52253))
% 192.07/191.92 [5226]~P76(x52261)+E(f317(f317(f3(x52261),x52262),f317(f73(x52261),x52263)),f317(f317(f74(x52261),x52262),x52263))
% 192.07/191.92 [5264]~P2(f317(x52643,x52642))+P2(f317(f317(f319(x52641),x52642),x52643))
% 192.07/191.92 [5266]~P71(x52662)+E(f317(f317(f11(x52661,x52662),x52663),f178(f910(x52661,a898))),f72(x52662))
% 192.07/191.92 [5268]~P75(x52682)+E(f317(f317(f8(x52681,x52682),x52683),f178(f910(x52681,a898))),f2(x52682))
% 192.07/191.92 [5320]~E(x53202,f317(f317(f74(a903),x53201),x53203))+P2(f317(f317(f226(a903),x53201),x53202))
% 192.07/191.92 [5323]~E(x53232,f178(f910(x53231,a898)))+E(f317(f317(f56(x53231),x53232),x53233),f178(f910(f910(x53231,a898),a898)))
% 192.07/191.92 [5324]~E(x53242,f178(f910(x53241,a898)))+E(f178(f910(f910(x53241,a898),a898)),f317(f317(f56(x53241),x53242),x53243))
% 192.07/191.92 [5393]~E(f317(f274(x53932,x53933),x53931),f178(f910(x53933,a898)))+E(x53931,f178(f910(f909(x53932,x53933),a898)))
% 192.07/191.92 [5394]~E(f317(f254(x53942,x53943),x53941),f178(f910(x53942,a898)))+E(x53941,f178(f910(f909(x53942,x53943),a898)))
% 192.07/191.92 [5427]E(f317(f274(x54271,x54272),x54273),f178(f910(x54272,a898)))+~E(x54273,f178(f910(f909(x54271,x54272),a898)))
% 192.07/191.92 [5428]E(f317(f254(x54281,x54282),x54283),f178(f910(x54281,a898)))+~E(x54283,f178(f910(f909(x54281,x54282),a898)))
% 192.07/191.92 [5432]E(f264(x54321,x54322,x54323),f317(f317(f3(a89),x54322),x54323))+P2(f317(f317(f227(a89),x54322),x54323))
% 192.07/191.92 [5448]P2(f317(x54481,x54482))+~P2(f317(f317(f319(x54483),x54482),x54481))
% 192.07/191.92 [5487]E(x54871,x54872)+~E(f317(f73(f910(x54873,a898)),x54871),f317(f73(f910(x54873,a898)),x54872))
% 192.07/191.92 [5498]~E(x54981,f178(f910(x54982,a898)))+~P2(f317(f317(f319(x54982),x54983),x54981))
% 192.07/191.92 [5529]~E(x55292,f317(f317(f74(a1),x55291),f317(f90(a1),x55293)))+P2(f317(f317(f226(a1),x55291),x55292))
% 192.07/191.92 [5543]E(f317(f317(f299(x55431),x55432),x55433),x55433)+~P2(f317(f317(f319(x55431),x55432),x55433))
% 192.07/191.92 [5554]E(x55541,f178(f910(x55542,a898)))+~E(f317(f317(f56(x55542),x55541),x55543),f178(f910(f910(x55542,a898),a898)))
% 192.07/191.92 [5555]E(x55551,f178(f910(x55552,a898)))+~E(f178(f910(f910(x55552,a898),a898)),f317(f317(f56(x55552),x55551),x55553))
% 192.07/191.92 [5562]~P128(x55621)+E(f317(f317(f75(x55621),f317(f73(x55621),x55622)),f317(f73(x55621),x55623)),f317(f317(f75(x55621),x55622),x55623))
% 192.07/191.92 [5563]~P61(x55631)+E(f317(f317(f281(x55631),f317(f73(x55631),x55632)),f317(f73(x55631),x55633)),f317(f317(f281(x55631),x55632),x55633))
% 192.07/191.92 [5595]~P2(f317(x55953,x55952))+P2(f317(f317(f319(x55951),x55952),f317(f252(x55951),x55953)))
% 192.07/191.92 [5622]E(x56221,f2(a903))+E(f317(f162(x56222),f159(x56222,x56221,x56223)),f317(f317(f299(x56222),x56223),f178(f910(x56222,a898))))
% 192.07/191.92 [5641]E(f160(x56411,x56412,x56413),x56413)+P2(f317(f317(f319(x56411),x56412),f317(f162(x56411),x56413)))
% 192.07/191.92 [5726]~P2(f317(f127(x57261),x57263))+P2(f317(f127(x57261),f317(f126(x57261,x57262),x57263)))
% 192.07/191.92 [5769]~P4(x57691)+E(f317(f317(f31(x57691),f41(x57691,x57692,x57693)),x57693),f2(x57691))
% 192.07/191.92 [5788]E(f166(x57881,f317(f317(f141(x57881),x57882),f103(x57881)),x57883),f103(x57881))+P2(f317(f317(f319(a903),f2(a903)),x57883))
% 192.07/191.92 [5794]E(x57941,f2(a903))+E(f317(f161(x57942),f159(x57942,x57941,x57943)),f159(x57942,f317(f317(f3(a903),x57941),f72(a903)),x57943))
% 192.07/191.92 [5845]E(f317(f317(f141(x58451),x58452),x58453),f130(x58451,x58452,x58453))+P2(f317(f317(f319(x58451),x58452),f317(f162(x58451),x58453)))
% 192.07/191.92 [5854]E(x58541,x58542)+~E(f317(f317(f75(a903),f317(a102,x58543)),x58541),f317(f317(f75(a903),f317(a102,x58543)),x58542))
% 192.07/191.92 [5855]~E(x58552,f317(f317(f74(a1),x58551),f317(f90(a1),f317(a102,x58553))))+P2(f317(f317(f227(a1),x58551),x58552))
% 192.07/191.92 [5925]~P30(x59251,x59252,x59253)+P31(a903,x59251,f129(a903,f317(f292(a903,x59252),x59253)))
% 192.07/191.92 [5978]~E(x59783,f103(x59781))+E(f317(f317(f317(f173(f904(x59781),f904(x59781)),x59782),f157(x59781)),x59783),f103(x59781))
% 192.07/191.92 [5982]P2(f317(x59821,x59822))+~P2(f317(f317(f319(x59823),x59822),f317(f252(x59823),x59821)))
% 192.07/191.92 [6015]E(x60151,x60152)+~E(f317(f317(f299(x60153),x60151),f178(f910(x60153,a898))),f317(f317(f299(x60153),x60152),f178(f910(x60153,a898))))
% 192.07/191.92 [6031]~P109(x60311)+E(f317(f317(f91(f910(x60311,a898)),f317(f272(x60311),x60312)),f317(f292(x60311,x60312),x60313)),f178(f910(x60311,a898)))
% 192.07/191.92 [6070]E(f130(x60701,x60702,x60703),x60703)+~P2(f317(f317(f319(x60701),x60702),f317(f162(x60701),x60703)))
% 192.07/191.92 [6092]~P79(x60921)+E(f317(f300(x60921,x60921,f73(x60921)),f317(f292(x60921,x60922),x60923)),f295(x60921,f317(f73(x60921),x60923),f317(f73(x60921),x60922)))
% 192.07/191.92 [6103]E(f317(f179(f904(x61031)),f160(x61031,x61032,x61033)),f317(f179(f904(x61031)),x61033))+P2(f317(f317(f319(x61031),x61032),f317(f162(x61031),x61033)))
% 192.07/191.92 [6158]~P109(x61581)+E(f317(f317(f91(f910(x61581,a898)),f317(f292(x61581,x61582),x61583)),f317(f273(x61581),x61583)),f178(f910(x61581,a898)))
% 192.07/191.92 [6178]~P79(x61781)+E(f317(f300(x61781,x61781,f73(x61781)),f296(x61781,x61782,x61783)),f296(x61781,f317(f73(x61781),x61783),f317(f73(x61781),x61782)))
% 192.07/191.92 [6179]~P79(x61791)+E(f317(f300(x61791,x61791,f73(x61791)),f293(x61791,x61792,x61793)),f293(x61791,f317(f73(x61791),x61793),f317(f73(x61791),x61792)))
% 192.07/191.92 [6245]E(f166(x62451,f317(f317(f141(x62451),x62452),f103(x62451)),x62453),f317(f317(f141(x62451),x62452),f103(x62451)))+~P2(f317(f317(f319(a903),f2(a903)),x62453))
% 192.07/191.92 [6250]P30(x62501,x62502,x62503)+~P31(a903,x62501,f129(a903,f317(f292(a903,x62502),x62503)))
% 192.07/191.92 [6253]~P79(x62531)+E(f317(f300(x62531,x62531,f73(x62531)),f295(x62531,x62532,x62533)),f317(f292(x62531,f317(f73(x62531),x62533)),f317(f73(x62531),x62532)))
% 192.07/191.92 [6275]~P5(x62751)+E(f41(x62751,f317(f73(x62751),f41(x62751,x62752,x62753)),x62753),f41(x62751,f317(f73(x62751),x62752),x62753))
% 192.07/191.92 [6373]~P2(f317(f29(f909(x63732,x63731)),x63733))+P2(f317(f29(x63731),f317(f274(x63732,x63731),x63733)))
% 192.07/191.92 [6374]~P2(f317(f29(f909(x63741,x63742)),x63743))+P2(f317(f29(x63741),f317(f254(x63741,x63742),x63743)))
% 192.07/191.92 [6379]~P109(x63791)+E(f317(f317(f91(f910(x63791,a898)),f296(x63791,x63792,x63793)),f317(f273(x63791),x63793)),f178(f910(x63791,a898)))
% 192.07/191.92 [6380]~P109(x63801)+E(f317(f317(f91(f910(x63801,a898)),f293(x63801,x63802,x63803)),f317(f294(x63801),x63803)),f178(f910(x63801,a898)))
% 192.07/191.92 [6381]~P109(x63811)+E(f317(f317(f91(f910(x63811,a898)),f295(x63811,x63812,x63813)),f317(f294(x63811),x63813)),f178(f910(x63811,a898)))
% 192.07/191.92 [6454]E(f317(f317(f154(x64541),x64542),f555(x64542,x64543,x64541)),x64543)+~P2(f317(f317(f319(x64541),x64543),f317(f162(x64541),x64542)))
% 192.07/191.92 [6602]E(x66021,f103(x66022))+~E(f317(f317(f317(f173(f904(x66022),f904(x66022)),x66023),f157(x66022)),x66021),f103(x66022))
% 192.07/191.92 [6708]~P2(f317(f29(f909(x67082,x67081)),x67083))+P2(f317(f29(f909(x67081,x67082)),f317(f276(x67082,x67081),x67083)))
% 192.07/191.92 [6731]E(x67311,x67312)+~E(f280(a903,f277(a903),x67313,x67311),f317(f317(f299(a903),x67312),f178(f910(a903,a898))))
% 192.07/191.92 [6732]E(x67321,x67322)+~E(f280(a903,f277(a903),x67321,x67322),f317(f317(f299(a903),x67323),f178(f910(a903,a898))))
% 192.07/191.92 [6868]P55(x68681,x68682,x68683)+P2(f317(f317(f319(x68681),f710(x68683,x68682,x68681)),x68682))
% 192.07/191.92 [6869]P55(x68691,x68692,x68693)+P2(f317(f317(f319(x68691),f709(x68693,x68692,x68691)),x68692))
% 192.07/191.92 [6879]P2(f317(f305(x68791,x68792),x68793))+P2(f317(f317(x68792,f456(x68793,x68792,x68791)),x68793))
% 192.07/191.92 [6880]P2(f317(f305(x68801,x68802),x68803))+P2(f317(f317(x68802,f464(x68803,x68802,x68801)),x68803))
% 192.07/191.92 [6911]E(f317(f179(f904(x69111)),f160(x69111,x69112,x69113)),f317(f317(f3(a903),f317(f179(f904(x69111)),x69113)),f72(a903)))+~P2(f317(f317(f319(x69111),x69112),f317(f162(x69111),x69113)))
% 192.07/191.92 [6950]P2(f317(f238(x69501,x69502),x69503))+P2(f317(f317(f319(x69501),f586(x69503,x69502,x69501)),x69503))
% 192.07/191.92 [6959]~P2(f317(f29(f909(x69592,x69591)),f317(f276(x69591,x69592),x69593)))+P2(f317(f29(f909(x69591,x69592)),x69593))
% 192.07/191.92 [7018]~P2(f317(f317(f319(x70181),x70182),f317(f162(x70181),f104(x70181,x70183))))+P2(f317(f317(f319(x70181),x70182),f317(f162(x70181),x70183)))
% 192.07/191.92 [7053]E(f317(f126(x70531,x70532),x70533),x70533)+P2(f317(f317(f319(x70531),f612(x70533,x70532,x70531)),f317(f162(x70531),x70533)))
% 192.07/191.92 [7069]E(f317(f126(x70691,x70692),x70693),f103(x70691))+P2(f317(f317(f319(x70691),f611(x70693,x70692,x70691)),f317(f162(x70691),x70693)))
% 192.07/191.92 [7094]P31(x70941,x70942,x70943)+P2(f317(f317(f319(x70941),f747(x70943,x70942,x70941)),f317(f162(x70941),x70943)))
% 192.07/191.92 [7095]P31(x70951,x70952,x70953)+P2(f317(f317(f319(x70951),f750(x70953,x70952,x70951)),f317(f162(x70951),x70953)))
% 192.07/191.92 [7096]P31(x70961,x70962,x70963)+P2(f317(f317(f319(x70961),f749(x70962,x70963,x70961)),f317(f162(x70961),x70963)))
% 192.07/191.92 [7099]E(f167(x70991,x70992,x70993),x70993)+P2(f317(f317(f319(x70991),f638(x70993,x70992,x70991)),f317(f162(x70991),x70993)))
% 192.07/191.92 [7175]P2(f317(f150(x71751,x71752),x71753))+P2(f317(f317(f319(x71751),f613(x71753,x71752,x71751)),f317(f162(x71751),x71753)))
% 192.07/191.92 [7184]~P33(x71841,x71843,x71842)+P2(f317(f317(f319(x71841),f699(x71842,x71843,x71841)),f317(f162(x71841),x71842)))
% 192.07/191.92 [7185]~P35(x71851,x71853,x71852)+P2(f317(f317(f319(x71851),f746(x71852,x71853,x71851)),f317(f162(x71851),x71852)))
% 192.07/191.92 [7186]~P35(x71861,x71863,x71862)+P2(f317(f317(f319(x71861),f751(x71862,x71863,x71861)),f317(f162(x71861),x71862)))
% 192.07/191.92 [7187]~P33(x71871,x71873,x71872)+P2(f317(f317(f319(x71871),f768(x71872,x71873,x71871)),f317(f162(x71871),x71872)))
% 192.07/191.92 [7188]~P33(x71881,x71882,x71883)+P2(f317(f317(f319(x71881),f776(x71882,x71883,x71881)),f317(f162(x71881),x71883)))
% 192.07/191.92 [7222]P2(f317(f317(f319(x72221),x72222),f413(x72223,x72222,x72221)))+~P2(f317(f317(f319(x72221),x72222),f32(f910(x72221,a898),x72223)))
% 192.07/191.92 [7223]~P75(x72231)+E(f317(f317(f74(x72231),f317(f317(f8(a903,x72231),x72232),f317(f272(a903),x72233))),f317(x72232,x72233)),f317(f317(f8(a903,x72231),x72232),f317(f272(a903),f317(a102,x72233))))
% 192.07/191.92 [7235]P30(x72351,x72352,x72353)+P2(f317(f317(f319(a903),f837(x72353,x72352,x72351)),f317(f292(a903,x72352),x72353)))
% 192.07/191.92 [7315]~P33(x73152,x73151,x73153)+P2(f317(x73151,f317(f317(f154(x73152),x73153),f702(x73153,x73151,x73152))))
% 192.07/191.92 [7326]~P2(f317(f317(f319(x73261),x73262),f414(x73262,x73263,x73261)))+P2(f317(f317(f319(x73261),x73262),f33(f910(x73261,a898),x73263)))
% 192.07/191.92 [7359]~P75(x73591)+E(f317(f317(f74(x73591),f317(f317(f8(a903,x73591),x73592),f317(f291(a903),x73593))),f317(x73592,f317(a102,x73593))),f317(f317(f8(a903,x73591),x73592),f317(f291(a903),f317(a102,x73593))))
% 192.07/191.92 [7500]P2(f317(f317(f319(f904(x75001)),x75002),f151(x75001,x75003)))+P2(f317(f317(f319(x75001),f582(x75003,x75002,x75001)),f317(f162(x75001),x75002)))
% 192.07/191.92 [7516]~P2(f317(f317(f319(f904(x75161)),x75162),f151(x75161,f306(x75161,x75163))))+P2(f317(f317(f319(f904(x75161)),x75162),f306(f904(x75161),f147(x75161,x75163))))
% 192.07/191.92 [7540]~P2(f317(f317(f319(f904(x75401)),x75402),f306(f904(x75401),f147(x75401,x75403))))+P2(f317(f317(f319(f904(x75401)),x75402),f151(x75401,f306(x75401,x75403))))
% 192.07/191.92 [7572]E(f317(f317(f317(f173(f904(x75721),f904(x75721)),x75722),f157(x75721)),x75723),x75723)+~P2(f317(f317(f226(a903),f317(f179(f904(x75721)),x75723)),f72(a903)))
% 192.07/191.92 [7605]E(f317(f317(f124(x76051),f726(x76052,x76053,x76051)),f317(f317(f141(x76051),x76053),f732(x76052,x76053,x76051))),x76052)+~P2(f317(f317(f319(x76051),x76053),f317(f162(x76051),x76052)))
% 192.07/191.92 [7606]E(f317(f317(f124(x76061),f704(x76062,x76063,x76061)),f317(f317(f141(x76061),x76063),f705(x76062,x76063,x76061))),x76062)+~P2(f317(f317(f319(x76061),x76063),f317(f162(x76061),x76062)))
% 192.07/191.92 [7607]E(f317(f317(f124(x76071),f733(x76072,x76073,x76071)),f317(f317(f141(x76071),x76073),f734(x76072,x76073,x76071))),x76072)+~P2(f317(f317(f319(x76071),x76073),f317(f162(x76071),x76072)))
% 192.07/191.92 [7628]~P25(x76281,x76282,x76283,f232(f910(x76281,a898)))+P25(f904(x76281),f904(x76282),f317(f144(x76281,x76282),x76283),f232(f910(f904(x76281),a898)))
% 192.07/191.92 [7780]E(x77801,f317(f317(f74(a903),f317(f317(f75(a903),f317(f241(a903,a903),x77802)),x77803)),f317(f246(a903,a903),x77802)))+~P2(f317(f44(x77801,x77803),x77802))
% 192.07/191.92 [7788]P25(x77881,x77882,x77883,f232(f910(x77881,a898)))+~P25(f904(x77881),f904(x77882),f317(f144(x77881,x77882),x77883),f232(f910(f904(x77881),a898)))
% 192.07/191.92 [7833]P2(f317(f317(f319(f910(x78331,a898)),f414(x78332,x78333,x78331)),x78333))+P2(f317(f317(f319(x78331),x78332),f33(f910(x78331,a898),x78333)))
% 192.07/191.92 [7924]P2(f317(f317(f319(f904(x79241)),x79242),f151(x79241,x79243)))+~P2(f317(f317(f319(x79241),f582(x79243,x79242,x79241)),x79243))
% 192.07/191.92 [8025]P31(x80251,x80252,x80253)+~P2(f317(x80252,f317(f317(f154(x80251),x80253),f748(x80253,x80252,x80251))))
% 192.07/191.92 [8050]E(x80501,x80502)+~E(f317(f317(f9(x80503,f910(x80503,a898),a898),f319(x80503)),x80501),f317(f317(f9(x80503,f910(x80503,a898),a898),f319(x80503)),x80502))
% 192.07/191.92 [8058]~P2(f317(f317(f319(f909(x80581,x80581)),x80583),f253(x80581,x80582)))+P2(f317(f317(f319(x80581),f467(x80582,x80583,x80581)),x80582))
% 192.07/191.92 [8060]~P2(f317(f317(f319(x80601),x80603),f32(f910(x80601,a898),x80602)))+P2(f317(f317(f319(f910(x80601,a898)),f413(x80602,x80603,x80601)),x80602))
% 192.07/191.92 [8179]P25(x81791,x81792,f85(x81792,x81791,f232(f910(x81792,a898)),x81793),f232(f910(x81791,a898)))+~E(f317(f300(x81792,x81791,x81793),f232(f910(x81792,a898))),f232(f910(x81791,a898)))
% 192.07/191.92 [8233]~P2(f317(f317(f319(x82331),x82332),f317(f162(x82331),f704(x82333,x82332,x82331))))+~P2(f317(f317(f319(x82331),x82332),f317(f162(x82331),x82333)))
% 192.07/191.92 [8234]~P2(f317(f317(f319(x82341),x82342),f317(f162(x82341),f734(x82343,x82342,x82341))))+~P2(f317(f317(f319(x82341),x82342),f317(f162(x82341),x82343)))
% 192.07/191.92 [8263]P30(f317(f67(a898,a898,a903,a312),x82631),x82632,x82633)+P33(a903,x82631,f129(a903,f317(f292(a903,x82632),x82633)))
% 192.07/191.92 [8424]E(x84241,f103(x84242))+P2(f317(f317(f319(x84242),f317(f241(x84242,f909(a89,a89)),f317(f265(x84242,x84241),x84243))),f317(f162(x84242),x84241)))
% 192.07/191.92 [8524]~P70(x85241)+E(f317(f132(x85241,x85241,f317(f9(x85241,x85241,x85241),f74(x85241)),x85242),f317(f158(x85241),x85243)),f317(f132(x85241,x85241,f74(x85241),x85242),x85243))
% 192.07/191.92 [8716]~P25(x87162,x87161,x87163,f232(f910(x87162,a898)))+E(f317(f300(x87161,x87162,f85(x87162,x87161,f232(f910(x87162,a898)),x87163)),f232(f910(x87161,a898))),f232(f910(x87162,a898)))
% 192.07/191.92 [8786]~P30(f317(f67(a898,a898,a903,a312),x87861),x87862,x87863)+~P33(a903,x87861,f129(a903,f317(f292(a903,x87862),x87863)))
% 192.07/191.92 [9033]~P108(x90331)+E(f317(f162(x90331),f139(x90331,x90331,f7(x90331),x90332,x90333)),f317(f317(f299(x90331),x90332),f317(f162(x90331),x90333)))
% 192.07/191.92 [9042]~E(f317(x90423,f317(f85(x90421,x90422,f232(f910(x90421,a898)),x90423),f795(x90423,x90422,x90421))),f795(x90423,x90422,x90421))+E(f317(f300(x90421,x90422,x90423),f232(f910(x90421,a898))),f232(f910(x90422,a898)))
% 192.07/191.92 [9044]P2(f317(f317(f227(a903),f2(a903)),f715(x90441,x90442,x90443)))+~P2(f317(f317(f319(f909(x90443,x90443)),x90442),f317(f317(f279(x90443,x90443,x90443),x90441),f297(x90443,x90441))))
% 192.07/191.92 [9320]~P57(x93201,x93202)+~P2(f317(f317(f319(f909(x93201,x93201)),f317(f317(f242(x93201,x93201),x93203),x93203)),f317(f317(f279(x93201,x93201,x93201),x93202),f297(x93201,x93202))))
% 192.07/191.92 [9459]~E(f317(f317(f91(f910(f909(x94591,x94591),a898)),f317(f276(x94591,x94591),x94592)),f297(x94591,x94592)),f178(f910(f909(x94591,x94591),a898)))+~P2(f317(f317(f319(f909(x94591,x94591)),f317(f317(f242(x94591,x94591),x94593),x94593)),f317(f317(f279(x94591,x94591,x94591),x94592),f297(x94591,x94592))))
% 192.07/191.92 [9650]~P2(f317(f29(x96501),x96502))+P2(f317(f317(f226(a903),f317(f30(x96501),f317(f317(f3(f910(x96501,a898)),x96502),f317(f317(f299(x96501),x96503),f178(f910(x96501,a898)))))),f317(f30(x96501),x96502)))
% 192.07/191.92 [5134]~E(x51343,f103(x51341))+E(f134(x51341,f317(f317(f141(x51341),x51342),x51343)),x51342)
% 192.07/191.92 [5143]~E(x51433,f103(x51431))+E(f104(x51431,f317(f317(f141(x51431),x51432),x51433)),f103(x51431))
% 192.07/191.92 [5173]E(x51731,f103(x51732))+E(f134(x51732,f317(f317(f124(x51732),x51733),x51731)),f134(x51732,x51731))
% 192.07/191.92 [5175]E(x51751,f103(x51752))+E(f134(x51752,f317(f317(f141(x51752),x51753),x51751)),f134(x51752,x51751))
% 192.07/191.92 [5182]~E(x51823,f103(x51821))+E(f134(x51821,f317(f317(f124(x51821),x51822),x51823)),f134(x51821,x51822))
% 192.07/191.92 [5183]~E(x51833,f103(x51831))+E(f104(x51831,f317(f317(f124(x51831),x51832),x51833)),f104(x51831,x51832))
% 192.07/191.92 [5216]E(x52161,f103(x52162))+E(f317(f131(x52162),f317(f317(f124(x52162),x52161),x52163)),f317(f131(x52162),x52161))
% 192.07/191.92 [5244]~E(x52442,f103(x52441))+E(f317(f131(x52441),f317(f317(f124(x52441),x52442),x52443)),f317(f131(x52441),x52443))
% 192.07/191.92 [5296]~P102(x52961)+E(f317(f317(f100(x52961),x52962),f317(f317(f91(x52961),x52962),x52963)),x52962)
% 192.07/191.92 [5297]~P102(x52971)+E(f317(f317(f91(x52971),x52972),f317(f317(f100(x52971),x52972),x52973)),x52972)
% 192.07/191.92 [5298]~P108(x52981)+E(f317(f317(f224(x52981),x52982),f317(f317(f225(x52981),x52982),x52983)),x52982)
% 192.07/191.92 [5299]~P108(x52991)+E(f317(f317(f225(x52991),x52992),f317(f317(f224(x52991),x52992),x52993)),x52992)
% 192.07/191.92 [5318]~P4(x53181)+E(f41(x53181,f317(f317(f75(x53181),x53182),x53183),x53183),f2(x53181))
% 192.07/191.92 [5319]~P4(x53191)+E(f41(x53191,f317(f317(f75(x53191),x53192),x53193),x53192),f2(x53191))
% 192.07/191.92 [5387]~P68(x53871)+E(f317(f73(x53871),f317(f317(f3(x53871),x53872),x53873)),f317(f317(f3(x53871),x53873),x53872))
% 192.07/191.92 [5452]E(x54521,f103(x54522))+E(f104(x54522,f317(f317(f124(x54522),x54523),x54521)),f317(f317(f124(x54522),x54523),f104(x54522,x54521)))
% 192.07/191.92 [5453]E(x54531,f103(x54532))+E(f104(x54532,f317(f317(f141(x54532),x54533),x54531)),f317(f317(f141(x54532),x54533),f104(x54532,x54531)))
% 192.07/191.92 [5456]~P6(x54561)+E(f32(x54561,f317(f317(f299(x54561),x54562),x54563)),f317(f317(f100(x54561),x54562),f32(x54561,x54563)))
% 192.07/191.92 [5457]~P6(x54571)+E(f33(x54571,f317(f317(f299(x54571),x54572),x54573)),f317(f317(f91(x54571),x54572),f33(x54571,x54573)))
% 192.07/191.92 [5503]~P97(x55031)+E(f317(f317(f75(x55031),x55032),f317(f317(f75(x55031),x55032),x55033)),f317(f317(f75(x55031),x55032),x55033))
% 192.07/191.92 [5505]~P101(x55051)+E(f317(f317(f100(x55051),x55052),f317(f317(f100(x55051),x55052),x55053)),f317(f317(f100(x55051),x55052),x55053))
% 192.07/191.92 [5506]~P102(x55061)+E(f317(f317(f100(x55061),x55062),f317(f317(f100(x55061),x55062),x55063)),f317(f317(f100(x55061),x55062),x55063))
% 192.07/191.92 [5507]~P102(x55071)+E(f317(f317(f91(x55071),x55072),f317(f317(f91(x55071),x55072),x55073)),f317(f317(f91(x55071),x55072),x55073))
% 192.07/191.92 [5509]~P104(x55091)+E(f317(f317(f91(x55091),x55092),f317(f317(f91(x55091),x55092),x55093)),f317(f317(f91(x55091),x55092),x55093))
% 192.07/191.92 [5511]~P108(x55111)+E(f317(f317(f224(x55111),x55112),f317(f317(f224(x55111),x55112),x55113)),f317(f317(f224(x55111),x55112),x55113))
% 192.07/191.92 [5513]~P108(x55131)+E(f317(f317(f225(x55131),x55132),f317(f317(f225(x55131),x55132),x55133)),f317(f317(f225(x55131),x55132),x55133))
% 192.07/191.92 [5520]~P4(x55201)+E(f41(x55201,f317(f317(f74(x55201),x55202),x55203),x55203),f41(x55201,x55202,x55203))
% 192.07/191.92 [5521]~P4(x55211)+E(f41(x55211,f317(f317(f74(x55211),x55212),x55213),x55212),f41(x55211,x55213,x55212))
% 192.07/191.92 [5530]~P128(x55301)+E(f317(f317(f75(x55301),x55302),f317(f73(x55301),x55303)),f317(f73(x55301),f317(f317(f75(x55301),x55302),x55303)))
% 192.07/191.92 [5531]~P61(x55311)+E(f317(f317(f281(x55311),x55312),f317(f73(x55311),x55313)),f317(f73(x55311),f317(f317(f281(x55311),x55312),x55313)))
% 192.07/191.92 [5532]~P82(x55321)+E(f317(f317(f74(x55321),x55322),f317(f155(x55321),x55323)),f317(f155(x55321),f317(f317(f141(x55321),x55322),x55323)))
% 192.07/191.92 [5560]~P128(x55601)+E(f317(f317(f75(x55601),f317(f73(x55601),x55602)),x55603),f317(f317(f75(x55601),x55602),f317(f73(x55601),x55603)))
% 192.07/191.92 [5567]~P9(x55671,x55672,x55673)+E(f32(f910(x55671,a898),f317(f317(f56(x55671),x55672),x55673)),x55672)
% 192.07/191.92 [5633]~P113(x56331)+E(f317(f317(f75(x56331),x56332),f317(f317(f234(x56331),x56332),x56333)),f317(f317(f234(x56331),x56332),f317(a102,x56333)))
% 192.07/191.92 [5634]~P118(x56341)+E(f317(f317(f75(x56341),x56342),f317(f317(f234(x56341),x56342),x56343)),f317(f317(f234(x56341),x56342),f317(a102,x56343)))
% 192.07/191.92 [5644]~P76(x56441)+E(f317(f317(f74(x56441),f317(f73(x56441),x56442)),f317(f317(f74(x56441),x56442),x56443)),x56443)
% 192.07/191.92 [5667]~P145(x56671)+E(f317(f317(f234(x56671),f317(f90(x56671),x56672)),x56673),f317(f90(x56671),f317(f317(f234(a903),x56672),x56673)))
% 192.07/191.92 [5668]~P141(x56681)+E(f317(f317(f234(x56681),f317(f92(x56681),x56682)),x56683),f317(f92(x56681),f317(f317(f234(a1),x56682),x56683)))
% 192.07/191.92 [5674]~P85(x56741)+E(f317(f70(x56741),f317(f317(f3(x56741),x56742),x56743)),f317(f70(x56741),f317(f317(f3(x56741),x56743),x56742)))
% 192.07/191.92 [5676]~P117(x56761)+E(f317(f317(f75(x56761),f76(x56761,x56762)),f76(x56761,x56763)),f76(x56761,f317(f317(f75(x56761),x56762),x56763)))
% 192.07/191.92 [5680]E(x56801,f103(x56802))+E(f317(f317(f124(x56802),f317(f161(x56802),x56801)),x56803),f317(f161(x56802),f317(f317(f124(x56802),x56801),x56803)))
% 192.07/191.92 [5686]~E(x56862,f317(a102,f317(f317(f74(a903),x56861),x56863)))+P2(f317(f317(f227(a903),x56861),x56862))
% 192.07/191.92 [5687]~P117(x56871)+E(f317(f317(f234(x56871),f317(f70(x56871),x56872)),x56873),f317(f70(x56871),f317(f317(f234(x56871),x56872),x56873)))
% 192.07/191.92 [5688]~P128(x56881)+E(f317(f317(f75(x56881),f317(f73(x56881),x56882)),x56883),f317(f73(x56881),f317(f317(f75(x56881),x56882),x56883)))
% 192.07/191.92 [5689]~P122(x56891)+E(f317(f317(f281(x56891),f317(f73(x56891),x56892)),x56893),f317(f73(x56891),f317(f317(f281(x56891),x56892),x56893)))
% 192.07/191.92 [5787]E(f362(x57871,x57872,x57873),f377(x57871,x57872,x57873))+E(f317(f317(f91(f910(x57873,a898)),x57872),x57871),f178(f910(x57873,a898)))
% 192.07/191.92 [5802]~P71(x58022)+E(f317(f317(f11(x58021,x58022),f317(f18(x58022,x58021),f72(x58022))),x58023),f72(x58022))
% 192.07/191.92 [5803]~P75(x58032)+E(f317(f317(f8(x58031,x58032),f317(f18(x58032,x58031),f2(x58032))),x58033),f2(x58032))
% 192.07/191.92 [5805]~P93(x58051)+E(f317(f317(f3(x58051),f317(f93(x58051),x58052)),f317(f93(x58051),x58053)),f317(f93(x58051),f317(f317(f3(a1),x58052),x58053)))
% 192.07/191.92 [5808]~P145(x58081)+E(f317(f317(f75(x58081),f317(f90(x58081),x58082)),f317(f90(x58081),x58083)),f317(f90(x58081),f317(f317(f75(a903),x58082),x58083)))
% 192.07/191.92 [5809]~P145(x58091)+E(f317(f317(f74(x58091),f317(f90(x58091),x58092)),f317(f90(x58091),x58093)),f317(f90(x58091),f317(f317(f74(a903),x58092),x58093)))
% 192.07/191.92 [5810]~P141(x58101)+E(f317(f317(f3(x58101),f317(f92(x58101),x58102)),f317(f92(x58101),x58103)),f317(f92(x58101),f317(f317(f3(a1),x58102),x58103)))
% 192.07/191.92 [5811]~P141(x58111)+E(f317(f317(f75(x58111),f317(f92(x58111),x58112)),f317(f92(x58111),x58113)),f317(f92(x58111),f317(f317(f75(a1),x58112),x58113)))
% 192.07/191.92 [5812]~P141(x58121)+E(f317(f317(f74(x58121),f317(f92(x58121),x58122)),f317(f92(x58121),x58123)),f317(f92(x58121),f317(f317(f74(a1),x58122),x58123)))
% 192.07/191.92 [5813]~P93(x58131)+E(f317(f317(f75(x58131),f317(f93(x58131),x58132)),f317(f93(x58131),x58133)),f317(f93(x58131),f317(f317(f75(a1),x58132),x58133)))
% 192.07/191.92 [5814]~P93(x58141)+E(f317(f317(f74(x58141),f317(f93(x58141),x58142)),f317(f93(x58141),x58143)),f317(f93(x58141),f317(f317(f74(a1),x58142),x58143)))
% 192.07/191.92 [5862]~E(x58623,x58622)+P2(f317(f317(f226(f910(x58621,a898)),x58622),x58623))
% 192.07/191.92 [5868]~E(x58682,x58683)+P2(f317(f317(f226(f910(x58681,a898)),x58682),x58683))
% 192.07/191.92 [5873]~P117(x58731)+E(f317(f317(f75(x58731),f317(f70(x58731),x58732)),f317(f70(x58731),x58733)),f317(f70(x58731),f317(f317(f75(x58731),x58732),x58733)))
% 192.07/191.92 [5874]~P63(x58741)+E(f317(f317(f281(x58741),f317(f70(x58741),x58742)),f317(f70(x58741),x58743)),f317(f70(x58741),f317(f317(f281(x58741),x58742),x58743)))
% 192.07/191.92 [5875]~P76(x58751)+E(f317(f317(f74(x58751),f317(f73(x58751),x58752)),f317(f73(x58751),x58753)),f317(f73(x58751),f317(f317(f74(x58751),x58753),x58752)))
% 192.07/191.92 [5876]~P68(x58761)+E(f317(f317(f74(x58761),f317(f73(x58761),x58762)),f317(f73(x58761),x58763)),f317(f73(x58761),f317(f317(f74(x58761),x58762),x58763)))
% 192.07/191.92 [5877]~P96(x58771)+E(f317(f317(f91(x58771),f317(f73(x58771),x58772)),f317(f73(x58771),x58773)),f317(f73(x58771),f317(f317(f100(x58771),x58772),x58773)))
% 192.07/191.92 [5878]~P96(x58781)+E(f317(f317(f100(x58781),f317(f73(x58781),x58782)),f317(f73(x58781),x58783)),f317(f73(x58781),f317(f317(f91(x58781),x58782),x58783)))
% 192.07/191.92 [5879]~P77(x58791)+E(f317(f317(f225(x58791),f317(f73(x58791),x58792)),f317(f73(x58791),x58793)),f317(f73(x58791),f317(f317(f224(x58791),x58792),x58793)))
% 192.07/191.92 [5880]~P77(x58801)+E(f317(f317(f224(x58801),f317(f73(x58801),x58802)),f317(f73(x58801),x58803)),f317(f73(x58801),f317(f317(f225(x58801),x58802),x58803)))
% 192.07/191.92 [5881]~P82(x58811)+E(f317(f317(f74(x58811),f317(f155(x58811),x58812)),f317(f155(x58811),x58813)),f317(f155(x58811),f317(f317(f124(x58811),x58812),x58813)))
% 192.07/191.92 [5882]E(x58821,f178(f910(x58822,a898)))+~E(f317(f317(f100(f910(x58822,a898)),x58823),x58821),f178(f910(x58822,a898)))
% 192.07/191.92 [5883]E(x58831,f178(f910(x58832,a898)))+~E(f317(f317(f100(f910(x58832,a898)),x58831),x58833),f178(f910(x58832,a898)))
% 192.07/191.92 [5884]~P148(x58841,x58842,x58843)+P2(f317(x58841,f317(f317(f31(a1),x58842),x58843)))
% 192.07/191.92 [5949]~P2(f317(f29(x59491),x59493))+P2(f317(f29(x59491),f317(f317(f299(x59491),x59492),x59493)))
% 192.07/191.92 [5950]~P2(f317(f127(x59501),x59503))+P2(f317(f127(x59501),f317(f317(f165(x59501),x59502),x59503)))
% 192.07/191.92 [5951]~P2(f317(f127(x59511),x59513))+P2(f317(f127(x59511),f317(f317(f128(x59511),x59512),x59513)))
% 192.07/191.92 [5983]~P101(x59831)+P2(f317(f317(f226(x59831),x59832),f317(f317(f100(x59831),x59833),x59832)))
% 192.07/191.92 [5984]~P102(x59841)+P2(f317(f317(f226(x59841),x59842),f317(f317(f100(x59841),x59843),x59842)))
% 192.07/191.92 [5985]~P101(x59851)+P2(f317(f317(f226(x59851),x59852),f317(f317(f100(x59851),x59852),x59853)))
% 192.07/191.92 [5986]~P102(x59861)+P2(f317(f317(f226(x59861),x59862),f317(f317(f100(x59861),x59862),x59863)))
% 192.07/191.92 [5987]~P108(x59871)+P2(f317(f317(f226(x59871),x59872),f317(f317(f225(x59871),x59873),x59872)))
% 192.07/191.92 [5988]~P108(x59881)+P2(f317(f317(f226(x59881),x59882),f317(f317(f225(x59881),x59882),x59883)))
% 192.07/191.92 [5989]~P118(x59891)+P2(f317(f317(f277(x59891),x59892),f317(f317(f75(x59891),x59893),x59892)))
% 192.07/191.92 [5990]~P118(x59901)+P2(f317(f317(f277(x59901),x59902),f317(f317(f75(x59901),x59902),x59903)))
% 192.07/191.92 [6004]~E(x60041,f2(a903))+E(f317(f317(f31(a903),f317(f317(f75(a903),x60041),x60042)),f317(f317(f75(a903),x60041),x60043)),f2(a903))
% 192.07/191.92 [6086]~P93(x60861)+E(f317(f317(f3(x60861),f317(f93(x60861),x60862)),f317(f93(x60861),x60863)),f317(f93(x60861),f317(f317(f74(a1),x60862),f317(f73(a1),x60863))))
% 192.07/191.92 [6146]E(x61461,f2(a903))+E(f317(f317(f31(a903),f317(f317(f75(a903),x61461),x61462)),f317(f317(f75(a903),x61461),x61463)),f317(f317(f31(a903),x61462),x61463))
% 192.07/191.92 [6176]E(f142(x61761,f317(f317(f141(x61761),x61762),x61763)),f317(f317(f141(x61761),x61762),f142(x61761,x61763)))+P2(f317(f317(f319(x61761),x61762),f317(f162(x61761),x61763)))
% 192.07/191.92 [6212]P148(x62121,x62122,x62123)+~P2(f317(x62121,f317(f317(f31(a1),x62122),x62123)))
% 192.07/191.92 [6288]E(x62881,f103(x62882))+E(f317(f317(f141(x62882),f317(f131(x62882),x62881)),f317(f317(f165(x62882),x62883),f317(f161(x62882),x62881))),f317(f317(f165(x62882),f317(a102,x62883)),x62881))
% 192.07/191.92 [6296]E(f317(f317(f3(f910(x62961,a898)),x62962),x62963),x62962)+~E(f317(f317(f91(f910(x62961,a898)),x62962),x62963),f178(f910(x62961,a898)))
% 192.07/191.92 [6310]E(f142(x63101,f317(f317(f141(x63101),x63102),x63103)),f142(x63101,x63103))+~P2(f317(f317(f319(x63101),x63102),f317(f162(x63101),x63103)))
% 192.07/191.92 [6341]~P2(f317(f317(f226(a903),x63411),x63413))+P2(f317(f317(f226(a903),x63411),f317(f317(f74(a903),x63412),x63413)))
% 192.07/191.92 [6343]~P2(f317(f317(f226(a903),x63431),x63432))+P2(f317(f317(f226(a903),x63431),f317(f317(f74(a903),x63432),x63433)))
% 192.07/191.92 [6345]~P2(f317(f317(f227(a903),x63451),x63453))+P2(f317(f317(f227(a903),x63451),f317(f317(f74(a903),x63452),x63453)))
% 192.07/191.92 [6347]~P2(f317(f317(f227(a903),x63471),x63472))+P2(f317(f317(f227(a903),x63471),f317(f317(f74(a903),x63472),x63473)))
% 192.07/191.92 [6387]P2(f317(f29(x63871),x63872))+~P2(f317(f29(x63871),f317(f317(f299(x63871),x63873),x63872)))
% 192.07/191.92 [6388]P2(f317(f127(x63881),x63882))+~P2(f317(f127(x63881),f317(f317(f124(x63881),x63883),x63882)))
% 192.07/191.92 [6389]P2(f317(f127(x63891),x63892))+~P2(f317(f127(x63891),f317(f317(f124(x63891),x63892),x63893)))
% 192.07/191.92 [6390]P2(f317(f127(x63901),x63902))+~P2(f317(f127(x63901),f317(f317(f141(x63901),x63903),x63902)))
% 192.07/191.92 [6444]~P118(x64441)+E(f317(f317(f74(x64441),x64442),f317(f317(f75(x64441),x64443),x64442)),f317(f317(f75(x64441),f317(f317(f74(x64441),x64443),f72(x64441))),x64442))
% 192.07/191.92 [6491]~E(x64911,x64912)+~P2(f317(f317(f227(f910(x64913,a898)),x64911),x64912))
% 192.07/191.92 [6537]P2(f317(f317(f319(x65371),x65372),x65373))+P2(f317(f317(f319(x65371),x65372),f317(f73(f910(x65371,a898)),x65373)))
% 192.07/191.92 [6543]E(f134(x65431,f317(f317(f128(x65431),x65432),x65433)),f134(x65431,x65433))+~P2(f317(f317(f227(a903),x65432),f317(f179(f904(x65431)),x65433)))
% 192.07/191.92 [6544]E(f317(f317(f165(x65441),x65442),f104(x65441,x65443)),f317(f317(f165(x65441),x65442),x65443))+~P2(f317(f317(f227(a903),x65442),f317(f179(f904(x65441)),x65443)))
% 192.07/191.92 [6604]E(f317(f317(f317(f173(f904(x66041),f904(x66041)),x66042),f157(x66041)),x66043),x66043)+~E(f41(a903,x66042,f317(f179(f904(x66041)),x66043)),f2(a903))
% 192.07/191.92 [6611]~P9(x66111,x66113,x66112)+E(f317(f317(f279(x66111,x66111,x66111),f317(f276(x66111,x66111),x66112)),x66112),x66112)
% 192.07/191.92 [6654]~E(f317(f317(f100(f910(x66541,a898)),x66542),x66543),x66543)+P2(f317(f317(f226(f910(x66541,a898)),x66542),x66543))
% 192.07/191.92 [6659]~P54(x66591,x66591,x66593)+P54(x66591,x66591,f317(f317(f173(f909(x66591,x66591),a898),x66592),x66593))
% 192.07/191.92 [6662]~P2(f317(f317(f319(x66621),x66623),f317(f162(x66621),x66622)))+P2(f317(f317(f227(a903),f2(a903)),f317(f179(f904(x66621)),x66622)))
% 192.07/191.92 [6690]~P85(x66901)+E(f317(f70(x66901),f317(f317(f74(x66901),f317(f70(x66901),x66902)),f317(f70(x66901),x66903))),f317(f317(f74(x66901),f317(f70(x66901),x66902)),f317(f70(x66901),x66903)))
% 192.07/191.92 [6701]E(f317(f317(f31(a903),f317(f317(f75(a903),x67011),x67012)),f317(f317(f75(a903),x67011),x67013)),f317(f317(f31(a903),x67012),x67013))+~P2(f317(f317(f227(a903),f2(a903)),x67011))
% 192.07/191.92 [6845]~P2(f317(f29(x68451),x68453))+E(f317(f317(f59(x68451,f910(x68451,a898),f299(x68451)),x68452),x68453),f317(f317(f100(f910(x68451,a898)),x68453),x68452))
% 192.07/191.92 [6904]E(f317(f317(f100(f910(x69041,a898)),x69042),x69043),x69042)+~P2(f317(f317(f226(f910(x69041,a898)),x69043),x69042))
% 192.07/191.92 [6906]E(f317(f317(f100(f910(x69061,a898)),x69062),x69063),x69063)+~P2(f317(f317(f226(f910(x69061,a898)),x69062),x69063))
% 192.07/191.92 [6907]E(f317(f317(f91(f910(x69071,a898)),x69072),x69073),x69073)+~P2(f317(f317(f226(f910(x69071,a898)),x69073),x69072))
% 192.07/191.92 [6908]E(f317(f317(f91(f910(x69081,a898)),x69082),x69083),x69082)+~P2(f317(f317(f226(f910(x69081,a898)),x69082),x69083))
% 192.07/191.92 [6957]~P2(f317(f127(x69571),x69572))+E(f317(f317(f3(f910(x69571,a898)),f317(f162(x69571),x69572)),f317(f317(f299(x69571),x69573),f178(f910(x69571,a898)))),f317(f162(x69571),f160(x69571,x69573,x69572)))
% 192.07/191.92 [7013]P37(x70131,x70132)+~P37(x70131,f317(f317(f173(f909(x70131,x70131),a898),x70133),x70132))
% 192.07/191.92 [7030]~E(x70301,f2(a903))+P2(f317(f317(f277(a903),f317(f317(f75(a903),x70301),x70302)),f317(f317(f75(a903),x70301),x70303)))
% 192.07/191.92 [7081]P2(f317(f45(x70811,x70812),f317(a47,x70813)))+~P2(f317(f45(f317(f73(a1),x70811),f317(f73(a1),x70812)),x70813))
% 192.07/191.92 [7086]E(f317(f317(f3(f910(x70861,a898)),f317(f317(f299(x70861),x70862),x70863)),f317(f317(f299(x70861),x70862),f178(f910(x70861,a898)))),x70863)+P2(f317(f317(f319(x70861),x70862),x70863))
% 192.07/191.92 [7108]E(f317(f317(f91(f910(x71081,a898)),f317(f162(x71081),x71082)),f317(f162(x71081),x71083)),f178(f910(x71081,a898)))+~P2(f317(f127(x71081),f317(f317(f124(x71081),x71082),x71083)))
% 192.07/191.92 [7123]~P2(f317(f317(f319(x71231),x71232),f317(f162(x71231),x71233)))+~P2(f317(f127(x71231),f317(f317(f141(x71231),x71232),x71233)))
% 192.07/191.92 [7194]P31(x71941,x71942,x71943)+P2(f317(f317(f227(a903),f748(x71943,x71942,x71941)),f317(f179(f904(x71941)),x71943)))
% 192.07/191.92 [7204]E(f317(f317(f91(f910(x72041,a898)),x72042),x72043),f178(f910(x72041,a898)))+P2(f317(f317(f319(x72041),f362(x72043,x72042,x72041)),x72042))
% 192.07/191.92 [7205]E(f317(f317(f91(f910(x72051,a898)),x72052),x72053),f178(f910(x72051,a898)))+P2(f317(f317(f319(x72051),f377(x72053,x72052,x72051)),x72053))
% 192.07/191.92 [7208]E(f104(x72081,f317(f317(f165(x72081),x72082),x72083)),f317(f317(f165(x72081),f317(f317(f3(a903),x72082),f72(a903))),x72083))+~P2(f317(f317(f226(a903),x72082),f317(f179(f904(x72081)),x72083)))
% 192.07/191.92 [7268]~P33(x72683,x72682,x72681)+P2(f317(f317(f227(a903),f702(x72681,x72682,x72683)),f317(f179(f904(x72683)),x72681)))
% 192.07/191.92 [7288]P2(f317(f317(f227(a903),f2(a903)),x72881))+P2(f317(f317(f226(a903),f317(f317(f75(a903),x72882),x72881)),f317(f317(f75(a903),x72883),x72881)))
% 192.07/191.92 [7289]P2(f317(f317(f227(a903),f2(a903)),x72891))+P2(f317(f317(f226(a903),f317(f317(f75(a903),x72891),x72892)),f317(f317(f75(a903),x72891),x72893)))
% 192.07/191.92 [7292]~P2(f317(f317(f319(x72921),x72922),x72923))+~P2(f317(f317(f319(x72921),x72922),f317(f73(f910(x72921,a898)),x72923)))
% 192.07/191.92 [7298]~P2(f317(f317(f227(f910(x72981,a898)),x72982),x72983))+P2(f317(f317(f226(f910(x72981,a898)),x72982),x72983))
% 192.07/191.92 [7404]~P2(f317(f317(f226(a903),x74043),x74042))+P2(f317(f317(f226(a903),f317(f317(f3(a903),x74041),x74042)),f317(f317(f3(a903),x74041),x74043)))
% 192.07/191.92 [7405]~P2(f317(f317(f226(a903),x74051),x74053))+P2(f317(f317(f226(a903),f317(f317(f3(a903),x74051),x74052)),f317(f317(f3(a903),x74053),x74052)))
% 192.07/191.92 [7407]~P2(f317(f317(f226(a903),x74072),x74073))+P2(f317(f317(f226(a903),f317(f317(f75(a903),x74071),x74072)),f317(f317(f75(a903),x74071),x74073)))
% 192.07/191.92 [7409]~P2(f317(f317(f226(a903),x74091),x74093))+P2(f317(f317(f226(a903),f317(f317(f75(a903),x74091),x74092)),f317(f317(f75(a903),x74093),x74092)))
% 192.07/191.92 [7410]~P2(f317(f317(f226(a903),x74102),x74103))+P2(f317(f317(f226(a903),f317(f317(f74(a903),x74101),x74102)),f317(f317(f74(a903),x74101),x74103)))
% 192.07/191.92 [7411]~P2(f317(f317(f226(a903),x74111),x74113))+P2(f317(f317(f226(a903),f317(f317(f74(a903),x74111),x74112)),f317(f317(f74(a903),x74113),x74112)))
% 192.07/191.92 [7412]~P2(f317(f317(f226(a903),x74121),x74123))+P2(f317(f317(f226(a903),f317(f317(f31(a903),x74121),x74122)),f317(f317(f31(a903),x74123),x74122)))
% 192.07/191.92 [7413]~P2(f317(f317(f226(a1),x74132),x74133))+P2(f317(f317(f226(a1),f317(f317(f74(a1),x74131),x74132)),f317(f317(f74(a1),x74131),x74133)))
% 192.07/191.92 [7416]~P2(f317(f317(f227(a903),x74162),x74163))+P2(f317(f317(f227(a903),f317(f317(f74(a903),x74161),x74162)),f317(f317(f74(a903),x74161),x74163)))
% 192.07/191.92 [7417]~P2(f317(f317(f227(a903),x74171),x74173))+P2(f317(f317(f227(a903),f317(f317(f74(a903),x74171),x74172)),f317(f317(f74(a903),x74173),x74172)))
% 192.07/191.92 [7418]~P2(f317(f317(f227(a1),x74181),x74183))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x74181),x74182)),f317(f317(f74(a1),x74183),x74182)))
% 192.07/191.92 [7421]~P2(f317(f317(f277(a903),x74212),x74213))+P2(f317(f317(f277(a903),f317(f317(f75(a903),x74211),x74212)),f317(f317(f75(a903),x74211),x74213)))
% 192.07/191.92 [7499]E(x74991,x74992)+~P2(f317(f317(f319(x74993),x74991),f317(f317(f299(x74993),x74992),f178(f910(x74993,a898)))))
% 192.07/191.92 [7501]~E(f317(f317(f91(f910(x75011,a898)),x75012),x75013),f178(f910(x75011,a898)))+P2(f317(f317(f226(f910(x75011,a898)),x75012),f317(f73(f910(x75011,a898)),x75013)))
% 192.07/191.92 [7506]P2(f317(f317(f319(f910(x75061,a898)),x75062),f317(f298(x75061),x75063)))+~P2(f317(f317(f226(f910(x75061,a898)),x75062),x75063))
% 192.07/191.92 [7557]E(f317(f317(f141(x75571),f317(f317(f154(x75571),x75572),x75573)),f317(f317(f128(x75571),f317(a102,x75573)),x75572)),f317(f317(f128(x75571),x75573),x75572))+~P2(f317(f317(f227(a903),x75573),f317(f179(f904(x75571)),x75572)))
% 192.07/191.92 [7582]P2(f317(f317(f319(f909(x75821,x75821)),x75822),f297(x75821,x75823)))+~P2(f317(f317(f319(f909(x75821,x75821)),x75822),x75823))
% 192.07/191.92 [7591]~P2(f317(f317(f319(f910(x75911,a898)),x75912),f317(f298(x75911),x75913)))+P2(f317(f317(f226(f910(x75911,a898)),x75912),x75913))
% 192.07/191.92 [7635]P2(f317(f317(f226(f910(x76351,a898)),x76352),f32(f910(x76351,a898),x76353)))+~P2(f317(f317(f319(f910(x76351,a898)),x76352),x76353))
% 192.07/191.92 [7660]~P141(x76601)+E(f317(f317(f75(x76601),f317(f317(f234(x76601),f317(f73(x76601),f72(x76601))),x76602)),f317(f317(f234(x76601),x76603),x76602)),f317(f317(f234(x76601),f317(f73(x76601),x76603)),x76602))
% 192.07/191.92 [7682]E(f317(f317(f154(x76821),x76822),f317(f317(f3(a903),f317(f179(f904(x76821)),x76822)),f317(a102,x76823))),f317(f317(f154(x76821),f317(f158(x76821),x76822)),x76823))+~P2(f317(f317(f227(a903),x76823),f317(f179(f904(x76821)),x76822)))
% 192.07/191.92 [7699]~E(f317(f317(f91(f910(x76991,a898)),f382(x76993,x76992,x76991)),x76993),f178(f910(x76991,a898)))+E(f317(f317(f91(f910(x76991,a898)),f32(f910(x76991,a898),x76992)),x76993),f178(f910(x76991,a898)))
% 192.07/191.92 [7763]~P2(f317(f317(f319(x77633),x77632),f317(f162(x77633),x77631)))+P2(f317(f317(f227(a903),f555(x77631,x77632,x77633)),f317(f179(f904(x77633)),x77631)))
% 192.07/191.92 [7771]P2(f317(f317(f319(x77711),f317(f317(f154(x77711),x77712),x77713)),f317(f162(x77711),x77712)))+~P2(f317(f317(f227(a903),x77713),f317(f179(f904(x77711)),x77712)))
% 192.07/191.92 [7869]~P2(f317(x78692,f639(x78693,x78692,x78691)))+E(f317(f317(f128(x78691),f317(f179(f904(x78691)),f167(x78691,x78692,x78693))),x78693),f103(x78691))
% 192.07/191.92 [7882]P2(f317(f317(f226(f910(f904(x78821),a898)),f151(x78821,x78822)),f151(x78821,x78823)))+~P2(f317(f317(f226(f910(x78821,a898)),x78822),x78823))
% 192.07/191.92 [7883]P2(f317(f317(f226(f910(f904(x78831),a898)),f150(x78831,x78832)),f150(x78831,x78833)))+~P2(f317(f317(f226(f910(x78831,a898)),x78832),x78833))
% 192.07/191.92 [7910]E(f317(f317(f91(f910(x79101,a898)),f32(f910(x79101,a898),x79102)),x79103),f178(f910(x79101,a898)))+P2(f317(f317(f319(f910(x79101,a898)),f382(x79103,x79102,x79101)),x79102))
% 192.07/191.92 [7912]~P2(f317(f317(f319(f910(x79121,a898)),x79123),x79122))+P2(f317(f317(f226(f910(x79121,a898)),f33(f910(x79121,a898),x79122)),x79123))
% 192.07/191.92 [7914]E(f317(f317(f91(f910(x79141,a898)),x79142),x79143),f178(f910(x79141,a898)))+~P2(f317(f317(f226(f910(x79141,a898)),x79142),f317(f73(f910(x79141,a898)),x79143)))
% 192.07/191.92 [7963]E(f317(f317(f3(a903),f317(f317(f74(a903),f317(f155(a903),x79631)),x79632)),f317(f317(f154(a903),x79631),x79633)),f317(f155(a903),f317(f317(f149(a903,x79631),x79633),x79632)))+~P2(f317(f317(f227(a903),x79633),f317(f179(f904(a903)),x79631)))
% 192.07/191.92 [8014]P2(f317(f317(f226(a903),x80141),x80142))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),x80143),x80141)),f317(f317(f74(a903),x80143),x80142)))
% 192.07/191.92 [8017]P2(f317(f317(f227(a903),x80171),x80172))+~P2(f317(f317(f227(a903),f317(f317(f74(a903),x80173),x80171)),f317(f317(f74(a903),x80173),x80172)))
% 192.07/191.92 [8018]P2(f317(f317(f227(a903),x80181),x80182))+~P2(f317(f317(f227(a903),f317(f317(f75(a903),x80183),x80181)),f317(f317(f75(a903),x80183),x80182)))
% 192.07/191.92 [8019]P2(f317(f317(f227(a903),x80191),x80192))+~P2(f317(f317(f227(a903),f317(f317(f75(a903),x80191),x80193)),f317(f317(f75(a903),x80192),x80193)))
% 192.07/191.92 [8048]P2(f317(f317(f227(a903),f2(a903)),x80481))+~P2(f317(f317(f227(a903),f317(f317(f75(a903),x80482),x80481)),f317(f317(f75(a903),x80483),x80481)))
% 192.07/191.92 [8049]P2(f317(f317(f227(a903),f2(a903)),x80491))+~P2(f317(f317(f227(a903),f317(f317(f75(a903),x80491),x80492)),f317(f317(f75(a903),x80491),x80493)))
% 192.07/191.92 [8122]E(f237(x81221,x81222,x81223),x81222)+~P2(f317(f317(f226(f910(x81221,a898)),x81223),f317(f317(f299(x81221),x81222),f178(f910(x81221,a898)))))
% 192.07/191.92 [8172]~P2(f317(f127(x81721),x81723))+E(f317(f126(x81721,f317(f317(f10(a898,a898,x81721),a312),f317(a314,x81722))),x81723),f160(x81721,x81722,x81723))
% 192.07/191.92 [8197]E(f317(f317(f128(x81971),f317(f179(f904(x81971)),f167(x81971,x81972,x81973))),x81973),f103(x81971))+P2(f317(f317(f319(x81971),f639(x81973,x81972,x81971)),f317(f162(x81971),x81973)))
% 192.07/191.92 [8201]E(f317(f317(f124(x82011),f317(f317(f165(x82011),x82012),x82013)),f317(f317(f141(x82011),f317(f317(f154(x82011),x82013),x82012)),f103(x82011))),f317(f317(f165(x82011),f317(a102,x82012)),x82013))+~P2(f317(f317(f227(a903),x82012),f317(f179(f904(x82011)),x82013)))
% 192.07/191.92 [8268]E(f317(f126(x82681,f317(f317(f10(a898,a898,x82681),a312),f317(a314,x82682))),x82683),x82683)+P2(f317(f317(f319(x82681),x82682),f317(f162(x82681),x82683)))
% 192.07/191.92 [8274]P2(f317(f317(f226(f910(f910(x82741,a898),a898)),f238(x82741,x82742)),f238(x82741,x82743)))+~P2(f317(f317(f226(f910(x82741,a898)),x82742),x82743))
% 192.07/191.92 [8313]~P2(f317(f127(x83131),x83133))+P2(f317(f127(x83131),f317(f317(f317(f173(f904(x83131),f904(x83131)),x83132),f157(x83131)),x83133)))
% 192.07/191.92 [8319]~P2(f317(f317(f227(a903),x83192),x83193))+P2(f317(f317(f227(a903),f317(f317(f75(a903),f317(a102,x83191)),x83192)),f317(f317(f75(a903),f317(a102,x83191)),x83193)))
% 192.07/191.92 [8339]P2(f317(f317(f226(f910(f910(x83391,a898),a898)),f317(f298(x83391),x83392)),f317(f298(x83391),x83393)))+~P2(f317(f317(f226(f910(x83391,a898)),x83392),x83393))
% 192.07/191.92 [8409]~E(f317(f300(x84091,x84092,x84093),f232(f910(x84091,a898))),f232(f910(x84092,a898)))+E(f317(f67(x84091,x84092,x84092,x84093),f85(x84091,x84092,f232(f910(x84091,a898)),x84093)),f25(x84092))
% 192.07/191.92 [8503]~P2(f317(f317(f226(f910(x85031,a898)),x85033),x85032))+P2(f317(f317(f226(f910(x85031,a898)),f317(f73(f910(x85031,a898)),x85032)),f317(f73(f910(x85031,a898)),x85033)))
% 192.07/191.92 [8538]E(f317(f300(a903,a903,f317(f317(f9(a903,a903,a903),f3(a903)),x85381)),f317(f292(a903,x85382),x85383)),f317(f292(a903,f317(f317(f3(a903),x85382),x85381)),f317(f317(f3(a903),x85383),x85381)))+~P2(f317(f317(f227(a903),x85381),x85383))
% 192.07/191.92 [8564]~P82(x85641)+E(f317(f317(f74(x85641),x85642),f317(f132(x85641,x85641,f74(x85641),f2(x85641)),x85643)),f317(f132(x85641,x85641,f74(x85641),x85642),x85643))
% 192.07/191.92 [8640]~P85(x86401)+P2(f317(f317(f226(x86401),f317(f70(x86401),f317(f317(f3(x86401),x86402),x86403))),f317(f317(f74(x86401),f317(f70(x86401),x86402)),f317(f70(x86401),x86403))))
% 192.07/191.92 [8641]~P85(x86411)+P2(f317(f317(f226(x86411),f317(f70(x86411),f317(f317(f74(x86411),x86412),x86413))),f317(f317(f74(x86411),f317(f70(x86411),x86412)),f317(f70(x86411),x86413))))
% 192.07/191.92 [8652]E(f317(f317(f74(a1),f317(f317(f75(a1),x86521),f41(a1,f317(f317(f31(a1),x86522),x86521),x86523))),f41(a1,x86522,x86521)),f41(a1,x86522,f317(f317(f75(a1),x86521),x86523)))+~P2(f317(f317(f227(a1),f2(a1)),x86523))
% 192.07/191.92 [8658]E(f317(f317(f124(x86581),f317(f317(f165(x86581),x86582),x86583)),f317(f317(f141(x86581),f317(f131(x86581),f317(f317(f128(x86581),x86582),x86583))),f103(x86581))),f317(f317(f165(x86581),f317(a102,x86582)),x86583))+~P2(f317(f317(f227(a903),x86582),f317(f179(f904(x86581)),x86583)))
% 192.07/191.92 [8678]E(f317(f258(x86781,f317(f317(f144(x86781,f909(a89,x86781)),f317(f242(a89,x86781),f72(a89))),x86782)),f317(a5,x86783)),f317(f317(f154(x86781),x86782),x86783))+~P2(f317(f317(f227(a903),x86783),f317(f179(f904(x86781)),x86782)))
% 192.07/191.92 [8746]P2(f317(f317(f319(f909(x87461,x87461)),x87462),f317(f317(f279(x87461,x87461,x87461),x87463),f297(x87461,x87463))))+~P2(f317(f317(f319(f909(x87461,x87461)),x87462),x87463))
% 192.07/191.92 [8757]E(f317(f300(x87571,x87572,x87573),f232(f910(x87571,a898))),f232(f910(x87572,a898)))+~E(f317(f67(x87571,x87572,x87572,x87573),f85(x87571,x87572,f232(f910(x87571,a898)),x87573)),f25(x87572))
% 192.07/191.92 [8766]P2(f317(f317(f226(a903),x87661),x87662))+~P2(f317(f317(f226(a903),f317(f317(f75(a903),f317(a102,x87663)),x87661)),f317(f317(f75(a903),f317(a102,x87663)),x87662)))
% 192.07/191.92 [8782]P2(f317(f317(f226(f910(x87821,a898)),x87822),x87823))+~P2(f317(f317(f226(f910(x87821,a898)),f317(f73(f910(x87821,a898)),x87823)),f317(f73(f910(x87821,a898)),x87822)))
% 192.07/191.92 [8805]P2(f317(f127(x88051),x88052))+~P2(f317(f127(x88051),f317(f317(f317(f173(f904(x88051),f904(x88051)),x88053),f157(x88051)),x88052)))
% 192.07/191.92 [8878]E(f317(f275(x88781,x88781,f297(x88781,x88782)),x88783),x88783)+~P2(f317(f317(f226(f910(x88781,a898)),f317(f275(x88781,x88781,x88782),x88783)),x88783))
% 192.07/191.92 [8926]~P108(x89261)+P14(x89261,f317(f126(x89261,f317(f317(f9(x89261,x89261,a898),a314),f317(x89262,x89263))),x89263))
% 192.07/191.92 [8933]~P2(f317(f317(f226(a903),x89331),x89332))+P2(f317(f317(f226(a903),x89331),f317(f132(a903,a903,f74(a903),x89332),x89333)))
% 192.07/191.92 [9019]~P2(f317(f317(f319(f909(x90191,x90191)),x90192),f297(x90191,x90193)))+P2(f317(f317(f319(f909(x90191,x90191)),x90192),f317(f317(f173(f909(x90191,x90191),a898),f713(x90193,x90192,x90191)),x90193)))
% 192.07/191.92 [9100]~P82(x91001)+E(f317(f317(f74(x91001),x91002),f317(f132(x91001,x91001,f317(f9(x91001,x91001,x91001),f74(x91001)),f2(x91001)),f317(f158(x91001),x91003))),f317(f132(x91001,x91001,f74(x91001),x91002),x91003))
% 192.07/191.92 [9217]~P26(x92172,x92171,x92173,f232(f910(x92172,a898)),f232(f910(x92171,a898)))+E(f85(x92171,x92172,f232(f910(x92171,a898)),f85(x92172,x92171,f232(f910(x92172,a898)),x92173)),x92173)
% 192.07/191.92 [9372]P54(x93721,x93722,x93723)+P2(f317(f317(f319(f909(x93721,x93722)),f317(f317(f242(x93721,x93722),f707(x93723,x93722,x93721)),f697(x93723,x93722,x93721))),x93723))
% 192.07/191.92 [9373]P54(x93731,x93732,x93733)+P2(f317(f317(f319(f909(x93731,x93732)),f317(f317(f242(x93731,x93732),f707(x93733,x93732,x93731)),f696(x93733,x93732,x93731))),x93733))
% 192.07/191.92 [9444]~P2(f317(f317(f319(f909(x94441,x94441)),x94442),f317(f317(f279(x94441,x94441,x94441),x94443),f297(x94441,x94443))))+P2(f317(f317(f319(f909(x94441,x94441)),x94442),f317(f317(f173(f909(x94441,x94441),a898),f715(x94443,x94442,x94441)),x94443)))
% 192.07/191.92 [9445]~P2(f317(x94451,f317(f317(f154(x94452),x94453),f317(f179(f904(x94452)),f167(x94452,x94451,x94453)))))+~P2(f317(f317(f227(a903),f317(f179(f904(x94452)),f167(x94452,x94451,x94453))),f317(f179(f904(x94452)),x94453)))
% 192.07/191.92 [9536]~P2(f317(f317(f226(f910(x95361,a898)),x95362),x95363))+P2(f317(f317(f226(f910(x95361,a898)),f317(f317(f9(x95361,f910(x95361,a898),a898),f319(x95361)),x95362)),f317(f317(f9(x95361,f910(x95361,a898),a898),f319(x95361)),x95363)))
% 192.07/191.92 [9598]~P2(f317(f317(f319(f909(f910(x95981,a898),f910(x95981,a898))),f317(f317(f242(f910(x95981,a898),f910(x95981,a898)),x95982),x95983)),f304(x95981)))+P2(f317(f317(f227(f910(x95981,a898)),x95982),x95983))
% 192.07/191.92 [9626]P55(x96261,x96262,x96263)+~P2(f317(f317(f319(f909(x96261,x96261)),f317(f317(f242(x96261,x96261),f710(x96263,x96262,x96261)),f709(x96263,x96262,x96261))),x96263))
% 192.07/191.92 [9627]P55(x96271,x96272,x96273)+~P2(f317(f317(f319(f909(x96271,x96271)),f317(f317(f242(x96271,x96271),f709(x96273,x96272,x96271)),f710(x96273,x96272,x96271))),x96273))
% 192.07/191.92 [9665]~P2(f317(f317(f319(f909(f904(x96651),f904(x96651))),f317(f317(f242(f904(x96651),f904(x96651)),x96652),x96652)),f137(x96651,x96653)))+P2(f317(f317(f319(f909(x96651,x96651)),f317(f317(f242(x96651,x96651),f602(x96652,x96653,x96651)),f602(x96652,x96653,x96651))),x96653))
% 192.07/191.92 [9715]P2(f317(f317(f226(f910(x97151,a898)),x97152),x97153))+~P2(f317(f317(f226(f910(x97151,a898)),f317(f317(f9(x97151,f910(x97151,a898),a898),f319(x97151)),x97152)),f317(f317(f9(x97151,f910(x97151,a898),a898),f319(x97151)),x97153)))
% 192.07/191.92 [9796]E(f317(f317(f3(a903),f317(f317(f8(a903,a903),x97961),f317(f272(a903),x97962))),f317(f317(f8(a903,a903),x97963),f317(f272(a903),x97962))),f317(f317(f8(a903,a903),f317(f317(f20(a903,a903,a903),f317(f317(f10(a903,f910(a903,a903),a903),f3(a903)),x97961)),x97963)),f317(f272(a903),x97962)))+~P2(f317(f317(f226(a903),f317(x97963,f480(x97962,x97961,x97963))),f317(x97961,f480(x97962,x97961,x97963))))
% 192.07/191.92 [5723]~P76(x57231)+E(f317(f317(f3(x57231),f317(f317(f74(x57231),x57232),x57233)),x57233),x57232)
% 192.07/191.92 [5724]~P76(x57241)+E(f317(f317(f74(x57241),f317(f317(f3(x57241),x57242),x57243)),x57243),x57242)
% 192.07/191.92 [5958]~P76(x59581)+E(f317(f317(f74(x59581),x59582),f317(f317(f74(x59581),f317(f73(x59581),x59582)),x59583)),x59583)
% 192.07/191.92 [6047]~P81(x60471)+E(f317(f317(f75(x60471),f317(f317(f234(x60471),x60472),x60473)),x60472),f317(f317(f234(x60471),x60472),f317(a102,x60473)))
% 192.07/191.92 [6048]~P118(x60481)+E(f317(f317(f75(x60481),f317(f317(f234(x60481),x60482),x60483)),x60482),f317(f317(f234(x60481),x60482),f317(a102,x60483)))
% 192.07/191.92 [6272]~P117(x62721)+E(f317(f70(x62721),f317(f317(f234(x62721),f317(f73(x62721),x62722)),x62723)),f317(f70(x62721),f317(f317(f234(x62721),x62722),x62723)))
% 192.07/191.92 [6316]~P81(x63161)+E(f317(f317(f75(x63161),f317(f317(f234(x63161),x63162),x63163)),x63162),f317(f317(f75(x63161),x63162),f317(f317(f234(x63161),x63162),x63163)))
% 192.07/191.92 [6378]E(f317(f317(f3(a89),f317(f317(f74(a89),x63781),x63782)),x63783),f264(x63781,x63782,x63783))+~P2(f317(f317(f227(a89),x63782),x63783))
% 192.07/191.92 [6403]~E(f317(f317(f128(x64031),x64033),x64032),f103(x64031))+P2(f317(f317(f226(a903),f317(f179(f904(x64031)),x64032)),x64033))
% 192.07/191.92 [6542]E(f317(f317(f75(a903),f317(f93(a903),x65421)),f317(f317(f75(a903),f317(f93(a903),x65422)),x65423)),f2(a903))+~P2(f317(f317(f227(a1),x65421),a77))
% 192.07/191.92 [6558]~P61(x65581)+E(f317(f317(f234(x65581),f317(f317(f281(x65581),f72(x65581)),x65582)),x65583),f317(f317(f281(x65581),f72(x65581)),f317(f317(f234(x65581),x65582),x65583)))
% 192.07/191.92 [6640]E(f317(f317(f3(a903),f317(f317(f74(a903),x66401),x66402)),x66403),f317(f317(f3(a903),x66401),f317(f317(f3(a903),x66403),x66402)))+~P2(f317(f317(f226(a903),x66402),x66403))
% 192.07/191.92 [6642]E(f317(f317(f3(a903),f317(f317(f74(a903),x66421),x66422)),x66423),f317(f317(f74(a903),x66421),f317(f317(f3(a903),x66422),x66423)))+~P2(f317(f317(f226(a903),x66423),x66422))
% 192.07/191.92 [6681]~P102(x66811)+P2(f317(f317(f226(x66811),f317(f317(f91(x66811),x66812),x66813)),x66813))
% 192.07/191.92 [6682]~P104(x66821)+P2(f317(f317(f226(x66821),f317(f317(f91(x66821),x66822),x66823)),x66823))
% 192.07/191.92 [6683]~P102(x66831)+P2(f317(f317(f226(x66831),f317(f317(f91(x66831),x66832),x66833)),x66832))
% 192.07/191.92 [6684]~P104(x66841)+P2(f317(f317(f226(x66841),f317(f317(f91(x66841),x66842),x66843)),x66842))
% 192.07/191.92 [6685]~P108(x66851)+P2(f317(f317(f226(x66851),f317(f317(f224(x66851),x66852),x66853)),x66853))
% 192.07/191.92 [6686]~P108(x66861)+P2(f317(f317(f226(x66861),f317(f317(f224(x66861),x66862),x66863)),x66862))
% 192.07/191.92 [6700]E(f317(f317(f31(a1),f317(f317(f31(a1),x67001),x67002)),x67003),f317(f317(f31(a1),x67001),f317(f317(f75(a1),x67002),x67003)))+~P2(f317(f317(f227(a1),f2(a1)),x67003))
% 192.07/191.92 [6754]~P118(x67541)+E(f317(f317(f74(x67541),f317(f317(f75(x67541),x67542),x67543)),x67543),f317(f317(f75(x67541),f317(f317(f74(x67541),x67542),f72(x67541))),x67543))
% 192.07/191.92 [6755]~P93(x67551)+E(f317(f317(f75(x67551),f317(f73(x67551),f317(f93(x67551),x67552))),x67553),f317(f317(f75(x67551),f317(f93(x67551),f317(f73(a1),x67552))),x67553))
% 192.07/191.92 [6829]~P82(x68291)+E(f317(f155(x68291),f317(f317(f144(x68292,x68291),f317(f18(x68291,x68292),f2(x68291))),x68293)),f2(x68291))
% 192.07/191.92 [6847]E(f317(f317(f74(a903),f317(f93(a903),x68471)),f317(f317(f74(a903),f317(f93(a903),x68472)),x68473)),f317(f317(f74(a903),f317(f93(a903),x68472)),x68473))+~P2(f317(a183,f317(f93(a1),x68471)))
% 192.07/191.92 [6862]~P6(x68621)+E(f32(x68621,f317(f317(f299(x68621),x68622),f317(f317(f299(x68621),x68623),f178(f910(x68621,a898))))),f317(f317(f100(x68621),x68622),x68623))
% 192.07/191.92 [6863]~P6(x68631)+E(f33(x68631,f317(f317(f299(x68631),x68632),f317(f317(f299(x68631),x68633),f178(f910(x68631,a898))))),f317(f317(f91(x68631),x68632),x68633))
% 192.07/191.92 [6887]E(f317(f317(f165(x68871),x68872),x68873),x68873)+~P2(f317(f317(f226(a903),f317(f179(f904(x68871)),x68873)),x68872))
% 192.07/191.92 [6899]E(f317(f317(f128(x68991),x68992),x68993),f103(x68991))+~P2(f317(f317(f226(a903),f317(f179(f904(x68991)),x68993)),x68992))
% 192.07/191.92 [6910]E(f317(f317(f74(a903),f317(f317(f3(a903),x69101),x69102)),x69103),f317(f317(f3(a903),f317(f317(f74(a903),x69101),x69103)),x69102))+~P2(f317(f317(f226(a903),x69102),x69101))
% 192.07/191.92 [6924]~P2(f317(f317(f227(a903),x69241),x69243))+P2(f317(f317(f227(a903),f317(f317(f3(a903),x69241),x69242)),x69243))
% 192.07/191.92 [6951]~P108(x69511)+E(f160(x69511,x69512,f317(f317(f138(x69511,x69511,f7(x69511)),x69512),x69513)),x69513)
% 192.07/191.92 [7043]E(f317(f317(f3(a903),f317(f317(f74(a903),x70431),x70432)),f317(a102,x70433)),f317(f317(f3(a903),x70431),f317(a102,f317(f317(f3(a903),x70433),x70432))))+~P2(f317(f317(f226(a903),x70432),x70433))
% 192.07/191.92 [7044]~P117(x70441)+P2(f317(f317(f226(x70441),f2(x70441)),f317(f317(f234(x70441),f317(f70(x70441),x70442)),x70443)))
% 192.07/191.92 [7135]~P2(f317(f29(x71351),x71352))+P2(f317(f29(x71351),f317(f317(f3(f910(x71351,a898)),x71352),x71353)))
% 192.07/191.92 [7136]~P2(f317(f29(x71361),x71363))+P2(f317(f29(x71361),f317(f317(f91(f910(x71361,a898)),x71362),x71363)))
% 192.07/191.92 [7137]~P2(f317(f29(x71371),x71372))+P2(f317(f29(x71371),f317(f317(f91(f910(x71371,a898)),x71372),x71373)))
% 192.07/191.92 [7278]~P37(x72781,x72783)+P37(x72781,f317(f317(f91(f910(f909(x72781,x72781),a898)),x72782),x72783))
% 192.07/191.92 [7279]~P37(x72791,x72792)+P37(x72791,f317(f317(f91(f910(f909(x72791,x72791),a898)),x72792),x72793))
% 192.07/191.92 [7400]~P102(x74001)+E(f12(x74001,f317(f162(x74001),f317(f317(f141(x74001),x74002),x74003))),f317(f132(x74001,x74001,f100(x74001),x74002),x74003))
% 192.07/191.92 [7401]~P102(x74011)+E(f13(x74011,f317(f162(x74011),f317(f317(f141(x74011),x74012),x74013))),f317(f132(x74011,x74011,f91(x74011),x74012),x74013))
% 192.07/191.92 [7402]~P108(x74021)+E(f16(x74021,f317(f162(x74021),f317(f317(f141(x74021),x74022),x74023))),f317(f132(x74021,x74021,f224(x74021),x74022),x74023))
% 192.07/191.92 [7403]~P108(x74031)+E(f17(x74031,f317(f162(x74031),f317(f317(f141(x74031),x74032),x74033))),f317(f132(x74031,x74031,f225(x74031),x74032),x74033))
% 192.07/191.92 [7467]~P2(f317(f29(x74671),x74672))+P2(f317(f317(f226(a903),f317(f30(x74671),x74672)),f317(f30(x74671),f317(f317(f299(x74671),x74673),x74672))))
% 192.07/191.92 [7474]E(f317(f317(f100(f910(a903,a898)),f317(f292(a903,x74741),x74742)),f317(f292(a903,x74742),f317(f317(f74(a903),x74742),x74743))),f317(f292(a903,x74741),f317(f317(f74(a903),x74742),x74743)))+~P2(f317(f317(f226(a903),x74741),x74742))
% 192.07/191.92 [7483]P2(f317(f317(f226(a903),x74831),x74832))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),x74833),x74831)),x74832))
% 192.07/191.92 [7484]P2(f317(f317(f226(a903),x74841),x74842))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),x74841),x74843)),x74842))
% 192.07/191.92 [7485]P2(f317(f317(f227(a903),x74851),x74852))+~P2(f317(f317(f227(a903),f317(f317(f74(a903),x74851),x74853)),x74852))
% 192.07/191.92 [7525]~P108(x75251)+E(f14(x75251,f224(x75251),f317(f162(x75251),f317(f317(f141(x75251),x75252),x75253))),f317(f132(x75251,x75251,f224(x75251),x75252),x75253))
% 192.07/191.92 [7526]~P108(x75261)+E(f15(x75261,f225(x75261),f317(f162(x75261),f317(f317(f141(x75261),x75262),x75263))),f317(f132(x75261,x75261,f225(x75261),x75262),x75263))
% 192.07/191.92 [7530]~E(x75302,f178(f910(f909(x75301,x75301),a898)))+P2(f317(f317(f226(f910(f909(x75301,x75301),a898)),x75302),x75303))
% 192.07/191.92 [7629]E(f317(f317(f100(f910(x76291,a898)),x76292),f317(f317(f3(f910(x76291,a898)),x76293),x76292)),x76293)+~P2(f317(f317(f226(f910(x76291,a898)),x76292),x76293))
% 192.07/191.92 [7631]~P2(f317(f317(f226(a903),x76311),f317(f317(f74(a903),x76313),x76312)))+P2(f317(f317(f226(a903),f317(f317(f3(a903),x76311),x76312)),x76313))
% 192.07/191.92 [7632]~P2(f317(f317(f227(a903),x76321),f317(f317(f3(a903),x76323),x76322)))+P2(f317(f317(f227(a903),f317(f317(f74(a903),x76321),x76322)),x76323))
% 192.07/191.92 [7689]E(x76891,f103(x76892))+E(f317(f131(x76892),f317(f317(f317(f173(f904(x76892),f904(x76892)),x76893),f157(x76892)),x76891)),f317(f317(f154(x76892),x76891),f41(a903,x76893,f317(f179(f904(x76892)),x76891))))
% 192.07/191.92 [7698]E(f317(f317(f299(x76981),x76982),f317(f317(f3(f910(x76981,a898)),x76983),f317(f317(f299(x76981),x76982),f178(f910(x76981,a898))))),x76983)+~P2(f317(f317(f319(x76981),x76982),x76983))
% 192.07/191.92 [7860]P2(f317(f317(f226(a903),x78601),f317(f317(f74(a903),x78602),x78603)))+~P2(f317(f317(f226(a903),f317(f317(f3(a903),x78601),x78603)),x78602))
% 192.07/191.92 [7861]P2(f317(f317(f227(a903),x78611),f317(f317(f3(a903),x78612),x78613)))+~P2(f317(f317(f227(a903),f317(f317(f74(a903),x78611),x78613)),x78612))
% 192.07/191.92 [7887]P2(f317(f29(x78871),x78872))+~P2(f317(f29(x78871),f317(f317(f100(f910(x78871,a898)),x78873),x78872)))
% 192.07/191.92 [7888]P2(f317(f29(x78881),x78882))+~P2(f317(f29(x78881),f317(f317(f100(f910(x78881,a898)),x78882),x78883)))
% 192.07/191.92 [7962]~P46(x79621,x79623)+P2(f317(f317(f319(f909(x79621,x79621)),f317(f317(f242(x79621,x79621),x79622),x79622)),x79623))
% 192.07/191.92 [8095]E(f317(f317(f154(a903),f129(a903,f317(f292(a903,x80951),x80952))),x80953),f317(f317(f74(a903),x80951),x80953))+~P2(f317(f317(f227(a903),f317(f317(f74(a903),x80951),x80953)),x80952))
% 192.07/191.92 [8161]E(f317(f317(f165(a903),x81611),f129(a903,f317(f292(a903,x81612),x81613))),f129(a903,f317(f292(a903,x81612),f317(f317(f74(a903),x81612),x81611))))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),x81612),x81611)),x81613))
% 192.07/191.92 [8218]~P93(x82181)+E(f317(f317(f234(x82181),x82182),f317(f93(a903),f317(f317(f74(a1),x82183),x82183))),f317(f317(f80(x82181,x82181),f317(f317(f234(x82181),x82182),f317(f93(a903),x82183))),f317(f317(f20(x82181,x82181,x82181),f75(x82181)),f7(x82181))))
% 192.07/191.92 [8484]E(f317(f317(f124(x84841),f317(f317(f165(x84841),x84842),x84843)),f317(f317(f141(x84841),f317(f317(f154(x84841),x84843),x84842)),f317(f317(f128(x84841),f317(a102,x84842)),x84843))),x84843)+~P2(f317(f317(f227(a903),x84842),f317(f179(f904(x84841)),x84843)))
% 192.07/191.92 [8491]P2(f317(f317(f226(f910(x84911,a898)),f305(x84911,x84912)),f305(x84911,x84913)))+~P2(f317(f317(f226(f910(x84911,f910(x84911,a898))),x84913),x84912))
% 192.07/191.92 [8492]~P55(x84921,x84922,x84923)+P55(x84921,x84922,f317(f317(f3(f910(f909(x84921,x84921),a898)),x84923),f297(x84921,f178(f910(f909(x84921,x84921),a898)))))
% 192.07/191.92 [8511]P2(f317(f317(f226(f910(x85111,a898)),f306(x85111,x85112)),f306(x85111,x85113)))+~P2(f317(f317(f226(f910(f909(x85111,x85111),a898)),x85113),x85112))
% 192.07/191.92 [8517]~P2(f317(f317(f227(f910(x85171,a898)),x85173),x85172))+P2(f317(f317(f319(x85171),f564(x85172,x85173,x85171)),f317(f317(f3(f910(x85171,a898)),x85172),x85173)))
% 192.07/191.92 [8519]~P125(x85191)+P2(f317(f317(f226(x85191),f2(x85191)),f317(f317(f74(x85191),f317(f317(f75(x85191),x85192),x85192)),f317(f317(f75(x85191),x85193),x85193))))
% 192.07/191.92 [8553]P2(f317(f317(f226(f910(x85531,a898)),f317(f271(x85531),x85532)),f317(f271(x85531),x85533)))+~P2(f317(f317(f226(f910(f909(x85531,x85531),a898)),x85532),x85533))
% 192.07/191.92 [8582]~P53(x85821,x85822)+~P2(f317(f317(f319(f909(x85821,x85821)),f317(f317(f242(x85821,x85821),x85823),x85823)),x85822))
% 192.07/191.92 [8584]~P37(x85841,x85842)+~P2(f317(f317(f319(f909(x85841,x85841)),f317(f317(f242(x85841,x85841),x85843),x85843)),x85842))
% 192.07/191.92 [8642]P2(f317(f317(f226(f910(x86421,a898)),f32(f910(x86421,a898),x86422)),f32(f910(x86421,a898),x86423)))+~P2(f317(f317(f226(f910(f910(x86421,a898),a898)),x86422),x86423))
% 192.07/191.92 [8643]P2(f317(f317(f226(f910(x86431,a898)),f33(f910(x86431,a898),x86432)),f33(f910(x86431,a898),x86433)))+~P2(f317(f317(f226(f910(f910(x86431,a898),a898)),x86433),x86432))
% 192.07/191.92 [8697]~P9(x86971,x86973,x86972)+P2(f317(f317(f226(f910(f909(x86971,x86971),a898)),x86972),f317(f317(f244(x86971,x86971),x86973),f317(f18(f910(x86971,a898),x86971),x86973))))
% 192.07/191.92 [8698]~P52(x86981,x86983,x86982)+P2(f317(f317(f226(f910(f909(x86981,x86981),a898)),x86982),f317(f317(f244(x86981,x86981),x86983),f317(f18(f910(x86981,a898),x86981),x86983))))
% 192.07/191.92 [8747]~P85(x87471)+P2(f317(f317(f226(x87471),f317(f317(f3(x87471),f317(f70(x87471),x87472)),f317(f70(x87471),x87473))),f317(f70(x87471),f317(f317(f3(x87471),x87473),x87472))))
% 192.07/191.92 [8748]~P85(x87481)+P2(f317(f317(f226(x87481),f317(f317(f3(x87481),f317(f70(x87481),x87482)),f317(f70(x87481),x87483))),f317(f70(x87481),f317(f317(f3(x87481),x87482),x87483))))
% 192.07/191.92 [8780]P2(f317(f317(f226(f910(f909(x87801,x87801),a898)),f297(x87801,x87802)),f297(x87801,x87803)))+~P2(f317(f317(f226(f910(f909(x87801,x87801),a898)),x87802),x87803))
% 192.07/191.92 [8891]~P25(x88912,x88911,x88913,f232(f910(x88912,a898)))+E(f317(f67(x88911,x88912,x88912,f85(x88912,x88911,f232(f910(x88912,a898)),x88913)),x88913),f25(x88912))
% 192.07/191.92 [8951]P55(x89511,x89512,x89513)+~P55(x89511,x89512,f317(f317(f3(f910(f909(x89511,x89511),a898)),x89513),f297(x89511,f178(f910(f909(x89511,x89511),a898)))))
% 192.07/191.92 [8971]P2(f317(f317(f226(f910(f909(f904(x89711),f904(x89711)),a898)),f147(x89711,x89712)),f147(x89711,x89713)))+~P2(f317(f317(f226(f910(f909(x89711,x89711),a898)),x89712),x89713))
% 192.07/191.92 [8972]P2(f317(f317(f226(f910(f909(f904(x89721),f904(x89721)),a898)),f148(x89721,x89722)),f148(x89721,x89723)))+~P2(f317(f317(f226(f910(f909(x89721,x89721),a898)),x89722),x89723))
% 192.07/191.92 [8993]~P52(x89931,x89933,x89932)+P2(f317(f317(f226(f910(f909(x89931,x89931),a898)),x89932),f317(f317(f279(x89931,x89931,x89931),f317(f276(x89931,x89931),x89932)),x89932)))
% 192.07/191.92 [9045]~P2(f317(f127(x90451),x90452))+E(f317(f126(x90451,f317(f317(f9(x90451,f910(x90451,a898),a898),f319(x90451)),f317(f162(x90451),f166(x90451,x90452,x90453)))),x90452),f166(x90451,x90452,x90453))
% 192.07/191.92 [9098]E(x90981,x90982)+~P2(f317(f317(f319(f909(x90983,x90983)),f317(f317(f242(x90983,x90983),x90981),x90982)),f297(x90983,f178(f910(f909(x90983,x90983),a898)))))
% 192.07/191.92 [9180]P2(f317(f317(f319(x91801),x91802),f306(x91801,x91803)))+P2(f317(f317(f319(f909(x91801,x91801)),f317(f317(f242(x91801,x91801),f519(x91803,x91802,x91801)),x91802)),x91803))
% 192.07/191.92 [9181]P2(f317(f317(f319(x91811),x91812),f306(x91811,x91813)))+P2(f317(f317(f319(f909(x91811,x91811)),f317(f317(f242(x91811,x91811),f683(x91813,x91812,x91811)),x91812)),x91813))
% 192.07/191.92 [9182]P2(f317(f317(f319(x91821),x91822),f306(x91821,x91823)))+P2(f317(f317(f319(f909(x91821,x91821)),f317(f317(f242(x91821,x91821),f691(x91823,x91822,x91821)),x91822)),x91823))
% 192.07/191.92 [9218]P25(x92181,x92182,x92183,f232(f910(x92181,a898)))+~E(f317(f67(x92182,x92181,x92181,f85(x92181,x92182,f232(f910(x92181,a898)),x92183)),x92183),f25(x92181))
% 192.07/191.92 [9271]~P2(f317(f317(f319(f904(x92711)),x92713),f151(x92711,x92712)))+P2(f317(f150(x92711,f317(f317(f9(x92711,f910(x92711,a898),a898),f319(x92711)),x92712)),x92713))
% 192.07/191.92 [9294]P2(f317(x92943,x92942))+E(f317(f252(x92941),f317(f317(f20(x92941,a898,a898),f317(f317(f10(a898,f910(a898,a898),x92941),a315),f317(a314,x92942))),x92943)),f178(f910(x92941,a898)))
% 192.07/191.92 [9311]~P85(x93111)+P2(f317(f317(f226(x93111),f317(f70(x93111),f317(f317(f3(x93111),f317(f70(x93111),x93112)),f317(f70(x93111),x93113)))),f317(f70(x93111),f317(f317(f3(x93111),x93112),x93113))))
% 192.07/191.92 [9325]~P2(f317(x93253,x93252))+E(f317(f252(x93251),f317(f317(f20(x93251,a898,a898),f317(f317(f10(a898,f910(a898,a898),x93251),a315),f317(a314,x93252))),x93253)),f317(f317(f299(x93251),x93252),f178(f910(x93251,a898))))
% 192.07/191.92 [9334]~P2(f317(f317(f319(f910(x93341,a898)),x93343),f317(f298(x93341),x93342)))+P2(f317(f238(x93341,f317(f317(f9(x93341,f910(x93341,a898),a898),f319(x93341)),x93342)),x93343))
% 192.07/191.92 [9371]P37(x93711,x93712)+P2(f317(f317(f319(f909(x93711,x93711)),f317(f317(f242(x93711,x93711),f317(f557(x93712,x93711),f317(a102,x93713))),f317(f557(x93712,x93711),x93713))),x93712))
% 192.07/191.92 [9513]P2(f317(f317(f319(f904(x95131)),x95132),f151(x95131,x95133)))+~P2(f317(f150(x95131,f317(f317(f9(x95131,f910(x95131,a898),a898),f319(x95131)),x95133)),x95132))
% 192.07/191.92 [9528]P2(f317(f317(f319(f910(x95281,a898)),x95282),f317(f298(x95281),x95283)))+~P2(f317(f238(x95281,f317(f317(f9(x95281,f910(x95281,a898),a898),f319(x95281)),x95283)),x95282))
% 192.07/191.92 [9593]P2(f317(f317(f319(x95931),f317(f258(x95931,x95932),x95933)),f317(f162(x95931),f317(f317(f144(f909(a89,x95931),x95931),f246(a89,x95931)),x95932))))+~P2(f317(f317(f227(a89),x95933),f317(f155(a89),f317(f317(f144(f909(a89,x95931),a89),f241(a89,x95931)),x95932))))
% 192.07/191.92 [9643]P2(f317(f317(f226(f910(f909(f904(x96431),f904(x96431)),a898)),f148(x96431,x96432)),f317(f317(f244(f904(x96431),f904(x96431)),f151(x96431,x96433)),f317(f18(f910(f904(x96431),a898),f904(x96431)),f151(x96431,x96433)))))+~P2(f317(f317(f226(f910(f909(x96431,x96431),a898)),x96432),f317(f317(f244(x96431,x96431),x96433),f317(f18(f910(x96431,a898),x96431),x96433))))
% 192.07/191.92 [9668]P2(f317(f317(f319(x96681),f317(f241(x96681,f909(a89,a89)),f317(f256(x96681,x96682),x96683))),f317(f162(x96681),f317(f317(f144(f909(a89,x96681),x96681),f246(a89,x96681)),x96682))))+~P2(f317(f317(f227(a89),f2(a89)),f317(f155(a89),f317(f317(f144(f909(a89,x96681),a89),f241(a89,x96681)),x96682))))
% 192.07/191.92 [9683]~P2(f317(f317(f226(f910(f909(x96831,x96831),a898)),x96832),f317(f317(f244(x96831,x96831),x96833),f317(f18(f910(x96831,a898),x96831),x96833))))+P2(f317(f317(f226(f910(f909(x96831,x96831),a898)),f317(f317(f279(x96831,x96831,x96831),x96832),f297(x96831,x96832))),f317(f317(f244(x96831,x96831),x96833),f317(f18(f910(x96831,a898),x96831),x96833))))
% 192.07/191.92 [9983]~P37(x99831,x99832)+~P2(f317(f317(f319(f909(x99831,x99831)),f317(f317(f242(x99831,x99831),f317(x99833,f317(a102,f558(x99832,x99831,x99833)))),f317(x99833,f558(x99832,x99831,x99833)))),x99832))
% 192.07/191.92 [9984]~P37(x99841,x99842)+~P2(f317(f317(f319(f909(x99841,x99841)),f317(f317(f242(x99841,x99841),f317(x99843,f317(a102,f703(x99843,x99842,x99841)))),f317(x99843,f703(x99843,x99842,x99841)))),x99842))
% 192.07/191.92 [10239]P2(f317(f317(f226(f910(f909(f910(x102391,a898),f910(x102391,a898)),a898)),f317(f317(f279(f910(x102391,a898),f910(x102391,a898),f910(x102391,a898)),f308(x102391,x102392)),f317(f317(f100(f910(f909(f910(x102391,a898),f910(x102391,a898)),a898)),f308(x102391,x102393)),f317(f317(f299(f909(f910(x102391,a898),f910(x102391,a898))),f317(f317(f242(f910(x102391,a898),f910(x102391,a898)),f178(f910(x102391,a898))),f178(f910(x102391,a898)))),f178(f910(f909(f910(x102391,a898),f910(x102391,a898)),a898)))))),f308(x102391,x102392)))+~P2(f317(f317(f226(f910(f909(x102391,x102391),a898)),f317(f317(f279(x102391,x102391,x102391),x102392),x102393)),x102392))
% 192.07/191.92 [10240]P2(f317(f317(f226(f910(f909(f910(x102401,a898),f910(x102401,a898)),a898)),f317(f317(f279(f910(x102401,a898),f910(x102401,a898),f910(x102401,a898)),f309(x102401,x102402)),f317(f317(f100(f910(f909(f910(x102401,a898),f910(x102401,a898)),a898)),f309(x102401,x102403)),f317(f317(f299(f909(f910(x102401,a898),f910(x102401,a898))),f317(f317(f242(f910(x102401,a898),f910(x102401,a898)),f178(f910(x102401,a898))),f178(f910(x102401,a898)))),f178(f910(f909(f910(x102401,a898),f910(x102401,a898)),a898)))))),f309(x102401,x102402)))+~P2(f317(f317(f226(f910(f909(x102401,x102401),a898)),f317(f317(f279(x102401,x102401,x102401),x102402),x102403)),x102402))
% 192.07/191.92 [7399]~P2(f317(f317(f226(a903),x73992),x73991))+E(f317(f317(f3(a903),f317(a102,f317(f317(f3(a903),x73991),x73992))),x73993),f317(f317(f3(a903),f317(a102,x73991)),f317(f317(f74(a903),x73992),x73993)))
% 192.07/191.92 [7439]~P4(x74391)+E(f317(f317(f74(x74391),f41(x74391,x74392,x74393)),f317(f317(f75(x74391),f317(f317(f31(x74391),x74392),x74393)),x74393)),x74392)
% 192.07/191.92 [7636]E(f317(f317(f75(a903),f317(f93(a903),x76361)),f317(f317(f75(a903),f317(f93(a903),x76362)),x76363)),f317(f317(f75(a903),f317(f93(a903),f317(f317(f75(a1),x76361),x76362))),x76363))+P2(f317(f317(f227(a1),x76361),a77))
% 192.07/191.92 [8104]~P2(f317(f317(f226(a903),x81043),x81042))+P2(f317(f317(f226(a903),x81041),f317(f317(f3(a903),f317(f317(f74(a903),x81042),x81041)),x81043)))
% 192.07/191.92 [8304]~P2(f317(f317(f226(a903),x83041),x83042))+E(f317(f317(f124(a903),f129(a903,f317(f292(a903,x83041),x83042))),f129(a903,f317(f292(a903,x83042),f317(f317(f74(a903),x83042),x83043)))),f129(a903,f317(f292(a903,x83041),f317(f317(f74(a903),x83042),x83043))))
% 192.07/191.92 [8561]~P2(f317(f29(x85611),x85612))+E(f317(a102,f317(f30(x85611),f317(f317(f3(f910(x85611,a898)),x85612),f317(f317(f299(x85611),x85613),f178(f910(x85611,a898)))))),f317(f30(x85611),f317(f317(f299(x85611),x85613),x85612)))
% 192.07/191.92 [8600]~P2(f317(f29(x86001),x86002))+E(f317(f317(f74(a903),f72(a903)),f317(f30(x86001),f317(f317(f3(f910(x86001,a898)),x86002),f317(f317(f299(x86001),x86003),f178(f910(x86001,a898)))))),f317(f30(x86001),f317(f317(f299(x86001),x86003),x86002)))
% 192.07/191.92 [8789]E(f317(f317(f3(a903),f317(f30(x87891),x87892)),f317(f30(x87891),f317(f317(f91(f910(x87891,a898)),x87892),x87893))),f317(f30(x87891),f317(f317(f3(f910(x87891,a898)),x87892),x87893)))+~P2(f317(f29(x87891),f317(f317(f91(f910(x87891,a898)),x87892),x87893)))
% 192.07/191.92 [9040]~P7(f317(x90402,f475(x90402,x90403,x90401)))+E(f317(f90(a1),f317(f317(f11(x90401,a903),f317(f317(f10(a1,a903,x90401),a94),x90402)),x90403)),f317(f317(f11(x90401,a1),x90402),x90403))
% 192.07/191.92 [9041]~P7(f317(x90412,f476(x90412,x90413,x90411)))+E(f317(f90(a1),f317(f317(f8(x90411,a903),f317(f317(f10(a1,a903,x90411),a94),x90412)),x90413)),f317(f317(f8(x90411,a1),x90412),x90413))
% 192.07/191.92 [9081]~P2(f317(f29(x90811),x90813))+P2(f317(f317(f226(a903),f317(f317(f3(a903),f317(f30(x90811),x90812)),f317(f30(x90811),x90813))),f317(f30(x90811),f317(f317(f3(f910(x90811,a898)),x90812),x90813))))
% 192.07/191.92 [9108]P2(f317(f317(f319(x91081),f475(x91082,x91083,x91081)),x91083))+E(f317(f90(a1),f317(f317(f11(x91081,a903),f317(f317(f10(a1,a903,x91081),a94),x91082)),x91083)),f317(f317(f11(x91081,a1),x91082),x91083))
% 192.07/191.92 [9109]P2(f317(f317(f319(x91091),f476(x91092,x91093,x91091)),x91093))+E(f317(f90(a1),f317(f317(f8(x91091,a903),f317(f317(f10(a1,a903,x91091),a94),x91092)),x91093)),f317(f317(f8(x91091,a1),x91092),x91093))
% 192.07/191.92 [9172]E(f79(x91721,f317(f317(f9(x91721,f910(x91721,a898),a898),f319(x91721)),f317(f317(f3(f910(x91721,a898)),x91722),f317(f317(f299(x91721),x91723),f178(f910(x91721,a898)))))),f237(x91721,x91723,x91722))+P2(f317(f317(f226(f910(x91721,a898)),x91722),f317(f317(f299(x91721),x91723),f178(f910(x91721,a898)))))
% 192.07/191.92 [9529]E(f317(f317(f144(f904(x95291),x95291),f317(f317(f9(f904(x95291),a903,x95291),f154(x95291)),x95292)),f317(f126(f904(x95291),f317(f317(f10(a903,a898,f904(x95291)),f317(f227(a903),x95292)),f179(f904(x95291)))),x95293)),f317(f317(f154(f904(x95291)),f169(x95291,x95293)),x95292))+~P2(f317(f317(f227(a903),x95292),f317(f179(f904(f904(x95291))),f169(x95291,x95293))))
% 192.07/191.92 [9616]E(f317(f126(x96161,x96162),x96163),f167(x96161,x96162,x96163))+P2(f317(f317(f319(x96161),f642(x96163,x96162,x96161)),f317(f162(x96161),f317(f317(f128(x96161),f317(f179(f904(x96161)),f167(x96161,x96162,x96163))),x96163))))
% 192.07/191.92 [9756]E(f317(f317(f128(x97561),f317(f179(f904(x97561)),f167(x97561,x97562,x97563))),x97563),f103(x97561))+~P2(f317(x97562,f317(f131(x97561),f317(f317(f128(x97561),f317(f179(f904(x97561)),f167(x97561,x97562,x97563))),x97563))))
% 192.07/191.92 [9848]~P2(f317(f317(f319(f909(x98481,x98481)),x98482),f297(x98481,x98483)))+P2(f317(f317(f319(f909(x98481,x98481)),x98482),f317(f317(f36(a903,f910(f909(x98481,x98481),a898)),f232(f910(a903,a898))),f317(f317(f9(a903,f910(f909(x98481,x98481),a898),f910(f909(x98481,x98481),a898)),f173(f909(x98481,x98481),a898)),x98483))))
% 192.07/191.92 [9910]~P2(f317(f317(f226(f910(x99101,a898)),f317(f317(f36(a903,f910(x99101,a898)),f317(f292(a903,f2(a903)),f504(x99103,x99102,x99101))),x99102)),x99103))+P2(f317(f317(f226(f910(x99101,a898)),f317(f317(f36(a903,f910(x99101,a898)),f232(f910(a903,a898))),x99102)),x99103))
% 192.07/191.92 [9956]~P2(f317(f317(f227(a1),f2(a1)),x99563))+P2(f317(f317(f227(a1),x99561),f317(f317(f74(a1),x99562),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f3(a1),x99562),x99561))),f72(a1))),x99563))))
% 192.07/191.92 [9970]~P37(x99701,f317(f317(f100(f910(f909(x99701,x99701),a898)),x99702),x99703))+P37(x99701,f317(f317(f100(f910(f909(x99701,x99701),a898)),f317(f317(f100(f910(f909(x99701,x99701),a898)),f317(f317(f279(x99701,x99701,x99701),x99702),x99702)),f317(f317(f279(x99701,x99701,x99701),x99703),x99702))),x99703))
% 192.07/191.92 [10045]P37(x100451,f317(f317(f100(f910(f909(x100451,x100451),a898)),x100452),x100453))+~P37(x100451,f317(f317(f100(f910(f909(x100451,x100451),a898)),f317(f317(f100(f910(f909(x100451,x100451),a898)),f317(f317(f279(x100451,x100451,x100451),x100452),x100452)),f317(f317(f279(x100451,x100451,x100451),x100453),x100452))),x100453))
% 192.07/191.92 [9620]~P141(x96201)+E(f317(f92(x96201),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x96202),x96203)),f178(f910(f909(a903,a903),a898)))))),f317(f317(f3(x96201),f317(f90(x96201),x96202)),f317(f90(x96201),x96203)))
% 192.07/191.92 [9703]P2(f317(x97033,x97032))+E(f317(f252(x97031),f317(f317(f20(x97031,a898,a898),f317(f317(f10(a898,f910(a898,a898),x97031),a315),f317(f317(f9(x97031,x97031,a898),a314),x97032))),x97033)),f178(f910(x97031,a898)))
% 192.07/191.92 [9705]~P2(f317(x97053,x97052))+E(f317(f252(x97051),f317(f317(f20(x97051,a898,a898),f317(f317(f10(a898,f910(a898,a898),x97051),a315),f317(f317(f9(x97051,x97051,a898),a314),x97052))),x97053)),f317(f317(f299(x97051),x97052),f178(f910(x97051,a898))))
% 192.07/191.92 [9936]E(x99361,x99362)+P2(f317(f317(f233(x99363,x99363,f317(f317(f10(f910(x99363,a898),f910(x99363,a898),x99363),f317(f10(a898,a898,x99363),a312)),a314)),x99361),x99362))
% 192.07/191.92 [10025]~E(x100251,x100252)+~P2(f317(f317(f233(x100253,x100253,f317(f317(f10(f910(x100253,a898),f910(x100253,a898),x100253),f317(f10(a898,a898,x100253),a312)),a314)),x100251),x100252))
% 192.07/191.92 [10037]~P2(f317(f29(x100371),x100373))+E(f317(f317(f59(x100371,f910(x100371,a898),f317(f317(f10(f910(x100371,a898),f910(f910(x100371,a898),f910(x100371,a898)),x100371),f317(f9(f910(x100371,a898),f910(x100371,a898),f910(x100371,a898)),f3(f910(x100371,a898)))),f317(f317(f9(x100371,f910(x100371,a898),f910(x100371,a898)),f299(x100371)),f178(f910(x100371,a898))))),x100372),x100373),f317(f317(f3(f910(x100371,a898)),x100372),x100373))
% 192.07/191.92 [10067]~P2(f317(f317(f227(a1),f2(a1)),x100673))+P2(f317(f317(f227(a1),f317(f317(f3(a1),x100671),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f3(a1),x100671),x100672))),f72(a1))),x100673))),x100672))
% 192.07/191.92 [10329]~P2(f317(f317(f319(x103291),x103293),f306(x103291,x103292)))+P2(f317(f305(x103291,f317(f317(f9(x103291,f910(f909(x103291,x103291),a898),f910(x103291,a898)),f317(f317(f10(f910(x103291,f910(f910(f909(x103291,x103291),a898),a898)),f910(f910(f909(x103291,x103291),a898),f910(x103291,a898)),x103291),f9(x103291,f910(f909(x103291,x103291),a898),a898)),f317(f317(f10(f910(x103291,f909(x103291,x103291)),f910(x103291,f910(f910(f909(x103291,x103291),a898),a898)),x103291),f317(f10(f909(x103291,x103291),f910(f910(f909(x103291,x103291),a898),a898),x103291),f319(f909(x103291,x103291)))),f242(x103291,x103291)))),x103292)),x103293))
% 192.07/191.92 [10342]P2(f317(f317(f319(x103421),x103422),f306(x103421,x103423)))+~P2(f317(f305(x103421,f317(f317(f9(x103421,f910(f909(x103421,x103421),a898),f910(x103421,a898)),f317(f317(f10(f910(x103421,f910(f910(f909(x103421,x103421),a898),a898)),f910(f910(f909(x103421,x103421),a898),f910(x103421,a898)),x103421),f9(x103421,f910(f909(x103421,x103421),a898),a898)),f317(f317(f10(f910(x103421,f909(x103421,x103421)),f910(x103421,f910(f910(f909(x103421,x103421),a898),a898)),x103421),f317(f10(f909(x103421,x103421),f910(f910(f909(x103421,x103421),a898),a898),x103421),f319(f909(x103421,x103421)))),f242(x103421,x103421)))),x103423)),x103422))
% 192.07/191.92 [9908]~P2(f317(f29(x99081),f317(f252(x99081),x99083)))+P2(f317(f29(x99081),f317(f252(x99081),f317(f317(f20(x99081,a898,a898),f317(f317(f10(a898,f910(a898,a898),x99081),a315),x99082)),x99083))))
% 192.07/191.92 [9909]~P2(f317(f29(x99091),f317(f252(x99091),x99092)))+P2(f317(f29(x99091),f317(f252(x99091),f317(f317(f20(x99091,a898,a898),f317(f317(f10(a898,f910(a898,a898),x99091),a315),x99092)),x99093))))
% 192.07/191.92 [10004]P2(f317(f29(x100041),f317(f252(x100041),x100042)))+~P2(f317(f29(x100041),f317(f252(x100041),f317(f317(f20(x100041,a898,a898),f317(f317(f10(a898,f910(a898,a898),x100041),a316),x100043)),x100042))))
% 192.07/191.92 [10005]P2(f317(f29(x100051),f317(f252(x100051),x100052)))+~P2(f317(f29(x100051),f317(f252(x100051),f317(f317(f20(x100051,a898,a898),f317(f317(f10(a898,f910(a898,a898),x100051),a316),x100052)),x100053))))
% 192.07/191.92 [10308]~P2(f317(f29(x103081),x103082))+P2(f317(f29(f904(x103081)),f317(f252(f904(x103081)),f317(f317(f20(f904(x103081),a898,a898),f317(f317(f10(a898,f910(a898,a898),f904(x103081)),a315),f317(f317(f9(f904(x103081),f910(x103081,a898),a898),f317(f317(f10(f910(x103081,a898),f910(f910(x103081,a898),a898),f904(x103081)),f226(f910(x103081,a898))),f162(x103081))),x103082))),f317(f317(f9(f904(x103081),a903,a898),f317(f317(f10(a903,f910(a903,a898),f904(x103081)),a314),f179(f904(x103081)))),x103083)))))
% 192.07/191.92 [10309]~P2(f317(f29(x103091),x103092))+P2(f317(f29(f904(x103091)),f317(f252(f904(x103091)),f317(f317(f20(f904(x103091),a898,a898),f317(f317(f10(a898,f910(a898,a898),f904(x103091)),a315),f317(f317(f9(f904(x103091),f910(x103091,a898),a898),f317(f317(f10(f910(x103091,a898),f910(f910(x103091,a898),a898),f904(x103091)),f226(f910(x103091,a898))),f162(x103091))),x103092))),f317(f317(f9(f904(x103091),a903,a898),f317(f317(f10(a903,f910(a903,a898),f904(x103091)),f226(a903)),f179(f904(x103091)))),x103093)))))
% 192.07/191.92 [10018]~P118(x100181)+E(f317(f317(f234(x100181),x100182),f317(f317(f75(a903),f317(f93(a903),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)))),x100183)),f317(f317(f75(x100181),f317(f317(f234(x100181),x100182),x100183)),f317(f317(f234(x100181),x100182),x100183)))
% 192.07/191.92 [10048]~P81(x100481)+E(f317(f317(f234(x100481),f317(f317(f234(x100481),x100482),x100483)),f317(f93(a903),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(x100481),x100482),f317(f317(f75(a903),f317(f93(a903),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)))),x100483)))
% 192.07/191.92 [10105]~P141(x101051)+E(f317(f317(f234(x101051),f317(f73(x101051),x101052)),f317(f317(f75(a903),f317(f93(a903),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)))),x101053)),f317(f317(f234(x101051),x101052),f317(f317(f75(a903),f317(f93(a903),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)))),x101053)))
% 192.07/191.92 [10247]~P117(x102471)+P2(f317(f317(f226(x102471),f2(x102471)),f317(f317(f74(x102471),f317(f317(f234(x102471),x102472),f317(f93(a903),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(x102471),x102473),f317(f93(a903),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)))))))
% 192.07/191.92 [10115]~P118(x101151)+E(f317(f317(f234(x101151),x101152),f317(a102,f317(f317(f75(a903),f317(f93(a903),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)))),x101153))),f317(f317(f75(x101151),x101152),f317(f317(f75(x101151),f317(f317(f234(x101151),x101152),x101153)),f317(f317(f234(x101151),x101152),x101153))))
% 192.07/191.92 [10165]~P81(x101651)+E(f317(f317(f75(x101651),x101652),f317(f317(f234(x101651),f317(f317(f234(x101651),x101652),x101653)),f317(f93(a903),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(x101651),x101652),f317(a102,f317(f317(f75(a903),f317(f93(a903),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)))),x101653))))
% 192.07/191.92 [10204]~P117(x102041)+P2(f317(f317(f226(x102041),f2(x102041)),f317(f317(f234(x102041),x102042),f317(f317(f75(a903),f317(f93(a903),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)))),x102043))))
% 192.07/191.92 [10284]~P93(x102841)+E(f317(f317(f3(x102841),f317(f317(f74(x102841),f317(f317(f234(x102841),x102842),f317(f93(a903),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(x102841),x102843),f317(f93(a903),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(x102841),f317(f317(f75(x102841),f317(f93(x102841),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)))),x102842)),x102843)),f317(f317(f234(x102841),f317(f317(f3(x102841),x102842),x102843)),f317(f93(a903),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)))))
% 192.07/191.92 [10285]~P93(x102851)+E(f317(f317(f74(x102851),f317(f317(f74(x102851),f317(f317(f234(x102851),x102852),f317(f93(a903),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(x102851),x102853),f317(f93(a903),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(x102851),f317(f317(f75(x102851),f317(f93(x102851),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)))),x102852)),x102853)),f317(f317(f234(x102851),f317(f317(f74(x102851),x102852),x102853)),f317(f93(a903),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)))))
% 192.07/191.92 [7904]P25(x79041,x79042,x79043,x79044)+~E(f563(x79044,x79043,x79042,x79041),f587(x79044,x79043,x79042,x79041))
% 192.07/191.92 [8195]P34(x81951,x81952,x81953,x81954,f103(x81952))+~E(x81954,f103(x81951))
% 192.07/191.92 [8196]P34(x81961,x81962,x81963,f103(x81961),x81964)+~E(x81964,f103(x81962))
% 192.07/191.92 [8737]~P34(x87372,x87373,x87374,x87371,f103(x87373))+E(x87371,f103(x87372))
% 192.07/191.92 [8738]~P34(x87383,x87382,x87384,f103(x87383),x87381)+E(x87381,f103(x87382))
% 192.07/191.92 [5139]~P18(x51393,x51391,x51394)+E(f317(f317(x51391,x51392),x51392),x51392)
% 192.07/191.92 [5385]P2(f317(x53852,x53854))+E(f317(f126(x53851,x53852),f159(x53851,x53853,x53854)),f103(x53851))
% 192.07/191.92 [5424]~E(x54244,f178(f910(x54241,a898)))+E(f317(f300(x54241,x54242,x54243),x54244),f178(f910(x54242,a898)))
% 192.07/191.92 [5672]~P2(f317(x56722,x56724))+E(f317(f126(x56721,x56722),f159(x56721,x56723,x56724)),f159(x56721,x56723,x56724))
% 192.07/191.92 [5702]~E(f317(f300(x57022,x57023,x57024),x57021),f178(f910(x57023,a898)))+E(x57021,f178(f910(x57022,a898)))
% 192.07/191.92 [5889]~P8(x58891,x58893)+E(f261(x58891,x58892,f260(x58891,x58893),x58894),x58894)
% 192.07/191.92 [6005]~P108(x60052)+E(f317(f317(f138(x60051,x60052,x60053),x60054),f103(x60051)),f317(f317(f141(x60051),x60054),f103(x60051)))
% 192.07/191.92 [6372]~E(x63721,f178(f910(x63722,a898)))+~P2(f317(f57(x63722,x63723,x63721),x63724))
% 192.07/191.92 [6395]~P58(x63951,x63953,x63954,x63952)+P2(f317(f29(x63951),x63952))
% 192.07/191.92 [6397]~P58(x63971,x63973,x63972,x63974)+P2(f317(f29(x63971),x63972))
% 192.07/191.92 [6405]~P58(x64052,x64053,x64054,x64051)+~E(x64051,f178(f910(x64052,a898)))
% 192.07/191.92 [6439]~P109(x64391)+E(f317(f317(f91(f910(x64391,a898)),f317(f292(x64391,x64392),x64393)),f293(x64391,x64393,x64394)),f178(f910(x64391,a898)))
% 192.07/191.92 [6466]~P2(f317(f317(x64663,x64664),x64662))+P2(f317(f317(f319(x64661),x64662),f285(x64661,x64663,x64664)))
% 192.07/191.92 [6467]~P2(f317(f317(x64673,x64674),x64672))+P2(f317(f317(f319(x64671),x64672),f284(x64671,x64673,x64674)))
% 192.07/191.92 [6468]~P2(f317(f317(x64683,x64682),x64684))+P2(f317(f317(f319(x64681),x64682),f288(x64681,x64683,x64684)))
% 192.07/191.92 [6469]~P2(f317(f317(x64693,x64692),x64694))+P2(f317(f317(f319(x64691),x64692),f286(x64691,x64693,x64694)))
% 192.07/191.92 [6615]~P109(x66151)+E(f317(f317(f91(f910(x66151,a898)),f296(x66151,x66152,x66153)),f293(x66151,x66153,x66154)),f178(f910(x66151,a898)))
% 192.07/191.92 [6616]~P109(x66161)+E(f317(f317(f91(f910(x66161,a898)),f293(x66161,x66162,x66163)),f296(x66161,x66163,x66164)),f178(f910(x66161,a898)))
% 192.07/191.92 [6617]~P109(x66171)+E(f317(f317(f91(f910(x66171,a898)),f293(x66171,x66172,x66173)),f295(x66171,x66173,x66174)),f178(f910(x66171,a898)))
% 192.07/191.92 [6618]~P109(x66181)+E(f317(f317(f91(f910(x66181,a898)),f295(x66181,x66182,x66183)),f296(x66181,x66183,x66184)),f178(f910(x66181,a898)))
% 192.07/191.92 [6619]~P109(x66191)+E(f317(f317(f91(f910(x66191,a898)),f295(x66191,x66192,x66193)),f295(x66191,x66193,x66194)),f178(f910(x66191,a898)))
% 192.07/191.92 [6657]P2(f317(f317(x66571,x66572),f615(x66572,x66571)))+~P2(f317(f239(x66573,x66574,x66571),x66572))
% 192.07/191.92 [6739]~P108(x67392)+E(f317(f162(x67391),f140(x67391,x67392,x67393,x67394)),f317(f162(x67391),x67394))
% 192.07/191.92 [6791]~P145(x67911)+E(f180(x67911,x67912,f317(a102,x67913),x67914),f180(x67911,x67912,x67913,f317(x67912,x67914)))
% 192.07/191.92 [6856]~P2(f317(f317(f319(x68564),x68563),f285(x68564,x68561,x68562)))+P2(f317(f317(x68561,x68562),x68563))
% 192.07/191.92 [6857]~P2(f317(f317(f319(x68574),x68573),f284(x68574,x68571,x68572)))+P2(f317(f317(x68571,x68572),x68573))
% 192.07/191.92 [6858]~P2(f317(f317(f319(x68584),x68582),f288(x68584,x68581,x68583)))+P2(f317(f317(x68581,x68582),x68583))
% 192.07/191.92 [6859]~P2(f317(f317(f319(x68594),x68592),f286(x68594,x68591,x68593)))+P2(f317(f317(x68591,x68592),x68593))
% 192.07/191.92 [6936]E(f317(f30(f908(x69361,x69362)),f303(x69361,x69362,x69363,x69364)),f2(a903))+P2(f317(f29(x69362),x69364))
% 192.07/191.92 [6937]E(f317(f30(f908(x69371,x69372)),f303(x69371,x69372,x69373,x69374)),f2(a903))+P2(f317(f29(x69371),x69373))
% 192.07/191.92 [7143]~P15(x71434,x71431,x71432)+E(f317(f67(x71431,x71431,x71431,f317(x71432,x71433)),f317(x71432,x71433)),f317(x71432,x71433))
% 192.07/191.92 [7384]E(f267(x73841,x73842,x73843,x73844),f317(f242(f910(a89,f910(a898,f906(f905(x73841)))),f909(a89,a89)),f37(x73841)))+~P2(f317(f317(f226(a89),x73843),f2(a89)))
% 192.07/191.92 [8027]~E(x80272,x80273)+P2(f317(f317(f319(f909(x80271,x80271)),f317(f317(f242(x80271,x80271),x80272),x80273)),f297(x80271,x80274)))
% 192.07/191.92 [8056]~P25(x80561,x80562,x80563,f232(f910(x80561,a898)))+E(f317(f71(x80561,x80562,f232(f910(x80561,a898)),x80563),f317(x80563,x80564)),x80564)
% 192.07/191.92 [8057]~P25(x80571,x80572,x80573,f232(f910(x80571,a898)))+E(f317(f85(x80571,x80572,f232(f910(x80571,a898)),x80573),f317(x80573,x80574)),x80574)
% 192.07/191.92 [8144]~P2(f317(f317(f319(f904(x81441)),f317(f317(f124(x81441),x81444),x81442)),f151(x81441,x81443)))+P2(f317(f317(f319(f904(x81441)),x81442),f151(x81441,x81443)))
% 192.07/191.92 [8145]~P2(f317(f317(f319(f904(x81451)),f317(f317(f124(x81451),x81452),x81454)),f151(x81451,x81453)))+P2(f317(f317(f319(f904(x81451)),x81452),f151(x81451,x81453)))
% 192.07/191.92 [8146]~P2(f317(f317(f319(f904(x81461)),f317(f317(f141(x81461),x81464),x81462)),f151(x81461,x81463)))+P2(f317(f317(f319(f904(x81461)),x81462),f151(x81461,x81463)))
% 192.07/191.92 [8157]~P108(x81571)+P14(x81571,f317(f317(f144(x81572,x81571),x81573),f140(x81572,x81571,x81573,x81574)))
% 192.07/191.92 [8262]P25(x82624,x82623,x82621,x82622)+E(f317(x82621,f563(x82622,x82621,x82623,x82624)),f317(x82621,f587(x82622,x82621,x82623,x82624)))
% 192.07/191.92 [8369]~P25(x83692,x83691,x83694,x83693)+P25(x83691,x83692,f71(x83692,x83691,x83693,x83694),f317(f300(x83692,x83691,x83694),x83693))
% 192.07/191.92 [8509]P37(f909(x85092,x85094),f270(x85092,x85094,x85091,x85093))+P2(f317(x85091,f623(x85092,x85093,x85094,x85091)))
% 192.07/191.92 [8625]E(x86251,x86252)+~P2(f317(f317(f319(f909(x86253,x86253)),f317(f317(f242(x86253,x86253),x86251),x86252)),f253(x86253,x86254)))
% 192.07/191.92 [8689]~P2(f317(f29(f908(x86893,x86891)),f303(x86893,x86891,x86894,x86892)))+P2(f317(f29(x86891),x86892))
% 192.07/191.92 [8690]~P2(f317(f29(f908(x86901,x86903)),f303(x86901,x86903,x86902,x86904)))+P2(f317(f29(x86901),x86902))
% 192.07/191.92 [8699]~P25(x86991,x86992,x86993,x86994)+P26(x86991,x86992,x86993,x86994,f317(f300(x86991,x86992,x86993),x86994))
% 192.07/191.92 [8700]P12(x87001,x87002,x87003,x87004)+~E(f317(x87004,f838(x87002,x87004,x87003,x87001)),f317(x87004,f839(x87002,x87004,x87003,x87001)))
% 192.07/191.92 [8790]~P26(x87902,x87903,x87904,x87901,f178(f910(x87903,a898)))+E(x87901,f178(f910(x87902,a898)))
% 192.07/191.92 [8791]~P26(x87913,x87912,x87914,f178(f910(x87913,a898)),x87911)+E(x87911,f178(f910(x87912,a898)))
% 192.07/191.92 [8883]P37(f909(x88831,x88832),f270(x88831,x88832,x88833,x88834))+~P37(x88832,f317(x88834,f623(x88831,x88834,x88832,x88833)))
% 192.07/191.92 [9449]E(f317(f317(f149(x94491,x94492),f588(x94493,x94494,x94492,x94491)),f589(x94493,x94494,x94492,x94491)),x94494)+~P2(f317(f317(f319(f909(f904(x94491),f904(x94491))),f317(f317(f242(f904(x94491),f904(x94491)),x94492),x94494)),f147(x94491,x94493)))
% 192.07/191.92 [9454]~P2(f317(f317(f319(f909(f904(x94541),f904(x94541))),f317(f317(f242(f904(x94541),f904(x94541)),x94542),x94543)),f135(x94541,x94544)))+P2(f317(f317(f319(f909(f904(x94541),f904(x94541))),f317(f317(f242(f904(x94541),f904(x94541)),x94542),x94543)),f137(x94541,x94544)))
% 192.07/191.93 [9566]P2(f317(f29(x95661),x95662))+~P2(f317(f317(f319(f909(f910(x95661,a898),f910(x95661,a898))),f317(f317(f242(f910(x95661,a898),f910(x95661,a898)),x95663),x95662)),f309(x95661,x95664)))
% 192.07/191.93 [9567]P2(f317(f29(x95671),x95672))+~P2(f317(f317(f319(f909(f910(x95671,a898),f910(x95671,a898))),f317(f317(f242(f910(x95671,a898),f910(x95671,a898)),x95672),x95673)),f309(x95671,x95674)))
% 192.07/191.93 [9570]~E(x95701,f178(f910(x95702,a898)))+~P2(f317(f317(f319(f909(f910(x95702,a898),f910(x95702,a898))),f317(f317(f242(f910(x95702,a898),f910(x95702,a898)),x95703),x95701)),f309(x95702,x95704)))
% 192.07/191.93 [10215]P12(x102151,x102152,x102153,x102154)+~P2(f317(f317(f247(x102151,x102151,a898),f317(f317(f9(x102151,f910(x102151,x102152),f910(x102151,a898)),f317(f317(f10(f910(x102152,a898),f910(f910(x102151,x102152),f910(x102151,a898)),x102151),f10(x102152,a898,x102151)),f317(f317(f10(x102152,f910(x102152,a898),x102151),a314),x102154))),x102154)),f592(x102154,x102153,x102152,x102151)))
% 192.07/191.93 [5037]~E(x50372,f103(x50371))+E(f317(f317(f149(x50371,x50372),x50373),x50374),f103(x50371))
% 192.07/191.93 [5038]~E(x50384,f103(x50381))+E(f317(f317(f144(x50381,x50382),x50383),x50384),f103(x50382))
% 192.07/191.93 [5272]E(x52721,f103(x52722))+~E(f317(f317(f144(x52722,x52723),x52724),x52721),f103(x52723))
% 192.07/191.93 [5273]E(x52731,f103(x52732))+~E(f317(f317(f149(x52732,x52731),x52733),x52734),f103(x52732))
% 192.07/191.93 [5310]E(x53101,x53102)+~E(f317(f317(f124(x53103),x53104),x53101),f317(f317(f124(x53103),x53104),x53102))
% 192.07/191.93 [5311]E(x53111,x53112)+~E(f317(f317(f124(x53113),x53111),x53114),f317(f317(f124(x53113),x53112),x53114))
% 192.07/191.93 [5462]P2(f317(x54623,x54622))+E(f160(x54621,x54622,f317(f126(x54621,x54623),x54624)),f317(f126(x54621,x54623),x54624))
% 192.07/191.93 [5464]~P2(f317(x54642,x54643))+P33(x54641,x54642,f317(f317(f141(x54641),x54643),x54644))
% 192.07/191.93 [5474]E(x54741,x54742)+~E(f129(a903,f317(f292(a903,x54741),x54743)),f317(f317(f141(a903),x54742),x54744))
% 192.07/191.93 [5523]~P27(x55232,x55233)+P27(x55231,f317(f317(f68(x55232,x55231),x55233),x55234))
% 192.07/191.93 [5524]~P37(x55242,x55243)+P37(x55241,f317(f317(f278(x55242,x55241),x55243),x55244))
% 192.07/191.93 [5525]~P38(x55252,x55253)+P38(x55251,f317(f317(f278(x55252,x55251),x55253),x55254))
% 192.07/191.93 [5526]~P51(x55262,x55263)+P51(x55261,f317(f317(f278(x55262,x55261),x55263),x55264))
% 192.07/191.93 [5656]~P33(x56561,x56562,x56564)+P33(x56561,x56562,f317(f317(f124(x56561),x56563),x56564))
% 192.07/191.93 [5657]~P33(x56571,x56572,x56573)+P33(x56571,x56572,f317(f317(f124(x56571),x56573),x56574))
% 192.07/191.93 [5658]~P33(x56581,x56582,x56584)+P33(x56581,x56582,f317(f317(f141(x56581),x56583),x56584))
% 192.07/191.93 [5745]~E(x57451,f103(x57452))+~E(f317(f317(f124(x57452),x57453),f317(f317(f141(x57452),x57454),f103(x57452))),x57451)
% 192.07/191.93 [5770]~P31(x57703,x57701,f317(f317(f141(x57703),x57702),x57704))+P2(f317(x57701,x57702))
% 192.07/191.93 [5780]E(f134(x57801,x57802),x57803)+~E(f317(f317(f124(x57801),x57804),f317(f317(f141(x57801),x57803),f103(x57801))),x57802)
% 192.07/191.93 [5781]E(f104(x57811,x57812),x57813)+~E(f317(f317(f124(x57811),x57813),f317(f317(f141(x57811),x57814),f103(x57811))),x57812)
% 192.07/191.93 [5891]~E(f129(a903,f317(f292(a903,x58911),x58912)),f317(f317(f141(a903),x58913),x58914))+P2(f317(f317(f227(a903),x58911),x58912))
% 192.07/191.93 [5909]P31(x59091,x59092,x59093)+~P31(x59091,x59092,f317(f317(f124(x59091),x59094),x59093))
% 192.07/191.93 [5910]P31(x59101,x59102,x59103)+~P31(x59101,x59102,f317(f317(f124(x59101),x59103),x59104))
% 192.07/191.93 [5911]P31(x59111,x59112,x59113)+~P31(x59111,x59112,f317(f317(f141(x59111),x59114),x59113))
% 192.07/191.93 [6110]E(x61101,f317(f317(f124(x61102),f317(f158(x61102),x61103)),f317(f317(f141(x61102),x61104),f103(x61102))))+~E(f317(f158(x61102),x61101),f317(f317(f141(x61102),x61104),x61103))
% 192.07/191.93 [6291]~P109(x62911)+E(f317(f317(f91(f910(x62911,a898)),f317(f292(x62911,x62912),x62913)),f317(f292(x62911,x62913),x62914)),f178(f910(x62911,a898)))
% 192.07/191.93 [6302]E(f317(f317(f154(x63021),f159(x63021,x63022,x63023)),x63024),x63023)+~P2(f317(f317(f227(a903),x63024),x63022))
% 192.07/191.93 [6329]~P75(x63291)+E(f317(f155(x63291),f317(f317(f144(a1,x63291),x63292),f168(x63293,x63294))),f317(f317(f8(a1,x63291),x63292),f317(f162(a1),f168(x63293,x63294))))
% 192.07/191.93 [6330]~P75(x63301)+E(f317(f317(f8(a1,x63301),x63302),f317(f162(a1),f168(x63303,x63304))),f317(f155(x63301),f317(f317(f144(a1,x63301),x63302),f168(x63303,x63304))))
% 192.07/191.93 [6479]~E(x64792,f317(f317(f124(x64791),f317(f158(x64791),x64794)),f317(f317(f141(x64791),x64793),f103(x64791))))+E(f317(f158(x64791),x64792),f317(f317(f141(x64791),x64793),x64794))
% 192.07/191.93 [6495]~P20(x64952,x64953,x64954,x64951)+E(f317(x64951,f178(f910(x64952,a898))),f25(x64953))
% 192.07/191.93 [6523]~P109(x65231)+E(f317(f317(f91(f910(x65231,a898)),f296(x65231,x65232,x65233)),f317(f292(x65231,x65233),x65234)),f178(f910(x65231,a898)))
% 192.07/191.93 [6742]E(x67421,f178(f910(x67422,a898)))+~E(f303(x67423,x67422,x67424,x67421),f178(f910(f908(x67423,x67422),a898)))
% 192.07/191.93 [6743]E(x67431,f178(f910(x67432,a898)))+~E(f303(x67432,x67433,x67431,x67434),f178(f910(f908(x67432,x67433),a898)))
% 192.07/191.93 [6813]~P108(x68132)+E(f317(f179(f904(x68131)),f140(x68131,x68132,x68133,x68134)),f317(f179(f904(x68131)),x68134))
% 192.07/191.93 [6824]~P2(f317(f240(x68243,x68244,x68241),x68242))+P2(f317(f317(x68241,f556(x68242,x68241)),x68242))
% 192.07/191.93 [6870]~P2(f317(f29(x68702),x68704))+P2(f317(f29(x68701),f317(f300(x68702,x68701,x68703),x68704)))
% 192.07/191.93 [7104]~P25(x71042,x71041,x71043,x71044)+E(f317(f30(x71041),f317(f300(x71042,x71041,x71043),x71044)),f317(f30(x71042),x71044))
% 192.07/191.93 [7122]E(f317(f300(x71221,x71222,x71223),f317(f301(x71221,x71222,x71223),x71224)),x71224)+~E(f317(f300(x71221,x71222,x71223),f232(f910(x71221,a898))),f232(f910(x71222,a898)))
% 192.07/191.93 [7538]~P25(x75381,x75382,x75383,f232(f910(x75381,a898)))+E(f317(f301(x75381,x75382,x75383),f317(f300(x75381,x75382,x75383),x75384)),x75384)
% 192.07/191.93 [7821]E(x78211,x78212)+~P2(f317(f317(f319(x78213),x78211),f317(f162(x78213),f159(x78213,x78214,x78212))))
% 192.07/191.93 [7830]~E(x78301,f2(a903))+~P2(f317(f317(f319(x78302),x78303),f317(f162(x78302),f159(x78302,x78301,x78304))))
% 192.07/191.93 [7863]P2(f317(x78631,x78632))+~P2(f317(f317(f319(x78633),x78632),f317(f162(x78633),f167(x78633,x78631,x78634))))
% 192.07/191.93 [7973]~P2(f317(f317(f319(f904(x79731)),f317(f317(f141(x79731),x79732),x79734)),f151(x79731,x79733)))+P2(f317(f317(f319(x79731),x79732),x79733))
% 192.07/191.93 [8101]~P2(f317(f317(f319(x81011),x81012),f317(f162(x81011),f166(x81011,x81013,x81014))))+P2(f317(f317(f319(x81011),x81012),f317(f162(x81011),x81013)))
% 192.07/191.93 [8102]~P2(f317(f317(f319(x81021),x81022),f317(f162(x81021),f160(x81021,x81024,x81023))))+P2(f317(f317(f319(x81021),x81022),f317(f162(x81021),x81023)))
% 192.07/191.93 [8103]~P2(f317(f317(f319(x81031),x81032),f317(f162(x81031),f167(x81031,x81034,x81033))))+P2(f317(f317(f319(x81031),x81032),f317(f162(x81031),x81033)))
% 192.07/191.93 [8113]E(f317(f179(f904(x81131)),x81132),x81133)+~P2(f317(f317(f319(f904(x81131)),x81132),f317(f162(f904(x81131)),f51(x81131,x81133,x81134))))
% 192.07/191.93 [8208]P2(f317(x82083,x82082))+E(f317(f126(x82081,f317(f317(f10(a898,a898,x82081),a312),f317(a314,x82082))),f317(f126(x82081,x82083),x82084)),f317(f126(x82081,x82083),x82084))
% 192.07/191.93 [8320]E(f317(f317(f154(x83201),f167(x83201,x83202,x83203)),x83204),f317(f317(f154(x83201),x83203),x83204))+~P2(f317(f317(f227(a903),x83204),f317(f179(f904(x83201)),f167(x83201,x83202,x83203))))
% 192.07/191.93 [8407]~P75(x84071)+E(f317(f317(f8(a903,x84071),f317(f317(f10(a903,x84071,a903),x84072),a102)),f317(f292(a903,x84073),x84074)),f317(f317(f8(a903,x84071),x84072),f317(f292(a903,f317(a102,x84073)),f317(a102,x84074))))
% 192.07/191.93 [8416]~P75(x84161)+E(f317(f317(f8(a903,x84161),f317(f317(f10(a903,x84161,a903),x84162),a102)),f293(a903,x84163,x84164)),f317(f317(f8(a903,x84161),x84162),f293(a903,f317(a102,x84163),f317(a102,x84164))))
% 192.07/191.93 [8546]~P25(x85461,x85463,x85464,f232(f910(x85461,a898)))+P25(x85461,f910(x85462,x85463),f317(f317(f10(x85463,f910(x85462,x85463),x85461),f18(x85463,x85462)),x85464),f232(f910(x85461,a898)))
% 192.07/191.93 [8631]~P25(x86312,x86311,x86314,x86313)+E(f317(f300(x86311,x86312,f71(x86312,x86311,x86313,x86314)),f317(f300(x86312,x86311,x86314),x86313)),x86313)
% 192.07/191.93 [8691]~P2(f317(f317(f319(f909(x86911,x86911)),f317(f317(f242(x86911,x86911),x86912),x86914)),f253(x86911,x86913)))+P2(f317(f317(f319(x86911),x86912),x86913))
% 192.07/191.93 [8814]~P25(x88142,x88141,x88143,f232(f910(x88142,a898)))+E(f317(f300(x88141,x88142,f85(x88142,x88141,f232(f910(x88142,a898)),x88143)),f317(f300(x88142,x88141,x88143),x88144)),x88144)
% 192.07/191.93 [8889]~P26(x88891,x88892,x88893,x88894,f232(f910(x88892,a898)))+E(f317(f300(x88891,x88892,x88893),f232(f910(x88891,a898))),f232(f910(x88892,a898)))
% 192.07/191.93 [8922]~E(f317(f317(f8(x89221,a903),x89224),x89223),f317(a102,x89222))+P2(f317(f317(f319(x89221),f424(x89222,x89223,x89224,x89221)),x89223))
% 192.07/191.93 [8943]~E(f317(f317(f8(x89434,a903),x89431),x89433),f317(a102,x89432))+P2(f317(f317(f227(a903),f2(a903)),f317(x89431,f424(x89432,x89433,x89431,x89434))))
% 192.07/191.93 [8954]~P2(f317(f29(x89542),x89544))+P2(f317(f317(f226(a903),f317(f30(x89541),f317(f300(x89542,x89541,x89543),x89544))),f317(f30(x89542),x89544)))
% 192.07/191.93 [8955]E(f317(f317(f242(x89551,x89552),f739(x89553,x89554,x89552,x89551)),f740(x89553,x89554,x89552,x89551)),x89554)+~P2(f317(f317(f319(f909(x89551,x89552)),x89554),f317(f276(x89552,x89551),x89553)))
% 192.07/191.93 [8963]P25(x89631,x89632,x89633,x89634)+P2(f317(f317(f319(x89631),f563(x89634,x89633,x89632,x89631)),x89634))
% 192.07/191.93 [8964]P25(x89641,x89642,x89643,x89644)+P2(f317(f317(f319(x89641),f587(x89644,x89643,x89642,x89641)),x89644))
% 192.07/191.93 [9032]P12(x90321,x90322,x90323,x90324)+P2(f317(f317(f319(f909(x90321,x90321)),f592(x90324,x90323,x90322,x90321)),x90323))
% 192.07/191.93 [9086]P2(f317(x90861,x90862))+~P2(f317(x90861,f317(f317(f242(x90863,x90864),f462(x90864,x90863,x90861)),f463(x90864,x90863,x90861))))
% 192.07/191.93 [9103]E(f317(f179(f904(x91031)),x91032),f317(f179(f904(x91031)),x91033))+~P2(f317(f317(f319(f909(f904(x91031),f904(x91031))),f317(f317(f242(f904(x91031),f904(x91031)),x91032),x91033)),f135(x91031,x91034)))
% 192.07/191.93 [9104]E(f317(f179(f904(x91041)),x91042),f317(f179(f904(x91041)),x91043))+~P2(f317(f317(f319(f909(f904(x91041),f904(x91041))),f317(f317(f242(f904(x91041),f904(x91041)),x91042),x91043)),f147(x91041,x91044)))
% 192.07/191.93 [9107]E(f317(f179(f904(x91071)),x91072),f317(f179(f904(x91071)),x91073))+~P2(f317(f317(f319(f909(f904(x91071),f904(x91071))),f317(f317(f242(f904(x91071),f904(x91071)),x91072),x91073)),f148(x91071,x91074)))
% 192.07/191.93 [9176]P2(f317(f317(f226(a903),f145(x91761,x91762,x91763)),f145(x91761,x91764,x91763)))+P2(f317(f317(f319(x91761),f608(x91764,x91762,x91763,x91761)),f317(f162(x91761),x91763)))
% 192.07/191.93 [9179]E(f317(f179(f904(x91791)),x91792),f317(f179(f904(x91791)),x91793))+~P2(f317(f317(f319(f909(f904(x91791),f904(x91791))),f317(f317(f242(f904(x91791),f904(x91791)),x91792),x91793)),f297(f904(x91791),f147(x91791,x91794))))
% 192.07/191.93 [9297]P2(f317(f317(f277(a903),x92971),x92972))+P2(f317(f317(f226(f910(a903,a898)),f280(a903,f277(a903),x92971,x92972)),f280(a903,f277(a903),x92973,x92974)))
% 192.07/191.93 [9420]~P25(x94201,x94202,x94203,x94204)+~P2(f317(f317(f227(a903),f317(f30(x94202),f317(f300(x94201,x94202,x94203),x94204))),f317(f30(x94201),x94204)))
% 192.07/191.93 [9467]~P2(f317(f317(f319(f909(f904(x94671),f904(x94671))),f317(f317(f242(f904(x94671),f904(x94671)),x94672),x94673)),f147(x94671,x94674)))+P2(f317(f317(f319(f909(f904(x94671),f904(x94671))),f317(f317(f242(f904(x94671),f904(x94671)),x94672),x94673)),f148(x94671,f297(x94671,x94674))))
% 192.07/191.93 [9471]~P2(f317(f317(f319(f909(f904(x94711),f904(x94711))),f317(f317(f242(f904(x94711),f904(x94711)),x94712),x94713)),f148(x94711,x94714)))+P2(f317(f317(f319(f909(f904(x94711),f904(x94711))),f317(f317(f242(f904(x94711),f904(x94711)),x94712),x94713)),f297(f904(x94711),f147(x94711,x94714))))
% 192.07/191.93 [9487]P2(f317(f317(f319(f909(x94871,x94871)),f317(f317(f242(x94871,x94871),x94872),x94873)),f297(x94871,x94874)))+~P2(f317(f317(f319(f909(x94871,x94871)),f317(f317(f242(x94871,x94871),x94872),x94873)),f317(f317(f279(x94871,x94871,x94871),x94874),f297(x94871,x94874))))
% 192.07/191.93 [9561]P2(f317(f317(f277(a903),x95611),x95612))+~P2(f317(f317(f227(f910(a903,a898)),f280(a903,f277(a903),x95613,x95614)),f280(a903,f277(a903),x95611,x95612)))
% 192.07/191.93 [9684]E(f317(f317(f124(x96841),f572(x96842,x96843,x96844,x96841)),f317(f317(f141(x96841),f568(x96842,x96843,x96844,x96841)),f574(x96842,x96843,x96844,x96841))),x96844)+~P2(f317(f317(f319(f909(f904(x96841),f904(x96841))),f317(f317(f242(f904(x96841),f904(x96841)),x96844),x96843)),f147(x96841,x96842)))
% 192.07/191.93 [9685]E(f317(f317(f124(x96851),f572(x96852,x96853,x96854,x96851)),f317(f317(f141(x96851),f573(x96852,x96853,x96854,x96851)),f574(x96852,x96853,x96854,x96851))),x96853)+~P2(f317(f317(f319(f909(f904(x96851),f904(x96851))),f317(f317(f242(f904(x96851),f904(x96851)),x96854),x96853)),f147(x96851,x96852)))
% 192.07/191.93 [9763]P2(f317(f317(f319(f909(x97631,x97631)),f317(f317(f242(x97631,x97631),x97632),f729(x97633,x97634,x97632,x97631))),f297(x97631,x97633)))+~P2(f317(f317(f319(f909(x97631,x97631)),f317(f317(f242(x97631,x97631),x97632),x97634)),f317(f317(f279(x97631,x97631,x97631),x97633),f297(x97631,x97633))))
% 192.07/191.93 [9831]P2(f317(f317(f226(a903),f145(x98311,x98312,x98313)),f145(x98311,x98314,x98313)))+~P2(f317(f317(f227(a903),f317(x98312,f608(x98314,x98312,x98313,x98311))),f317(x98314,f608(x98314,x98312,x98313,x98311))))
% 192.07/191.93 [9904]P2(f317(f317(f319(f909(x99041,x99041)),f317(f317(f242(x99041,x99041),f728(x99042,x99043,x99044,x99041)),x99043)),f297(x99041,x99042)))+~P2(f317(f317(f319(f909(x99041,x99041)),f317(f317(f242(x99041,x99041),x99044),x99043)),f317(f317(f279(x99041,x99041,x99041),x99042),f297(x99041,x99042))))
% 192.07/191.93 [5291]~E(x52912,x52913)+E(f160(x52911,x52912,f317(f317(f141(x52911),x52913),x52914)),x52914)
% 192.07/191.93 [5417]P2(f317(x54172,x54173))+E(f167(x54171,x54172,f317(f317(f141(x54171),x54173),x54174)),f103(x54171))
% 192.07/191.93 [5486]~P89(x54862)+E(f317(f317(f73(f910(x54861,x54862)),x54863),x54864),f317(f73(x54862),f317(x54863,x54864)))
% 192.07/191.93 [5499]~E(x54992,f2(a903))+E(f317(f317(f128(x54991),x54992),f317(f317(f141(x54991),x54993),x54994)),f317(f317(f141(x54991),x54993),x54994))
% 192.07/191.93 [5500]P2(f317(x55002,x55003))+E(f317(f126(x55001,x55002),f317(f317(f141(x55001),x55003),x55004)),f317(f126(x55001,x55002),x55004))
% 192.07/191.93 [5639]~E(x56392,x56394)+P2(f317(f317(f317(f299(x56391),x56392),x56393),x56394))
% 192.07/191.93 [5647]E(x56471,f103(x56472))+E(f134(x56473,f317(f317(f144(x56472,x56473),x56474),x56471)),f317(x56474,f134(x56472,x56471)))
% 192.07/191.93 [5661]~E(x56611,f58(x56612,x56614))+E(f317(x56611,f317(f317(f299(x56612),x56613),f178(f910(x56612,a898)))),x56613)
% 192.07/191.93 [5697]E(x56971,f103(x56972))+E(f317(f131(x56973),f317(f317(f144(x56972,x56973),x56974),x56971)),f317(x56974,f317(f131(x56972),x56971)))
% 192.07/191.93 [5800]~P2(f317(x58003,x58004))+P2(f317(f317(f317(f299(x58001),x58002),x58003),x58004))
% 192.07/191.93 [5928]~P19(x59282,x59284,x59281)+E(f317(x59281,f317(f317(f299(x59282),x59283),f178(f910(x59282,a898)))),x59283)
% 192.07/191.93 [5954]~E(x59542,x59543)+P2(f317(f317(f319(x59541),x59542),f317(f317(f299(x59541),x59543),x59544)))
% 192.07/191.93 [5959]~P118(x59591)+E(f317(f317(f75(x59591),x59592),f317(f317(f75(x59591),x59593),x59594)),f317(f317(f75(x59591),x59593),f317(f317(f75(x59591),x59592),x59594)))
% 192.07/191.93 [5960]~P118(x59601)+E(f317(f317(f74(x59601),x59602),f317(f317(f74(x59601),x59603),x59604)),f317(f317(f74(x59601),x59603),f317(f317(f74(x59601),x59602),x59604)))
% 192.07/191.93 [5962]~P101(x59621)+E(f317(f317(f100(x59621),x59622),f317(f317(f100(x59621),x59623),x59624)),f317(f317(f100(x59621),x59623),f317(f317(f100(x59621),x59622),x59624)))
% 192.07/191.93 [5963]~P102(x59631)+E(f317(f317(f100(x59631),x59632),f317(f317(f100(x59631),x59633),x59634)),f317(f317(f100(x59631),x59633),f317(f317(f100(x59631),x59632),x59634)))
% 192.07/191.93 [5964]~P102(x59641)+E(f317(f317(f91(x59641),x59642),f317(f317(f91(x59641),x59643),x59644)),f317(f317(f91(x59641),x59643),f317(f317(f91(x59641),x59642),x59644)))
% 192.07/191.93 [5966]~P104(x59661)+E(f317(f317(f91(x59661),x59662),f317(f317(f91(x59661),x59663),x59664)),f317(f317(f91(x59661),x59663),f317(f317(f91(x59661),x59662),x59664)))
% 192.07/191.93 [5968]~P108(x59681)+E(f317(f317(f224(x59681),x59682),f317(f317(f224(x59681),x59683),x59684)),f317(f317(f224(x59681),x59683),f317(f317(f224(x59681),x59682),x59684)))
% 192.07/191.93 [5970]~P108(x59701)+E(f317(f317(f225(x59701),x59702),f317(f317(f225(x59701),x59703),x59704)),f317(f317(f225(x59701),x59703),f317(f317(f225(x59701),x59702),x59704)))
% 192.07/191.93 [5977]E(x59771,x59772)+E(f160(x59773,x59771,f317(f317(f141(x59773),x59772),x59774)),f317(f317(f141(x59773),x59772),f160(x59773,x59771,x59774)))
% 192.07/191.93 [5992]~P2(f317(x59922,x59923))+E(f317(f126(x59921,x59922),f317(f317(f141(x59921),x59923),x59924)),f317(f317(f141(x59921),x59923),f317(f126(x59921,x59922),x59924)))
% 192.07/191.93 [6132]~P2(f317(x61322,x61323))+E(f167(x61321,x61322,f317(f317(f141(x61321),x61323),x61324)),f317(f317(f141(x61321),x61323),f167(x61321,x61322,x61324)))
% 192.07/191.93 [6196]E(x61961,f178(f910(x61962,a898)))+E(f317(f317(f35(x61962,f910(x61963,a898)),x61961),f317(f18(f910(x61963,a898),x61962),x61964)),x61964)
% 192.07/191.93 [6197]E(x61971,f178(f910(x61972,a898)))+E(f317(f317(f36(x61972,f910(x61973,a898)),x61971),f317(f18(f910(x61973,a898),x61972),x61974)),x61974)
% 192.07/191.93 [6206]~E(x62064,f178(f910(x62062,a898)))+E(f317(f317(f244(x62061,x62062),x62063),f317(f18(f910(x62062,a898),x62061),x62064)),f178(f910(f909(x62061,x62062),a898)))
% 192.07/191.93 [6207]~E(x62073,f178(f910(x62071,a898)))+E(f317(f317(f244(x62071,x62072),x62073),f317(f18(f910(x62072,a898),x62071),x62074)),f178(f910(f909(x62071,x62072),a898)))
% 192.07/191.93 [6263]E(x62631,f2(a903))+E(f317(f317(f128(x62632),x62631),f317(f317(f141(x62632),x62633),x62634)),f317(f317(f128(x62632),f317(f317(f3(a903),x62631),f72(a903))),x62634))
% 192.07/191.93 [6284]E(x62841,f178(f910(x62842,a898)))+E(f317(f300(x62842,x62843,f317(f18(x62843,x62842),x62844)),x62841),f317(f317(f299(x62843),x62844),f178(f910(x62843,a898))))
% 192.07/191.93 [6287]E(f317(f301(x62871,x62872,f317(f18(x62872,x62871),x62873)),x62874),f178(f910(x62871,a898)))+P2(f317(f317(f319(x62872),x62873),x62874))
% 192.07/191.93 [6355]~E(x63553,f178(f910(x63551,a898)))+E(f317(f317(f35(x63551,f910(x63552,a898)),x63553),f317(f18(f910(x63552,a898),x63551),x63554)),f232(f910(x63552,a898)))
% 192.07/191.93 [6356]~E(x63563,f178(f910(x63561,a898)))+E(f317(f317(f36(x63561,f910(x63562,a898)),x63563),f317(f18(f910(x63562,a898),x63561),x63564)),f178(f910(x63562,a898)))
% 192.07/191.93 [6358]~P4(x63581)+E(f41(x63581,f317(f317(f75(x63581),x63582),x63583),f317(f317(f75(x63581),x63582),x63584)),f317(f317(f75(x63581),x63582),f41(x63581,x63583,x63584)))
% 192.07/191.93 [6533]E(f317(f301(x65331,x65332,f317(f18(x65332,x65331),x65333)),x65334),f232(f910(x65331,a898)))+~P2(f317(f317(f319(x65332),x65333),x65334))
% 192.07/191.93 [6556]~P2(f317(f317(f319(x65561),x65562),x65564))+P2(f317(f317(f319(x65561),x65562),f317(f317(f299(x65561),x65563),x65564)))
% 192.07/191.93 [6561]P2(f317(x65611,x65612))+~P2(f317(f150(x65613,x65611),f317(f317(f141(x65613),x65612),x65614)))
% 192.07/191.93 [6570]~E(x65703,f317(f317(f3(a903),f317(f179(f904(x65701)),x65702)),f72(a903)))+E(f104(x65701,f317(f317(f149(x65701,x65702),x65703),x65704)),f104(x65701,x65702))
% 192.07/191.93 [6593]~P108(x65931)+E(f317(f317(f91(f910(x65931,a898)),f317(f291(x65931),x65932)),f293(x65931,x65933,x65934)),f293(x65931,x65933,f317(f317(f224(x65931),x65932),x65934)))
% 192.07/191.93 [6594]~P108(x65941)+E(f317(f317(f91(f910(x65941,a898)),f317(f273(x65941),x65942)),f293(x65941,x65943,x65944)),f293(x65941,f317(f317(f225(x65941),x65942),x65943),x65944))
% 192.07/191.93 [6610]E(f317(f317(f91(f910(x66101,a898)),x66102),f317(f317(f299(x66101),x66103),x66104)),f317(f317(f91(f910(x66101,a898)),x66102),x66104))+P2(f317(f317(f319(x66101),x66103),x66102))
% 192.07/191.93 [6622]E(f160(x66221,x66222,f317(f317(f124(x66221),x66223),x66224)),f317(f317(f124(x66221),x66223),f160(x66221,x66222,x66224)))+P2(f317(f317(f319(x66221),x66222),f317(f162(x66221),x66223)))
% 192.07/191.93 [6627]~P81(x66271)+E(f317(f317(f75(x66271),f317(f317(f234(x66271),x66272),x66273)),f317(f317(f234(x66271),x66272),x66274)),f317(f317(f234(x66271),x66272),f317(f317(f74(a903),x66273),x66274)))
% 192.07/191.93 [6628]~P118(x66281)+E(f317(f317(f75(x66281),f317(f317(f234(x66281),x66282),x66283)),f317(f317(f234(x66281),x66282),x66284)),f317(f317(f234(x66281),x66282),f317(f317(f74(a903),x66283),x66284)))
% 192.07/191.93 [6665]~P118(x66651)+E(f317(f317(f74(x66651),f317(f317(f75(x66651),x66652),x66653)),f317(f317(f75(x66651),x66652),x66654)),f317(f317(f75(x66651),x66652),f317(f317(f74(x66651),x66653),x66654)))
% 192.07/191.93 [6666]~P103(x66661)+E(f317(f317(f91(x66661),f317(f317(f100(x66661),x66662),x66663)),f317(f317(f100(x66661),x66662),x66664)),f317(f317(f100(x66661),x66662),f317(f317(f91(x66661),x66663),x66664)))
% 192.07/191.93 [6667]~P103(x66671)+E(f317(f317(f100(x66671),f317(f317(f91(x66671),x66672),x66673)),f317(f317(f91(x66671),x66672),x66674)),f317(f317(f91(x66671),x66672),f317(f317(f100(x66671),x66673),x66674)))
% 192.07/191.93 [6668]~P108(x66681)+E(f317(f317(f225(x66681),f317(f317(f224(x66681),x66682),x66683)),f317(f317(f224(x66681),x66682),x66684)),f317(f317(f224(x66681),x66682),f317(f317(f225(x66681),x66683),x66684)))
% 192.07/191.93 [6669]~P108(x66691)+E(f317(f317(f224(x66691),f317(f317(f225(x66691),x66692),x66693)),f317(f317(f225(x66691),x66692),x66694)),f317(f317(f225(x66691),x66692),f317(f317(f224(x66691),x66693),x66694)))
% 192.07/191.93 [6703]~P4(x67031)+E(f41(x67031,f317(f317(f75(x67031),x67032),x67033),f317(f317(f75(x67031),x67034),x67033)),f317(f317(f75(x67031),f41(x67031,x67032,x67034)),x67033))
% 192.07/191.93 [6706]~E(f317(f179(f904(x67061)),x67063),f317(f179(f904(x67062)),x67064))+E(f317(f317(f144(f909(x67061,x67062),x67062),f246(x67061,x67062)),f317(f317(f171(x67061,x67062),x67063),x67064)),x67064)
% 192.07/191.93 [6707]~E(f317(f179(f904(x67071)),x67073),f317(f179(f904(x67072)),x67074))+E(f317(f317(f144(f909(x67071,x67072),x67071),f241(x67071,x67072)),f317(f317(f171(x67071,x67072),x67073),x67074)),x67073)
% 192.07/191.93 [6712]P2(f317(f150(x67121,x67122),x67123))+~P2(f317(f150(x67121,x67122),f317(f317(f124(x67121),x67124),x67123)))
% 192.07/191.93 [6713]P2(f317(f150(x67131,x67132),x67133))+~P2(f317(f150(x67131,x67132),f317(f317(f124(x67131),x67133),x67134)))
% 192.07/191.93 [6714]P2(f317(f150(x67141,x67142),x67143))+~P2(f317(f150(x67141,x67142),f317(f317(f141(x67141),x67144),x67143)))
% 192.07/191.93 [6719]~P5(x67191)+E(f41(x67191,f317(f317(f3(x67191),x67192),f41(x67191,x67193,x67194)),x67194),f41(x67191,f317(f317(f3(x67191),x67192),x67193),x67194))
% 192.07/191.93 [6720]~P4(x67201)+E(f41(x67201,f317(f317(f75(x67201),x67202),f41(x67201,x67203,x67204)),x67204),f41(x67201,f317(f317(f75(x67201),x67202),x67203),x67204))
% 192.07/191.93 [6722]~P4(x67221)+E(f41(x67221,f317(f317(f74(x67221),x67222),f41(x67221,x67223,x67224)),x67224),f41(x67221,f317(f317(f74(x67221),x67222),x67223),x67224))
% 192.07/191.93 [6805]~P108(x68051)+E(f317(f317(f91(f910(x68051,a898)),f293(x68051,x68052,x68053)),f317(f291(x68051),x68054)),f293(x68051,x68052,f317(f317(f224(x68051),x68053),x68054)))
% 192.07/191.93 [6806]~P108(x68061)+E(f317(f317(f91(f910(x68061,a898)),f293(x68061,x68062,x68063)),f317(f273(x68061),x68064)),f293(x68061,f317(f317(f225(x68061),x68062),x68064),x68063))
% 192.07/191.93 [6809]~E(f317(f179(f904(x68091)),x68093),f317(f179(f904(x68092)),x68094))+E(f317(f317(f171(x68091,x68092),f317(f158(x68091),x68093)),f317(f158(x68092),x68094)),f317(f158(f909(x68091,x68092)),f317(f317(f171(x68091,x68092),x68093),x68094)))
% 192.07/191.93 [6821]E(x68211,f317(f317(f3(a903),f317(f179(f904(x68212)),x68213)),f72(a903)))+E(f104(x68212,f317(f317(f149(x68212,x68213),x68211),x68214)),f317(f317(f149(x68212,f104(x68212,x68213)),x68211),x68214))
% 192.07/191.93 [6836]~P2(f317(f127(x68362),x68364))+P2(f317(f127(f909(x68361,x68362)),f317(f317(f171(x68361,x68362),x68363),x68364)))
% 192.07/191.93 [6837]~P2(f317(f127(x68371),x68373))+P2(f317(f127(f909(x68371,x68372)),f317(f317(f171(x68371,x68372),x68373),x68374)))
% 192.07/191.93 [7107]E(f317(f317(f31(a903),x71071),x71072),x71073)+~P2(f317(f44(x71071,x71072),f317(f317(f242(a903,a903),x71073),x71074)))
% 192.07/191.93 [7131]E(f41(a903,x71311,x71312),x71313)+~P2(f317(f44(x71311,x71312),f317(f317(f242(a903,a903),x71314),x71313)))
% 192.07/191.93 [7134]P2(f317(f127(x71341),x71342))+~P2(f317(f127(x71343),f317(f317(f144(x71341,x71343),x71344),x71342)))
% 192.07/191.93 [7217]E(f160(x72171,x72172,f317(f317(f124(x72171),x72173),x72174)),f317(f317(f124(x72171),f160(x72171,x72172,x72173)),x72174))+~P2(f317(f317(f319(x72171),x72172),f317(f162(x72171),x72173)))
% 192.07/191.93 [7310]~P5(x73101)+E(f41(x73101,f317(f317(f3(x73101),f41(x73101,x73102,x73103)),x73104),x73103),f41(x73101,f317(f317(f3(x73101),x73102),x73104),x73103))
% 192.07/191.93 [7313]~P4(x73131)+E(f41(x73131,f317(f317(f75(x73131),f41(x73131,x73132,x73133)),x73134),x73133),f41(x73131,f317(f317(f75(x73131),x73132),x73134),x73133))
% 192.07/191.93 [7314]~P4(x73141)+E(f41(x73141,f317(f317(f74(x73141),f41(x73141,x73142,x73143)),x73144),x73143),f41(x73141,f317(f317(f74(x73141),x73142),x73144),x73143))
% 192.07/191.93 [7508]~E(x75081,f317(f317(f141(x75082),x75083),x75084))+~P2(f317(f317(f226(a903),f317(f179(f904(x75082)),x75081)),f317(f179(f904(x75082)),x75084)))
% 192.07/191.93 [7711]P25(x77111,x77112,x77113,f317(f162(x77111),x77114))+~P2(f317(f127(x77112),f317(f317(f144(x77111,x77112),x77113),x77114)))
% 192.07/191.93 [7786]~P2(f317(f317(f226(f910(x77861,a898)),x77862),x77864))+P2(f317(f317(f226(f910(x77861,a898)),x77862),f317(f317(f299(x77861),x77863),x77864)))
% 192.07/191.93 [7822]~P5(x78221)+E(f41(x78221,f317(f317(f3(x78221),f41(x78221,x78222,x78223)),f41(x78221,x78224,x78223)),x78223),f41(x78221,f317(f317(f3(x78221),x78222),x78224),x78223))
% 192.07/191.93 [7823]~P4(x78231)+E(f41(x78231,f317(f317(f75(x78231),f41(x78231,x78232,x78233)),f41(x78231,x78234,x78233)),x78233),f41(x78231,f317(f317(f75(x78231),x78232),x78234),x78233))
% 192.07/191.93 [7824]~P4(x78241)+E(f41(x78241,f317(f317(f74(x78241),f41(x78241,x78242,x78243)),f41(x78241,x78244,x78243)),x78243),f41(x78241,f317(f317(f74(x78241),x78242),x78244),x78243))
% 192.07/191.93 [7928]~E(f317(x79284,f468(x79284,x79283,x79281,x79282)),f178(f910(x79282,a898)))+E(f317(f317(f36(x79281,f910(x79282,a898)),x79283),x79284),f178(f910(x79282,a898)))
% 192.07/191.93 [7929]~E(f317(x79294,f469(x79294,x79293,x79291,x79292)),f232(f910(x79292,a898)))+E(f317(f317(f35(x79291,f910(x79292,a898)),x79293),x79294),f232(f910(x79292,a898)))
% 192.07/191.93 [7930]~E(f317(x79304,f470(x79304,x79303,x79302,x79301)),f232(f910(x79302,a898)))+E(f317(f317(f35(x79301,f910(x79302,a898)),x79303),x79304),f232(f910(x79302,a898)))
% 192.07/191.93 [7931]~E(f317(x79314,f486(x79314,x79313,x79312,x79311)),f178(f910(x79312,a898)))+E(f317(f317(f36(x79311,f910(x79312,a898)),x79313),x79314),f178(f910(x79312,a898)))
% 192.07/191.93 [8321]P2(f317(x83211,x83212))+~P2(f317(f317(f319(x83213),x83212),f317(f317(f91(f910(x83213,a898)),x83214),f317(f252(x83213),x83211))))
% 192.07/191.93 [8358]~P2(f317(f317(f226(f910(x83581,a898)),x83583),x83584))+P2(f317(f317(f226(f910(x83581,a898)),f317(f317(f299(x83581),x83582),x83583)),f317(f317(f299(x83581),x83582),x83584)))
% 192.07/191.93 [8539]P2(f317(x85392,x85393))+E(f317(f317(f128(x85391),f317(f179(f904(x85391)),f167(x85391,x85392,f317(f317(f141(x85391),x85393),x85394)))),f317(f317(f141(x85391),x85393),x85394)),f317(f317(f141(x85391),x85393),x85394))
% 192.07/191.93 [8645]~P2(f317(f317(f227(a903),f317(x86454,x86452)),f317(x86454,x86453)))+P2(f317(f317(f319(f909(x86451,x86451)),f317(f317(f242(x86451,x86451),x86452),x86453)),f317(f317(f278(a903,x86451),a230),x86454)))
% 192.07/191.93 [8741]~P2(f317(x87412,f676(x87414,x87412,x87413,x87411)))+E(f167(x87411,x87412,f317(f317(f124(x87411),x87413),x87414)),f317(f317(f124(x87411),x87413),f167(x87411,x87412,x87414)))
% 192.07/191.93 [8818]P25(f904(x88181),f904(x88182),f317(f144(x88181,x88182),x88183),x88184)+~P25(x88181,x88182,x88183,f32(f910(x88181,a898),f317(f300(f904(x88181),f910(x88181,a898),f162(x88181)),x88184)))
% 192.07/191.93 [8893]~P2(f317(x88932,x88933))+E(f317(f317(f128(x88931),f317(f179(f904(x88931)),f167(x88931,x88932,f317(f317(f141(x88931),x88933),x88934)))),f317(f317(f141(x88931),x88933),x88934)),f317(f317(f128(x88931),f317(f179(f904(x88931)),f167(x88931,x88932,x88934))),x88934))
% 192.07/191.93 [8934]~E(x89342,x89343)+E(f317(f126(x89341,f317(f317(f10(a898,a898,x89341),a312),f317(a314,x89342))),f317(f317(f141(x89341),x89343),x89344)),f317(f126(x89341,f317(f317(f10(a898,a898,x89341),a312),f317(a314,x89342))),x89344))
% 192.07/191.93 [8944]E(f317(f317(f36(x89441,f910(x89442,a898)),x89443),x89444),f178(f910(x89442,a898)))+P2(f317(f317(f319(x89441),f468(x89444,x89443,x89441,x89442)),x89443))
% 192.07/191.93 [8945]E(f317(f317(f35(x89451,f910(x89452,a898)),x89453),x89454),f232(f910(x89452,a898)))+P2(f317(f317(f319(x89451),f469(x89454,x89453,x89451,x89452)),x89453))
% 192.07/191.93 [8946]E(f317(f317(f35(x89461,f910(x89462,a898)),x89463),x89464),f232(f910(x89462,a898)))+P2(f317(f317(f319(x89461),f470(x89464,x89463,x89462,x89461)),x89463))
% 192.07/191.93 [8947]E(f317(f317(f36(x89471,f910(x89472,a898)),x89473),x89474),f178(f910(x89472,a898)))+P2(f317(f317(f319(x89471),f486(x89474,x89473,x89472,x89471)),x89473))
% 192.07/191.93 [8985]P2(f317(f317(f227(a903),f317(x89851,x89852)),f317(x89851,x89853)))+~P2(f317(f317(f319(f909(x89854,x89854)),f317(f317(f242(x89854,x89854),x89852),x89853)),f317(f317(f278(a903,x89854),a230),x89851)))
% 192.07/191.93 [9011]E(f167(x90111,x90112,f317(f317(f124(x90111),x90113),x90114)),f317(f317(f124(x90111),x90113),f167(x90111,x90112,x90114)))+P2(f317(f317(f319(x90111),f676(x90114,x90112,x90113,x90111)),f317(f162(x90111),x90113)))
% 192.07/191.93 [9062]~P26(x90621,x90622,x90623,f232(f910(x90621,a898)),f232(f910(x90622,a898)))+E(f317(f300(x90621,x90622,x90623),f317(f73(f910(x90621,a898)),x90624)),f317(f73(f910(x90622,a898)),f317(f300(x90621,x90622,x90623),x90624)))
% 192.07/191.93 [9165]P2(f317(f317(f319(x91651),f515(x91652,x91653,x91654,x91651)),x91653))+~P2(f317(f317(f319(f910(x91651,a898)),x91654),f317(f317(f56(x91651),x91653),x91652)))
% 192.07/191.93 [9168]E(x91681,x91682)+~P2(f317(f317(f319(f909(x91683,x91683)),f317(f317(f242(x91683,x91683),x91681),x91682)),f317(f317(f173(f909(x91683,x91683),a898),f2(a903)),x91684)))
% 192.07/191.93 [9249]E(f317(f275(x92491,x92491,x92492),f317(f317(f299(x92491),f515(x92492,x92493,x92494,x92491)),f178(f910(x92491,a898)))),x92494)+~P2(f317(f317(f319(f910(x92491,a898)),x92494),f317(f317(f56(x92491),x92493),x92492)))
% 192.07/191.93 [9254]~P2(f317(f317(f319(f909(x92541,x92541)),f317(f317(f242(x92541,x92541),x92543),x92542)),f297(x92541,x92544)))+P2(f317(f317(f319(f909(x92541,x92541)),f317(f317(f242(x92541,x92541),x92542),x92543)),f297(x92541,f317(f276(x92541,x92541),x92544))))
% 192.07/191.93 [9267]~P4(x92671)+E(f317(f317(f74(x92671),f317(f317(f74(x92671),f317(f317(f75(x92671),x92672),f317(f317(f31(x92671),x92673),x92672))),f41(x92671,x92673,x92672))),x92674),f317(f317(f74(x92671),x92673),x92674))
% 192.07/191.93 [9278]~P2(f317(f317(f319(x92781),x92783),x92784))+P2(f317(f317(f319(f910(x92781,a898)),f317(f275(x92781,x92781,x92782),f317(f317(f299(x92781),x92783),f178(f910(x92781,a898))))),f317(f317(f56(x92781),x92784),x92782)))
% 192.07/191.93 [9290]P2(f317(f317(f319(f909(x92901,x92901)),f317(f317(f242(x92901,x92901),x92902),x92903)),f297(x92901,x92904)))+~P2(f317(f317(f319(f909(x92901,x92901)),f317(f317(f242(x92901,x92901),x92903),x92902)),f297(x92901,f317(f276(x92901,x92901),x92904))))
% 192.07/191.93 [9378]E(f317(f317(f149(x93781,f317(f158(x93781),x93782)),f317(f317(f3(a903),f317(f317(f3(a903),f317(f179(f904(x93781)),x93782)),x93783)),f72(a903))),x93784),f317(f158(x93781),f317(f317(f149(x93781,x93782),x93783),x93784)))+~P2(f317(f317(f227(a903),x93783),f317(f179(f904(x93781)),x93782)))
% 192.07/191.93 [9381]~P2(f317(x93812,f670(x93814,x93812,x93813,x93811)))+E(f317(f317(f128(x93811),f317(f179(f904(x93811)),f167(x93811,x93812,f317(f317(f124(x93811),x93813),x93814)))),f317(f317(f124(x93811),x93813),x93814)),f317(f317(f128(x93811),f317(f179(f904(x93811)),f167(x93811,x93812,x93814))),x93814))
% 192.07/191.93 [9428]~P25(x94282,x94281,x94283,f232(f910(x94282,a898)))+P2(f317(f317(f226(f910(x94281,a898)),f317(f300(x94282,x94281,x94283),f317(f73(f910(x94282,a898)),x94284))),f317(f73(f910(x94281,a898)),f317(f300(x94282,x94281,x94283),x94284))))
% 192.07/191.93 [9440]~P6(x94401)+E(f317(f132(x94401,x94402,f317(f9(x94402,x94401,x94401),f317(f317(f10(x94401,f910(x94401,x94401),x94402),f91(x94401)),x94403)),f232(x94401)),x94404),f317(f317(f35(x94402,x94401),f317(f162(x94402),x94404)),x94403))
% 192.07/191.93 [9441]~P6(x94411)+E(f317(f132(x94411,x94412,f317(f9(x94412,x94411,x94411),f317(f317(f10(x94411,f910(x94411,x94411),x94412),f100(x94411)),x94413)),f178(x94411)),x94414),f317(f317(f36(x94412,x94411),f317(f162(x94412),x94414)),x94413))
% 192.07/191.93 [9451]E(f317(f317(f128(x94511),f317(f179(f904(x94511)),f167(x94511,x94512,f317(f317(f124(x94511),x94513),x94514)))),f317(f317(f124(x94511),x94513),x94514)),f317(f317(f128(x94511),f317(f179(f904(x94511)),f167(x94511,x94512,x94514))),x94514))+P2(f317(f317(f319(x94511),f670(x94514,x94512,x94513,x94511)),f317(f162(x94511),x94513)))
% 192.07/191.93 [9521]~P2(f317(f317(f319(f909(f904(x95214),f904(x95214))),f317(f317(f242(f904(x95214),f904(x95214)),x95213),x95212)),f147(x95214,x95211)))+P2(f317(f317(f227(a903),f588(x95211,x95212,x95213,x95214)),f317(f179(f904(x95214)),x95213)))
% 192.07/191.93 [9522]~P4(x95221)+E(f317(f317(f74(x95221),f317(f317(f74(x95221),f317(f317(f75(x95221),f317(f317(f31(x95221),x95222),x95223)),x95223)),f41(x95221,x95222,x95223))),x95224),f317(f317(f74(x95221),x95222),x95224))
% 192.07/191.93 [9551]~P2(f317(f317(f319(f909(f904(x95511),f904(x95511))),f317(f317(f242(f904(x95511),f904(x95511)),x95512),x95513)),f317(f276(f904(x95511),f904(x95511)),f147(x95511,x95514))))+P2(f317(f317(f319(f909(f904(x95511),f904(x95511))),f317(f317(f242(f904(x95511),f904(x95511)),x95512),x95513)),f147(x95511,f317(f276(x95511,x95511),x95514))))
% 192.07/191.93 [9552]P2(f317(f317(f319(f909(f904(x95521),f904(x95521))),f317(f317(f242(f904(x95521),f904(x95521)),x95522),x95523)),f317(f276(f904(x95521),f904(x95521)),f147(x95521,x95524))))+~P2(f317(f317(f319(f909(f904(x95521),f904(x95521))),f317(f317(f242(f904(x95521),f904(x95521)),x95522),x95523)),f147(x95521,f317(f276(x95521,x95521),x95524))))
% 192.07/191.93 [9596]~P2(f317(f317(f319(x95961),x95963),f317(f254(x95961,x95962),x95964)))+P2(f317(f317(f319(f909(x95961,x95962)),f317(f317(f242(x95961,x95962),x95963),f616(x95964,x95962,x95963,x95961))),x95964))
% 192.07/191.93 [9597]~P2(f317(f317(f319(x95971),x95973),f317(f254(x95971,x95972),x95974)))+P2(f317(f317(f319(f909(x95971,x95972)),f317(f317(f242(x95971,x95972),x95973),f620(x95974,x95972,x95973,x95971))),x95974))
% 192.07/191.93 [9758]~P2(f317(f317(f319(f909(x97581,x97581)),f317(f317(f242(x97581,x97581),x97582),x97584)),f317(f317(f279(x97581,x97581,x97581),x97583),f297(x97581,x97583))))+P2(f317(f317(f319(f909(x97581,x97581)),f317(f317(f242(x97581,x97581),x97582),f728(x97583,x97584,x97582,x97581))),x97583))
% 192.07/191.93 [9918]P12(x99181,x99182,x99183,x99184)+P2(f317(f317(f319(f909(x99181,x99181)),f317(f317(f242(x99181,x99181),f839(x99182,x99184,x99183,x99181)),f838(x99182,x99184,x99183,x99181))),x99183))
% 192.07/191.93 [9925]~P2(f317(f317(f319(f909(x99252,x99251)),x99254),f317(f276(x99251,x99252),x99253)))+P2(f317(f317(f319(f909(x99251,x99252)),f317(f317(f242(x99251,x99252),f740(x99253,x99254,x99251,x99252)),f739(x99253,x99254,x99251,x99252))),x99253))
% 192.07/191.93 [9949]~P2(f317(f317(f319(f909(f904(x99491),f904(x99491))),f317(f317(f242(f904(x99491),f904(x99491)),x99494),x99493)),f147(x99491,x99492)))+P2(f317(f317(f319(f909(x99491,x99491)),f317(f317(f242(x99491,x99491),f568(x99492,x99493,x99494,x99491)),f573(x99492,x99493,x99494,x99491))),x99492))
% 192.07/191.93 [10039]~P2(f317(f317(f319(f909(f904(x100391),f904(x100391))),f317(f317(f242(f904(x100391),f904(x100391)),x100392),x100394)),f147(x100391,x100393)))+P2(f317(f317(f319(f909(x100391,x100391)),f317(f317(f242(x100391,x100391),f317(f317(f154(x100391),x100392),f588(x100393,x100394,x100392,x100391))),f589(x100393,x100394,x100392,x100391))),x100393))
% 192.07/191.93 [10059]~P2(f317(f29(x100592),x100594))+E(f317(f317(f317(f60(f910(x100591,a898),x100592,f100(f910(x100591,a898))),f317(f317(f9(x100592,f910(x100591,a898),f910(x100591,a898)),f317(f317(f10(x100591,f910(f910(x100591,a898),f910(x100591,a898)),x100592),f299(x100591)),x100593)),f178(f910(x100591,a898)))),f178(f910(x100591,a898))),x100594),f317(f300(x100592,x100591,x100593),x100594))
% 192.07/191.93 [10170]~P25(x101701,x101702,x101703,f232(f910(x101701,a898)))+P2(f317(f317(f226(f910(x101701,a898)),f317(f301(x101701,x101702,x101703),f317(f317(f299(x101702),x101704),f178(f910(x101702,a898))))),f317(f317(f299(x101701),f79(x101701,f317(f317(f9(x101701,x101702,a898),f317(f317(f10(x101702,f910(x101702,a898),x101701),a314),x101703)),x101704))),f178(f910(x101701,a898)))))
% 192.07/191.93 [5708]~E(f317(f317(f124(x57081),x57082),x57084),x57083)+E(f317(f317(f165(x57081),f317(f179(f904(x57081)),x57082)),x57083),x57082)
% 192.07/191.93 [5709]~E(f317(f317(f124(x57092),x57093),x57091),x57094)+E(x57091,f317(f317(f128(x57092),f317(f179(f904(x57092)),x57093)),x57094))
% 192.07/191.93 [5720]~E(x57204,f2(a903))+E(f317(f317(f154(x57201),f317(f317(f141(x57201),x57202),x57203)),x57204),x57202)
% 192.07/191.93 [6276]~P118(x62761)+E(f317(f317(f234(x62761),f317(f317(f234(x62761),x62762),x62763)),x62764),f317(f317(f234(x62761),x62762),f317(f317(f75(a903),x62763),x62764)))
% 192.07/191.93 [6277]~P81(x62771)+E(f317(f317(f234(x62771),f317(f317(f234(x62771),x62772),x62773)),x62774),f317(f317(f234(x62771),x62772),f317(f317(f75(a903),x62773),x62774)))
% 192.07/191.93 [6285]E(x62851,f2(a903))+E(f317(f317(f154(x62852),f317(f317(f141(x62852),x62853),x62854)),x62851),f317(f317(f154(x62852),x62854),f317(f317(f3(a903),x62851),f72(a903))))
% 192.07/191.93 [6312]~P122(x63121)+E(f317(f317(f281(x63121),f317(f317(f75(x63121),x63122),x63123)),x63124),f317(f317(f75(x63121),x63122),f317(f317(f281(x63121),x63123),x63124)))
% 192.07/191.93 [6314]~P69(x63141)+E(f317(f317(f75(x63141),f317(f317(f75(x63141),x63142),x63143)),x63144),f317(f317(f75(x63141),x63142),f317(f317(f75(x63141),x63143),x63144)))
% 192.07/191.93 [6315]~P118(x63151)+E(f317(f317(f75(x63151),f317(f317(f75(x63151),x63152),x63153)),x63154),f317(f317(f75(x63151),x63152),f317(f317(f75(x63151),x63153),x63154)))
% 192.07/191.93 [6317]~P70(x63171)+E(f317(f317(f74(x63171),f317(f317(f74(x63171),x63172),x63173)),x63174),f317(f317(f74(x63171),x63172),f317(f317(f74(x63171),x63173),x63174)))
% 192.07/191.93 [6318]~P118(x63181)+E(f317(f317(f74(x63181),f317(f317(f74(x63181),x63182),x63183)),x63184),f317(f317(f74(x63181),x63182),f317(f317(f74(x63181),x63183),x63184)))
% 192.07/191.93 [6320]~P101(x63201)+E(f317(f317(f100(x63201),f317(f317(f100(x63201),x63202),x63203)),x63204),f317(f317(f100(x63201),x63202),f317(f317(f100(x63201),x63203),x63204)))
% 192.07/191.93 [6321]~P102(x63211)+E(f317(f317(f100(x63211),f317(f317(f100(x63211),x63212),x63213)),x63214),f317(f317(f100(x63211),x63212),f317(f317(f100(x63211),x63213),x63214)))
% 192.07/191.93 [6322]~P102(x63221)+E(f317(f317(f91(x63221),f317(f317(f91(x63221),x63222),x63223)),x63224),f317(f317(f91(x63221),x63222),f317(f317(f91(x63221),x63223),x63224)))
% 192.07/191.93 [6324]~P104(x63241)+E(f317(f317(f91(x63241),f317(f317(f91(x63241),x63242),x63243)),x63244),f317(f317(f91(x63241),x63242),f317(f317(f91(x63241),x63243),x63244)))
% 192.07/191.93 [6326]~P108(x63261)+E(f317(f317(f224(x63261),f317(f317(f224(x63261),x63262),x63263)),x63264),f317(f317(f224(x63261),x63262),f317(f317(f224(x63261),x63263),x63264)))
% 192.07/191.93 [6328]~P108(x63281)+E(f317(f317(f225(x63281),f317(f317(f225(x63281),x63282),x63283)),x63284),f317(f317(f225(x63281),x63282),f317(f317(f225(x63281),x63283),x63284)))
% 192.07/191.93 [6337]~P4(x63371)+E(f41(x63371,f317(f317(f74(x63371),x63372),f317(f317(f75(x63371),x63373),x63374)),x63374),f41(x63371,x63372,x63374))
% 192.07/191.93 [6338]~P4(x63381)+E(f41(x63381,f317(f317(f74(x63381),x63382),f317(f317(f75(x63381),x63383),x63384)),x63383),f41(x63381,x63382,x63383))
% 192.07/191.93 [6480]E(f317(f317(f154(x64801),f317(f317(f165(x64801),x64802),x64803)),x64804),f317(f317(f154(x64801),x64803),x64804))+~P2(f317(f317(f227(a903),x64804),x64802))
% 192.07/191.93 [6661]~E(x66612,x66614)+P2(f317(f317(f162(x66611),f317(f317(f141(x66611),x66612),x66613)),x66614))
% 192.07/191.93 [6663]~P118(x66631)+E(f317(f317(f75(x66631),f317(f317(f75(x66631),x66632),x66633)),x66634),f317(f317(f75(x66631),f317(f317(f75(x66631),x66632),x66634)),x66633))
% 192.07/191.93 [6664]~P118(x66641)+E(f317(f317(f74(x66641),f317(f317(f74(x66641),x66642),x66643)),x66644),f317(f317(f74(x66641),f317(f317(f74(x66641),x66642),x66644)),x66643))
% 192.07/191.93 [6725]~P145(x67252)+E(f317(f317(f8(x67251,x67252),f317(f18(x67252,x67251),x67253)),x67254),f317(f317(f75(x67252),f317(f90(x67252),f317(f30(x67251),x67254))),x67253))
% 192.07/191.93 [6902]E(f317(f317(f91(f910(x69021,a898)),f317(f317(f299(x69021),x69022),x69023)),x69024),f317(f317(f91(f910(x69021,a898)),x69023),x69024))+P2(f317(f317(f319(x69021),x69022),x69024))
% 192.07/191.93 [6971]~P79(x69711)+E(f317(f317(f224(x69711),f317(f317(f3(x69711),x69712),x69713)),f317(f317(f3(x69711),x69714),x69713)),f317(f317(f3(x69711),f317(f317(f224(x69711),x69712),x69714)),x69713))
% 192.07/191.93 [6972]~P79(x69721)+E(f317(f317(f225(x69721),f317(f317(f3(x69721),x69722),x69723)),f317(f317(f3(x69721),x69724),x69723)),f317(f317(f3(x69721),f317(f317(f225(x69721),x69722),x69724)),x69723))
% 192.07/191.93 [6973]~P111(x69731)+E(f317(f317(f74(x69731),f317(f317(f75(x69731),x69732),x69733)),f317(f317(f75(x69731),x69734),x69733)),f317(f317(f75(x69731),f317(f317(f74(x69731),x69732),x69734)),x69733))
% 192.07/191.93 [6975]~P83(x69751)+E(f317(f317(f224(x69751),f317(f317(f74(x69751),x69752),x69753)),f317(f317(f74(x69751),x69754),x69753)),f317(f317(f74(x69751),f317(f317(f224(x69751),x69752),x69754)),x69753))
% 192.07/191.93 [6976]~P83(x69761)+E(f317(f317(f225(x69761),f317(f317(f74(x69761),x69762),x69763)),f317(f317(f74(x69761),x69764),x69763)),f317(f317(f74(x69761),f317(f317(f225(x69761),x69762),x69764)),x69763))
% 192.07/191.93 [6977]~P122(x69771)+E(f317(f317(f3(x69771),f317(f317(f281(x69771),x69772),x69773)),f317(f317(f281(x69771),x69774),x69773)),f317(f317(f281(x69771),f317(f317(f3(x69771),x69772),x69774)),x69773))
% 192.07/191.93 [6978]~P122(x69781)+E(f317(f317(f74(x69781),f317(f317(f281(x69781),x69782),x69783)),f317(f317(f281(x69781),x69784),x69783)),f317(f317(f281(x69781),f317(f317(f74(x69781),x69782),x69784)),x69783))
% 192.07/191.93 [6979]~P71(x69791)+E(f317(f317(f75(x69791),f317(f317(f234(x69791),x69792),x69793)),f317(f317(f234(x69791),x69794),x69793)),f317(f317(f234(x69791),f317(f317(f75(x69791),x69792),x69794)),x69793))
% 192.07/191.93 [6980]~P118(x69801)+E(f317(f317(f75(x69801),f317(f317(f234(x69801),x69802),x69803)),f317(f317(f234(x69801),x69804),x69803)),f317(f317(f234(x69801),f317(f317(f75(x69801),x69802),x69804)),x69803))
% 192.07/191.93 [6981]~P61(x69811)+E(f317(f317(f281(x69811),f317(f317(f234(x69811),x69812),x69813)),f317(f317(f234(x69811),x69814),x69813)),f317(f317(f234(x69811),f317(f317(f281(x69811),x69812),x69814)),x69813))
% 192.07/191.93 [6982]~P103(x69821)+E(f317(f317(f91(x69821),f317(f317(f100(x69821),x69822),x69823)),f317(f317(f100(x69821),x69824),x69823)),f317(f317(f100(x69821),f317(f317(f91(x69821),x69822),x69824)),x69823))
% 192.07/191.93 [6983]~P103(x69831)+E(f317(f317(f100(x69831),f317(f317(f91(x69831),x69832),x69833)),f317(f317(f91(x69831),x69834),x69833)),f317(f317(f91(x69831),f317(f317(f100(x69831),x69832),x69834)),x69833))
% 192.07/191.93 [6984]~P108(x69841)+E(f317(f317(f225(x69841),f317(f317(f224(x69841),x69842),x69843)),f317(f317(f224(x69841),x69844),x69843)),f317(f317(f224(x69841),f317(f317(f225(x69841),x69842),x69844)),x69843))
% 192.07/191.93 [6985]~P108(x69851)+E(f317(f317(f224(x69851),f317(f317(f225(x69851),x69852),x69853)),f317(f317(f225(x69851),x69854),x69853)),f317(f317(f225(x69851),f317(f317(f224(x69851),x69852),x69854)),x69853))
% 192.07/191.93 [6986]~P118(x69861)+E(f317(f317(f74(x69861),f317(f317(f75(x69861),x69862),x69863)),f317(f317(f75(x69861),x69864),x69863)),f317(f317(f75(x69861),f317(f317(f74(x69861),x69862),x69864)),x69863))
% 192.07/191.93 [7019]E(f317(f317(f149(x70191,x70192),x70193),x70194),x70192)+~P2(f317(f317(f226(a903),f317(f179(f904(x70191)),x70192)),x70193))
% 192.07/191.93 [7046]~P2(f317(x70463,x70464))+P2(f317(f317(f317(f100(f910(x70461,a898)),x70462),x70463),x70464))
% 192.07/191.93 [7048]~P2(f317(x70482,x70484))+P2(f317(f317(f317(f100(f910(x70481,a898)),x70482),x70483),x70484))
% 192.07/191.93 [7068]E(f317(f317(f154(x70681),f317(f317(f124(x70681),x70682),x70683)),x70684),f317(f317(f154(x70681),x70682),x70684))+~P2(f317(f317(f227(a903),x70684),f317(f179(f904(x70681)),x70682)))
% 192.07/191.93 [7079]E(f317(f317(f3(f910(x70791,a898)),f317(f317(f299(x70791),x70792),x70793)),x70794),f317(f317(f3(f910(x70791,a898)),x70793),x70794))+~P2(f317(f317(f319(x70791),x70792),x70794))
% 192.07/191.93 [7120]~E(f129(a903,f317(f292(a903,x71201),x71202)),f317(f317(f141(a903),x71204),x71203))+E(f129(a903,f317(f292(a903,f317(f317(f74(a903),x71201),f72(a903))),x71202)),x71203)
% 192.07/191.93 [7142]~P2(f317(f317(f162(x71421),x71423),x71424))+P2(f317(f317(f162(x71421),f317(f317(f141(x71421),x71422),x71423)),x71424))
% 192.07/191.93 [7192]E(x71921,f2(a903))+E(f317(f317(f141(x71922),x71923),f317(f317(f165(x71922),f317(f317(f3(a903),x71921),f72(a903))),x71924)),f317(f317(f165(x71922),x71921),f317(f317(f141(x71922),x71923),x71924)))
% 192.07/191.93 [7294]E(f317(f317(f154(x72941),x72942),f317(f317(f3(a903),x72943),f317(f179(f904(x72941)),x72944))),f317(f317(f154(x72941),f317(f317(f124(x72941),x72944),x72942)),x72943))+P2(f317(f317(f227(a903),x72943),f317(f179(f904(x72941)),x72944)))
% 192.07/191.93 [7322]E(f317(f317(f91(f910(x73221,a898)),x73222),f317(f317(f299(x73221),x73223),x73224)),f317(f317(f299(x73221),x73223),f317(f317(f91(f910(x73221,a898)),x73222),x73224)))+~P2(f317(f317(f319(x73221),x73223),x73222))
% 192.07/191.93 [7360]E(f317(f317(f154(x73601),f317(f317(f149(x73601,x73602),x73603),x73604)),x73603),x73604)+~P2(f317(f317(f227(a903),x73603),f317(f179(f904(x73601)),x73602)))
% 192.07/191.93 [7382]E(x73821,f178(f910(x73822,a898)))+E(f317(f300(f909(x73823,x73822),x73823,f241(x73823,x73822)),f317(f317(f244(x73823,x73822),x73824),f317(f18(f910(x73822,a898),x73823),x73821))),x73824)
% 192.07/191.93 [7383]E(x73831,f178(f910(x73832,a898)))+E(f317(f300(f909(x73832,x73833),x73833,f246(x73832,x73833)),f317(f317(f244(x73832,x73833),x73831),f317(f18(f910(x73833,a898),x73832),x73834))),x73834)
% 192.07/191.93 [7458]E(f317(f317(f3(f910(x74581,a898)),f317(f317(f299(x74581),x74582),x74583)),x74584),f317(f317(f299(x74581),x74582),f317(f317(f3(f910(x74581,a898)),x74583),x74584)))+P2(f317(f317(f319(x74581),x74582),x74584))
% 192.07/191.93 [7494]~E(x74944,f178(f910(x74942,a898)))+E(f317(f300(f909(x74941,x74942),x74941,f241(x74941,x74942)),f317(f317(f244(x74941,x74942),x74943),f317(f18(f910(x74942,a898),x74941),x74944))),f178(f910(x74941,a898)))
% 192.07/191.93 [7495]~E(x74953,f178(f910(x74951,a898)))+E(f317(f300(f909(x74951,x74952),x74952,f246(x74951,x74952)),f317(f317(f244(x74951,x74952),x74953),f317(f18(f910(x74952,a898),x74951),x74954))),f178(f910(x74952,a898)))
% 192.07/191.93 [7547]~P2(f317(f317(f319(x75471),x75472),x75474))+P2(f317(f317(f319(x75471),x75472),f317(f317(f100(f910(x75471,a898)),x75473),x75474)))
% 192.07/191.93 [7550]~P2(f317(f317(f319(x75501),x75502),x75503))+P2(f317(f317(f319(x75501),x75502),f317(f317(f100(f910(x75501,a898)),x75503),x75504)))
% 192.07/191.93 [7568]E(f317(f317(f91(f910(x75681,a898)),f317(f317(f299(x75681),x75682),x75683)),x75684),f317(f317(f299(x75681),x75682),f317(f317(f91(f910(x75681,a898)),x75683),x75684)))+~P2(f317(f317(f319(x75681),x75682),x75684))
% 192.07/191.93 [7844]P2(f317(x78441,x78442))+~P2(f317(f317(f317(f91(f910(x78443,a898)),x78444),x78441),x78442))
% 192.07/191.93 [7845]P2(f317(x78451,x78452))+~P2(f317(f317(f317(f91(f910(x78453,a898)),x78451),x78454),x78452))
% 192.07/191.93 [7846]E(f317(f317(f8(x78461,a903),x78462),f317(f317(f3(f910(x78461,a898)),x78463),f317(f317(f299(x78461),x78464),f178(f910(x78461,a898))))),f317(f317(f8(x78461,a903),x78462),x78463))+P2(f317(f317(f319(x78461),x78464),x78463))
% 192.07/191.93 [7851]~P75(x78511)+E(f317(f155(x78511),f317(f317(f144(a903,x78511),x78512),f129(a903,f317(f292(a903,x78513),x78514)))),f317(f317(f8(a903,x78511),x78512),f317(f162(a903),f129(a903,f317(f292(a903,x78513),x78514)))))
% 192.07/191.93 [7852]~P75(x78521)+E(f317(f317(f8(a903,x78521),x78522),f317(f162(a903),f129(a903,f317(f292(a903,x78523),x78524)))),f317(f155(x78521),f317(f317(f144(a903,x78521),x78522),f129(a903,f317(f292(a903,x78523),x78524)))))
% 192.07/191.93 [7966]~E(x79663,x79664)+P2(f317(f57(x79661,x79662,f317(f317(f299(x79661),x79663),f178(f910(x79661,a898)))),x79664))
% 192.07/191.93 [8063]P2(f317(f317(f319(x80631),x80632),f317(f162(x80631),x80633)))+~P2(f317(f317(f319(x80631),x80632),f317(f162(x80631),f317(f317(f165(x80631),x80634),x80633))))
% 192.07/191.93 [8064]P2(f317(f317(f319(x80641),x80642),f317(f162(x80641),x80643)))+~P2(f317(f317(f319(x80641),x80642),f317(f162(x80641),f317(f317(f128(x80641),x80644),x80643))))
% 192.07/191.93 [8134]P2(f317(f317(f319(x81341),x81342),x81343))+~P2(f317(f317(f319(x81341),x81342),f317(f317(f3(f910(x81341,a898)),x81343),x81344)))
% 192.07/191.93 [8136]P2(f317(f317(f319(x81361),x81362),x81363))+~P2(f317(f317(f319(x81361),x81362),f317(f317(f91(f910(x81361,a898)),x81364),x81363)))
% 192.07/191.93 [8139]P2(f317(f317(f319(x81391),x81392),x81393))+~P2(f317(f317(f319(x81391),x81392),f317(f317(f91(f910(x81391,a898)),x81393),x81394)))
% 192.07/191.93 [8154]E(f317(f317(f124(x81541),f317(f317(f165(x81541),x81542),x81543)),f317(f317(f141(x81541),x81544),f317(f317(f128(x81541),f317(a102,x81542)),x81543))),f317(f317(f149(x81541,x81543),x81542),x81544))+~P2(f317(f317(f227(a903),x81542),f317(f179(f904(x81541)),x81543)))
% 192.07/191.93 [8177]P2(f317(f317(f319(x81771),x81772),x81773))+~P2(f317(f317(f226(f910(x81771,a898)),f317(f317(f299(x81771),x81772),x81774)),x81773))
% 192.07/191.93 [8214]~P2(f317(f317(f319(x82141),x82142),x82143))+~P2(f317(f317(f319(x82141),x82142),f317(f317(f3(f910(x82141,a898)),x82144),x82143)))
% 192.07/191.93 [8247]~P2(f317(f317(f227(a903),x82474),f317(f179(f904(x82471)),x82473)))+P2(f317(f317(f319(x82471),x82472),f317(f162(x82471),f317(f317(f149(x82471,x82473),x82474),x82472))))
% 192.07/191.93 [8300]E(f317(f317(f154(x83001),f317(f317(f128(x83001),x83002),x83003)),x83004),f317(f317(f154(x83001),x83003),f317(f317(f74(a903),x83002),x83004)))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),x83002),x83004)),f317(f179(f904(x83001)),x83003)))
% 192.07/191.93 [8309]~P145(x83092)+E(f317(f317(f8(x83091,x83092),f317(f317(f10(a903,x83092,x83091),f90(x83092)),x83093)),x83094),f317(f90(x83092),f317(f317(f8(x83091,a903),x83093),x83094)))
% 192.07/191.93 [8310]~P141(x83102)+E(f317(f317(f8(x83101,x83102),f317(f317(f10(a1,x83102,x83101),f92(x83102)),x83103)),x83104),f317(f92(x83102),f317(f317(f8(x83101,a1),x83103),x83104)))
% 192.07/191.93 [8360]~P64(x83602)+E(f317(f317(f11(x83601,x83602),f317(f317(f10(x83602,x83602,x83601),f70(x83602)),x83603)),x83604),f317(f70(x83602),f317(f317(f11(x83601,x83602),x83603),x83604)))
% 192.07/191.93 [8361]~P68(x83612)+E(f317(f317(f8(x83611,x83612),f317(f317(f10(x83612,x83612,x83611),f73(x83612)),x83613)),x83614),f317(f73(x83612),f317(f317(f8(x83611,x83612),x83613),x83614)))
% 192.07/191.93 [8364]E(f317(f317(f8(x83641,a903),x83642),f317(f317(f3(f910(x83641,a898)),x83643),f317(f317(f299(x83641),x83644),f178(f910(x83641,a898))))),f317(f317(f3(a903),f317(f317(f8(x83641,a903),x83642),x83643)),f317(x83642,x83644)))+~P2(f317(f317(f319(x83641),x83644),x83643))
% 192.07/191.93 [8383]P2(f317(f317(f226(f910(x83831,a898)),x83832),x83833))+~P2(f317(f317(f226(f910(x83831,a898)),f317(f317(f299(x83831),x83834),x83832)),x83833))
% 192.07/191.93 [8507]~E(f317(f300(x85072,x85073,x85071),f232(f910(x85072,a898))),f232(f910(x85073,a898)))+E(f317(x85071,f317(f85(x85072,x85073,f232(f910(x85072,a898)),x85071),x85074)),x85074)
% 192.07/191.93 [8591]P37(x85911,x85912)+~P37(x85911,f317(f317(f299(f909(x85911,x85911)),f317(f317(f242(x85911,x85911),x85913),x85914)),x85912))
% 192.07/191.93 [8592]P57(x85921,x85922)+~P57(x85921,f317(f317(f299(f909(x85921,x85921)),f317(f317(f242(x85921,x85921),x85923),x85924)),x85922))
% 192.07/191.93 [8597]~P108(x85971)+E(f317(f317(f138(x85971,x85971,f7(x85971)),x85972),f317(f317(f138(x85971,x85971,f7(x85971)),x85973),x85974)),f317(f317(f138(x85971,x85971,f7(x85971)),x85973),f317(f317(f138(x85971,x85971,f7(x85971)),x85972),x85974)))
% 192.07/191.93 [8612]E(x86121,x86122)+~P2(f317(f57(x86123,x86124,f317(f317(f299(x86123),x86121),f178(f910(x86123,a898)))),x86122))
% 192.07/191.93 [8621]E(f317(f317(f124(x86211),f317(f317(f165(x86211),x86212),x86213)),f317(f317(f165(x86211),x86214),f317(f317(f128(x86211),x86212),x86213))),f317(f317(f165(x86211),f317(f317(f74(a903),x86212),x86214)),x86213))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),x86212),x86214)),f317(f179(f904(x86211)),x86213)))
% 192.07/191.93 [8661]P2(f317(f29(x86611),x86612))+~E(x86612,f317(f300(a903,x86611,x86613),f317(f252(a903),f317(f317(f9(a903,a903,a898),f227(a903)),x86614))))
% 192.07/191.93 [8681]~P91(x86811)+E(f317(f132(x86811,x86811,f74(x86811),f317(f317(f74(x86811),x86812),x86813)),x86814),f317(f317(f74(x86811),x86812),f317(f132(x86811,x86811,f74(x86811),x86813),x86814)))
% 192.07/191.93 [8717]P2(f317(f317(f226(f910(x87171,a898)),f317(f254(x87171,x87172),x87173)),f317(f254(x87171,x87172),x87174)))+~P2(f317(f317(f226(f910(f909(x87171,x87172),a898)),x87173),x87174))
% 192.07/191.93 [8729]~P2(f317(f317(f226(a903),x87292),x87294))+P2(f317(f317(f226(f910(x87291,a898)),f317(f162(x87291),f317(f317(f165(x87291),x87292),x87293))),f317(f162(x87291),f317(f317(f165(x87291),x87294),x87293))))
% 192.07/191.93 [8730]~P2(f317(f317(f226(a903),x87304),x87302))+P2(f317(f317(f226(f910(x87301,a898)),f317(f162(x87301),f317(f317(f128(x87301),x87302),x87303))),f317(f162(x87301),f317(f317(f128(x87301),x87304),x87303))))
% 192.07/191.93 [8787]~P2(f317(f29(x87871),f317(f317(f3(f910(x87871,a898)),x87872),x87874)))+P2(f317(f29(x87871),f317(f317(f3(f910(x87871,a898)),x87872),f317(f317(f299(x87871),x87873),x87874))))
% 192.07/191.93 [8829]P2(f317(f317(f319(f909(x88291,x88291)),x88292),f297(x88291,x88293)))+~P2(f317(f317(f319(f909(x88291,x88291)),x88292),f317(f317(f173(f909(x88291,x88291),a898),x88294),x88293)))
% 192.07/191.93 [8915]~P2(f317(f29(x89151),f317(f317(f3(f910(x89151,a898)),x89152),f317(f317(f299(x89151),x89154),x89153))))+P2(f317(f29(x89151),f317(f317(f3(f910(x89151,a898)),x89152),x89153)))
% 192.07/191.93 [9126]~P102(x91261)+P2(f317(f317(f226(x91261),f317(f317(f100(x91261),x91262),f317(f317(f91(x91261),x91263),x91264))),f317(f317(f91(x91261),f317(f317(f100(x91261),x91262),x91263)),f317(f317(f100(x91261),x91262),x91264))))
% 192.07/191.93 [9127]~P108(x91271)+P2(f317(f317(f226(x91271),f317(f317(f225(x91271),x91272),f317(f317(f224(x91271),x91273),x91274))),f317(f317(f224(x91271),f317(f317(f225(x91271),x91272),x91273)),f317(f317(f225(x91271),x91272),x91274))))
% 192.07/191.93 [9274]E(x92741,x92742)+~P2(f317(f317(f319(f909(x92743,x92743)),f317(f317(f242(x92743,x92743),x92741),x92742)),f317(f162(f909(x92743,x92743)),f317(f317(f171(x92743,x92743),x92744),x92744))))
% 192.07/191.93 [9305]~P2(f317(f317(f319(f909(x93051,x93051)),f317(f317(f242(x93051,x93051),x93053),x93052)),f297(x93051,x93054)))+~P37(x93051,f317(f317(f299(f909(x93051,x93051)),f317(f317(f242(x93051,x93051),x93052),x93053)),x93054))
% 192.07/191.93 [9306]~P2(f317(f317(f319(f909(x93061,x93061)),f317(f317(f242(x93061,x93061),x93063),x93062)),f297(x93061,x93064)))+~P57(x93061,f317(f317(f299(f909(x93061,x93061)),f317(f317(f242(x93061,x93061),x93062),x93063)),x93064))
% 192.07/191.93 [9310]E(x93101,x93102)+E(f317(f126(x93103,f317(f317(f10(a898,a898,x93103),a312),f317(a314,x93101))),f317(f317(f141(x93103),x93102),x93104)),f317(f317(f141(x93103),x93102),f317(f126(x93103,f317(f317(f10(a898,a898,x93103),a312),f317(a314,x93101))),x93104)))
% 192.07/191.93 [9341]~P26(x93412,x93411,x93413,f232(f910(x93412,a898)),f232(f910(x93411,a898)))+E(f317(f300(x93411,x93412,f85(x93412,x93411,f232(f910(x93412,a898)),x93413)),x93414),f317(f301(x93412,x93411,x93413),x93414))
% 192.07/191.93 [9357]~P102(x93571)+P2(f317(f317(f226(x93571),f317(f317(f100(x93571),f317(f317(f91(x93571),x93572),x93573)),f317(f317(f91(x93571),x93572),x93574))),f317(f317(f91(x93571),x93572),f317(f317(f100(x93571),x93573),x93574))))
% 192.07/191.93 [9358]~P108(x93581)+P2(f317(f317(f226(x93581),f317(f317(f225(x93581),f317(f317(f224(x93581),x93582),x93583)),f317(f317(f224(x93581),x93582),x93584))),f317(f317(f224(x93581),x93582),f317(f317(f225(x93581),x93583),x93584))))
% 192.07/191.93 [9422]~P26(x94222,x94221,x94224,f232(f910(x94222,a898)),f232(f910(x94221,a898)))+E(f317(f252(x94221),f317(f317(f10(x94222,a898,x94221),x94223),f85(x94222,x94221,f232(f910(x94222,a898)),x94224))),f317(f300(x94222,x94221,x94224),f317(f252(x94222),x94223)))
% 192.07/191.93 [9436]~E(f317(f300(x94362,x94361,x94363),f232(f910(x94362,a898))),f232(f910(x94361,a898)))+P2(f317(f317(f226(f910(x94361,a898)),f317(f73(f910(x94361,a898)),f317(f300(x94362,x94361,x94363),x94364))),f317(f300(x94362,x94361,x94363),f317(f73(f910(x94362,a898)),x94364))))
% 192.07/191.93 [9771]P2(f317(f317(f319(f909(x97711,x97711)),f317(f317(f242(x97711,x97711),x97712),x97713)),f317(f276(x97711,x97711),f317(f317(f279(x97711,x97711,x97711),x97714),f297(x97711,x97714)))))+~P2(f317(f317(f319(f909(x97711,x97711)),f317(f317(f242(x97711,x97711),x97712),x97713)),f317(f317(f279(x97711,x97711,x97711),f317(f276(x97711,x97711),x97714)),f297(x97711,f317(f276(x97711,x97711),x97714)))))
% 192.07/191.93 [9772]~P2(f317(f317(f319(f909(x97721,x97721)),f317(f317(f242(x97721,x97721),x97722),x97723)),f317(f276(x97721,x97721),f317(f317(f279(x97721,x97721,x97721),x97724),f297(x97721,x97724)))))+P2(f317(f317(f319(f909(x97721,x97721)),f317(f317(f242(x97721,x97721),x97722),x97723)),f317(f317(f279(x97721,x97721,x97721),f317(f276(x97721,x97721),x97724)),f297(x97721,f317(f276(x97721,x97721),x97724)))))
% 192.07/191.93 [9793]~P2(f317(f317(f319(x97932),x97934),f317(f274(x97931,x97932),x97933)))+P2(f317(f317(f319(f909(x97931,x97932)),f317(f317(f242(x97931,x97932),f560(x97933,x97931,x97934,x97932)),x97934)),x97933))
% 192.07/191.93 [9794]~P2(f317(f317(f319(x97942),x97944),f317(f274(x97941,x97942),x97943)))+P2(f317(f317(f319(f909(x97941,x97942)),f317(f317(f242(x97941,x97942),f567(x97943,x97941,x97944,x97942)),x97944)),x97943))
% 192.07/191.93 [9819]~P2(f317(f317(f319(x98191),x98194),f317(f317(f100(f910(x98191,a898)),x98192),x98193)))+P2(f317(f317(f317(f100(f910(x98191,a898)),f317(f317(f9(x98191,f910(x98191,a898),a898),f319(x98191)),x98192)),f317(f317(f9(x98191,f910(x98191,a898),a898),f319(x98191)),x98193)),x98194))
% 192.07/191.93 [9820]~P2(f317(f317(f319(x98201),x98204),f317(f317(f91(f910(x98201,a898)),x98202),x98203)))+P2(f317(f317(f317(f91(f910(x98201,a898)),f317(f317(f9(x98201,f910(x98201,a898),a898),f319(x98201)),x98202)),f317(f317(f9(x98201,f910(x98201,a898),a898),f319(x98201)),x98203)),x98204))
% 192.07/191.93 [9902]~P2(f317(f317(f319(f909(x99021,x99021)),f317(f317(f242(x99021,x99021),x99024),x99023)),f317(f317(f279(x99021,x99021,x99021),x99022),f297(x99021,x99022))))+P2(f317(f317(f319(f909(x99021,x99021)),f317(f317(f242(x99021,x99021),f729(x99022,x99023,x99024,x99021)),x99023)),x99022))
% 192.07/191.93 [9937]P2(f317(f317(f319(x99371),x99372),f317(f317(f100(f910(x99371,a898)),x99373),x99374)))+~P2(f317(f317(f317(f100(f910(x99371,a898)),f317(f317(f9(x99371,f910(x99371,a898),a898),f319(x99371)),x99373)),f317(f317(f9(x99371,f910(x99371,a898),a898),f319(x99371)),x99374)),x99372))
% 192.07/191.93 [9938]P2(f317(f317(f319(x99381),x99382),f317(f317(f91(f910(x99381,a898)),x99383),x99384)))+~P2(f317(f317(f317(f91(f910(x99381,a898)),f317(f317(f9(x99381,f910(x99381,a898),a898),f319(x99381)),x99383)),f317(f317(f9(x99381,f910(x99381,a898),a898),f319(x99381)),x99384)),x99382))
% 192.07/191.93 [10220]P32(x102201,f317(f317(f9(x102201,f910(f909(x102201,x102201),a898),f910(x102201,a898)),f317(f317(f10(f910(x102201,f910(f910(f909(x102201,x102201),a898),a898)),f910(f910(f909(x102201,x102201),a898),f910(x102201,a898)),x102201),f9(x102201,f910(f909(x102201,x102201),a898),a898)),f317(f317(f10(f910(x102201,f909(x102201,x102201)),f910(x102201,f910(f910(f909(x102201,x102201),a898),a898)),x102201),f317(f10(f909(x102201,x102201),f910(f910(f909(x102201,x102201),a898),a898),x102201),f319(f909(x102201,x102201)))),f242(x102201,x102201)))),x102202),x102203,x102204)+~P2(f317(f317(f319(f909(f904(x102201),f904(x102201))),f317(f317(f242(f904(x102201),f904(x102201)),x102203),x102204)),f148(x102201,x102202)))
% 192.07/191.93 [10224]P58(x102241,f317(f317(f9(x102241,f910(f909(x102241,x102241),a898),f910(x102241,a898)),f317(f317(f10(f910(x102241,f910(f910(f909(x102241,x102241),a898),a898)),f910(f910(f909(x102241,x102241),a898),f910(x102241,a898)),x102241),f9(x102241,f910(f909(x102241,x102241),a898),a898)),f317(f317(f10(f910(x102241,f909(x102241,x102241)),f910(x102241,f910(f910(f909(x102241,x102241),a898),a898)),x102241),f317(f10(f909(x102241,x102241),f910(f910(f909(x102241,x102241),a898),a898),x102241),f319(f909(x102241,x102241)))),f242(x102241,x102241)))),x102242),x102243,x102244)+~P2(f317(f317(f319(f909(f910(x102241,a898),f910(x102241,a898))),f317(f317(f242(f910(x102241,a898),f910(x102241,a898)),x102243),x102244)),f309(x102241,x102242)))
% 192.07/191.93 [10259]E(x102591,x102592)+~E(f317(f317(f9(x102593,f910(f909(x102593,x102594),a898),f910(x102594,a898)),f317(f317(f10(f910(x102594,f910(f910(f909(x102593,x102594),a898),a898)),f910(f910(f909(x102593,x102594),a898),f910(x102594,a898)),x102593),f9(x102594,f910(f909(x102593,x102594),a898),a898)),f317(f317(f10(f910(x102594,f909(x102593,x102594)),f910(x102594,f910(f910(f909(x102593,x102594),a898),a898)),x102593),f317(f10(f909(x102593,x102594),f910(f910(f909(x102593,x102594),a898),a898),x102594),f319(f909(x102593,x102594)))),f242(x102593,x102594)))),x102591),f317(f317(f9(x102593,f910(f909(x102593,x102594),a898),f910(x102594,a898)),f317(f317(f10(f910(x102594,f910(f910(f909(x102593,x102594),a898),a898)),f910(f910(f909(x102593,x102594),a898),f910(x102594,a898)),x102593),f9(x102594,f910(f909(x102593,x102594),a898),a898)),f317(f317(f10(f910(x102594,f909(x102593,x102594)),f910(x102594,f910(f910(f909(x102593,x102594),a898),a898)),x102593),f317(f10(f909(x102593,x102594),f910(f910(f909(x102593,x102594),a898),a898),x102594),f319(f909(x102593,x102594)))),f242(x102593,x102594)))),x102592))
% 192.07/191.93 [10262]~P32(x102621,f317(f317(f9(x102621,f910(f909(x102621,x102621),a898),f910(x102621,a898)),f317(f317(f10(f910(x102621,f910(f910(f909(x102621,x102621),a898),a898)),f910(f910(f909(x102621,x102621),a898),f910(x102621,a898)),x102621),f9(x102621,f910(f909(x102621,x102621),a898),a898)),f317(f317(f10(f910(x102621,f909(x102621,x102621)),f910(x102621,f910(f910(f909(x102621,x102621),a898),a898)),x102621),f317(f10(f909(x102621,x102621),f910(f910(f909(x102621,x102621),a898),a898),x102621),f319(f909(x102621,x102621)))),f242(x102621,x102621)))),x102624),x102622,x102623)+P2(f317(f317(f319(f909(f904(x102621),f904(x102621))),f317(f317(f242(f904(x102621),f904(x102621)),x102622),x102623)),f148(x102621,x102624)))
% 192.07/191.93 [10263]~P58(x102631,f317(f317(f9(x102631,f910(f909(x102631,x102631),a898),f910(x102631,a898)),f317(f317(f10(f910(x102631,f910(f910(f909(x102631,x102631),a898),a898)),f910(f910(f909(x102631,x102631),a898),f910(x102631,a898)),x102631),f9(x102631,f910(f909(x102631,x102631),a898),a898)),f317(f317(f10(f910(x102631,f909(x102631,x102631)),f910(x102631,f910(f910(f909(x102631,x102631),a898),a898)),x102631),f317(f10(f909(x102631,x102631),f910(f910(f909(x102631,x102631),a898),a898),x102631),f319(f909(x102631,x102631)))),f242(x102631,x102631)))),x102634),x102632,x102633)+P2(f317(f317(f319(f909(f910(x102631,a898),f910(x102631,a898))),f317(f317(f242(f910(x102631,a898),f910(x102631,a898)),x102632),x102633)),f309(x102631,x102634)))
% 192.07/191.93 [7617]~P93(x76171)+E(f317(f317(f75(x76171),f317(f93(x76171),x76172)),f317(f317(f75(x76171),f317(f93(x76171),x76173)),x76174)),f317(f317(f75(x76171),f317(f93(x76171),f317(f317(f75(a1),x76172),x76173))),x76174))
% 192.07/191.93 [7618]~P93(x76181)+E(f317(f317(f74(x76181),f317(f93(x76181),x76182)),f317(f317(f3(x76181),f317(f93(x76181),x76183)),x76184)),f317(f317(f3(x76181),f317(f93(x76181),f317(f317(f74(a1),x76182),x76183))),x76184))
% 192.07/191.93 [7619]~P93(x76191)+E(f317(f317(f74(x76191),f317(f93(x76191),x76192)),f317(f317(f74(x76191),f317(f93(x76191),x76193)),x76194)),f317(f317(f74(x76191),f317(f93(x76191),f317(f317(f74(a1),x76192),x76193))),x76194))
% 192.07/191.93 [7661]~P145(x76611)+E(f317(f155(x76611),f317(f317(f144(x76612,x76611),f317(f18(x76611,x76612),x76613)),x76614)),f317(f317(f75(x76611),f317(f90(x76611),f317(f179(f904(x76612)),x76614))),x76613))
% 192.07/191.93 [7901]E(f317(f258(x79011,f317(f317(f141(f909(a89,x79011)),x79012),x79013)),x79014),f317(f246(a89,x79011),x79012))+~P2(f317(f317(f227(a89),x79014),f317(f241(a89,x79011),x79012)))
% 192.07/191.93 [7942]~P93(x79421)+E(f317(f317(f74(x79421),f317(f93(x79421),x79422)),f317(f317(f3(x79421),x79423),f317(f93(x79421),x79424))),f317(f317(f74(x79421),f317(f93(x79421),f317(f317(f74(a1),x79422),f317(f73(a1),x79424)))),x79423))
% 192.07/191.93 [8076]E(f317(f258(x80761,x80762),f317(f317(f3(a89),x80763),f317(f241(a89,x80761),x80764))),f317(f258(x80761,f317(f317(f141(f909(a89,x80761)),x80764),x80762)),x80763))+P2(f317(f317(f227(a89),x80763),f317(f241(a89,x80761),x80764)))
% 192.07/191.93 [8513]~P2(f317(f317(f319(x85131),x85132),f317(f162(x85131),f104(x85131,x85134))))+P2(f317(f317(f319(x85131),x85132),f317(f162(x85131),f104(x85131,f317(f317(f124(x85131),x85133),x85134)))))
% 192.07/191.93 [8514]~P2(f317(f317(f319(x85141),x85142),f317(f162(x85141),f104(x85141,x85143))))+P2(f317(f317(f319(x85141),x85142),f317(f162(x85141),f104(x85141,f317(f317(f124(x85141),x85143),x85144)))))
% 192.07/191.93 [8534]E(f317(f317(f100(f910(x85341,a898)),f317(f317(f91(f910(x85341,a898)),x85342),x85343)),x85344),f317(f317(f91(f910(x85341,a898)),x85342),f317(f317(f100(f910(x85341,a898)),x85343),x85344)))+~P2(f317(f317(f226(f910(x85341,a898)),x85344),x85342))
% 192.07/191.93 [8843]~E(f317(f317(f100(f910(x88431,a898)),f317(f317(f91(f910(x88431,a898)),x88433),x88434)),x88432),f317(f317(f91(f910(x88431,a898)),x88433),f317(f317(f100(f910(x88431,a898)),x88434),x88432)))+P2(f317(f317(f226(f910(x88431,a898)),x88432),x88433))
% 192.07/191.93 [9131]~P2(f317(f317(f226(f910(x91311,a898)),x91312),f317(f317(f100(f910(x91311,a898)),x91313),x91314)))+P2(f317(f317(f226(f910(x91311,a898)),f317(f317(f3(f910(x91311,a898)),x91312),x91313)),x91314))
% 192.07/191.93 [9246]~E(f317(f300(x92461,x92462,x92463),f232(f910(x92461,a898))),f232(f910(x92462,a898)))+E(f317(f300(x92461,x92462,x92463),f317(f300(x92462,x92461,f85(x92461,x92462,f232(f910(x92461,a898)),x92463)),x92464)),x92464)
% 192.07/191.93 [9251]P2(f317(f317(f226(f910(x92511,a898)),x92512),f317(f317(f100(f910(x92511,a898)),x92513),x92514)))+~P2(f317(f317(f226(f910(x92511,a898)),f317(f317(f3(f910(x92511,a898)),x92512),x92513)),x92514))
% 192.07/191.93 [9336]~P85(x93361)+E(f317(f70(x93361),f317(f317(f8(x93362,x93361),f317(f317(f10(x93361,x93361,x93362),f70(x93361)),x93363)),x93364)),f317(f317(f8(x93362,x93361),f317(f317(f10(x93361,x93361,x93362),f70(x93361)),x93363)),x93364))
% 192.07/191.93 [9512]~P85(x95121)+P2(f317(f317(f226(x95121),f2(x95121)),f317(f317(f8(x95122,x95121),f317(f317(f10(x95121,x95121,x95122),f70(x95121)),x95123)),x95124)))
% 192.07/191.93 [9516]~P68(x95161)+E(f317(f155(x95161),f317(f317(f144(x95162,x95161),f317(f67(x95161,x95161,x95162,f73(x95161)),x95163)),x95164)),f317(f73(x95161),f317(f155(x95161),f317(f317(f144(x95162,x95161),x95163),x95164))))
% 192.07/191.93 [9667]~P85(x96671)+P2(f317(f317(f226(x96671),f317(f70(x96671),f317(f317(f8(x96672,x96671),x96673),x96674))),f317(f317(f8(x96672,x96671),f317(f317(f10(x96671,x96671,x96672),f70(x96671)),x96673)),x96674)))
% 192.07/191.93 [9696]~E(f317(f317(f74(a903),x96961),x96964),f317(f317(f74(a903),x96963),x96962))+P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),f317(f317(f242(a903,a903),x96961),x96962)),f317(f317(f242(a903,a903),x96963),x96964))),a98))
% 192.07/191.93 [9697]~P2(f317(f317(f227(a903),x96971),x96973))+P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),f317(f317(f242(a903,a903),x96971),x96972)),f317(f317(f242(a903,a903),x96973),x96974))),a26))
% 192.07/191.93 [9698]~P2(f317(f317(f227(a903),x96981),x96983))+P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),f317(f317(f242(a903,a903),x96981),x96982)),f317(f317(f242(a903,a903),x96983),x96984))),a65))
% 192.07/191.93 [9844]E(f317(f317(f74(a903),x98441),x98442),f317(f317(f74(a903),x98443),x98444))+~P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),f317(f317(f242(a903,a903),x98441),x98444)),f317(f317(f242(a903,a903),x98443),x98442))),a98))
% 192.07/191.93 [9876]E(f317(f317(f154(x98761),f317(f317(f128(x98761),f317(f179(f904(x98761)),f167(x98761,x98762,x98763))),x98763)),x98764),f317(f317(f154(x98761),x98763),f317(f317(f74(a903),x98764),f317(f179(f904(x98761)),f167(x98761,x98762,x98763)))))+~P2(f317(f317(f227(a903),x98764),f317(f179(f904(x98761)),f317(f317(f128(x98761),f317(f179(f904(x98761)),f167(x98761,x98762,x98763))),x98763))))
% 192.07/191.93 [9893]~P2(f317(f317(f319(x98932),x98934),f317(f317(f35(x98931,f910(x98932,a898)),f232(f910(x98931,a898))),x98933)))+P2(f317(f317(f317(f35(x98931,f910(x98932,a898)),f232(f910(x98931,a898))),f317(f317(f10(f910(x98932,a898),f910(x98932,a898),x98931),f317(f9(x98932,f910(x98932,a898),a898),f319(x98932))),x98933)),x98934))
% 192.07/191.93 [9894]~P2(f317(f317(f319(x98942),x98944),f317(f317(f36(x98941,f910(x98942,a898)),f232(f910(x98941,a898))),x98943)))+P2(f317(f317(f317(f36(x98941,f910(x98942,a898)),f232(f910(x98941,a898))),f317(f317(f10(f910(x98942,a898),f910(x98942,a898),x98941),f317(f9(x98942,f910(x98942,a898),a898),f319(x98942))),x98943)),x98944))
% 192.07/191.93 [9963]~P2(f317(f45(x99631,x99632),f317(f317(f242(a1,a1),x99634),x99633)))+P2(f317(f45(f317(f73(a1),x99631),x99632),f317(f317(f242(a1,a1),f317(f317(f317(f86(a1),f317(f317(a314,x99633),f2(a1))),f317(f73(a1),x99634)),f317(f317(f3(a1),f317(f73(a1),x99634)),f72(a1)))),f317(f317(f317(f86(a1),f317(f317(a314,x99633),f2(a1))),f2(a1)),f317(f317(f3(a1),x99632),x99633)))))
% 192.07/191.93 [9975]P2(f317(f317(f319(x99751),x99752),f317(f317(f35(x99753,f910(x99751,a898)),f232(f910(x99753,a898))),x99754)))+~P2(f317(f317(f317(f35(x99753,f910(x99751,a898)),f232(f910(x99753,a898))),f317(f317(f10(f910(x99751,a898),f910(x99751,a898),x99753),f317(f9(x99751,f910(x99751,a898),a898),f319(x99751))),x99754)),x99752))
% 192.07/191.93 [9976]P2(f317(f317(f319(x99761),x99762),f317(f317(f36(x99763,f910(x99761,a898)),f232(f910(x99763,a898))),x99764)))+~P2(f317(f317(f317(f36(x99763,f910(x99761,a898)),f232(f910(x99763,a898))),f317(f317(f10(f910(x99761,a898),f910(x99761,a898),x99763),f317(f9(x99761,f910(x99761,a898),a898),f319(x99761))),x99764)),x99762))
% 192.07/191.93 [9988]E(f317(f317(f36(a903,f910(x99881,a898)),f232(f910(a903,a898))),x99882),f317(f317(f36(a903,f910(x99881,a898)),f232(f910(a903,a898))),x99883))+~E(f317(f317(f36(a903,f910(x99881,a898)),f317(f292(a903,f2(a903)),f505(x99882,x99884,x99883,x99881))),x99883),f317(f317(f36(a903,f910(x99881,a898)),f317(f292(a903,f2(a903)),f317(f317(f74(a903),f505(x99882,x99884,x99883,x99881)),x99884))),x99882))
% 192.07/191.93 [10340]~P2(f317(f317(f226(f910(f909(x103401,x103402),a898)),x103403),x103404))+P2(f317(f317(f226(f910(x103401,f910(x103402,a898))),f317(f317(f9(x103401,f910(f909(x103401,x103402),a898),f910(x103402,a898)),f317(f317(f10(f910(x103402,f910(f910(f909(x103401,x103402),a898),a898)),f910(f910(f909(x103401,x103402),a898),f910(x103402,a898)),x103401),f9(x103402,f910(f909(x103401,x103402),a898),a898)),f317(f317(f10(f910(x103402,f909(x103401,x103402)),f910(x103402,f910(f910(f909(x103401,x103402),a898),a898)),x103401),f317(f10(f909(x103401,x103402),f910(f910(f909(x103401,x103402),a898),a898),x103402),f319(f909(x103401,x103402)))),f242(x103401,x103402)))),x103403)),f317(f317(f9(x103401,f910(f909(x103401,x103402),a898),f910(x103402,a898)),f317(f317(f10(f910(x103402,f910(f910(f909(x103401,x103402),a898),a898)),f910(f910(f909(x103401,x103402),a898),f910(x103402,a898)),x103401),f9(x103402,f910(f909(x103401,x103402),a898),a898)),f317(f317(f10(f910(x103402,f909(x103401,x103402)),f910(x103402,f910(f910(f909(x103401,x103402),a898),a898)),x103401),f317(f10(f909(x103401,x103402),f910(f910(f909(x103401,x103402),a898),a898),x103402),f319(f909(x103401,x103402)))),f242(x103401,x103402)))),x103404)))
% 192.07/191.93 [10356]P2(f317(f317(f226(f910(f909(x103561,x103562),a898)),x103563),x103564))+~P2(f317(f317(f226(f910(x103561,f910(x103562,a898))),f317(f317(f9(x103561,f910(f909(x103561,x103562),a898),f910(x103562,a898)),f317(f317(f10(f910(x103562,f910(f910(f909(x103561,x103562),a898),a898)),f910(f910(f909(x103561,x103562),a898),f910(x103562,a898)),x103561),f9(x103562,f910(f909(x103561,x103562),a898),a898)),f317(f317(f10(f910(x103562,f909(x103561,x103562)),f910(x103562,f910(f910(f909(x103561,x103562),a898),a898)),x103561),f317(f10(f909(x103561,x103562),f910(f910(f909(x103561,x103562),a898),a898),x103562),f319(f909(x103561,x103562)))),f242(x103561,x103562)))),x103563)),f317(f317(f9(x103561,f910(f909(x103561,x103562),a898),f910(x103562,a898)),f317(f317(f10(f910(x103562,f910(f910(f909(x103561,x103562),a898),a898)),f910(f910(f909(x103561,x103562),a898),f910(x103562,a898)),x103561),f9(x103562,f910(f909(x103561,x103562),a898),a898)),f317(f317(f10(f910(x103562,f909(x103561,x103562)),f910(x103562,f910(f910(f909(x103561,x103562),a898),a898)),x103561),f317(f10(f909(x103561,x103562),f910(f910(f909(x103561,x103562),a898),a898),x103562),f319(f909(x103561,x103562)))),f242(x103561,x103562)))),x103564)))
% 192.07/191.93 [9384]~P2(f317(f317(f319(f909(x93841,x93841)),x93842),f297(x93841,x93844)))+P2(f317(f317(f319(f909(x93841,x93841)),x93842),f297(x93841,f317(f317(f100(f910(f909(x93841,x93841),a898)),x93843),x93844))))
% 192.07/191.93 [9385]~P2(f317(f317(f319(f909(x93851,x93851)),x93852),f297(x93851,x93853)))+P2(f317(f317(f319(f909(x93851,x93851)),x93852),f297(x93851,f317(f317(f100(f910(f909(x93851,x93851),a898)),x93853),x93854))))
% 192.07/191.93 [10075]~P2(f317(f317(f226(a903),f317(f317(f74(a903),x100751),x100754)),f317(f317(f74(a903),x100753),x100752)))+P2(f317(f317(f226(a1),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x100751),x100752)),f178(f910(f909(a903,a903),a898)))))),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x100753),x100754)),f178(f910(f909(a903,a903),a898)))))))
% 192.07/191.93 [10076]~P2(f317(f317(f227(a903),f317(f317(f74(a903),x100761),x100764)),f317(f317(f74(a903),x100763),x100762)))+P2(f317(f317(f227(a1),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x100761),x100762)),f178(f910(f909(a903,a903),a898)))))),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x100763),x100764)),f178(f910(f909(a903,a903),a898)))))))
% 192.07/191.93 [10163]P2(f317(f317(f226(a903),f317(f317(f74(a903),x101631),x101632)),f317(f317(f74(a903),x101633),x101634)))+~P2(f317(f317(f226(a1),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x101631),x101634)),f178(f910(f909(a903,a903),a898)))))),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x101633),x101632)),f178(f910(f909(a903,a903),a898)))))))
% 192.07/191.93 [10164]P2(f317(f317(f227(a903),f317(f317(f74(a903),x101641),x101642)),f317(f317(f74(a903),x101643),x101644)))+~P2(f317(f317(f227(a1),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x101641),x101644)),f178(f910(f909(a903,a903),a898)))))),f317(a83,f317(f275(f909(a903,a903),f909(a903,a903),a98),f317(f317(f299(f909(a903,a903)),f317(f317(f242(a903,a903),x101643),x101642)),f178(f910(f909(a903,a903),a898)))))))
% 192.07/191.93 [10206]P2(f317(f317(f226(f910(x102061,a898)),f317(f317(f36(a903,f910(x102061,a898)),f232(f910(a903,a898))),x102062)),f317(f317(f36(a903,f910(x102061,a898)),f232(f910(a903,a898))),x102063)))+~P2(f317(f317(f226(f910(x102061,a898)),f317(f317(f36(a903,f910(x102061,a898)),f317(f292(a903,f2(a903)),f506(x102063,x102064,x102062,x102061))),x102062)),f317(f317(f36(a903,f910(x102061,a898)),f317(f292(a903,f2(a903)),f317(f317(f74(a903),f506(x102063,x102064,x102062,x102061)),x102064))),x102063)))
% 192.07/191.93 [10266]P2(f317(f317(f226(a89),x102664),f2(a89)))+E(f317(f317(f249(f909(a89,a89),f909(x102661,f910(a902,a313)),f909(a89,a89),f909(f910(a89,f910(a898,f906(f905(x102661)))),f909(a89,a89))),f317(x102662,x102663)),f317(f317(f10(f910(f910(a89,f910(a898,f906(f905(x102661)))),f910(f909(a89,a89),f909(f910(a89,f910(a898,f906(f905(x102661)))),f909(a89,a89)))),f910(f909(a89,a89),f909(f910(a89,f910(a898,f906(f905(x102661)))),f909(a89,a89))),f909(x102661,f910(a902,a313))),f317(f249(f909(a89,a89),f910(a89,f910(a898,f906(f905(x102661)))),f909(a89,a89),f909(f910(a89,f910(a898,f906(f905(x102661)))),f909(a89,a89))),f267(x102661,x102662,f317(f317(f3(a89),x102664),f72(a89)),x102663))),f317(f317(f10(f910(f910(a89,f910(a898,f906(f905(x102661)))),f910(a89,f910(a898,f906(f905(x102661))))),f910(f910(a89,f910(a898,f906(f905(x102661)))),f910(f909(a89,a89),f909(f910(a89,f910(a898,f906(f905(x102661)))),f909(a89,a89)))),f909(x102661,f910(a902,a313))),f317(f10(f910(a89,f910(a898,f906(f905(x102661)))),f910(f909(a89,a89),f909(f910(a89,f910(a898,f906(f905(x102661)))),f909(a89,a89))),f910(a89,f910(a898,f906(f905(x102661))))),f242(f910(a89,f910(a898,f906(f905(x102661)))),f909(a89,a89)))),f317(f317(f10(f910(a89,f910(a898,f906(f905(x102661)))),f910(f910(a89,f910(a898,f906(f905(x102661)))),f910(a89,f910(a898,f906(f905(x102661))))),f909(x102661,f910(a902,a313))),f40(x102661)),f317(f317(f10(x102661,f910(a89,f910(a898,f906(f905(x102661)))),f909(x102661,f910(a902,a313))),f38(x102661)),f241(x102661,f910(a902,a313))))))),f267(x102661,x102662,x102664,x102663))
% 192.07/191.93 [10330]~P2(f317(f317(f319(x103302),x103304),f317(f274(x103301,x103302),x103303)))+P2(f317(f240(x103301,x103302,f317(f317(f9(x103301,f910(f909(x103301,x103302),a898),f910(x103302,a898)),f317(f317(f10(f910(x103302,f910(f910(f909(x103301,x103302),a898),a898)),f910(f910(f909(x103301,x103302),a898),f910(x103302,a898)),x103301),f9(x103302,f910(f909(x103301,x103302),a898),a898)),f317(f317(f10(f910(x103302,f909(x103301,x103302)),f910(x103302,f910(f910(f909(x103301,x103302),a898),a898)),x103301),f317(f10(f909(x103301,x103302),f910(f910(f909(x103301,x103302),a898),a898),x103302),f319(f909(x103301,x103302)))),f242(x103301,x103302)))),x103303)),x103304))
% 192.07/191.93 [10331]~P2(f317(f317(f319(x103311),x103314),f317(f254(x103311,x103312),x103313)))+P2(f317(f239(x103311,x103312,f317(f317(f9(x103311,f910(f909(x103311,x103312),a898),f910(x103312,a898)),f317(f317(f10(f910(x103312,f910(f910(f909(x103311,x103312),a898),a898)),f910(f910(f909(x103311,x103312),a898),f910(x103312,a898)),x103311),f9(x103312,f910(f909(x103311,x103312),a898),a898)),f317(f317(f10(f910(x103312,f909(x103311,x103312)),f910(x103312,f910(f910(f909(x103311,x103312),a898),a898)),x103311),f317(f10(f909(x103311,x103312),f910(f910(f909(x103311,x103312),a898),a898),x103312),f319(f909(x103311,x103312)))),f242(x103311,x103312)))),x103313)),x103314))
% 192.07/191.93 [10343]P2(f317(f317(f319(x103431),x103432),f317(f274(x103433,x103431),x103434)))+~P2(f317(f240(x103433,x103431,f317(f317(f9(x103433,f910(f909(x103433,x103431),a898),f910(x103431,a898)),f317(f317(f10(f910(x103431,f910(f910(f909(x103433,x103431),a898),a898)),f910(f910(f909(x103433,x103431),a898),f910(x103431,a898)),x103433),f9(x103431,f910(f909(x103433,x103431),a898),a898)),f317(f317(f10(f910(x103431,f909(x103433,x103431)),f910(x103431,f910(f910(f909(x103433,x103431),a898),a898)),x103433),f317(f10(f909(x103433,x103431),f910(f910(f909(x103433,x103431),a898),a898),x103431),f319(f909(x103433,x103431)))),f242(x103433,x103431)))),x103434)),x103432))
% 192.07/191.93 [10344]P2(f317(f317(f319(x103441),x103442),f317(f254(x103441,x103443),x103444)))+~P2(f317(f239(x103441,x103443,f317(f317(f9(x103441,f910(f909(x103441,x103443),a898),f910(x103443,a898)),f317(f317(f10(f910(x103443,f910(f910(f909(x103441,x103443),a898),a898)),f910(f910(f909(x103441,x103443),a898),f910(x103443,a898)),x103441),f9(x103443,f910(f909(x103441,x103443),a898),a898)),f317(f317(f10(f910(x103443,f909(x103441,x103443)),f910(x103443,f910(f910(f909(x103441,x103443),a898),a898)),x103441),f317(f10(f909(x103441,x103443),f910(f910(f909(x103441,x103443),a898),a898),x103443),f319(f909(x103441,x103443)))),f242(x103441,x103443)))),x103444)),x103442))
% 192.07/191.93 [9999]P2(f317(f150(x99991,x99992),x99993))+~P2(f317(f150(x99991,f317(f317(f20(x99991,a898,a898),f317(f317(f10(a898,f910(a898,a898),x99991),a315),x99994)),x99992)),x99993))
% 192.07/191.93 [10000]P2(f317(f150(x100001,x100002),x100003))+~P2(f317(f150(x100001,f317(f317(f20(x100001,a898,a898),f317(f317(f10(a898,f910(a898,a898),x100001),a315),x100002)),x100004)),x100003))
% 192.07/191.93 [10087]~P118(x100871)+E(f317(f317(f75(x100871),f317(f317(f74(x100871),f72(x100871)),f72(x100871))),f317(f317(f8(a903,x100871),f317(f317(f10(x100871,x100871,a903),f317(f74(x100871),x100872)),f317(f317(f9(a903,x100871,x100871),f317(f317(f10(x100871,f910(x100871,x100871),a903),f75(x100871)),f90(x100871))),x100873))),f317(f272(a903),x100874))),f317(f317(f75(x100871),f317(f90(x100871),x100874)),f317(f317(f74(x100871),x100872),f317(f317(f74(x100871),x100872),f317(f317(f75(x100871),f317(f90(x100871),f317(f317(f3(a903),x100874),f72(a903)))),x100873)))))
% 192.07/191.93 [10227]P2(f317(x102271,f561(x102272,x102273,x102274,x102271)))+P37(x102272,f317(f252(f909(x102272,x102272)),f317(f247(x102272,x102272,a898),f317(f317(f10(f910(x102272,a898),f910(x102272,a898),x102272),f317(f20(x102272,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102272),a315),x102271))),f317(f317(f9(x102272,f910(x102272,x102272),f910(x102272,a898)),f317(f317(f10(f910(x102272,a898),f910(f910(x102272,x102272),f910(x102272,a898)),x102272),f10(x102272,a898,x102272)),a314)),x102273)))))
% 192.07/191.93 [10241]~P2(f317(f317(f227(a903),f317(x102414,f317(x102413,f561(x102411,x102413,x102414,x102412)))),f317(x102414,f561(x102411,x102413,x102414,x102412))))+P37(x102411,f317(f252(f909(x102411,x102411)),f317(f247(x102411,x102411,a898),f317(f317(f10(f910(x102411,a898),f910(x102411,a898),x102411),f317(f20(x102411,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102411),a315),x102412))),f317(f317(f9(x102411,f910(x102411,x102411),f910(x102411,a898)),f317(f317(f10(f910(x102411,a898),f910(f910(x102411,x102411),f910(x102411,a898)),x102411),f10(x102411,a898,x102411)),a314)),x102413)))))
% 192.07/191.93 [10317]~P6(x103171)+E(f32(x103171,f317(f252(x103171),f317(f317(f10(f910(f910(x103172,x103171),a898),a898,x103171),f81(f910(x103172,x103171))),f317(f317(f10(f910(f910(x103172,x103171),a898),f910(f910(x103172,x103171),a898),x103171),f317(f20(f910(x103172,x103171),a898,a898),f317(f317(f10(a898,f910(a898,a898),f910(x103172,x103171)),a315),f317(f317(f9(f910(x103172,x103171),f910(f910(x103172,x103171),a898),a898),f319(f910(x103172,x103171))),x103173)))),f317(f317(f9(x103171,f910(f910(x103172,x103171),x103171),f910(f910(x103172,x103171),a898)),f317(f317(f10(f910(x103171,a898),f910(f910(f910(x103172,x103171),x103171),f910(f910(x103172,x103171),a898)),x103171),f10(x103171,a898,f910(x103172,x103171))),a314)),f317(f317(f9(f910(x103172,x103171),x103172,x103171),f7(f910(x103172,x103171))),x103174)))))),f317(f32(f910(x103172,x103171),x103173),x103174))
% 192.07/191.93 [10318]~P6(x103181)+E(f32(x103181,f317(f252(x103181),f317(f317(f10(f910(f910(x103182,x103181),a898),a898,x103181),f81(f910(x103182,x103181))),f317(f317(f10(f910(f910(x103182,x103181),a898),f910(f910(x103182,x103181),a898),x103181),f317(f20(f910(x103182,x103181),a898,a898),f317(f317(f10(a898,f910(a898,a898),f910(x103182,x103181)),a315),f317(f317(f9(f910(x103182,x103181),f910(f910(x103182,x103181),a898),a898),f319(f910(x103182,x103181))),x103183)))),f317(f317(f9(x103181,f910(f910(x103182,x103181),x103181),f910(f910(x103182,x103181),a898)),f317(f317(f10(f910(x103181,a898),f910(f910(f910(x103182,x103181),x103181),f910(f910(x103182,x103181),a898)),x103181),f10(x103181,a898,f910(x103182,x103181))),a314)),f317(f317(f9(f910(x103182,x103181),x103182,x103181),f7(f910(x103182,x103181))),x103184)))))),f317(f32(f910(x103182,x103181),x103183),x103184))
% 192.07/191.93 [10319]~P6(x103191)+E(f33(x103191,f317(f252(x103191),f317(f317(f10(f910(f910(x103192,x103191),a898),a898,x103191),f81(f910(x103192,x103191))),f317(f317(f10(f910(f910(x103192,x103191),a898),f910(f910(x103192,x103191),a898),x103191),f317(f20(f910(x103192,x103191),a898,a898),f317(f317(f10(a898,f910(a898,a898),f910(x103192,x103191)),a315),f317(f317(f9(f910(x103192,x103191),f910(f910(x103192,x103191),a898),a898),f319(f910(x103192,x103191))),x103193)))),f317(f317(f9(x103191,f910(f910(x103192,x103191),x103191),f910(f910(x103192,x103191),a898)),f317(f317(f10(f910(x103191,a898),f910(f910(f910(x103192,x103191),x103191),f910(f910(x103192,x103191),a898)),x103191),f10(x103191,a898,f910(x103192,x103191))),a314)),f317(f317(f9(f910(x103192,x103191),x103192,x103191),f7(f910(x103192,x103191))),x103194)))))),f317(f33(f910(x103192,x103191),x103193),x103194))
% 192.07/191.93 [10320]~P6(x103201)+E(f33(x103201,f317(f252(x103201),f317(f317(f10(f910(f910(x103202,x103201),a898),a898,x103201),f81(f910(x103202,x103201))),f317(f317(f10(f910(f910(x103202,x103201),a898),f910(f910(x103202,x103201),a898),x103201),f317(f20(f910(x103202,x103201),a898,a898),f317(f317(f10(a898,f910(a898,a898),f910(x103202,x103201)),a315),f317(f317(f9(f910(x103202,x103201),f910(f910(x103202,x103201),a898),a898),f319(f910(x103202,x103201))),x103203)))),f317(f317(f9(x103201,f910(f910(x103202,x103201),x103201),f910(f910(x103202,x103201),a898)),f317(f317(f10(f910(x103201,a898),f910(f910(f910(x103202,x103201),x103201),f910(f910(x103202,x103201),a898)),x103201),f10(x103201,a898,f910(x103202,x103201))),a314)),f317(f317(f9(f910(x103202,x103201),x103202,x103201),f7(f910(x103202,x103201))),x103204)))))),f317(f33(f910(x103202,x103201),x103203),x103204))
% 192.07/191.93 [10369]~P2(f317(f317(f319(f909(x103691,x103691)),f317(f317(f242(x103691,x103691),x103693),x103694)),f317(f317(f100(f910(f909(x103691,x103691),a898)),x103692),f297(x103691,f178(f910(f909(x103691,x103691),a898))))))+P2(f317(f317(f317(f317(f100(f910(x103691,f910(x103691,a898))),f317(f317(f9(x103691,f910(f909(x103691,x103691),a898),f910(x103691,a898)),f317(f317(f10(f910(x103691,f910(f910(f909(x103691,x103691),a898),a898)),f910(f910(f909(x103691,x103691),a898),f910(x103691,a898)),x103691),f9(x103691,f910(f909(x103691,x103691),a898),a898)),f317(f317(f10(f910(x103691,f909(x103691,x103691)),f910(x103691,f910(f910(f909(x103691,x103691),a898),a898)),x103691),f317(f10(f909(x103691,x103691),f910(f910(f909(x103691,x103691),a898),a898),x103691),f319(f909(x103691,x103691)))),f242(x103691,x103691)))),x103692)),a314),x103693),x103694))
% 192.07/191.93 [10379]P2(f317(f317(f319(f909(x103791,x103791)),f317(f317(f242(x103791,x103791),x103792),x103793)),f317(f317(f100(f910(f909(x103791,x103791),a898)),x103794),f297(x103791,f178(f910(f909(x103791,x103791),a898))))))+~P2(f317(f317(f317(f317(f100(f910(x103791,f910(x103791,a898))),f317(f317(f9(x103791,f910(f909(x103791,x103791),a898),f910(x103791,a898)),f317(f317(f10(f910(x103791,f910(f910(f909(x103791,x103791),a898),a898)),f910(f910(f909(x103791,x103791),a898),f910(x103791,a898)),x103791),f9(x103791,f910(f909(x103791,x103791),a898),a898)),f317(f317(f10(f910(x103791,f909(x103791,x103791)),f910(x103791,f910(f910(f909(x103791,x103791),a898),a898)),x103791),f317(f10(f909(x103791,x103791),f910(f910(f909(x103791,x103791),a898),a898),x103791),f319(f909(x103791,x103791)))),f242(x103791,x103791)))),x103794)),a314),x103792),x103793))
% 192.07/191.93 [10327]E(f317(f317(f141(f904(x103271)),f317(f317(f141(x103271),x103272),f317(f132(f904(x103271),f904(x103271),f124(x103271),f103(x103271)),f317(f317(f144(f904(x103271),f904(x103271)),f146(f904(x103271),x103271,f103(x103271),f317(f317(f10(f904(x103271),f910(f904(x103271),f904(x103271)),x103271),f18(f904(x103271),f904(x103271))),f317(f317(f9(x103271,f904(x103271),f904(x103271)),f141(x103271)),f103(x103271))))),x103273)))),f169(x103271,f317(f317(f141(f904(x103271)),x103274),f317(f132(f904(f904(x103271)),f904(f904(x103271)),f124(f904(x103271)),f103(f904(x103271))),f317(f317(f144(f904(x103271),f904(f904(x103271))),f146(f904(f904(x103271)),x103271,f103(f904(x103271)),f317(f18(f910(f904(x103271),f904(f904(x103271))),x103271),f317(f317(f9(f904(x103271),f904(f904(x103271)),f904(f904(x103271))),f141(f904(x103271))),f103(f904(x103271)))))),x103273))))),f169(x103271,f317(f317(f141(f904(x103271)),f317(f317(f141(x103271),x103272),x103274)),x103273)))+~P2(f317(f305(f904(f904(x103271)),f170(x103271)),f317(f317(f141(f904(x103271)),f317(f317(f141(x103271),x103272),x103274)),x103273)))
% 192.07/191.93 [10368]~P2(f317(f29(x103682),f317(f252(x103682),x103684)))+P2(f317(f29(x103681),f317(f252(x103681),f317(f317(f10(f910(x103682,a898),a898,x103681),f81(x103682)),f317(f317(f9(x103681,f910(x103682,a898),f910(x103682,a898)),f317(f317(f10(f910(x103682,f910(a898,a898)),f910(f910(x103682,a898),f910(x103682,a898)),x103681),f20(x103682,a898,a898)),f317(f317(f10(f910(x103682,a898),f910(x103682,f910(a898,a898)),x103681),f317(f10(a898,f910(a898,a898),x103682),a315)),f317(f317(f9(x103681,f910(x103682,x103681),f910(x103682,a898)),f317(f317(f10(f910(x103681,a898),f910(f910(x103682,x103681),f910(x103682,a898)),x103681),f10(x103681,a898,x103682)),a314)),x103683)))),x103684)))))
% 192.07/191.93 [8881]P25(x88811,x88812,x88813,x88814)+~P26(x88811,x88812,x88813,x88814,x88815)
% 192.07/191.93 [5338]E(x53381,x53382)+~E(f159(x53383,x53381,x53384),f159(x53383,x53382,x53385))
% 192.07/191.93 [5339]E(x53391,x53392)+~E(f116(x53393,x53394,x53391),f116(x53393,x53395,x53392))
% 192.07/191.93 [5340]E(x53401,x53402)+~E(f116(x53403,x53401,x53404),f116(x53403,x53402,x53405))
% 192.07/191.93 [8207]~E(f317(x82073,x82074),x82075)+E(f69(x82071,x82072,x82073,x82074,x82075),x82073)
% 192.07/191.93 [8739]~E(f69(x87394,x87395,x87391,x87392,x87393),x87391)+E(f317(x87391,x87392),x87393)
% 192.07/191.93 [9355]~P26(x93552,x93551,x93554,x93553,x93555)+P26(x93551,x93552,f71(x93552,x93551,x93553,x93554),x93555,x93553)
% 192.07/191.93 [9356]~P26(x93562,x93561,x93564,x93563,x93565)+P26(x93561,x93562,f85(x93562,x93561,x93563,x93564),x93565,x93563)
% 192.07/191.93 [6162]P2(f317(f240(x61621,x61622,x61623),x61624))+~P2(f317(f317(x61623,x61625),x61624))
% 192.07/191.93 [6164]P2(f317(f239(x61641,x61642,x61643),x61644))+~P2(f317(f317(x61643,x61644),x61645))
% 192.07/191.93 [6652]~E(x66525,f2(a89))+E(f317(f188(x66521,x66522,x66523,x66524),x66525),f105(x66522))
% 192.07/191.93 [6653]~E(x66535,f2(a89))+E(f317(f186(x66531,x66532,x66533,x66534),x66535),f114(x66532))
% 192.07/191.93 [6793]~E(x67933,f2(a89))+E(f317(f263(x67931,x67932,x67933,x67934),x67935),f317(f242(x67931,x67932),x67935))
% 192.07/191.93 [7856]~P21(x78564,x78561,x78562,x78565)+E(f317(f67(x78561,x78561,x78561,f317(x78562,x78563)),f317(x78562,x78563)),f317(x78562,x78563))
% 192.07/191.93 [8248]~P17(x82485,x82481,x82482)+E(f317(f67(x82481,x82481,x82481,f317(x82482,x82483)),f317(x82482,x82484)),f317(f67(x82481,x82481,x82481,f317(x82482,x82484)),f317(x82482,x82483)))
% 192.07/191.93 [8574]P2(f317(f317(f319(f909(x85741,x85741)),f317(f317(f242(x85741,x85741),x85742),x85743)),f311(x85741,x85744,x85745)))+~P2(f317(f317(f227(a903),f317(x85744,x85742)),f317(x85744,x85743)))
% 192.07/191.93 [8667]~P2(f317(f317(f319(x86674),x86673),f289(x86674,x86671,x86672,x86675)))+P2(f317(f317(x86671,x86672),x86673))
% 192.07/191.93 [8668]~P2(f317(f317(f319(x86684),x86683),f280(x86684,x86681,x86682,x86685)))+P2(f317(f317(x86681,x86682),x86683))
% 192.07/191.93 [8669]~P2(f317(f317(f319(x86694),x86692),f289(x86694,x86691,x86695,x86693)))+P2(f317(f317(x86691,x86692),x86693))
% 192.07/191.93 [8670]~P2(f317(f317(f319(x86704),x86702),f280(x86704,x86701,x86705,x86703)))+P2(f317(f317(x86701,x86702),x86703))
% 192.07/191.93 [8751]~P26(x87511,x87513,x87515,x87512,x87514)+E(f317(f30(x87511),x87512),f317(f30(x87513),x87514))
% 192.07/191.93 [8799]~P26(x87991,x87992,x87993,x87994,x87995)+E(f317(f300(x87991,x87992,x87993),x87994),x87995)
% 192.07/191.93 [8819]~P56(x88192,x88191,x88195,x88193,x88194)+E(f317(f300(x88191,x88192,x88193),x88194),f232(f910(x88192,a898)))
% 192.07/191.93 [9263]~P34(x92631,x92632,x92633,x92634,x92635)+P34(x92631,x92632,x92633,f317(f158(x92631),x92634),f317(f158(x92632),x92635))
% 192.07/191.93 [9265]~P34(x92651,x92652,x92653,f317(f158(x92651),x92654),x92655)+P34(x92651,x92652,x92653,x92654,f317(f158(x92652),x92655))
% 192.07/191.93 [9266]~P34(x92661,x92662,x92663,x92664,f317(f158(x92662),x92665))+P34(x92661,x92662,x92663,f317(f158(x92661),x92664),x92665)
% 192.07/191.93 [9272]P34(x92721,x92722,x92723,x92724,x92725)+~P34(x92721,x92722,x92723,f317(f158(x92721),x92724),f317(f158(x92722),x92725))
% 192.07/191.93 [9686]P2(f317(f317(f319(f909(f904(x96861),f904(x96861))),f317(f317(f242(f904(x96861),f904(x96861)),f317(f317(f124(x96861),x96862),x96863)),f317(f317(f124(x96861),x96862),x96864))),f137(x96861,x96865)))+~P2(f317(f317(f319(f909(f904(x96861),f904(x96861))),f317(f317(f242(f904(x96861),f904(x96861)),x96863),x96864)),f137(x96861,x96865)))
% 192.07/191.93 [9687]P2(f317(f317(f319(f909(f904(x96871),f904(x96871))),f317(f317(f242(f904(x96871),f904(x96871)),f317(f317(f141(x96871),x96872),x96873)),f317(f317(f141(x96871),x96872),x96874))),f147(x96871,x96875)))+~P2(f317(f317(f319(f909(f904(x96871),f904(x96871))),f317(f317(f242(f904(x96871),f904(x96871)),x96873),x96874)),f147(x96871,x96875)))
% 192.07/191.93 [9884]E(f317(f317(f141(x98841),f575(x98842,x98843,x98844,x98845,x98841)),f578(x98842,x98843,x98844,x98845,x98841)),x98845)+~P2(f317(f317(f319(f909(f904(x98841),f904(x98841))),f317(f317(f242(f904(x98841),f904(x98841)),x98845),f317(f317(f141(x98841),x98844),x98843))),f148(x98841,x98842)))
% 192.07/191.93 [9905]E(f317(f317(f141(x99051),f576(x99052,x99053,x99054,x99055,x99051)),f577(x99052,x99053,x99054,x99055,x99051)),x99053)+~P2(f317(f317(f319(f909(f904(x99051),f904(x99051))),f317(f317(f242(f904(x99051),f904(x99051)),f317(f317(f141(x99051),x99055),x99054)),x99053)),f148(x99051,x99052)))
% 192.07/191.93 [10049]~P2(f317(f317(f319(f909(f904(x100491),f904(x100491))),f317(f317(f242(f904(x100491),f904(x100491)),f317(f317(f141(x100491),x100495),x100492)),x100494)),f148(x100491,x100493)))+P2(f317(f317(f319(f909(f904(x100491),f904(x100491))),f317(f317(f242(f904(x100491),f904(x100491)),x100492),f577(x100493,x100494,x100492,x100495,x100491))),f148(x100491,x100493)))
% 192.07/191.93 [10130]~P2(f317(f317(f319(f909(f904(x101301),f904(x101301))),f317(f317(f242(f904(x101301),f904(x101301)),x101305),f317(f317(f141(x101301),x101304),x101303))),f148(x101301,x101302)))+P2(f317(f317(f319(f909(f904(x101301),f904(x101301))),f317(f317(f242(f904(x101301),f904(x101301)),f578(x101302,x101303,x101304,x101305,x101301)),x101303)),f148(x101301,x101302)))
% 192.07/191.93 [10321]P2(f317(f317(f319(f909(x103211,x103211)),f317(f317(f242(x103211,x103211),f317(x103212,f317(f317(f74(a903),x103213),x103214))),f317(x103212,x103213))),f297(x103211,x103215)))+~P2(f317(f317(f319(f909(x103211,x103211)),f317(f317(f242(x103211,x103211),f317(x103212,f317(a102,f708(x103214,x103213,x103215,x103212,x103211)))),f317(x103212,f708(x103214,x103213,x103215,x103212,x103211)))),f297(x103211,x103215)))
% 192.07/191.93 [5312]E(x53121,x53122)+~E(f317(f317(f141(x53123),x53124),x53121),f317(f317(f141(x53123),x53125),x53122))
% 192.07/191.93 [5313]E(x53131,x53132)+~E(f317(f317(f141(x53133),x53131),x53134),f317(f317(f141(x53133),x53132),x53135))
% 192.07/191.93 [5355]P2(f317(x53551,x53552))+~E(f317(f126(x53553,x53551),x53554),f317(f317(f141(x53553),x53552),x53555))
% 192.07/191.93 [5356]P2(f317(x53561,x53562))+~E(f317(f317(f141(x53563),x53562),x53564),f317(f126(x53563,x53561),x53565))
% 192.07/191.93 [5519]~E(f317(f317(f128(x55191),x55193),x55192),f317(f317(f141(x55191),x55194),x55195))+E(f317(f317(f154(x55191),x55192),x55193),x55194)
% 192.07/191.93 [5660]~P15(x56604,x56605,x56601)+E(f317(f317(x56601,x56602),f317(f317(x56601,x56602),x56603)),f317(f317(x56601,x56602),x56603))
% 192.07/191.93 [6221]~E(x62214,f2(a89))+E(f317(f317(f107(x62211,x62212,x62213),x62214),x62215),f317(f317(f242(f904(x62212),x62211),f103(x62212)),x62215))
% 192.07/191.93 [6295]~P108(x62952)+~E(f317(f317(f138(x62951,x62952,x62953),x62954),x62955),f103(x62951))
% 192.07/191.93 [6693]E(x66931,x66932)+~E(f317(f317(f124(x66933),x66934),f317(f317(f141(x66933),x66931),f103(x66933))),f317(f317(f124(x66933),x66935),f317(f317(f141(x66933),x66932),f103(x66933))))
% 192.07/191.93 [6694]E(x66941,x66942)+~E(f317(f317(f124(x66943),x66941),f317(f317(f141(x66943),x66944),f103(x66943))),f317(f317(f124(x66943),x66942),f317(f317(f141(x66943),x66945),f103(x66943))))
% 192.07/191.93 [7017]E(f317(f317(f299(x70171),f317(x70172,x70173)),f317(f300(x70174,x70171,x70172),x70175)),f317(f300(x70174,x70171,x70172),x70175))+~P2(f317(f317(f319(x70174),x70173),x70175))
% 192.07/191.93 [7024]~P2(f317(x70244,f317(x70243,x70245)))+P2(f317(f317(f301(x70241,x70242,x70243),x70244),x70245))
% 192.07/191.93 [7027]~P2(f317(f317(x70273,x70275),x70274))+P2(f317(f317(f233(x70271,x70272,x70273),x70274),x70275))
% 192.07/191.93 [7124]~E(f317(f300(x71241,x71242,x71243),x71244),x71245)+E(f317(f300(f910(x71241,a898),f910(x71242,a898),f300(x71241,x71242,x71243)),f317(f298(x71241),x71244)),f317(f298(x71242),x71245))
% 192.07/191.93 [7152]E(f317(f261(x71521,x71522,x71523,x71524),x71525),f317(x71524,x71525))+~P2(f317(f317(f319(x71521),x71525),x71523))
% 192.07/191.93 [7466]P25(x74661,x74662,x74663,x74664)+~P25(x74661,x74662,x74663,f317(f317(f299(x74661),x74665),x74664))
% 192.07/191.93 [7571]~P2(f317(f317(f319(x75714),x75713),x75715))+P2(f317(f317(f319(x75711),f317(x75712,x75713)),f317(f300(x75714,x75711,x75712),x75715)))
% 192.07/191.93 [7592]~P108(x75922)+E(f140(x75921,x75922,x75923,f317(f126(x75921,x75924),x75925)),f317(f126(x75921,x75924),f140(x75921,x75922,x75923,x75925)))
% 192.07/191.93 [7623]P2(f317(x76231,f317(x76232,x76233)))+~P2(f317(f317(f301(x76234,x76235,x76232),x76231),x76233))
% 192.07/191.93 [7626]P2(f317(f317(x76261,x76262),x76263))+~P2(f317(f317(f233(x76264,x76265,x76261),x76263),x76262))
% 192.07/191.93 [7691]~P2(f317(f317(f319(x76913),f317(x76914,x76912)),x76915))+P2(f317(f317(f319(x76911),x76912),f317(f301(x76911,x76913,x76914),x76915)))
% 192.07/191.93 [8089]~P2(f317(f317(f319(x80895),x80893),f317(f301(x80895,x80891,x80892),x80894)))+P2(f317(f317(f319(x80891),f317(x80892,x80893)),x80894))
% 192.07/191.93 [8388]~P17(x83882,x83881,x83883)+E(f317(f132(x83881,x83882,f317(f9(x83882,x83881,x83881),x83883),x83884),f142(x83882,x83885)),f317(f317(f59(x83882,x83881,x83883),x83884),f317(f162(x83882),x83885)))
% 192.07/191.93 [8410]E(f317(x84101,f877(x84102,x84101,x84103,x84104)),x84104)+~P2(f317(f317(f319(x84105),x84104),f317(f300(x84103,x84105,x84101),x84102)))
% 192.07/191.93 [8714]~E(x87142,f317(f317(f141(x87141),x87144),x87145))+P2(f317(f317(f319(f909(f904(x87141),f904(x87141))),f317(f317(f242(f904(x87141),f904(x87141)),f103(x87141)),x87142)),f137(x87141,x87143)))
% 192.07/191.93 [8760]E(f317(x87601,f317(f85(x87602,x87603,x87604,x87601),x87605)),x87605)+~P2(f317(f317(f319(x87603),x87605),f317(f300(x87602,x87603,x87601),x87604)))
% 192.07/191.93 [8763]P25(x87631,x87632,f85(x87632,x87631,x87633,x87634),x87635)+~P2(f317(f317(f226(f910(x87631,a898)),x87635),f317(f300(x87632,x87631,x87634),x87633)))
% 192.07/191.93 [8770]~P34(x87701,x87703,x87705,x87702,x87704)+E(f317(f179(f904(x87701)),x87702),f317(f179(f904(x87703)),x87704))
% 192.07/191.93 [8781]P2(f317(f317(f226(f910(x87811,a898)),f317(f317(f35(x87812,f910(x87811,a898)),x87813),x87814)),f317(x87814,x87815)))+~P2(f317(f317(f319(x87812),x87815),x87813))
% 192.07/191.93 [8835]~P56(x88351,x88352,x88353,x88355,x88354)+E(f317(f300(x88351,x88352,x88353),f232(f910(x88351,a898))),x88354)
% 192.07/191.93 [9060]E(f317(f126(x90601,x90602),f684(x90603,x90604,x90605,x90602,x90601)),x90603)+~E(f317(f126(x90601,x90602),x90605),f317(f317(f141(x90601),x90604),x90603))
% 192.07/191.93 [9061]E(f317(f126(x90611,x90612),f686(x90613,x90612,x90614,x90615,x90611)),x90614)+~E(f317(f317(f141(x90611),x90615),x90614),f317(f126(x90611,x90612),x90613))
% 192.07/191.93 [9152]E(f317(f179(f904(x91521)),x91522),x91523)+~P2(f317(f317(f319(f909(f904(x91521),f904(x91521))),f317(f317(f242(f904(x91521),f904(x91521)),x91524),x91522)),f317(f133(x91521,x91525),x91523)))
% 192.07/191.93 [9153]E(f317(f179(f904(x91531)),x91532),x91533)+~P2(f317(f317(f319(f909(f904(x91531),f904(x91531))),f317(f317(f242(f904(x91531),f904(x91531)),x91532),x91534)),f317(f133(x91531,x91535),x91533)))
% 192.07/191.93 [9222]P2(f317(f317(f319(x92221),f877(x92222,x92223,x92221,x92224)),x92222))+~P2(f317(f317(f319(x92225),x92224),f317(f300(x92221,x92225,x92223),x92222)))
% 192.07/191.93 [9382]E(f317(f300(x93821,x93822,x93823),f655(x93824,x93823,x93821,x93825,x93822)),x93825)+~P2(f317(f317(f226(f910(x93822,a898)),x93825),f317(f300(x93821,x93822,x93823),x93824)))
% 192.07/191.93 [9704]P2(f317(f317(f319(f909(f904(x97041),f904(x97041))),f317(f317(f242(f904(x97041),f904(x97041)),f317(f317(f141(x97041),x97042),x97043)),f317(f317(f141(x97041),x97042),x97044))),f297(f904(x97041),f147(x97041,x97045))))+~P2(f317(f317(f319(f909(f904(x97041),f904(x97041))),f317(f317(f242(f904(x97041),f904(x97041)),x97043),x97044)),f297(f904(x97041),f147(x97041,x97045))))
% 192.07/191.93 [9735]~E(f317(x97353,f610(x97355,x97354,x97353,x97352,x97351)),f317(x97355,f610(x97355,x97354,x97353,x97352,x97351)))+E(f317(f317(f144(x97351,x97352),x97353),x97354),f317(f317(f144(x97351,x97352),x97355),x97354))
% 192.07/191.93 [9810]~E(f317(f126(x98101,x98105),x98104),f317(f317(f141(x98101),x98103),x98102))+E(f317(f317(f124(x98101),f685(x98102,x98103,x98104,x98105,x98101)),f317(f317(f141(x98101),x98103),f684(x98102,x98103,x98104,x98105,x98101))),x98104)
% 192.07/191.93 [9811]~E(f317(f317(f141(x98111),x98115),x98114),f317(f126(x98111,x98113),x98112))+E(f317(f317(f124(x98111),f687(x98112,x98113,x98114,x98115,x98111)),f317(f317(f141(x98111),x98115),f686(x98112,x98113,x98114,x98115,x98111))),x98112)
% 192.07/191.93 [9815]E(f317(f317(f144(x98151,x98152),x98153),x98154),f317(f317(f144(x98151,x98152),x98155),x98154))+P2(f317(f317(f319(x98151),f610(x98153,x98154,x98155,x98152,x98151)),f317(f162(x98151),x98154)))
% 192.07/191.93 [9845]~P2(f317(f317(f319(x98455),x98454),f317(f275(x98451,x98455,x98453),x98452)))+P2(f317(f317(f319(x98451),f510(x98452,x98453,x98451,x98454,x98455)),x98452))
% 192.07/191.93 [9846]~P2(f317(f317(f319(x98465),x98464),f317(f275(x98461,x98465,x98463),x98462)))+P2(f317(f317(f319(x98461),f516(x98462,x98463,x98461,x98464,x98465)),x98462))
% 192.07/191.93 [9877]~P2(f317(f317(f226(f910(x98775,a898)),x98774),f317(f300(x98771,x98775,x98773),x98772)))+P2(f317(f317(f226(f910(x98771,a898)),f655(x98772,x98773,x98771,x98774,x98775)),x98772))
% 192.07/191.93 [10322]E(x103221,f2(a89))+E(f213(f909(f904(x103222),x103223),f909(x103222,x103223),f317(f317(f242(f904(x103222),x103223),f103(x103222)),x103224),f317(f247(x103222,x103223,f909(f904(x103222),x103223)),f317(f317(f9(x103222,f910(x103223,f909(f904(x103222),x103223)),f910(x103223,f909(f904(x103222),x103223))),f317(f317(f10(f910(f909(f904(x103222),x103223),f909(f904(x103222),x103223)),f910(f910(x103223,f909(f904(x103222),x103223)),f910(x103223,f909(f904(x103222),x103223))),x103222),f10(f909(f904(x103222),x103223),f909(f904(x103222),x103223),x103223)),f317(f317(f10(f910(f904(x103222),f910(x103223,f909(f904(x103222),x103223))),f910(f909(f904(x103222),x103223),f909(f904(x103222),x103223)),x103222),f247(f904(x103222),x103223,f909(f904(x103222),x103223))),f317(f317(f10(f910(f904(x103222),f904(x103222)),f910(f904(x103222),f910(x103223,f909(f904(x103222),x103223))),x103222),f317(f10(f904(x103222),f910(x103223,f909(f904(x103222),x103223)),f904(x103222)),f242(f904(x103222),x103223))),f141(x103222))))),f317(f107(x103223,x103222,x103225),f317(f317(f3(a89),x103221),f72(a89))))),f317(x103225,x103224)),f317(f317(f107(x103223,x103222,x103225),x103221),x103224))
% 192.07/191.93 [6099]E(x60991,x60992)+~E(f317(f246(x60993,x60994),f317(f317(f242(x60993,x60994),x60995),x60991)),x60992)
% 192.07/191.93 [6100]E(x61001,x61002)+~E(f317(f241(x61003,x61004),f317(f317(f242(x61003,x61004),x61001),x61005)),x61002)
% 192.07/191.93 [6371]~E(x63713,f317(f317(f124(x63711),x63714),f317(f317(f141(x63711),x63712),x63715)))+P2(f317(f317(f319(x63711),x63712),f317(f162(x63711),x63713)))
% 192.07/191.93 [6780]E(f317(f300(x67801,x67802,f317(f18(x67802,x67801),x67803)),x67804),f317(f317(f299(x67802),x67803),f178(f910(x67802,a898))))+~P2(f317(f317(f319(x67801),x67805),x67804))
% 192.07/191.93 [6855]E(f317(f317(f100(f910(x68551,a898)),f317(f162(x68551),x68552)),f317(f162(x68551),x68553)),f317(f162(x68551),x68554))+~E(f156(x68551,x68555,x68554),f317(f317(f242(f904(x68551),f904(x68551)),x68552),x68553))
% 192.07/191.93 [6956]~P108(x69562)+E(f317(f179(f904(x69561)),f317(f317(f138(x69561,x69562,x69563),x69564),x69565)),f317(a102,f317(f179(f904(x69561)),x69565)))
% 192.07/191.93 [6970]~P108(x69702)+E(f317(f162(x69701),f317(f317(f138(x69701,x69702,x69703),x69704),x69705)),f317(f317(f299(x69701),x69704),f317(f162(x69701),x69705)))
% 192.07/191.93 [7246]~P118(x72461)+E(f317(f317(f75(x72461),f317(f317(f75(x72461),x72462),x72463)),f317(f317(f75(x72461),x72464),x72465)),f317(f317(f75(x72461),f317(f317(f75(x72461),x72462),x72464)),f317(f317(f75(x72461),x72463),x72465)))
% 192.07/191.93 [7247]~P118(x72471)+E(f317(f317(f74(x72471),f317(f317(f74(x72471),x72472),x72473)),f317(f317(f74(x72471),x72474),x72475)),f317(f317(f74(x72471),f317(f317(f74(x72471),x72472),x72474)),f317(f317(f74(x72471),x72473),x72475)))
% 192.07/191.93 [7248]~P61(x72481)+E(f317(f317(f281(x72481),f317(f317(f75(x72481),x72482),x72483)),f317(f317(f75(x72481),x72484),x72485)),f317(f317(f75(x72481),f317(f317(f281(x72481),x72482),x72484)),f317(f317(f281(x72481),x72483),x72485)))
% 192.07/191.93 [7262]~P108(x72621)+E(f296(x72621,f317(f317(f225(x72621),x72622),x72623),f317(f317(f224(x72621),x72624),x72625)),f317(f317(f91(f910(x72621,a898)),f296(x72621,x72622,x72624)),f296(x72621,x72623,x72625)))
% 192.07/191.93 [7263]~P108(x72631)+E(f293(x72631,f317(f317(f225(x72631),x72632),x72633),f317(f317(f224(x72631),x72634),x72635)),f317(f317(f91(f910(x72631,a898)),f293(x72631,x72632,x72634)),f293(x72631,x72633,x72635)))
% 192.07/191.93 [7264]~P108(x72641)+E(f295(x72641,f317(f317(f225(x72641),x72642),x72643),f317(f317(f224(x72641),x72644),x72645)),f317(f317(f91(f910(x72641,a898)),f295(x72641,x72642,x72644)),f295(x72641,x72643,x72645)))
% 192.07/191.93 [7265]~P108(x72651)+E(f317(f317(f91(f910(x72651,a898)),f317(f292(x72651,x72652),x72653)),f317(f292(x72651,x72654),x72655)),f317(f292(x72651,f317(f317(f225(x72651),x72652),x72654)),f317(f317(f224(x72651),x72653),x72655)))
% 192.07/191.93 [7385]~P2(f317(x73851,f457(x73853,x73852,x73851)))+P2(f317(x73851,f317(f317(f242(x73852,x73853),x73854),x73855)))
% 192.07/191.93 [7497]~E(x74972,f317(x74974,x74975))+P2(f317(f317(f319(x74971),x74972),f317(f300(x74973,x74971,x74974),f232(f910(x74973,a898)))))
% 192.07/191.93 [7569]~P17(x75693,x75692,x75694)+P17(x75691,x75692,f317(f317(f10(x75693,f910(x75692,x75692),x75691),x75694),x75695))
% 192.07/191.93 [7570]~P15(x75703,x75702,x75704)+P15(x75701,x75702,f317(f317(f10(x75703,f910(x75702,x75702),x75701),x75704),x75705))
% 192.07/191.93 [7708]~P25(x77081,x77082,x77083,x77084)+P25(x77081,x77082,x77083,f317(f317(f3(f910(x77081,a898)),x77084),x77085))
% 192.07/191.93 [7865]~P2(f317(f317(x78653,x78654),x78655))+P2(f317(f317(f247(x78651,x78652,a898),x78653),f317(f317(f242(x78651,x78652),x78654),x78655)))
% 192.07/191.93 [7979]~P2(f317(x79792,x79794))+~E(f317(f317(f128(x79791),f317(f179(f904(x79791)),f167(x79791,x79792,x79793))),x79793),f317(f317(f141(x79791),x79794),x79795))
% 192.07/191.93 [7999]P25(x79991,x79992,x79993,x79994)+~P25(x79991,x79992,x79993,f317(f317(f100(f910(x79991,a898)),x79995),x79994))
% 192.07/191.93 [8000]P25(x80001,x80002,x80003,x80004)+~P25(x80001,x80002,x80003,f317(f317(f100(f910(x80001,a898)),x80004),x80005))
% 192.07/191.93 [8047]~P108(x80472)+E(f317(f317(f138(x80471,x80472,x80473),x80474),f140(x80471,x80472,x80473,x80475)),f140(x80471,x80472,x80473,f317(f317(f141(x80471),x80474),x80475)))
% 192.07/191.93 [8365]~P15(x83652,x83651,x83653)+E(f317(f132(x83651,x83652,f317(f9(x83652,x83651,x83651),x83653),x83654),x83655),f317(f317(f59(x83652,x83651,x83653),x83654),f317(f162(x83652),x83655)))
% 192.07/191.93 [8393]~E(f317(f317(f128(x83931),f317(f179(f904(x83931)),f167(x83931,x83932,x83933))),x83933),f317(f317(f141(x83931),x83934),x83935))+E(f317(f317(f124(x83931),f167(x83931,x83932,x83933)),f317(f317(f141(x83931),x83934),x83935)),x83933)
% 192.07/191.93 [8420]P2(f317(f317(x84201,x84202),x84203))+~P2(f317(f317(f247(x84204,x84205,a898),x84201),f317(f317(f242(x84204,x84205),x84202),x84203)))
% 192.07/191.93 [8898]P2(f317(f317(f226(f910(x88981,a898)),f317(f300(x88982,x88981,x88983),x88984)),f317(f300(x88982,x88981,x88983),x88985)))+~P2(f317(f317(f226(f910(x88982,a898)),x88984),x88985))
% 192.07/191.93 [8899]P2(f317(f317(f226(f910(x88991,a898)),f317(f301(x88991,x88992,x88993),x88994)),f317(f301(x88991,x88992,x88993),x88995)))+~P2(f317(f317(f226(f910(x88992,a898)),x88994),x88995))
% 192.07/191.93 [8978]E(x89781,f2(a89))+E(f317(f317(f249(x89782,x89783,x89782,f909(x89783,x89782)),f317(x89784,x89785)),f263(x89783,x89782,f317(f317(f3(a89),x89781),f72(a89)),x89784)),f317(f263(x89783,x89782,x89781,x89784),x89785))
% 192.07/191.93 [9085]P2(f317(f317(f245(x90851,x90852,a898,x90853),x90854),x90855))+~P2(f317(x90853,f317(f317(f242(x90851,x90852),x90854),x90855)))
% 192.07/191.93 [9361]~P2(f317(f317(f245(x93612,x93613,a898,x93611),x93614),x93615))+P2(f317(x93611,f317(f317(f242(x93612,x93613),x93614),x93615)))
% 192.07/191.93 [9546]~P2(f317(f317(f319(x95462),x95465),f317(f300(x95461,x95462,x95464),x95463)))+P2(f317(f317(f319(x95461),f317(f85(x95461,x95462,x95463,x95464),x95465)),x95463))
% 192.07/191.93 [9645]~P2(f317(f29(x96453),f317(f300(x96452,x96453,x96455),f232(f910(x96452,a898)))))+P2(f317(f29(x96451),f317(f300(x96452,x96451,f317(f317(f10(x96453,x96451,x96452),x96454),x96455)),f232(f910(x96452,a898)))))
% 192.07/191.93 [9671]P2(f317(f317(f226(f910(f910(x96711,a898),a898)),f317(f300(f910(x96712,a898),f910(x96711,a898),f300(x96712,x96711,x96713)),f317(f298(x96712),x96714))),f317(f298(x96711),x96715)))+~P2(f317(f317(f226(f910(x96711,a898)),f317(f300(x96712,x96711,x96713),x96714)),x96715))
% 192.07/191.93 [9743]E(x97431,x97432)+~P2(f317(f61(x97433,x97434,x97435,x97431,f178(f910(x97433,a898))),x97432))
% 192.07/191.93 [9759]E(f317(f317(f242(x97591,x97592),f548(x97593,x97594,x97595,x97592,x97591)),f549(x97593,x97594,x97595,x97592,x97591)),x97595)+~P2(f317(f317(f319(f909(x97591,x97592)),x97595),f317(f317(f244(x97591,x97592),x97594),x97593)))
% 192.07/191.93 [9851]P2(f317(f317(f319(x98511),f548(x98512,x98513,x98514,x98515,x98511)),x98513))+~P2(f317(f317(f319(f909(x98511,x98515)),x98514),f317(f317(f244(x98511,x98515),x98513),x98512)))
% 192.07/191.93 [9861]P2(f317(f317(f319(x98611),f392(x98612,x98613,x98614,x98615,x98611)),x98615))+P2(f317(f317(f226(f910(x98614,a898)),f317(f300(x98611,x98614,x98613),x98615)),x98612))
% 192.07/191.93 [10008]P2(f317(f317(f319(x100081),f549(x100082,x100083,x100084,x100081,x100085)),f317(x100082,f548(x100082,x100083,x100084,x100081,x100085))))+~P2(f317(f317(f319(f909(x100085,x100081)),x100084),f317(f317(f244(x100085,x100081),x100083),x100082)))
% 192.07/191.93 [10028]P2(f317(f317(f319(f909(x100281,x100281)),f317(f317(f242(x100281,x100281),x100282),f730(x100283,x100284,x100285,x100282,x100281))),x100283))+~P2(f317(f317(f319(f909(x100281,x100281)),f317(f317(f242(x100281,x100281),x100282),x100285)),f317(f317(f173(f909(x100281,x100281),a898),f317(a102,x100284)),x100283)))
% 192.07/191.93 [10029]P2(f317(f317(f319(f909(x100291,x100291)),f317(f317(f242(x100291,x100291),x100292),f731(x100293,x100294,x100295,x100292,x100291))),x100293))+~P2(f317(f317(f319(f909(x100291,x100291)),f317(f317(f242(x100291,x100291),x100292),x100295)),f317(f317(f173(f909(x100291,x100291),a898),f317(a102,x100294)),x100293)))
% 192.07/191.93 [10046]~P2(f317(f317(f319(f909(f904(x100461),f904(x100461))),f317(f317(f242(f904(x100461),f904(x100461)),f317(f317(f141(x100461),x100462),x100465)),x100464)),f148(x100461,x100463)))+P2(f317(f317(f319(f909(x100461,x100461)),f317(f317(f242(x100461,x100461),x100462),f576(x100463,x100464,x100465,x100462,x100461))),x100463))
% 192.07/191.93 [10068]~P2(f317(f317(f319(x100681),f317(x100683,f392(x100685,x100683,x100681,x100684,x100682))),x100685))+P2(f317(f317(f226(f910(x100681,a898)),f317(f300(x100682,x100681,x100683),x100684)),x100685))
% 192.07/191.93 [6451]P2(f317(x64512,x64514))+E(f167(x64511,x64512,f317(f317(f124(x64511),x64513),f317(f317(f141(x64511),x64514),x64515))),f167(x64511,x64512,x64513))
% 192.07/191.93 [6500]~P67(x65002)+E(f317(f317(f317(f3(f910(x65001,x65002)),x65003),x65004),x65005),f317(f317(f3(x65002),f317(x65003,x65005)),f317(x65004,x65005)))
% 192.07/191.93 [6502]~P102(x65022)+E(f317(f317(f317(f100(f910(x65021,x65022)),x65023),x65024),x65025),f317(f317(f100(x65022),f317(x65023,x65025)),f317(x65024,x65025)))
% 192.07/191.93 [6504]~P102(x65042)+E(f317(f317(f317(f91(f910(x65041,x65042)),x65043),x65044),x65045),f317(f317(f91(x65042),f317(x65043,x65045)),f317(x65044,x65045)))
% 192.07/191.93 [6524]E(x65241,x65242)+E(f317(f317(f154(x65243),f317(f317(f149(x65243,x65244),x65241),x65245)),x65242),f317(f317(f154(x65243),x65244),x65242))
% 192.07/191.93 [6799]~E(x67994,f178(f910(x67993,a898)))+E(f317(f317(f3(f910(x67991,a898)),x67992),f317(f317(f36(x67993,f910(x67991,a898)),x67994),x67995)),x67992)
% 192.07/191.93 [6800]~E(x68004,f178(f910(x68003,a898)))+E(f317(f317(f100(f910(x68001,a898)),x68002),f317(f317(f36(x68003,f910(x68001,a898)),x68004),x68005)),x68002)
% 192.07/191.93 [6801]~E(x68014,f178(f910(x68013,a898)))+E(f317(f317(f91(f910(x68011,a898)),x68012),f317(f317(f35(x68013,f910(x68011,a898)),x68014),x68015)),x68012)
% 192.07/191.93 [6817]~E(x68174,f178(f910(x68173,a898)))+E(f317(f317(f299(x68171),x68172),f317(f317(f36(x68173,f910(x68171,a898)),x68174),x68175)),f317(f317(f299(x68171),x68172),f178(f910(x68171,a898))))
% 192.07/191.93 [7615]E(f317(f317(f154(x76151),f317(f317(f144(x76152,x76151),x76153),x76154)),x76155),f317(x76153,f317(f317(f154(x76152),x76154),x76155)))+~P2(f317(f317(f227(a903),x76155),f317(f179(f904(x76152)),x76154)))
% 192.07/191.93 [7679]E(f317(f317(f100(f910(x76791,a898)),f317(x76792,x76793)),f317(f317(f36(x76794,f910(x76791,a898)),x76795),x76792)),f317(f317(f36(x76794,f910(x76791,a898)),x76795),x76792))+~P2(f317(f317(f319(x76794),x76793),x76795))
% 192.07/191.93 [7680]E(f317(f317(f91(f910(x76801,a898)),f317(x76802,x76803)),f317(f317(f35(x76804,f910(x76801,a898)),x76805),x76802)),f317(f317(f35(x76804,f910(x76801,a898)),x76805),x76802))+~P2(f317(f317(f319(x76804),x76803),x76805))
% 192.07/191.93 [8287]~E(x82873,f178(f910(x82871,a898)))+E(f317(f317(f36(x82871,f910(x82872,a898)),x82873),f317(f317(f10(f910(x82872,a898),f910(x82872,a898),x82871),f317(f299(x82872),x82874)),x82875)),f178(f910(x82872,a898)))
% 192.07/191.93 [8292]~P2(f317(f317(f319(x82924),x82923),x82925))+P2(f317(f317(f226(f910(x82921,a898)),f317(x82922,x82923)),f317(f317(f36(x82924,f910(x82921,a898)),x82925),x82922)))
% 192.07/191.93 [8419]~E(f317(x84194,x84192),x84195)+P2(f317(f317(f319(x84191),x84192),f317(f301(x84191,x84193,x84194),f317(f317(f299(x84193),x84195),f178(f910(x84193,a898))))))
% 192.07/191.93 [8466]~P54(x84661,x84662,f317(f276(x84662,x84661),x84663))+E(f317(f317(f91(f910(x84661,a898)),f317(f275(x84662,x84661,x84663),x84664)),f317(f275(x84662,x84661,x84663),x84665)),f317(f275(x84662,x84661,x84663),f317(f317(f91(f910(x84662,a898)),x84664),x84665)))
% 192.07/191.93 [8543]E(x85431,f2(a89))+E(f317(f108(x85432,x85433,f317(x85434,f317(f317(f3(a89),x85431),f72(a89)))),f317(f317(f9(x85432,a89,f905(x85433)),x85435),x85431)),f317(f188(x85432,x85433,x85434,x85435),x85431))
% 192.07/191.93 [8581]E(x85811,f178(f910(x85812,a898)))+E(f317(f317(f36(x85812,f910(x85813,a898)),x85811),f317(f317(f10(f910(x85813,a898),f910(x85813,a898),x85812),f317(f299(x85813),x85814)),x85815)),f317(f317(f299(x85813),x85814),f317(f317(f36(x85812,f910(x85813,a898)),x85811),x85815)))
% 192.07/191.93 [8632]~P25(x86322,x86321,x86323,f232(f910(x86322,a898)))+E(f317(f317(f3(f910(x86321,a898)),f317(f300(x86322,x86321,x86323),x86324)),f317(f300(x86322,x86321,x86323),x86325)),f317(f300(x86322,x86321,x86323),f317(f317(f3(f910(x86322,a898)),x86324),x86325)))
% 192.07/191.93 [8633]~P25(x86332,x86331,x86333,f232(f910(x86332,a898)))+E(f317(f317(f91(f910(x86331,a898)),f317(f300(x86332,x86331,x86333),x86334)),f317(f300(x86332,x86331,x86333),x86335)),f317(f300(x86332,x86331,x86333),f317(f317(f91(f910(x86332,a898)),x86334),x86335)))
% 192.07/191.93 [8701]~P2(f317(f317(f62(x87011,x87012,x87015),x87013),x87014))+P2(f317(f317(f319(f909(x87011,x87012)),f317(f317(f242(x87011,x87012),x87013),x87014)),x87015))
% 192.07/191.93 [8733]P2(f317(f317(f319(x87331),x87332),f317(f274(x87333,x87331),x87334)))+~P2(f317(f317(f319(f909(x87333,x87331)),f317(f317(f242(x87333,x87331),x87335),x87332)),x87334))
% 192.07/191.93 [8735]P2(f317(f317(f319(x87351),x87352),f317(f254(x87351,x87353),x87354)))+~P2(f317(f317(f319(f909(x87351,x87353)),f317(f317(f242(x87351,x87353),x87352),x87355)),x87354))
% 192.07/191.93 [8882]P2(f317(f317(f62(x88821,x88822,x88823),x88824),x88825))+~P2(f317(f317(f319(f909(x88821,x88822)),f317(f317(f242(x88821,x88822),x88824),x88825)),x88823))
% 192.07/191.93 [8921]E(f317(x89211,x89212),x89213)+~P2(f317(f317(f319(x89214),x89212),f317(f301(x89214,x89215,x89211),f317(f317(f299(x89215),x89213),f178(f910(x89215,a898))))))
% 192.07/191.93 [9149]P2(f317(f317(f319(f909(x91491,x91492)),f317(f317(f242(x91491,x91492),x91493),x91494)),f317(f276(x91492,x91491),x91495)))+~P2(f317(f317(f319(f909(x91492,x91491)),f317(f317(f242(x91492,x91491),x91494),x91493)),x91495))
% 192.07/191.93 [9167]~P2(f317(f317(x91671,x91675),x91674))+P2(f317(f317(x91671,f317(f246(x91672,x91673),f317(f317(f242(x91672,x91673),x91674),x91675))),f317(f241(x91672,x91673),f317(f317(f242(x91672,x91673),x91674),x91675))))
% 192.07/191.93 [9197]~P2(f317(f317(f319(f909(x91972,x91971)),f317(f317(f242(x91972,x91971),x91974),x91973)),f317(f276(x91971,x91972),x91975)))+P2(f317(f317(f319(f909(x91971,x91972)),f317(f317(f242(x91971,x91972),x91973),x91974)),x91975))
% 192.07/191.93 [9229]~P2(f317(f317(f319(f909(x92293,x92291)),f317(f317(f242(x92293,x92291),x92295),x92292)),x92294))+P2(f317(f317(f319(x92291),x92292),f317(f275(x92293,x92291,x92294),f317(f317(f299(x92293),x92295),f178(f910(x92293,a898))))))
% 192.07/191.93 [9276]P2(f317(f317(f319(f909(x92761,x92762)),f317(f317(f242(x92761,x92762),x92763),x92764)),x92765))+~P2(f317(f317(f319(x92762),x92764),f317(f275(x92761,x92762,x92765),f317(f317(f299(x92761),x92763),f178(f910(x92761,a898))))))
% 192.07/191.93 [9368]~P75(x93681)+E(f317(f317(f8(a903,x93681),x93682),f293(a903,f317(f317(f74(a903),x93683),x93684),f317(f317(f74(a903),x93685),x93684))),f317(f317(f8(a903,x93681),f317(f317(f10(a903,x93681,a903),x93682),f317(f317(f9(a903,a903,a903),f74(a903)),x93684))),f293(a903,x93683,x93685)))
% 192.07/191.93 [9387]~P75(x93871)+E(f317(f317(f8(a903,x93871),x93872),f317(f292(a903,f317(f317(f74(a903),x93873),x93874)),f317(f317(f74(a903),x93875),x93874))),f317(f317(f8(a903,x93871),f317(f317(f10(a903,x93871,a903),x93872),f317(f317(f9(a903,a903,a903),f74(a903)),x93874))),f317(f292(a903,x93873),x93875)))
% 192.07/191.93 [9446]~P25(x94461,x94462,x94463,f232(f910(x94461,a898)))+E(f317(f317(f144(x94461,x94462),x94463),f317(f126(x94461,f317(f317(f10(a898,a898,x94461),a312),f317(a314,x94464))),x94465)),f317(f126(x94462,f317(f317(f10(a898,a898,x94462),a312),f317(a314,f317(x94463,x94464)))),f317(f317(f144(x94461,x94462),x94463),x94465)))
% 192.07/191.93 [9464]~P25(x94641,x94642,x94643,f317(f317(f299(x94641),x94644),f317(f162(x94641),x94645)))+E(f317(f317(f144(x94641,x94642),x94643),f317(f126(x94641,f317(f317(f10(a898,a898,x94641),a312),f317(a314,x94644))),x94645)),f317(f126(x94642,f317(f317(f10(a898,a898,x94642),a312),f317(a314,f317(x94643,x94644)))),f317(f317(f144(x94641,x94642),x94643),x94645)))
% 192.07/191.93 [9633]P2(f317(f317(f319(f909(f904(x96331),f904(x96331))),f317(f317(f242(f904(x96331),f904(x96331)),f317(f317(f141(x96331),x96332),x96333)),f317(f317(f141(x96331),x96334),x96333))),f147(x96331,x96335)))+~P2(f317(f317(f319(f909(x96331,x96331)),f317(f317(f242(x96331,x96331),x96332),x96334)),x96335))
% 192.07/191.93 [9754]E(f317(f317(f299(x97541),f501(x97542,x97543,x97544,x97545,x97541)),f509(x97542,x97543,x97544,x97545,x97541)),f317(f317(f299(x97541),x97544),x97543))+~P2(f317(f57(x97541,x97545,f317(f317(f299(x97541),x97544),x97543)),x97542))
% 192.07/191.93 [9755]E(f317(f317(f299(x97551),f521(x97552,x97553,x97554,x97555,x97551)),f532(x97552,x97553,x97554,x97555,x97551)),f317(f317(f299(x97551),x97554),x97553))+~P2(f317(f57(x97551,x97555,f317(f317(f299(x97551),x97554),x97553)),x97552))
% 192.07/191.93 [9836]P2(f317(f317(f319(x98361),f496(x98362,x98363,x98364,x98365,x98361)),x98364))+P2(f317(f317(f317(f35(x98361,f910(x98365,a898)),x98364),x98363),x98362))
% 192.07/191.93 [9841]P2(f317(f317(f319(x98411),f484(x98412,x98413,x98411,x98414,x98415)),x98413))+P2(f317(f317(f319(x98415),x98414),f317(f317(f35(x98411,f910(x98415,a898)),x98413),x98412)))
% 192.07/191.93 [9849]P2(f317(f317(f319(x98491),f489(x98492,x98493,x98491,x98494,x98495)),x98493))+P2(f317(f317(f226(f910(x98495,a898)),x98494),f317(f317(f35(x98491,f910(x98495,a898)),x98493),x98492)))
% 192.07/191.93 [9850]P2(f317(f317(f319(x98501),f816(x98502,x98503,x98504,x98505,x98501)),x98505))+P2(f317(f317(f226(f910(x98504,a898)),x98503),f317(f317(f35(x98501,f910(x98504,a898)),x98505),x98502)))
% 192.07/191.93 [9852]P2(f317(f317(x98521,f498(x98522,x98521,x98523,x98524,x98525)),x98522))+~P2(f317(f317(f317(f36(x98525,f910(x98524,a898)),x98523),x98521),x98522))
% 192.07/191.93 [9856]P2(f317(f317(f319(x98561),f498(x98562,x98563,x98564,x98565,x98561)),x98564))+~P2(f317(f317(f317(f36(x98561,f910(x98565,a898)),x98564),x98563),x98562))
% 192.07/191.93 [9857]P52(x98574,f317(f317(f35(x98571,f910(x98574,a898)),x98575),x98573),f317(f317(f35(x98571,f910(f909(x98574,x98574),a898)),x98575),x98572))+P2(f317(f317(f319(x98571),f759(x98572,x98573,x98574,x98575,x98571)),x98575))
% 192.07/191.93 [9858]P52(x98584,f317(f317(f36(x98581,f910(x98584,a898)),x98585),x98583),f317(f317(f36(x98581,f910(f909(x98584,x98584),a898)),x98585),x98582))+P2(f317(f317(f319(x98581),f813(x98582,x98583,x98584,x98585,x98581)),x98585))
% 192.07/191.93 [9869]P2(f317(f317(f319(x98691),f485(x98692,x98693,x98691,x98694,x98695)),x98693))+~P2(f317(f317(f319(x98695),x98694),f317(f317(f36(x98691,f910(x98695,a898)),x98693),x98692)))
% 192.07/191.93 [9875]P2(f317(f317(f319(x98751),x98752),f317(x98753,f485(x98753,x98754,x98755,x98752,x98751))))+~P2(f317(f317(f319(x98751),x98752),f317(f317(f36(x98755,f910(x98751,a898)),x98754),x98753)))
% 192.07/191.93 [9957]~P2(f317(f317(x99574,f496(x99575,x99574,x99573,x99572,x99571)),x99575))+P2(f317(f317(f317(f35(x99571,f910(x99572,a898)),x99573),x99574),x99575))
% 192.07/191.93 [9960]~P2(f317(f317(f319(x99601),x99602),f317(x99605,f484(x99605,x99604,x99603,x99602,x99601))))+P2(f317(f317(f319(x99601),x99602),f317(f317(f35(x99603,f910(x99601,a898)),x99604),x99605)))
% 192.07/191.93 [9964]~P52(x99641,f317(x99644,f759(x99645,x99644,x99641,x99643,x99642)),f317(x99645,f759(x99645,x99644,x99641,x99643,x99642)))+P52(x99641,f317(f317(f35(x99642,f910(x99641,a898)),x99643),x99644),f317(f317(f35(x99642,f910(f909(x99641,x99641),a898)),x99643),x99645))
% 192.07/191.93 [9965]~P52(x99651,f317(x99654,f813(x99655,x99654,x99651,x99653,x99652)),f317(x99655,f813(x99655,x99654,x99651,x99653,x99652)))+P52(x99651,f317(f317(f36(x99652,f910(x99651,a898)),x99653),x99654),f317(f317(f36(x99652,f910(f909(x99651,x99651),a898)),x99653),x99655))
% 192.07/191.93 [9966]~P2(f317(f317(f226(f910(x99661,a898)),x99662),f317(x99665,f489(x99665,x99664,x99663,x99662,x99661))))+P2(f317(f317(f226(f910(x99661,a898)),x99662),f317(f317(f35(x99663,f910(x99661,a898)),x99664),x99665)))
% 192.07/191.93 [9967]~P2(f317(f317(f226(f910(x99671,a898)),x99672),f317(x99675,f816(x99675,x99672,x99671,x99674,x99673))))+P2(f317(f317(f226(f910(x99671,a898)),x99672),f317(f317(f35(x99673,f910(x99671,a898)),x99674),x99675)))
% 192.07/191.93 [10032]~P2(f317(f317(f319(x100321),f501(x100325,x100324,x100323,x100322,x100321)),f509(x100325,x100324,x100323,x100322,x100321)))+~P2(f317(f57(x100321,x100322,f317(f317(f299(x100321),x100323),x100324)),x100325))
% 192.07/191.93 [10033]~P2(f317(f317(f319(x100331),f521(x100335,x100334,x100333,x100332,x100331)),f532(x100335,x100334,x100333,x100332,x100331)))+~P2(f317(f57(x100331,x100332,f317(f317(f299(x100331),x100333),x100334)),x100335))
% 192.07/191.93 [10034]~P2(f317(f317(f319(f909(x100341,x100341)),f317(f317(f242(x100341,x100341),x100342),x100345)),f317(f317(f173(f909(x100341,x100341),a898),f317(a102,x100344)),x100343)))+P2(f317(f317(f319(f909(x100341,x100341)),f317(f317(f242(x100341,x100341),x100342),f724(x100343,x100344,x100345,x100342,x100341))),f317(f317(f173(f909(x100341,x100341),a898),x100344),x100343)))
% 192.07/191.93 [10040]P2(f317(f61(x100401,x100401,x100402,f501(x100403,x100404,x100405,x100402,x100401),f509(x100403,x100404,x100405,x100402,x100401)),x100403))+~P2(f317(f57(x100401,x100402,f317(f317(f299(x100401),x100405),x100404)),x100403))
% 192.07/191.93 [10041]P2(f317(f61(x100411,x100411,x100412,f521(x100413,x100414,x100415,x100412,x100411),f532(x100413,x100414,x100415,x100412,x100411)),x100413))+~P2(f317(f57(x100411,x100412,f317(f317(f299(x100411),x100415),x100414)),x100413))
% 192.07/191.93 [10051]~P108(x100511)+P14(x100511,f317(f317(f144(x100512,x100511),x100513),f317(f126(x100512,f317(f317(f9(x100512,x100511,a898),f317(f317(f10(x100511,f910(x100511,a898),x100512),a314),x100513)),f317(x100514,x100515))),x100515)))
% 192.07/191.93 [10102]~P2(f317(f317(f319(x101022),x101025),f317(f275(x101021,x101022,x101024),x101023)))+P2(f317(f317(f319(f909(x101021,x101022)),f317(f317(f242(x101021,x101022),f510(x101023,x101024,x101021,x101025,x101022)),x101025)),x101024))
% 192.07/191.93 [10103]~P2(f317(f317(f319(x101032),x101035),f317(f275(x101031,x101032,x101034),x101033)))+P2(f317(f317(f319(f909(x101031,x101032)),f317(f317(f242(x101031,x101032),f516(x101033,x101034,x101031,x101035,x101032)),x101035)),x101034))
% 192.07/191.93 [10123]~P2(f317(f317(f319(f909(x101231,x101231)),f317(f317(f242(x101231,x101231),x101235),x101234)),f317(f317(f173(f909(x101231,x101231),a898),f317(a102,x101233)),x101232)))+P2(f317(f317(f319(f909(x101231,x101231)),f317(f317(f242(x101231,x101231),f724(x101232,x101233,x101234,x101235,x101231)),x101234)),x101232))
% 192.07/191.93 [10126]~P2(f317(f317(f319(f909(x101261,x101261)),f317(f317(f242(x101261,x101261),x101265),x101264)),f317(f317(f173(f909(x101261,x101261),a898),f317(a102,x101263)),x101262)))+P2(f317(f317(f319(f909(x101261,x101261)),f317(f317(f242(x101261,x101261),f730(x101262,x101263,x101264,x101265,x101261)),x101264)),f317(f317(f173(f909(x101261,x101261),a898),x101263),x101262)))
% 192.07/191.93 [10127]~P2(f317(f317(f319(f909(x101271,x101271)),f317(f317(f242(x101271,x101271),x101275),x101274)),f317(f317(f173(f909(x101271,x101271),a898),f317(a102,x101273)),x101272)))+P2(f317(f317(f319(f909(x101271,x101271)),f317(f317(f242(x101271,x101271),f731(x101272,x101273,x101274,x101275,x101271)),x101274)),f317(f317(f173(f909(x101271,x101271),a898),x101273),x101272)))
% 192.07/191.93 [10128]~P2(f317(f317(f319(f909(f904(x101281),f904(x101281))),f317(f317(f242(f904(x101281),f904(x101281)),x101285),f317(f317(f141(x101281),x101284),x101283))),f148(x101281,x101282)))+P2(f317(f317(f319(f909(x101281,x101281)),f317(f317(f242(x101281,x101281),f575(x101282,x101283,x101284,x101285,x101281)),x101284)),x101282))
% 192.07/191.93 [7700]~E(x77003,f178(f910(x77002,a898)))+E(f317(f317(f100(f910(x77001,a898)),f317(f317(f36(x77002,f910(x77001,a898)),x77003),x77004)),x77005),x77005)
% 192.07/191.93 [7701]~E(x77013,f178(f910(x77012,a898)))+E(f317(f317(f91(f910(x77011,a898)),f317(f317(f35(x77012,f910(x77011,a898)),x77013),x77014)),x77015),x77015)
% 192.07/191.93 [8128]~E(x81283,f178(f910(x81282,a898)))+E(f317(f317(f3(f910(x81281,a898)),f317(f317(f35(x81282,f910(x81281,a898)),x81283),x81284)),x81285),f317(f317(f3(f910(x81281,a898)),f232(f910(x81281,a898))),x81285))
% 192.07/191.93 [8261]E(f317(f317(f149(x82611,f317(f317(f124(x82611),x82612),x82613)),x82614),x82615),f317(f317(f124(x82611),f317(f317(f149(x82611,x82612),x82614),x82615)),x82613))+~P2(f317(f317(f227(a903),x82614),f317(f179(f904(x82611)),x82612)))
% 192.07/191.93 [8533]E(f317(f317(f154(x85331),f317(f317(f144(a903,x85331),x85332),f129(a903,f317(f292(a903,x85333),x85334)))),x85335),f317(x85332,f317(f317(f74(a903),x85333),x85335)))+~P2(f317(f317(f227(a903),x85335),f317(f317(f3(a903),x85334),x85333)))
% 192.07/191.93 [8547]E(x85471,f2(a89))+E(f112(x85472,x85473,f317(x85474,f317(f317(f3(a89),x85471),f72(a89))),f317(f317(f9(x85472,a89,f905(f906(x85473))),x85475),x85471)),f317(f186(x85472,x85473,x85474,x85475),x85471))
% 192.07/191.93 [8571]~E(x85713,f178(f910(x85711,a898)))+E(f317(f317(f35(x85711,f910(x85712,a898)),x85713),f317(f317(f10(f910(x85712,a898),f910(x85712,a898),x85711),f317(f3(f910(x85712,a898)),x85714)),x85715)),f232(f910(x85712,a898)))
% 192.07/191.93 [8572]~E(x85723,f178(f910(x85721,a898)))+E(f317(f317(f35(x85721,f910(x85722,a898)),x85723),f317(f317(f10(f910(x85722,a898),f910(x85722,a898),x85721),f317(f91(f910(x85722,a898)),x85724)),x85725)),f232(f910(x85722,a898)))
% 192.07/191.93 [8573]~E(x85733,f178(f910(x85731,a898)))+E(f317(f317(f36(x85731,f910(x85732,a898)),x85733),f317(f317(f10(f910(x85732,a898),f910(x85732,a898),x85731),f317(f100(f910(x85732,a898)),x85734)),x85735)),f178(f910(x85732,a898)))
% 192.07/191.93 [8575]~P146(x85752)+E(f317(f317(f8(x85751,x85752),f317(f317(f10(x85752,x85752,x85751),f317(f75(x85752),x85753)),x85754)),x85755),f317(f317(f75(x85752),x85753),f317(f317(f8(x85751,x85752),x85754),x85755)))
% 192.07/191.93 [8866]E(x88661,f178(f910(x88662,a898)))+E(f317(f317(f35(x88662,f910(x88663,a898)),x88661),f317(f317(f10(f910(x88663,a898),f910(x88663,a898),x88662),f317(f3(f910(x88663,a898)),x88664)),x88665)),f317(f317(f3(f910(x88663,a898)),x88664),f317(f317(f36(x88662,f910(x88663,a898)),x88661),x88665)))
% 192.07/191.93 [8867]E(x88671,f178(f910(x88672,a898)))+E(f317(f317(f35(x88672,f910(x88673,a898)),x88671),f317(f317(f10(f910(x88673,a898),f910(x88673,a898),x88672),f317(f91(f910(x88673,a898)),x88674)),x88675)),f317(f317(f91(f910(x88673,a898)),x88674),f317(f317(f35(x88672,f910(x88673,a898)),x88671),x88675)))
% 192.07/191.93 [8868]E(x88681,f178(f910(x88682,a898)))+E(f317(f317(f36(x88682,f910(x88683,a898)),x88681),f317(f317(f10(f910(x88683,a898),f910(x88683,a898),x88682),f317(f100(f910(x88683,a898)),x88684)),x88685)),f317(f317(f100(f910(x88683,a898)),x88684),f317(f317(f36(x88682,f910(x88683,a898)),x88681),x88685)))
% 192.07/191.93 [9067]~P2(f317(f317(f227(a903),f317(x90674,x90672)),f317(x90674,x90673)))+P2(f317(f317(f319(f909(x90671,x90671)),f317(f317(f242(x90671,x90671),x90672),x90673)),f143(x90671,f317(f317(f141(f910(x90671,a903)),x90674),x90675))))
% 192.07/191.93 [9332]~P25(x93322,x93321,x93323,f317(f317(f100(f910(x93322,a898)),x93324),x93325))+E(f317(f317(f91(f910(x93321,a898)),f317(f300(x93322,x93321,x93323),f317(f317(f3(f910(x93322,a898)),x93324),x93325))),f317(f300(x93322,x93321,x93323),f317(f317(f3(f910(x93322,a898)),x93325),x93324))),f178(f910(x93321,a898)))
% 192.07/191.93 [9595]~P25(x95953,x95951,x95955,f232(f910(x95953,a898)))+E(f317(f67(x95951,x95952,x95953,f317(f67(x95953,x95952,x95951,x95954),f85(x95953,x95951,f232(f910(x95953,a898)),x95955))),x95955),x95954)
% 192.07/191.93 [9629]~P2(f317(f317(f226(f910(x96293,a898)),f317(f275(x96291,x96293,x96294),x96292)),x96295))+P2(f317(f317(f226(f910(x96291,a898)),x96292),f317(f73(f910(x96291,a898)),f317(f275(x96293,x96291,f317(f276(x96291,x96293),x96294)),f317(f73(f910(x96293,a898)),x96295)))))
% 192.07/191.93 [9654]~P25(x96541,x96542,x96543,f317(f317(f299(x96541),x96544),x96545))+~P2(f317(f317(f319(x96542),f317(x96543,x96544)),f317(f300(x96541,x96542,x96543),f317(f317(f3(f910(x96541,a898)),x96545),f317(f317(f299(x96541),x96544),f178(f910(x96541,a898)))))))
% 192.07/191.93 [9708]P2(f317(f317(f226(f910(x97081,a898)),f317(f275(x97082,x97081,x97083),x97084)),x97085))+~P2(f317(f317(f226(f910(x97082,a898)),x97084),f317(f73(f910(x97082,a898)),f317(f275(x97081,x97082,f317(f276(x97082,x97081),x97083)),f317(f73(f910(x97081,a898)),x97085)))))
% 192.07/191.93 [9781]~P85(x97811)+P2(f317(f317(f226(x97811),f317(f70(x97811),f317(f317(f3(x97811),f317(f317(f74(x97811),x97812),x97813)),f317(f317(f74(x97811),x97814),x97815)))),f317(f317(f74(x97811),f317(f70(x97811),f317(f317(f3(x97811),x97812),x97814))),f317(f70(x97811),f317(f317(f3(x97811),x97813),x97815)))))
% 192.07/191.93 [9891]P2(f317(f317(f319(x98911),f490(x98912,x98913,x98914,x98911,x98915)),x98914))+P2(f317(f317(f226(f910(x98915,a898)),f317(f317(f36(x98911,f910(x98915,a898)),x98914),x98913)),x98912))
% 192.07/191.93 [10070]~P2(f317(f317(f226(f910(x100701,a898)),f317(x100704,f490(x100705,x100704,x100703,x100702,x100701))),x100705))+P2(f317(f317(f226(f910(x100701,a898)),f317(f317(f36(x100702,f910(x100701,a898)),x100703),x100704)),x100705))
% 192.07/191.93 [8680]E(f317(f317(f124(x86801),x86802),f317(f317(f149(x86801,x86803),f317(f317(f3(a903),x86804),f317(f179(f904(x86801)),x86802))),x86805)),f317(f317(f149(x86801,f317(f317(f124(x86801),x86802),x86803)),x86804),x86805))+P2(f317(f317(f227(a903),x86804),f317(f179(f904(x86801)),x86802)))
% 192.07/191.93 [8708]~P127(x87081)+E(f317(f317(f74(x87081),f317(f317(f75(x87081),x87082),x87083)),f317(f317(f74(x87081),f317(f317(f75(x87081),x87084),x87083)),x87085)),f317(f317(f74(x87081),f317(f317(f75(x87081),f317(f317(f74(x87081),x87082),x87084)),x87083)),x87085))
% 192.07/191.93 [9285]~P146(x92851)+E(f317(f155(x92851),f317(f317(f144(x92852,x92851),f317(f317(f10(x92851,x92851,x92852),f317(f75(x92851),x92853)),x92854)),x92855)),f317(f317(f75(x92851),x92853),f317(f155(x92851),f317(f317(f144(x92852,x92851),x92854),x92855))))
% 192.07/191.93 [9463]E(f317(f179(f904(x94631)),f317(f317(f165(x94631),f317(f317(f224(a903),f317(f179(f904(x94631)),x94632)),f317(f179(f904(x94633)),x94634))),x94632)),f317(f179(f904(x94633)),f317(f317(f165(x94633),f317(f317(f224(a903),f317(f179(f904(x94631)),x94632)),f317(f179(f904(x94633)),x94634))),x94634)))+P2(f317(x94635,f317(f317(f171(x94631,x94633),x94632),x94634)))
% 192.07/191.93 [9718]~P146(x97182)+E(f317(f317(f8(x97181,x97182),f317(f317(f9(x97181,x97182,x97182),f317(f317(f10(x97182,f910(x97182,x97182),x97181),f75(x97182)),x97183)),x97184)),x97185),f317(f317(f75(x97182),f317(f317(f8(x97181,x97182),x97183),x97185)),x97184))
% 192.07/191.93 [9719]~P62(x97192)+E(f317(f317(f8(x97191,x97192),f317(f317(f9(x97191,x97192,x97192),f317(f317(f10(x97192,f910(x97192,x97192),x97191),f281(x97192)),x97193)),x97194)),x97195),f317(f317(f281(x97192),f317(f317(f8(x97191,x97192),x97193),x97195)),x97194))
% 192.07/191.93 [9726]~P71(x97262)+E(f317(f317(f11(x97261,x97262),f317(f317(f20(x97261,x97262,x97262),f317(f317(f10(x97262,f910(x97262,x97262),x97261),f75(x97262)),x97263)),x97264)),x97265),f317(f317(f75(x97262),f317(f317(f11(x97261,x97262),x97263),x97265)),f317(f317(f11(x97261,x97262),x97264),x97265)))
% 192.07/191.93 [9727]~P68(x97272)+E(f317(f317(f8(x97271,x97272),f317(f317(f20(x97271,x97272,x97272),f317(f317(f10(x97272,f910(x97272,x97272),x97271),f3(x97272)),x97273)),x97274)),x97275),f317(f317(f3(x97272),f317(f317(f8(x97271,x97272),x97273),x97275)),f317(f317(f8(x97271,x97272),x97274),x97275)))
% 192.07/191.93 [9728]~P75(x97282)+E(f317(f317(f8(x97281,x97282),f317(f317(f20(x97281,x97282,x97282),f317(f317(f10(x97282,f910(x97282,x97282),x97281),f74(x97282)),x97283)),x97284)),x97285),f317(f317(f74(x97282),f317(f317(f8(x97281,x97282),x97283),x97285)),f317(f317(f8(x97281,x97282),x97284),x97285)))
% 192.07/191.93 [9766]~E(x97663,f178(f910(x97661,a898)))+E(f317(f317(f35(x97661,f910(x97662,a898)),x97663),f317(f317(f9(x97661,f910(x97662,a898),f910(x97662,a898)),f317(f317(f10(f910(x97662,a898),f910(f910(x97662,a898),f910(x97662,a898)),x97661),f3(f910(x97662,a898))),x97664)),x97665)),f232(f910(x97662,a898)))
% 192.07/191.93 [9767]~E(x97673,f178(f910(x97671,a898)))+E(f317(f317(f35(x97671,f910(x97672,a898)),x97673),f317(f317(f9(x97671,f910(x97672,a898),f910(x97672,a898)),f317(f317(f10(f910(x97672,a898),f910(f910(x97672,a898),f910(x97672,a898)),x97671),f91(f910(x97672,a898))),x97674)),x97675)),f232(f910(x97672,a898)))
% 192.07/191.93 [9768]~E(x97683,f178(f910(x97681,a898)))+E(f317(f317(f36(x97681,f910(x97682,a898)),x97683),f317(f317(f9(x97681,f910(x97682,a898),f910(x97682,a898)),f317(f317(f10(f910(x97682,a898),f910(f910(x97682,a898),f910(x97682,a898)),x97681),f100(f910(x97682,a898))),x97684)),x97685)),f178(f910(x97682,a898)))
% 192.07/191.93 [9789]E(x97891,f178(f910(x97892,a898)))+E(f317(f317(f35(x97892,f910(x97893,a898)),x97891),f317(f317(f9(x97892,f910(x97893,a898),f910(x97893,a898)),f317(f317(f10(f910(x97893,a898),f910(f910(x97893,a898),f910(x97893,a898)),x97892),f3(f910(x97893,a898))),x97894)),x97895)),f317(f317(f3(f910(x97893,a898)),f317(f317(f35(x97892,f910(x97893,a898)),x97891),x97894)),x97895))
% 192.07/191.93 [9790]E(x97901,f178(f910(x97902,a898)))+E(f317(f317(f35(x97902,f910(x97903,a898)),x97901),f317(f317(f9(x97902,f910(x97903,a898),f910(x97903,a898)),f317(f317(f10(f910(x97903,a898),f910(f910(x97903,a898),f910(x97903,a898)),x97902),f91(f910(x97903,a898))),x97904)),x97905)),f317(f317(f91(f910(x97903,a898)),f317(f317(f35(x97902,f910(x97903,a898)),x97901),x97904)),x97905))
% 192.07/191.93 [9791]E(x97911,f178(f910(x97912,a898)))+E(f317(f317(f36(x97912,f910(x97913,a898)),x97911),f317(f317(f9(x97912,f910(x97913,a898),f910(x97913,a898)),f317(f317(f10(f910(x97913,a898),f910(f910(x97913,a898),f910(x97913,a898)),x97912),f100(f910(x97913,a898))),x97914)),x97915)),f317(f317(f100(f910(x97913,a898)),f317(f317(f36(x97912,f910(x97913,a898)),x97911),x97914)),x97915))
% 192.07/191.93 [9337]~P2(f317(f317(f226(a903),x93371),x93374))+E(f317(f317(f3(a903),f317(f317(f74(a903),f317(f317(f75(a903),x93371),x93372)),x93373)),f317(f317(f74(a903),f317(f317(f75(a903),x93374),x93372)),x93375)),f317(f317(f3(a903),x93373),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x93374),x93371)),x93372)),x93375)))
% 192.07/191.93 [9940]~P146(x99401)+E(f317(f155(x99401),f317(f317(f144(x99402,x99401),f317(f317(f9(x99402,x99401,x99401),f317(f317(f10(x99401,f910(x99401,x99401),x99402),f75(x99401)),x99403)),x99404)),x99405)),f317(f317(f75(x99401),f317(f155(x99401),f317(f317(f144(x99402,x99401),x99403),x99405))),x99404))
% 192.07/191.93 [9946]~P68(x99461)+E(f317(f155(x99461),f317(f317(f144(x99462,x99461),f317(f317(f20(x99462,x99461,x99461),f317(f317(f10(x99461,f910(x99461,x99461),x99462),f3(x99461)),x99463)),x99464)),x99465)),f317(f317(f3(x99461),f317(f155(x99461),f317(f317(f144(x99462,x99461),x99463),x99465))),f317(f155(x99461),f317(f317(f144(x99462,x99461),x99464),x99465))))
% 192.07/191.93 [9947]~P75(x99471)+E(f317(f155(x99471),f317(f317(f144(x99472,x99471),f317(f317(f20(x99472,x99471,x99471),f317(f317(f10(x99471,f910(x99471,x99471),x99472),f74(x99471)),x99473)),x99474)),x99475)),f317(f317(f74(x99471),f317(f155(x99471),f317(f317(f144(x99472,x99471),x99473),x99475))),f317(f155(x99471),f317(f317(f144(x99472,x99471),x99474),x99475))))
% 192.07/191.93 [10094]P2(f317(x100941,f317(f317(f171(x100942,x100943),x100944),x100945)))+~P2(f317(x100941,f317(f317(f171(x100942,x100943),f317(f317(f165(x100942),f317(f317(f224(a903),f317(f179(f904(x100942)),x100944)),f317(f179(f904(x100943)),x100945))),x100944)),f317(f317(f165(x100943),f317(f317(f224(a903),f317(f179(f904(x100942)),x100944)),f317(f179(f904(x100943)),x100945))),x100945))))
% 192.07/191.93 [10355]~P2(f317(f317(f319(f909(x103552,x103551)),f317(f317(f242(x103552,x103551),x103554),x103555)),f317(f276(x103551,x103552),x103553)))+P2(f317(f317(f233(x103551,x103552,f317(f317(f9(x103551,f910(f909(x103551,x103552),a898),f910(x103552,a898)),f317(f317(f10(f910(x103552,f910(f910(f909(x103551,x103552),a898),a898)),f910(f910(f909(x103551,x103552),a898),f910(x103552,a898)),x103551),f9(x103552,f910(f909(x103551,x103552),a898),a898)),f317(f317(f10(f910(x103552,f909(x103551,x103552)),f910(x103552,f910(f910(f909(x103551,x103552),a898),a898)),x103551),f317(f10(f909(x103551,x103552),f910(f910(f909(x103551,x103552),a898),a898),x103552),f319(f909(x103551,x103552)))),f242(x103551,x103552)))),x103553)),x103554),x103555))
% 192.07/191.93 [10365]P2(f317(f317(f319(f909(x103651,x103652)),f317(f317(f242(x103651,x103652),x103653),x103654)),f317(f276(x103652,x103651),x103655)))+~P2(f317(f317(f233(x103652,x103651,f317(f317(f9(x103652,f910(f909(x103652,x103651),a898),f910(x103651,a898)),f317(f317(f10(f910(x103651,f910(f910(f909(x103652,x103651),a898),a898)),f910(f910(f909(x103652,x103651),a898),f910(x103651,a898)),x103652),f9(x103651,f910(f909(x103652,x103651),a898),a898)),f317(f317(f10(f910(x103651,f909(x103652,x103651)),f910(x103651,f910(f910(f909(x103652,x103651),a898),a898)),x103652),f317(f10(f909(x103652,x103651),f910(f910(f909(x103652,x103651),a898),a898),x103651),f319(f909(x103652,x103651)))),f242(x103652,x103651)))),x103655)),x103653),x103654))
% 192.07/191.93 [9594]~P2(f317(f317(f226(a903),x95944),x95941))+E(f317(f317(f3(a903),f317(f317(f74(a903),f317(f317(f75(a903),x95941),x95942)),x95943)),f317(f317(f74(a903),f317(f317(f75(a903),x95944),x95942)),x95945)),f317(f317(f3(a903),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x95941),x95944)),x95942)),x95943)),x95945))
% 192.07/191.93 [7393]E(x73931,x73932)+~E(f210(x73933,x73934,x73935,x73931),f210(x73933,x73934,x73936,x73932))
% 192.07/191.93 [7394]E(x73941,x73942)+~E(f210(x73943,x73944,x73941,x73945),f210(x73943,x73944,x73942,x73946))
% 192.07/191.93 [8516]~P20(x85165,x85161,x85162,x85166)+E(f317(f67(x85161,x85161,x85161,f317(x85162,x85163)),f317(x85162,x85164)),f317(f67(x85161,x85161,x85161,f317(x85162,x85164)),f317(x85162,x85163)))
% 192.07/191.93 [8752]~P56(x87524,x87525,x87522,x87521,x87526)+E(f317(x87521,f317(x87522,x87523)),x87523)
% 192.07/191.93 [8919]P25(x89191,x89192,x89193,x89194)+~P25(x89191,x89195,f317(f67(x89192,x89195,x89191,x89196),x89193),x89194)
% 192.07/191.93 [8992]~E(x89926,x89924)+E(f317(f69(x89921,x89922,x89923,x89924,x89925),x89926),x89925)
% 192.07/191.93 [8998]E(x89981,x89982)+E(f317(f69(x89983,x89984,x89985,x89982,x89986),x89981),f317(x89985,x89981))
% 192.07/191.93 [9010]~P25(x90104,x90102,f317(f67(x90101,x90102,x90104,x90103),x90105),x90106)+P25(x90101,x90102,x90103,f317(f300(x90104,x90101,x90105),x90106))
% 192.07/191.93 [9729]P2(f317(f29(x97291),x97292))+~P2(f317(f61(x97291,x97293,x97294,x97295,x97292),x97296))
% 192.07/191.93 [9738]~P2(f317(f317(f319(x97384),x97383),f290(x97384,x97385,x97381,x97382,x97386)))+P2(f317(f317(x97381,x97382),x97383))
% 192.07/191.93 [9739]~P2(f317(f317(f319(x97394),x97393),f287(x97394,x97391,x97395,x97392,x97396)))+P2(f317(f317(x97391,x97392),x97393))
% 192.07/191.93 [9740]~P2(f317(f317(f319(x97404),x97402),f290(x97404,x97401,x97405,x97406,x97403)))+P2(f317(f317(x97401,x97402),x97403))
% 192.07/191.93 [9741]~P2(f317(f317(f319(x97414),x97412),f287(x97414,x97415,x97411,x97416,x97413)))+P2(f317(f317(x97411,x97412),x97413))
% 192.07/191.93 [10242]P13(x102421,x102422,x102423,x102424,x102425,x102426)+~E(f317(f317(x102426,f840(x102423,x102426,x102425,x102422,x102424,x102421)),f842(x102423,x102426,x102425,x102422,x102424,x102421)),f317(f317(x102426,f841(x102423,x102426,x102425,x102422,x102424,x102421)),f843(x102423,x102426,x102425,x102422,x102424,x102421)))
% 192.07/191.93 [5851]E(x58511,x58512)+~E(f317(f317(f242(x58513,x58514),x58515),x58511),f317(f317(f242(x58513,x58514),x58516),x58512))
% 192.07/191.93 [5853]E(x58531,x58532)+~E(f317(f317(f242(x58533,x58534),x58531),x58535),f317(f317(f242(x58533,x58534),x58532),x58536))
% 192.07/191.93 [5998]~P17(x59985,x59986,x59981)+E(f317(f317(x59981,x59982),f317(f317(x59981,x59983),x59984)),f317(f317(x59981,x59983),f317(f317(x59981,x59982),x59984)))
% 192.07/191.93 [7460]~P32(x74604,x74601,f317(f317(f141(x74604),x74602),x74605),f317(f317(f141(x74604),x74603),x74606))+P2(f317(f317(x74601,x74602),x74603))
% 192.07/191.93 [7818]P32(x78181,x78182,x78183,x78184)+~P32(x78181,x78182,f317(f317(f141(x78181),x78185),x78183),f317(f317(f141(x78181),x78186),x78184))
% 192.07/191.93 [8856]~P56(x88565,x88561,x88562,x88566,x88564)+P2(f317(f317(f319(x88561),f317(x88562,x88563)),x88564))
% 192.07/191.93 [9058]~E(x90583,f317(f317(f141(x90581),x90585),x90586))+P2(f317(f317(f319(f909(f904(x90581),f904(x90581))),f317(f317(f242(f904(x90581),f904(x90581)),x90582),f317(f317(f124(x90581),x90582),x90583))),f137(x90581,x90584)))
% 192.07/191.93 [9291]~P34(x92911,x92912,x92913,x92915,x92916)+P34(x92911,x92912,x92913,f317(f317(f165(x92911),x92914),x92915),f317(f317(f165(x92912),x92914),x92916))
% 192.07/191.93 [9292]~P34(x92921,x92922,x92923,x92925,x92926)+P34(x92921,x92922,x92923,f317(f317(f128(x92921),x92924),x92925),f317(f317(f128(x92922),x92924),x92926))
% 192.07/191.93 [9556]E(f317(f300(x95561,x95562,f69(x95561,x95562,x95563,x95564,x95565)),x95566),f317(f300(x95561,x95562,x95563),x95566))+P2(f317(f317(f319(x95561),x95564),x95566))
% 192.07/191.93 [9559]E(f317(f317(f144(x95591,x95592),f69(x95591,x95592,x95593,x95594,x95595)),x95596),f317(f317(f144(x95591,x95592),x95593),x95596))+P2(f317(f317(f319(x95591),x95594),f317(f162(x95591),x95596)))
% 192.07/191.93 [9801]~P24(x98014,x98012,x98015,x98013,x98016,x98011)+E(f317(x98011,f178(f910(x98012,a898))),x98013)
% 192.07/191.93 [10035]~E(f317(x100354,f317(f241(x100351,x100353),x100355)),f317(x100356,f317(f241(x100351,x100353),x100355)))+E(f317(f248(x100351,x100352,x100353,x100353,x100354,f25(x100353)),x100355),f317(f248(x100351,x100352,x100353,x100353,x100356,f25(x100353)),x100355))
% 192.07/191.93 [10036]~E(f317(x100364,f317(f246(x100361,x100362),x100365)),f317(x100366,f317(f246(x100361,x100362),x100365)))+E(f317(f248(x100361,x100361,x100362,x100363,f25(x100361),x100364),x100365),f317(f248(x100361,x100361,x100362,x100363,f25(x100361),x100366),x100365))
% 192.07/191.93 [10090]~E(f317(f248(x100902,x100906,x100903,x100903,x100901,f25(x100903)),x100904),f317(f248(x100902,x100906,x100903,x100903,x100905,f25(x100903)),x100904))+E(f317(x100901,f317(f241(x100902,x100903),x100904)),f317(x100905,f317(f241(x100902,x100903),x100904)))
% 192.07/191.93 [10091]~E(f317(f248(x100912,x100912,x100913,x100916,f25(x100912),x100911),x100914),f317(f248(x100912,x100912,x100913,x100916,f25(x100912),x100915),x100914))+E(f317(x100911,f317(f246(x100912,x100913),x100914)),f317(x100915,f317(f246(x100912,x100913),x100914)))
% 192.07/191.93 [8959]P2(f317(f317(f319(x89591),x89592),x89593))+~P2(f317(f317(f319(f909(x89591,x89594)),f317(f317(f242(x89591,x89594),x89592),x89595)),f317(f317(f244(x89591,x89594),x89593),x89596)))
% 192.07/191.93 [8975]P2(f317(f317(f319(x89751),x89752),f317(x89753,x89754)))+~P2(f317(f317(f319(f909(x89755,x89751)),f317(f317(f242(x89755,x89751),x89754),x89752)),f317(f317(f244(x89755,x89751),x89756),x89753)))
% 192.07/191.93 [9413]P2(f317(f317(f319(f909(x94131,x94131)),f317(f317(f242(x94131,x94131),f317(x94132,x94133)),f317(x94132,x94134))),x94135))+~P2(f317(f317(f319(f909(x94136,x94136)),f317(f317(f242(x94136,x94136),x94133),x94134)),f317(f317(f278(x94131,x94136),x94135),x94132)))
% 192.07/191.93 [9433]~P2(f317(f317(f319(f909(x94334,x94334)),f317(f317(f242(x94334,x94334),f317(x94336,x94332)),f317(x94336,x94333))),x94335))+P2(f317(f317(f319(f909(x94331,x94331)),f317(f317(f242(x94331,x94331),x94332),x94333)),f317(f317(f278(x94334,x94331),x94335),x94336)))
% 192.07/191.93 [10093]E(f317(f317(f242(x100931,x100932),f743(x100933,x100934,x100935,x100936,x100932,x100931)),f744(x100933,x100934,x100935,x100936,x100932,x100931)),x100936)+~P2(f317(f317(f319(f909(x100931,x100932)),x100936),f317(f317(f279(x100931,x100935,x100932),x100934),x100933)))
% 192.07/191.93 [10313]~P2(f317(f317(f319(f909(x103131,x103136)),x103135),f317(f317(f279(x103131,x103132,x103136),x103134),x103133)))+P2(f317(f317(f319(f909(x103131,x103132)),f317(f317(f242(x103131,x103132),f743(x103133,x103134,x103132,x103135,x103136,x103131)),f745(x103133,x103134,x103132,x103135,x103136,x103131))),x103134))
% 192.07/191.93 [10314]~P2(f317(f317(f319(f909(x103146,x103142)),x103145),f317(f317(f279(x103146,x103141,x103142),x103144),x103143)))+P2(f317(f317(f319(f909(x103141,x103142)),f317(f317(f242(x103141,x103142),f745(x103143,x103144,x103141,x103145,x103142,x103146)),f744(x103143,x103144,x103141,x103145,x103142,x103146))),x103143))
% 192.07/191.93 [10315]P13(x103151,x103152,x103153,x103154,x103155,x103156)+P2(f317(f317(f319(f909(x103152,x103152)),f317(f317(f242(x103152,x103152),f843(x103153,x103156,x103155,x103152,x103154,x103151)),f842(x103153,x103156,x103155,x103152,x103154,x103151))),x103155))
% 192.07/191.93 [10316]P13(x103161,x103162,x103163,x103164,x103165,x103166)+P2(f317(f317(f319(f909(x103161,x103161)),f317(f317(f242(x103161,x103161),f841(x103163,x103166,x103165,x103162,x103164,x103161)),f840(x103163,x103166,x103165,x103162,x103164,x103161))),x103164))
% 192.07/191.93 [7889]~P6(x78892)+E(f317(f317(f35(x78891,x78892),x78893),f317(f317(f9(x78891,x78894,x78892),x78895),x78896)),f317(f317(f317(f35(x78891,f910(x78894,x78892)),x78893),x78895),x78896))
% 192.07/191.93 [7890]~P6(x78902)+E(f317(f317(f36(x78901,x78902),x78903),f317(f317(f9(x78901,x78904,x78902),x78905),x78906)),f317(f317(f317(f36(x78901,f910(x78904,x78902)),x78903),x78905),x78906))
% 192.07/191.93 [8663]E(f317(f317(f36(x86631,f910(x86632,a898)),x86633),f317(f317(f10(f910(x86632,a898),f910(x86632,a898),x86631),f317(f299(x86632),x86634)),x86635)),f317(f317(f299(x86632),x86634),f317(f317(f36(x86631,f910(x86632,a898)),x86633),x86635)))+~P2(f317(f317(f319(x86631),x86636),x86633))
% 192.07/191.93 [9111]~P6(x91112)+E(f317(f317(f35(x91111,x91112),x91113),f317(f317(f10(f910(x91114,x91112),x91112,x91111),f317(f35(x91114,x91112),x91115)),f317(f9(x91114,x91111,x91112),x91116))),f317(f317(f35(x91114,x91112),x91115),f317(f317(f10(f910(x91111,x91112),x91112,x91114),f317(f35(x91111,x91112),x91113)),x91116)))
% 192.07/191.93 [9112]~P6(x91122)+E(f317(f317(f36(x91121,x91122),x91123),f317(f317(f10(f910(x91124,x91122),x91122,x91121),f317(f36(x91124,x91122),x91125)),f317(f9(x91124,x91121,x91122),x91126))),f317(f317(f36(x91124,x91122),x91125),f317(f317(f10(f910(x91121,x91122),x91122,x91124),f317(f36(x91121,x91122),x91123)),x91126)))
% 192.07/191.93 [9317]P2(f317(f317(f319(x93171),x93172),f317(f162(x93171),x93173)))+~P2(f317(f317(f319(f909(x93174,x93171)),f317(f317(f242(x93174,x93171),x93175),x93172)),f317(f162(f909(x93174,x93171)),f317(f317(f171(x93174,x93171),x93176),x93173))))
% 192.07/191.93 [9318]P2(f317(f317(f319(x93181),x93182),f317(f162(x93181),x93183)))+~P2(f317(f317(f319(f909(x93181,x93184)),f317(f317(f242(x93181,x93184),x93182),x93185)),f317(f162(f909(x93181,x93184)),f317(f317(f171(x93181,x93184),x93183),x93186))))
% 192.07/191.93 [9429]P2(f317(f317(f226(f910(x94291,a898)),f317(f275(x94292,x94291,x94293),x94294)),x94295))+~P2(f317(f317(f226(f910(f909(x94292,x94291),a898)),x94293),f317(f317(f244(x94292,x94291),x94296),f317(f18(f910(x94291,a898),x94292),x94295))))
% 192.07/191.93 [9434]~P26(x94344,x94342,x94345,f232(f910(x94344,a898)),f232(f910(x94342,a898)))+E(f317(f317(f35(x94341,f910(x94342,a898)),x94343),f317(f317(f10(f910(x94344,a898),f910(x94342,a898),x94341),f300(x94344,x94342,x94345)),x94346)),f317(f300(x94344,x94342,x94345),f317(f317(f35(x94341,f910(x94344,a898)),x94343),x94346)))
% 192.07/191.93 [9632]P2(f317(f317(f319(f909(f904(x96321),f904(x96321))),f317(f317(f242(f904(x96321),f904(x96321)),f317(f317(f141(x96321),x96322),x96323)),f317(f317(f141(x96321),x96324),x96325))),f137(x96321,x96326)))+~P2(f317(f317(f319(f909(x96321,x96321)),f317(f317(f242(x96321,x96321),x96322),x96324)),x96326))
% 192.07/191.93 [10089]E(f317(f317(f242(x100891,x100892),f672(x100893,x100894,x100895,x100892,x100891,x100896)),f675(x100893,x100894,x100895,x100892,x100891,x100896)),x100896)+P2(f317(f317(f319(x100895),x100894),f317(f317(f247(x100891,x100892,f910(x100895,a898)),x100893),x100896)))
% 192.07/191.93 [10095]E(f317(f317(f242(x100951,x100952),f673(x100953,x100954,x100952,x100951,x100955,x100956)),f674(x100953,x100954,x100952,x100951,x100955,x100956)),x100953)+~P2(f317(f317(f319(x100956),x100955),f317(f317(f247(x100951,x100952,f910(x100956,a898)),x100954),x100953)))
% 192.07/191.93 [10257]P2(f317(f317(f319(x102571),x102572),f317(f317(x102573,f673(x102574,x102573,x102575,x102576,x102572,x102571)),f674(x102574,x102573,x102575,x102576,x102572,x102571))))+~P2(f317(f317(f319(x102571),x102572),f317(f317(f247(x102576,x102575,f910(x102571,a898)),x102573),x102574)))
% 192.07/191.93 [10286]~P2(f317(f317(f319(x102861),x102862),f317(f317(x102865,f672(x102865,x102862,x102861,x102864,x102863,x102866)),f675(x102865,x102862,x102861,x102864,x102863,x102866))))+P2(f317(f317(f319(x102861),x102862),f317(f317(f247(x102863,x102864,f910(x102861,a898)),x102865),x102866)))
% 192.07/191.93 [8563]E(x85631,x85632)+E(f317(f317(f149(x85633,f317(f317(f149(x85633,x85634),x85631),x85635)),x85632),x85636),f317(f317(f149(x85633,f317(f317(f149(x85633,x85634),x85632),x85636)),x85631),x85635))
% 192.07/191.93 [9693]~P2(f317(f317(f319(x96933),x96936),x96935))+E(f317(f317(f299(x96931),x96932),f317(f300(x96933,x96931,x96934),f317(f317(f3(f910(x96933,a898)),x96935),f317(f317(f299(x96933),x96936),f178(f910(x96933,a898)))))),f317(f300(x96933,x96931,f69(x96933,x96931,x96934,x96936,x96932)),x96935))
% 192.07/191.93 [9190]~P2(f317(f317(x91904,x91905),x91906))+P2(f317(f317(f317(f317(f100(f910(x91901,f910(x91902,a898))),x91903),x91904),x91905),x91906))
% 192.07/191.93 [9192]~P2(f317(f317(x91923,x91925),x91926))+P2(f317(f317(f317(f317(f100(f910(x91921,f910(x91922,a898))),x91923),x91924),x91925),x91926))
% 192.07/191.93 [9484]P2(f317(f317(x94841,x94842),x94843))+~P2(f317(f317(f317(f317(f91(f910(x94844,f910(x94845,a898))),x94846),x94841),x94842),x94843))
% 192.07/191.93 [9485]P2(f317(f317(x94851,x94852),x94853))+~P2(f317(f317(f317(f317(f91(f910(x94854,f910(x94855,a898))),x94851),x94856),x94852),x94853))
% 192.07/191.93 [9928]~P71(x99282)+E(f317(f317(f11(x99281,x99282),f317(f317(f9(x99281,f910(x99283,a898),x99282),f317(f317(f10(f910(x99283,x99282),f910(f910(x99283,a898),x99282),x99281),f11(x99283,x99282)),x99284)),x99285)),x99286),f317(f317(f11(f909(x99281,x99283),x99282),f317(f247(x99281,x99283,x99282),x99284)),f317(f317(f244(x99281,x99283),x99286),f317(f18(f910(x99283,a898),x99281),x99285))))
% 192.07/191.93 [9929]~P75(x99292)+E(f317(f317(f8(x99291,x99292),f317(f317(f9(x99291,f910(x99293,a898),x99292),f317(f317(f10(f910(x99293,x99292),f910(f910(x99293,a898),x99292),x99291),f8(x99293,x99292)),x99294)),x99295)),x99296),f317(f317(f8(f909(x99291,x99293),x99292),f317(f247(x99291,x99293,x99292),x99294)),f317(f317(f244(x99291,x99293),x99296),f317(f18(f910(x99293,a898),x99291),x99295))))
% 192.07/191.93 [10060]~P75(x100602)+E(f317(f317(f8(x100601,x100602),f317(f317(f9(x100601,f910(x100603,a898),x100602),f317(f317(f10(f910(x100603,x100602),f910(f910(x100603,a898),x100602),x100601),f8(x100603,x100602)),f317(f9(x100603,x100601,x100602),x100604))),x100605)),x100606),f317(f317(f8(x100603,x100602),f317(f317(f9(x100603,f910(x100601,a898),x100602),f317(f317(f10(f910(x100601,x100602),f910(f910(x100601,a898),x100602),x100603),f8(x100601,x100602)),x100604)),x100606)),x100605))
% 192.07/191.93 [10377]~P2(f317(f317(f319(f909(x103771,x103772)),f317(f317(f242(x103771,x103772),x103775),x103776)),f317(f317(f100(f910(f909(x103771,x103772),a898)),x103773),x103774)))+P2(f317(f317(f317(f317(f100(f910(x103771,f910(x103772,a898))),f317(f317(f9(x103771,f910(f909(x103771,x103772),a898),f910(x103772,a898)),f317(f317(f10(f910(x103772,f910(f910(f909(x103771,x103772),a898),a898)),f910(f910(f909(x103771,x103772),a898),f910(x103772,a898)),x103771),f9(x103772,f910(f909(x103771,x103772),a898),a898)),f317(f317(f10(f910(x103772,f909(x103771,x103772)),f910(x103772,f910(f910(f909(x103771,x103772),a898),a898)),x103771),f317(f10(f909(x103771,x103772),f910(f910(f909(x103771,x103772),a898),a898),x103772),f319(f909(x103771,x103772)))),f242(x103771,x103772)))),x103773)),f317(f317(f9(x103771,f910(f909(x103771,x103772),a898),f910(x103772,a898)),f317(f317(f10(f910(x103772,f910(f910(f909(x103771,x103772),a898),a898)),f910(f910(f909(x103771,x103772),a898),f910(x103772,a898)),x103771),f9(x103772,f910(f909(x103771,x103772),a898),a898)),f317(f317(f10(f910(x103772,f909(x103771,x103772)),f910(x103772,f910(f910(f909(x103771,x103772),a898),a898)),x103771),f317(f10(f909(x103771,x103772),f910(f910(f909(x103771,x103772),a898),a898),x103772),f319(f909(x103771,x103772)))),f242(x103771,x103772)))),x103774)),x103775),x103776))
% 192.07/191.93 [10378]~P2(f317(f317(f319(f909(x103781,x103782)),f317(f317(f242(x103781,x103782),x103785),x103786)),f317(f317(f91(f910(f909(x103781,x103782),a898)),x103783),x103784)))+P2(f317(f317(f317(f317(f91(f910(x103781,f910(x103782,a898))),f317(f317(f9(x103781,f910(f909(x103781,x103782),a898),f910(x103782,a898)),f317(f317(f10(f910(x103782,f910(f910(f909(x103781,x103782),a898),a898)),f910(f910(f909(x103781,x103782),a898),f910(x103782,a898)),x103781),f9(x103782,f910(f909(x103781,x103782),a898),a898)),f317(f317(f10(f910(x103782,f909(x103781,x103782)),f910(x103782,f910(f910(f909(x103781,x103782),a898),a898)),x103781),f317(f10(f909(x103781,x103782),f910(f910(f909(x103781,x103782),a898),a898),x103782),f319(f909(x103781,x103782)))),f242(x103781,x103782)))),x103783)),f317(f317(f9(x103781,f910(f909(x103781,x103782),a898),f910(x103782,a898)),f317(f317(f10(f910(x103782,f910(f910(f909(x103781,x103782),a898),a898)),f910(f910(f909(x103781,x103782),a898),f910(x103782,a898)),x103781),f9(x103782,f910(f909(x103781,x103782),a898),a898)),f317(f317(f10(f910(x103782,f909(x103781,x103782)),f910(x103782,f910(f910(f909(x103781,x103782),a898),a898)),x103781),f317(f10(f909(x103781,x103782),f910(f910(f909(x103781,x103782),a898),a898),x103782),f319(f909(x103781,x103782)))),f242(x103781,x103782)))),x103784)),x103785),x103786))
% 192.07/191.93 [10387]P2(f317(f317(f319(f909(x103871,x103872)),f317(f317(f242(x103871,x103872),x103873),x103874)),f317(f317(f100(f910(f909(x103871,x103872),a898)),x103875),x103876)))+~P2(f317(f317(f317(f317(f100(f910(x103871,f910(x103872,a898))),f317(f317(f9(x103871,f910(f909(x103871,x103872),a898),f910(x103872,a898)),f317(f317(f10(f910(x103872,f910(f910(f909(x103871,x103872),a898),a898)),f910(f910(f909(x103871,x103872),a898),f910(x103872,a898)),x103871),f9(x103872,f910(f909(x103871,x103872),a898),a898)),f317(f317(f10(f910(x103872,f909(x103871,x103872)),f910(x103872,f910(f910(f909(x103871,x103872),a898),a898)),x103871),f317(f10(f909(x103871,x103872),f910(f910(f909(x103871,x103872),a898),a898),x103872),f319(f909(x103871,x103872)))),f242(x103871,x103872)))),x103875)),f317(f317(f9(x103871,f910(f909(x103871,x103872),a898),f910(x103872,a898)),f317(f317(f10(f910(x103872,f910(f910(f909(x103871,x103872),a898),a898)),f910(f910(f909(x103871,x103872),a898),f910(x103872,a898)),x103871),f9(x103872,f910(f909(x103871,x103872),a898),a898)),f317(f317(f10(f910(x103872,f909(x103871,x103872)),f910(x103872,f910(f910(f909(x103871,x103872),a898),a898)),x103871),f317(f10(f909(x103871,x103872),f910(f910(f909(x103871,x103872),a898),a898),x103872),f319(f909(x103871,x103872)))),f242(x103871,x103872)))),x103876)),x103873),x103874))
% 192.07/191.93 [10388]P2(f317(f317(f319(f909(x103881,x103882)),f317(f317(f242(x103881,x103882),x103883),x103884)),f317(f317(f91(f910(f909(x103881,x103882),a898)),x103885),x103886)))+~P2(f317(f317(f317(f317(f91(f910(x103881,f910(x103882,a898))),f317(f317(f9(x103881,f910(f909(x103881,x103882),a898),f910(x103882,a898)),f317(f317(f10(f910(x103882,f910(f910(f909(x103881,x103882),a898),a898)),f910(f910(f909(x103881,x103882),a898),f910(x103882,a898)),x103881),f9(x103882,f910(f909(x103881,x103882),a898),a898)),f317(f317(f10(f910(x103882,f909(x103881,x103882)),f910(x103882,f910(f910(f909(x103881,x103882),a898),a898)),x103881),f317(f10(f909(x103881,x103882),f910(f910(f909(x103881,x103882),a898),a898),x103882),f319(f909(x103881,x103882)))),f242(x103881,x103882)))),x103885)),f317(f317(f9(x103881,f910(f909(x103881,x103882),a898),f910(x103882,a898)),f317(f317(f10(f910(x103882,f910(f910(f909(x103881,x103882),a898),a898)),f910(f910(f909(x103881,x103882),a898),f910(x103882,a898)),x103881),f9(x103882,f910(f909(x103881,x103882),a898),a898)),f317(f317(f10(f910(x103882,f909(x103881,x103882)),f910(x103882,f910(f910(f909(x103881,x103882),a898),a898)),x103881),f317(f10(f909(x103881,x103882),f910(f910(f909(x103881,x103882),a898),a898),x103882),f319(f909(x103881,x103882)))),f242(x103881,x103882)))),x103886)),x103883),x103884))
% 192.07/191.93 [10371]~P2(f317(f317(f319(f909(x103712,x103713)),f317(f317(f242(x103712,x103713),x103715),x103716)),f317(f317(f35(x103711,f910(f909(x103712,x103713),a898)),f232(f910(x103711,a898))),x103714)))+P2(f317(f317(f317(f317(f35(x103711,f910(x103712,f910(x103713,a898))),f232(f910(x103711,a898))),f317(f317(f10(f910(f909(x103712,x103713),a898),f910(x103712,f910(x103713,a898)),x103711),f317(f9(x103712,f910(f909(x103712,x103713),a898),f910(x103713,a898)),f317(f317(f10(f910(x103713,f910(f910(f909(x103712,x103713),a898),a898)),f910(f910(f909(x103712,x103713),a898),f910(x103713,a898)),x103712),f9(x103713,f910(f909(x103712,x103713),a898),a898)),f317(f317(f10(f910(x103713,f909(x103712,x103713)),f910(x103713,f910(f910(f909(x103712,x103713),a898),a898)),x103712),f317(f10(f909(x103712,x103713),f910(f910(f909(x103712,x103713),a898),a898),x103713),f319(f909(x103712,x103713)))),f242(x103712,x103713))))),x103714)),x103715),x103716))
% 192.07/191.93 [10372]~P2(f317(f317(f319(f909(x103722,x103723)),f317(f317(f242(x103722,x103723),x103725),x103726)),f317(f317(f36(x103721,f910(f909(x103722,x103723),a898)),f232(f910(x103721,a898))),x103724)))+P2(f317(f317(f317(f317(f36(x103721,f910(x103722,f910(x103723,a898))),f232(f910(x103721,a898))),f317(f317(f10(f910(f909(x103722,x103723),a898),f910(x103722,f910(x103723,a898)),x103721),f317(f9(x103722,f910(f909(x103722,x103723),a898),f910(x103723,a898)),f317(f317(f10(f910(x103723,f910(f910(f909(x103722,x103723),a898),a898)),f910(f910(f909(x103722,x103723),a898),f910(x103723,a898)),x103722),f9(x103723,f910(f909(x103722,x103723),a898),a898)),f317(f317(f10(f910(x103723,f909(x103722,x103723)),f910(x103723,f910(f910(f909(x103722,x103723),a898),a898)),x103722),f317(f10(f909(x103722,x103723),f910(f910(f909(x103722,x103723),a898),a898),x103723),f319(f909(x103722,x103723)))),f242(x103722,x103723))))),x103724)),x103725),x103726))
% 192.07/191.93 [10381]P2(f317(f317(f319(f909(x103811,x103812)),f317(f317(f242(x103811,x103812),x103813),x103814)),f317(f317(f35(x103815,f910(f909(x103811,x103812),a898)),f232(f910(x103815,a898))),x103816)))+~P2(f317(f317(f317(f317(f35(x103815,f910(x103811,f910(x103812,a898))),f232(f910(x103815,a898))),f317(f317(f10(f910(f909(x103811,x103812),a898),f910(x103811,f910(x103812,a898)),x103815),f317(f9(x103811,f910(f909(x103811,x103812),a898),f910(x103812,a898)),f317(f317(f10(f910(x103812,f910(f910(f909(x103811,x103812),a898),a898)),f910(f910(f909(x103811,x103812),a898),f910(x103812,a898)),x103811),f9(x103812,f910(f909(x103811,x103812),a898),a898)),f317(f317(f10(f910(x103812,f909(x103811,x103812)),f910(x103812,f910(f910(f909(x103811,x103812),a898),a898)),x103811),f317(f10(f909(x103811,x103812),f910(f910(f909(x103811,x103812),a898),a898),x103812),f319(f909(x103811,x103812)))),f242(x103811,x103812))))),x103816)),x103813),x103814))
% 192.07/191.93 [10382]P2(f317(f317(f319(f909(x103821,x103822)),f317(f317(f242(x103821,x103822),x103823),x103824)),f317(f317(f36(x103825,f910(f909(x103821,x103822),a898)),f232(f910(x103825,a898))),x103826)))+~P2(f317(f317(f317(f317(f36(x103825,f910(x103821,f910(x103822,a898))),f232(f910(x103825,a898))),f317(f317(f10(f910(f909(x103821,x103822),a898),f910(x103821,f910(x103822,a898)),x103825),f317(f9(x103821,f910(f909(x103821,x103822),a898),f910(x103822,a898)),f317(f317(f10(f910(x103822,f910(f910(f909(x103821,x103822),a898),a898)),f910(f910(f909(x103821,x103822),a898),f910(x103822,a898)),x103821),f9(x103822,f910(f909(x103821,x103822),a898),a898)),f317(f317(f10(f910(x103822,f909(x103821,x103822)),f910(x103822,f910(f910(f909(x103821,x103822),a898),a898)),x103821),f317(f10(f909(x103821,x103822),f910(f910(f909(x103821,x103822),a898),a898),x103822),f319(f909(x103821,x103822)))),f242(x103821,x103822))))),x103826)),x103823),x103824))
% 192.07/191.93 [7565]E(f317(x75651,f317(x75652,x75653)),f317(x75654,x75653))+~E(f317(f67(x75655,x75656,x75657,x75651),x75652),x75654)
% 192.07/191.93 [9709]E(x97091,x97092)+E(f69(x97093,x97094,f69(x97093,x97094,x97095,x97091,x97096),x97092,x97097),f69(x97093,x97094,f69(x97093,x97094,x97095,x97092,x97097),x97091,x97096))
% 192.07/191.93 [9800]~P23(x98003,x98004,x98001,x98005,x98006,x98007)+E(f317(f317(x98001,x98002),x98002),x98002)
% 192.07/191.93 [6101]~E(f317(f317(f144(x61011,x61015),x61016),x61012),f317(f317(f144(x61013,x61015),x61017),x61014))+E(f317(f179(f904(x61011)),x61012),f317(f179(f904(x61013)),x61014))
% 192.07/191.93 [8594]E(f317(x85941,f317(x85942,x85943)),f317(x85944,x85943))+~E(f317(f67(x85945,x85946,x85947,x85941),x85942),f317(f67(x85946,x85946,x85947,f25(x85946)),x85944))
% 192.07/191.93 [8948]~P34(x89484,x89485,x89481,f317(f317(f141(x89484),x89482),x89486),f317(f317(f141(x89485),x89483),x89487))+P2(f317(f317(x89481,x89482),x89483))
% 192.07/191.93 [9324]P34(x93241,x93242,x93243,x93244,x93245)+~P34(x93241,x93242,x93243,f317(f317(f141(x93241),x93246),x93244),f317(f317(f141(x93242),x93247),x93245))
% 192.07/191.93 [9961]P2(f317(f317(x99611,x99612),f554(x99613,x99612,x99614,x99611)))+~P2(f317(f317(f243(x99615,x99616,x99617,x99611,x99614),x99612),x99613))
% 192.07/191.93 [9985]P2(f317(f317(x99851,f554(x99852,x99853,x99851,x99854)),x99852))+~P2(f317(f317(f243(x99855,x99856,x99857,x99854,x99851),x99853),x99852))
% 192.07/191.93 [9065]~P21(x90656,x90651,x90653,x90657)+E(f317(f67(x90651,x90651,x90652,f317(x90653,x90654)),f317(f67(x90651,x90651,x90652,f317(x90653,x90654)),x90655)),f317(f67(x90651,x90651,x90652,f317(x90653,x90654)),x90655))
% 192.07/191.93 [9437]~P34(x94373,x94372,x94374,f317(f317(f144(x94371,x94373),x94375),x94376),x94377)+P34(x94371,x94372,f317(f317(f10(x94373,f910(x94372,a898),x94371),x94374),x94375),x94376,x94377)
% 192.07/191.93 [9460]P34(x94601,x94602,x94603,f317(f317(f144(x94604,x94601),x94605),x94606),x94607)+~P34(x94604,x94602,f317(f317(f10(x94601,f910(x94602,a898),x94604),x94603),x94605),x94606,x94607)
% 192.07/191.93 [9064]~P2(f317(f317(f319(x90641),x90642),f317(f317(x90645,x90646),x90647)))+P2(f317(f317(f319(x90641),x90642),f317(f317(f247(x90643,x90644,f910(x90641,a898)),x90645),f317(f317(f242(x90643,x90644),x90646),x90647))))
% 192.07/191.93 [9350]P2(f317(f317(f317(x93501,x93502),x93503),x93504))+~P2(f317(f317(f317(f247(x93505,x93506,f910(x93507,a898)),x93501),f317(f317(f242(x93505,x93506),x93502),x93503)),x93504))
% 192.07/191.93 [9499]P2(f317(f317(f319(x94991),f317(f317(x94992,x94993),x94994)),f317(f300(f909(x94995,x94996),x94991,f317(f247(x94995,x94996,x94991),x94992)),x94997)))+~P2(f317(f317(f319(f909(x94995,x94996)),f317(f317(f242(x94995,x94996),x94993),x94994)),x94997))
% 192.07/191.93 [9847]P2(f317(f317(f319(f909(f904(x98471),f904(x98471))),f317(f317(f242(f904(x98471),f904(x98471)),f317(f317(f124(x98471),x98472),f317(f317(f141(x98471),x98473),x98474))),f317(f317(f124(x98471),x98472),f317(f317(f141(x98471),x98475),x98476)))),f137(x98471,x98477)))+~P2(f317(f317(f319(f909(x98471,x98471)),f317(f317(f242(x98471,x98471),x98473),x98475)),x98477))
% 192.07/191.93 [9913]~P34(x99131,x99133,x99134,x99136,f317(f317(f144(x99132,x99133),x99135),x99137))+P34(x99131,x99132,f317(f317(f9(x99131,f910(x99132,x99133),f910(x99132,a898)),f317(f317(f10(f910(x99133,a898),f910(f910(x99132,x99133),f910(x99132,a898)),x99131),f10(x99133,a898,x99132)),x99134)),x99135),x99136,x99137)
% 192.07/191.93 [9989]P34(x99891,x99892,x99893,x99894,f317(f317(f144(x99895,x99892),x99896),x99897))+~P34(x99891,x99895,f317(f317(f9(x99891,f910(x99895,x99892),f910(x99895,a898)),f317(f317(f10(f910(x99892,a898),f910(f910(x99895,x99892),f910(x99895,a898)),x99891),f10(x99892,a898,x99895)),x99893)),x99896),x99894,x99897)
% 192.07/191.93 [10300]P2(f317(f317(f319(x103001),f499(x103002,x103003,x103004,x103005,x103006,x103007,x103001)),x103005))+P2(f317(f317(f317(f317(f35(x103001,f910(x103007,f910(x103006,a898))),x103005),x103004),x103003),x103002))
% 192.07/191.93 [10301]P2(f317(f317(f319(x103011),f772(x103012,x103013,x103014,x103015,x103016,x103017,x103011)),x103017))+P2(f317(f317(f317(f317(f35(x103011,f910(x103013,f910(x103012,a898))),x103017),x103016),x103015),x103014))
% 192.07/191.93 [10302]P2(f317(f317(f319(x103021),f500(x103022,x103023,x103024,x103025,x103026,x103027,x103021)),x103025))+~P2(f317(f317(f317(f317(f36(x103021,f910(x103027,f910(x103026,a898))),x103025),x103024),x103023),x103022))
% 192.07/191.93 [10303]P2(f317(f317(f319(x103031),f773(x103032,x103033,x103034,x103035,x103036,x103037,x103031)),x103035))+~P2(f317(f317(f317(f317(f36(x103031,f910(x103037,f910(x103036,a898))),x103035),x103034),x103033),x103032))
% 192.07/191.93 [10336]P2(f317(f317(f317(x103361,f500(x103362,x103363,x103361,x103364,x103365,x103366,x103367)),x103363),x103362))+~P2(f317(f317(f317(f317(f36(x103367,f910(x103366,f910(x103365,a898))),x103364),x103361),x103363),x103362))
% 192.07/191.93 [10337]P2(f317(f317(f317(x103371,f773(x103372,x103373,x103371,x103374,x103375,x103376,x103377)),x103373),x103372))+~P2(f317(f317(f317(f317(f36(x103377,f910(x103376,f910(x103375,a898))),x103374),x103371),x103373),x103372))
% 192.07/191.93 [10352]~P2(f317(f317(f317(x103525,f499(x103527,x103526,x103525,x103524,x103523,x103522,x103521)),x103526),x103527))+P2(f317(f317(f317(f317(f35(x103521,f910(x103522,f910(x103523,a898))),x103524),x103525),x103526),x103527))
% 192.07/191.93 [10353]~P2(f317(f317(f317(x103535,f772(x103533,x103532,x103537,x103536,x103535,x103534,x103531)),x103536),x103537))+P2(f317(f317(f317(f317(f35(x103531,f910(x103532,f910(x103533,a898))),x103534),x103535),x103536),x103537))
% 192.07/191.93 [10370]~P2(f317(f317(f319(f909(x103701,x103703)),f317(f317(f242(x103701,x103703),x103706),x103707)),f317(f317(f279(x103701,x103702,x103703),x103704),x103705)))+P2(f317(f317(f243(x103701,x103702,x103703,f317(f317(f9(x103701,f910(f909(x103701,x103702),a898),f910(x103702,a898)),f317(f317(f10(f910(x103702,f910(f910(f909(x103701,x103702),a898),a898)),f910(f910(f909(x103701,x103702),a898),f910(x103702,a898)),x103701),f9(x103702,f910(f909(x103701,x103702),a898),a898)),f317(f317(f10(f910(x103702,f909(x103701,x103702)),f910(x103702,f910(f910(f909(x103701,x103702),a898),a898)),x103701),f317(f10(f909(x103701,x103702),f910(f910(f909(x103701,x103702),a898),a898),x103702),f319(f909(x103701,x103702)))),f242(x103701,x103702)))),x103704),f317(f317(f9(x103702,f910(f909(x103702,x103703),a898),f910(x103703,a898)),f317(f317(f10(f910(x103703,f910(f910(f909(x103702,x103703),a898),a898)),f910(f910(f909(x103702,x103703),a898),f910(x103703,a898)),x103702),f9(x103703,f910(f909(x103702,x103703),a898),a898)),f317(f317(f10(f910(x103703,f909(x103702,x103703)),f910(x103703,f910(f910(f909(x103702,x103703),a898),a898)),x103702),f317(f10(f909(x103702,x103703),f910(f910(f909(x103702,x103703),a898),a898),x103703),f319(f909(x103702,x103703)))),f242(x103702,x103703)))),x103705)),x103706),x103707))
% 192.07/191.93 [10380]P2(f317(f317(f319(f909(x103801,x103802)),f317(f317(f242(x103801,x103802),x103803),x103804)),f317(f317(f279(x103801,x103805,x103802),x103806),x103807)))+~P2(f317(f317(f243(x103801,x103805,x103802,f317(f317(f9(x103801,f910(f909(x103801,x103805),a898),f910(x103805,a898)),f317(f317(f10(f910(x103805,f910(f910(f909(x103801,x103805),a898),a898)),f910(f910(f909(x103801,x103805),a898),f910(x103805,a898)),x103801),f9(x103805,f910(f909(x103801,x103805),a898),a898)),f317(f317(f10(f910(x103805,f909(x103801,x103805)),f910(x103805,f910(f910(f909(x103801,x103805),a898),a898)),x103801),f317(f10(f909(x103801,x103805),f910(f910(f909(x103801,x103805),a898),a898),x103805),f319(f909(x103801,x103805)))),f242(x103801,x103805)))),x103806),f317(f317(f9(x103805,f910(f909(x103805,x103802),a898),f910(x103802,a898)),f317(f317(f10(f910(x103802,f910(f910(f909(x103805,x103802),a898),a898)),f910(f910(f909(x103805,x103802),a898),f910(x103802,a898)),x103805),f9(x103802,f910(f909(x103805,x103802),a898),a898)),f317(f317(f10(f910(x103802,f909(x103805,x103802)),f910(x103802,f910(f910(f909(x103805,x103802),a898),a898)),x103805),f317(f10(f909(x103805,x103802),f910(f910(f909(x103805,x103802),a898),a898),x103802),f319(f909(x103805,x103802)))),f242(x103805,x103802)))),x103807)),x103803),x103804))
% 192.07/191.93 [10312]~P146(x103122)+E(f317(f317(f8(x103121,x103122),f317(f317(f9(x103121,f910(x103123,a898),x103122),f317(f317(f10(f910(x103123,x103122),f910(f910(x103123,a898),x103122),x103121),f8(x103123,x103122)),f317(f317(f9(x103121,f910(x103123,x103122),f910(x103123,x103122)),f317(f317(f10(f910(x103122,x103122),f910(f910(x103123,x103122),f910(x103123,x103122)),x103121),f10(x103122,x103122,x103123)),f317(f317(f10(x103122,f910(x103122,x103122),x103121),f75(x103122)),x103124))),x103125))),x103126)),x103127),f317(f317(f75(x103122),f317(f317(f8(x103121,x103122),x103124),x103127)),f317(f317(f8(x103123,x103122),x103125),x103126)))
% 192.07/191.93 [9383]~P20(x93837,x93831,x93833,x93838)+E(f317(f67(x93831,x93831,x93832,f317(x93833,x93834)),f317(f67(x93831,x93831,x93832,f317(x93833,x93835)),x93836)),f317(f67(x93831,x93831,x93832,f317(x93833,x93835)),f317(f67(x93831,x93831,x93832,f317(x93833,x93834)),x93836)))
% 192.07/191.93 [10375]E(f317(f317(f242(x103751,x103752),f317(x103753,f550(x103754,x103755,x103753,x103756,x103757,x103758,x103752,x103751))),f317(x103755,f551(x103754,x103755,x103753,x103756,x103757,x103758,x103752,x103751))),x103758)+~P2(f317(f317(f319(f909(x103751,x103752)),x103758),f317(f300(f909(x103757,x103756),f909(x103751,x103752),f248(x103757,x103751,x103756,x103752,x103753,x103755)),x103754)))
% 192.07/191.93 [10393]~P2(f317(f317(f319(f909(x103938,x103937)),x103936),f317(f300(f909(x103931,x103932),f909(x103938,x103937),f248(x103931,x103938,x103932,x103937,x103935,x103934)),x103933)))+P2(f317(f317(f319(f909(x103931,x103932)),f317(f317(f242(x103931,x103932),f550(x103933,x103934,x103935,x103932,x103931,x103936,x103937,x103938)),f551(x103933,x103934,x103935,x103932,x103931,x103936,x103937,x103938))),x103933))
% 192.07/191.93 [9837]P2(f317(f317(f319(f909(f909(x98371,x98372),f909(x98371,x98372))),f317(f317(f242(f909(x98371,x98372),f909(x98371,x98372)),f317(f317(f242(x98371,x98372),x98373),x98374)),f317(f317(f242(x98371,x98372),x98375),x98376))),f310(x98371,x98372,x98377,x98378)))+~P2(f317(f317(f319(f909(x98371,x98371)),f317(f317(f242(x98371,x98371),x98373),x98375)),x98377))
% 192.07/191.93 [10364]E(f317(f132(x103641,x103642,f317(f9(x103642,x103641,x103641),x103643),f317(x103644,x103645)),x103646),f317(x103644,f317(f132(x103647,x103642,f317(f9(x103642,x103647,x103647),x103648),x103645),x103646)))+P2(f317(f317(f319(x103642),f654(x103645,x103648,x103644,x103643,x103647,x103641,x103646,x103642)),f317(f162(x103642),x103646)))
% 192.07/191.93 [10383]~E(f317(f67(x103831,x103831,x103837,f317(x103833,f654(x103835,x103838,x103834,x103833,x103837,x103831,x103836,x103832))),x103834),f317(f67(x103837,x103831,x103837,x103834),f317(x103838,f654(x103835,x103838,x103834,x103833,x103837,x103831,x103836,x103832))))+E(f317(f132(x103831,x103832,f317(f9(x103832,x103831,x103831),x103833),f317(x103834,x103835)),x103836),f317(x103834,f317(f132(x103837,x103832,f317(f9(x103832,x103837,x103837),x103838),x103835),x103836)))
% 192.07/191.93 [8599]E(f317(x85991,f317(x85992,x85993)),f317(x85994,f317(x85995,x85993)))+~E(f317(f67(x85996,x85997,x85998,x85991),x85992),f317(f67(x85999,x85997,x85998,x85994),x85995))
% 192.07/191.93 [10221]P2(f317(f317(f319(f909(x102211,x102212)),f317(f317(f242(x102211,x102212),f317(x102213,x102214)),f317(x102215,x102216))),f317(f300(f909(x102217,x102218),f909(x102211,x102212),f248(x102217,x102211,x102218,x102212,x102213,x102215)),x102219)))+~P2(f317(f317(f319(f909(x102217,x102218)),f317(f317(f242(x102217,x102218),x102214),x102216)),x102219))
% 192.07/191.93 [8894]~E(f317(x88944,f317(x88945,x88946)),f317(x88949,f317(x889410,x889411)))+E(f317(f317(f67(x88941,x88942,x88943,x88944),x88945),x88946),f317(f317(f67(x88947,x88942,x88948,x88949),x889410),x889411))
% 192.07/191.93 [4656]~P108(x46561)+~P104(x46561)+E(f91(x46561),f224(x46561))
% 192.07/191.93 [4657]~P108(x46571)+~P101(x46571)+E(f100(x46571),f225(x46571))
% 192.07/191.93 [4902]~P117(x49021)+~P93(x49021)+E(f317(f70(x49021),f317(f93(x49021),a87)),f72(x49021))
% 192.07/191.93 [5196]E(x51961,f2(a1))+E(f76(a1,x51961),f317(f73(a1),f72(a1)))+P2(f317(f317(f227(a1),f2(a1)),x51961))
% 192.07/191.93 [5401]E(x54011,f2(a1))+E(f76(a1,x54011),f72(a1))+~P2(f317(f317(f227(a1),f2(a1)),x54011))
% 192.07/191.93 [7464]~P40(x74641)+P2(f317(f29(a1),x74641))+~P2(f317(f29(a903),f317(f300(a1,a903,a94),x74641)))
% 192.07/191.93 [9799]E(x97991,f178(f910(f909(a903,a903),a898)))+~P2(f317(f29(f909(a903,a903)),x97991))+P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),f178(f910(f909(a903,a903),a898))),x97991)),a28))
% 192.07/191.93 [9962]E(x99621,f2(a903))+E(x99621,f317(a102,f2(a903)))+~P2(f317(f317(f227(a903),x99621),f317(f93(a903),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)))))
% 192.07/191.93 [10250]E(x102501,f2(a89))+E(f317(f317(f74(a1),f317(f317(f75(a1),f317(f93(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(f31(a89),x102501),f317(f93(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,x102501))+E(f41(a89,x102501,f317(f93(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))
% 192.07/191.93 [10099]E(x100991,f2(a89))+~E(f41(a89,x100991,f317(f93(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(f93(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(f31(a89),x100991),f317(f93(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,x100991))
% 192.07/191.93 [4737]~P57(x47371,x47372)+P44(x47371,x47372)+~P45(a898)
% 192.07/191.93 [4666]~P145(x46661)+P28(x46661,x46662)+~E(x46662,f2(x46661))
% 192.07/191.93 [4667]~P108(x46671)+P14(x46671,x46672)+~E(x46672,f103(x46671))
% 192.07/191.93 [4676]~P117(x46761)+~E(x46762,f2(x46761))+E(f76(x46761,x46762),f2(x46761))
% 192.07/191.93 [4677]~P90(x46771)+~E(x46772,f2(x46771))+E(f76(x46771,x46772),f2(x46771))
% 192.07/191.93 [4685]~P145(x46852)+~P28(x46852,x46851)+E(x46851,f2(x46852))
% 192.07/191.93 [4730]~P117(x47302)+~E(f76(x47302,x47301),f2(x47302))+E(x47301,f2(x47302))
% 192.07/191.93 [4744]~P3(x47442)+~P3(x47441)+P3(f910(x47441,x47442))
% 192.07/191.93 [4745]~P3(x47452)+~P3(x47451)+P3(f908(x47451,x47452))
% 192.07/191.93 [4746]~P3(x47462)+~P3(x47461)+P3(f909(x47461,x47462))
% 192.07/191.93 [4747]~P7(x47472)+~P7(x47471)+P7(f184(x47471,x47472))
% 192.07/191.93 [4748]~P60(x47482)+~P60(x47481)+P60(f910(x47481,x47482))
% 192.07/191.93 [4749]~P60(x47492)+~P60(x47491)+P60(f908(x47491,x47492))
% 192.07/191.93 [4750]~P60(x47502)+~P60(x47501)+P60(f909(x47501,x47502))
% 192.07/191.93 [4751]~P105(x47512)+~P105(x47511)+P105(f909(x47511,x47512))
% 192.07/191.93 [4874]~P108(x48741)+~P14(x48741,x48742)+P14(x48741,f142(x48741,x48742))
% 192.07/191.93 [5123]~P7(x51232)+~P7(x51231)+P7(f41(a1,x51231,x51232))
% 192.07/191.93 [4687]~P77(x46871)+~E(x46872,f2(x46871))+E(f317(f73(x46871),x46872),x46872)
% 192.07/191.93 [4702]~P92(x47021)+~E(x47022,f2(a1))+E(f317(f92(x47021),x47022),f2(x47021))
% 192.07/191.93 [4703]~P141(x47031)+~E(x47032,f2(a1))+E(f317(f92(x47031),x47032),f2(x47031))
% 192.07/191.93 [4727]~P76(x47271)+~E(f2(x47271),x47272)+E(f317(f73(x47271),x47272),f2(x47271))
% 192.07/191.93 [4728]~P85(x47281)+~E(x47282,f2(x47281))+E(f317(f70(x47281),x47282),f2(x47281))
% 192.07/191.93 [4729]~P76(x47291)+~E(x47292,f2(x47291))+E(f317(f73(x47291),x47292),f2(x47291))
% 192.07/191.93 [4753]~P77(x47532)+E(x47531,f2(x47532))+~E(f317(f73(x47532),x47531),x47531)
% 192.07/191.93 [4755]E(x47551,f317(a94,x47552))+~E(x47551,f2(a903))+~E(x47552,f317(f90(a1),x47551))
% 192.07/191.93 [4756]E(f317(a94,x47561),x47562)+~E(x47562,f2(a903))+~E(x47561,f317(f90(a1),x47562))
% 192.07/191.93 [4760]~P92(x47602)+E(x47601,f2(a1))+~E(f317(f92(x47602),x47601),f2(x47602))
% 192.07/191.93 [4764]~P85(x47642)+E(x47641,f2(x47642))+~E(f317(f70(x47642),x47641),f2(x47642))
% 192.07/191.93 [4765]~P76(x47652)+E(x47651,f2(x47652))+~E(f317(f73(x47652),x47651),f2(x47652))
% 192.07/191.93 [4766]~P76(x47661)+E(f2(x47661),x47662)+~E(f317(f73(x47661),x47662),f2(x47661))
% 192.07/191.93 [4949]~P108(x49491)+~P14(x49491,x49492)+P14(x49491,f317(f161(x49491),x49492))
% 192.07/191.93 [4977]~P2(x49772)+~P2(x49771)+P2(f317(f317(a315,x49771),x49772))
% 192.07/191.93 [5015]~E(f72(a903),f2(a903))+E(f317(f30(x50151),x50152),f2(a903))+~P2(f317(f29(x50151),x50152))
% 192.07/191.93 [5051]~P113(x50511)+~P146(x50511)+E(f317(f317(f234(x50511),f2(x50511)),f317(a102,x50512)),f2(x50511))
% 192.07/191.93 [5091]~P108(x50911)+P14(x50911,f129(x50911,x50912))+~P2(f317(f29(x50911),x50912))
% 192.07/191.93 [5092]~P108(x50921)+P14(x50921,f663(x50922,x50921))+~P2(f317(f29(x50921),x50922))
% 192.07/191.93 [5115]~P108(x51151)+E(f317(f162(x51151),f129(x51151,x51152)),x51152)+~P2(f317(f29(x51151),x51152))
% 192.07/191.93 [5116]~P108(x51161)+E(f317(f162(x51161),f663(x51162,x51161)),x51162)+~P2(f317(f29(x51161),x51162))
% 192.07/191.93 [5145]P2(x51451)+P2(x51452)+~P2(f317(f317(a316,x51452),x51451))
% 192.07/191.93 [5158]E(x51581,f178(f910(x51582,a898)))+~E(f317(f30(x51582),x51581),f2(a903))+~P2(f317(f29(x51582),x51581))
% 192.07/191.93 [5163]P2(x51631)+~P2(x51632)+~P2(f317(f317(a320,x51632),x51631))
% 192.07/191.93 [5214]~P74(x52141)+E(f317(f70(x52141),x52142),x52142)+P2(f317(f317(f227(x52141),x52142),f2(x52141)))
% 192.07/191.93 [5274]~P60(x52742)+~P2(f317(f52(x52742),x52741))+P2(f317(x52741,f646(x52741,x52742)))
% 192.07/191.93 [5275]~P60(x52752)+~P2(f317(f52(x52752),x52751))+P2(f317(x52751,f656(x52751,x52752)))
% 192.07/191.93 [5316]E(x53161,f103(x53162))+P2(f317(f127(x53162),f104(x53162,x53161)))+~P2(f317(f127(x53162),x53161))
% 192.07/191.93 [5321]~P108(x53211)+~P2(f317(f29(x53211),x53212))+P2(f317(f127(x53211),f129(x53211,x53212)))
% 192.07/191.93 [5322]~P108(x53221)+~P2(f317(f29(x53221),x53222))+P2(f317(f127(x53221),f663(x53222,x53221)))
% 192.07/191.93 [5327]~P141(x53271)+E(f317(f90(x53271),f317(a94,x53272)),f317(f92(x53271),x53272))+P2(f317(f317(f227(a1),x53272),f2(a1)))
% 192.07/191.93 [5348]P8(x53482,x53481)+E(f317(x53481,f514(x53481)),f317(x53481,f517(x53481)))+P2(f317(f317(x53481,f514(x53481)),f517(x53481)))
% 192.07/191.93 [5361]E(f317(f90(a1),f870(x53611,x53612)),x53611)+P2(f317(x53612,f317(a94,x53611)))+~P2(f317(x53612,f2(a903)))
% 192.07/191.93 [5374]~P60(x53741)+~P2(f317(x53742,f681(x53742,x53741)))+P2(f317(f53(x53741),x53742))
% 192.07/191.93 [5375]~P60(x53751)+~P2(f317(x53752,f694(x53752,x53751)))+P2(f317(f53(x53751),x53752))
% 192.07/191.93 [5411]~P117(x54111)+~E(f76(x54111,x54112),f317(f73(x54111),f72(x54111)))+P2(f317(f317(f227(x54111),x54112),f2(x54111)))
% 192.07/191.93 [5412]E(x54121,f178(f910(x54122,a898)))+P2(f317(f29(x54122),f324(x54121,x54122)))+~P2(f317(f29(x54122),x54121))
% 192.07/191.93 [5488]~E(x54882,f2(a1))+E(f205(x54881,x54882),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P2(f317(f317(f227(a1),x54882),f2(a1)))
% 192.07/191.93 [5489]~E(x54891,f2(a1))+E(f205(x54891,x54892),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P2(f317(f317(f227(a1),x54892),f2(a1)))
% 192.07/191.93 [5542]E(f317(f90(a1),f870(x55421,x55422)),x55421)+P2(f317(x55422,f317(a94,x55421)))+P2(f317(f317(f227(a1),x55421),f2(a1)))
% 192.07/191.93 [5566]E(f317(f317(f299(x55662),f401(x55661,x55662)),f324(x55661,x55662)),x55661)+E(x55661,f178(f910(x55662,a898)))+~P2(f317(f29(x55662),x55661))
% 192.07/191.93 [5611]~P117(x56111)+E(f76(x56111,x56112),f317(f73(x56111),f72(x56111)))+~P2(f317(f317(f227(x56111),x56112),f2(x56111)))
% 192.07/191.93 [5612]~P85(x56121)+E(f317(f70(x56121),x56122),f317(f73(x56121),x56122))+~P2(f317(f317(f226(x56121),x56122),f2(x56121)))
% 192.07/191.93 [5613]~P85(x56131)+E(f317(f70(x56131),x56132),f317(f73(x56131),x56132))+~P2(f317(f317(f227(x56131),x56132),f2(x56131)))
% 192.07/191.93 [5614]~P74(x56141)+E(f317(f70(x56141),x56142),f317(f73(x56141),x56142))+~P2(f317(f317(f227(x56141),x56142),f2(x56141)))
% 192.07/191.93 [5714]~P2(f317(x57141,f870(x57142,x57141)))+P2(f317(x57141,f317(a94,x57142)))+~P2(f317(x57141,f2(a903)))
% 192.07/191.93 [5721]E(x57211,f2(a903))+E(f317(a102,f767(x57212,x57211)),x57211)+~P2(f317(f317(f227(a903),x57211),f317(a102,x57212)))
% 192.07/191.93 [5725]P8(x57251,x57252)+~E(f317(x57252,f514(x57252)),f317(x57252,f517(x57252)))+~P2(f317(f317(x57252,f514(x57252)),f517(x57252)))
% 192.07/191.93 [5743]~P108(x57431)+P14(x57431,x57432)+P2(f317(f317(f226(a903),f629(x57432,x57431)),f630(x57432,x57431)))
% 192.07/191.93 [5744]~P108(x57441)+P14(x57441,x57442)+P2(f317(f317(f226(a903),f637(x57442,x57441)),f641(x57442,x57441)))
% 192.07/191.93 [5830]~P85(x58301)+~E(x58302,f2(x58301))+P2(f317(f317(f226(x58301),f317(f70(x58301),x58302)),f2(x58301)))
% 192.07/191.93 [5927]~P2(f317(x59271,f870(x59272,x59271)))+P2(f317(x59271,f317(a94,x59272)))+P2(f317(f317(f227(a1),x59272),f2(a1)))
% 192.07/191.93 [5952]~P2(f317(x59521,f317(a94,x59522)))+P2(f317(x59521,f2(a903)))+~P2(f317(f317(f227(a1),x59522),f2(a1)))
% 192.07/191.93 [6305]~P117(x63051)+~P2(f317(f317(f227(x63051),x63052),f2(x63051)))+P2(f317(f317(f227(x63051),f76(x63051,x63052)),f2(x63051)))
% 192.07/191.93 [6425]~P117(x64251)+P2(f317(f317(f226(x64251),f317(f92(x64251),x64252)),f2(x64251)))+~P2(f317(f317(f226(a1),x64252),f2(a1)))
% 192.07/191.93 [6426]~P117(x64261)+P2(f317(f317(f227(x64261),f317(f92(x64261),x64262)),f2(x64261)))+~P2(f317(f317(f227(a1),x64262),f2(a1)))
% 192.07/191.93 [6435]~P85(x64352)+E(x64351,f2(x64352))+~P2(f317(f317(f226(x64352),f317(f70(x64352),x64351)),f2(x64352)))
% 192.07/191.93 [6513]~P141(x65131)+~P2(f317(f317(f319(x65131),x65132),f99(x65131)))+P2(f317(f317(f319(x65131),f317(f73(x65131),x65132)),f99(x65131)))
% 192.07/191.93 [6545]~P117(x65451)+~P2(f317(f317(f227(x65451),f76(x65451,x65452)),f2(x65451)))+P2(f317(f317(f227(x65451),x65452),f2(x65451)))
% 192.07/191.93 [6723]~P117(x67232)+~P2(f317(f317(f226(x67232),f317(f92(x67232),x67231)),f2(x67232)))+P2(f317(f317(f226(a1),x67231),f2(a1)))
% 192.07/191.93 [6724]~P117(x67242)+~P2(f317(f317(f227(x67242),f317(f92(x67242),x67241)),f2(x67242)))+P2(f317(f317(f227(a1),x67241),f2(a1)))
% 192.07/191.93 [7239]~P77(x72391)+~P2(f317(f317(f226(x72391),x72392),f2(x72391)))+P2(f317(f317(f226(x72391),f317(f317(f74(x72391),x72392),x72392)),f2(x72391)))
% 192.07/191.93 [7240]~P117(x72401)+~P2(f317(f317(f227(x72401),x72402),f2(x72401)))+P2(f317(f317(f227(x72401),f317(f317(f74(x72401),x72402),x72402)),f2(x72401)))
% 192.07/191.93 [7241]~P77(x72411)+~P2(f317(f317(f227(x72411),x72412),f2(x72411)))+P2(f317(f317(f227(x72411),f317(f317(f74(x72411),x72412),x72412)),f2(x72411)))
% 192.07/191.93 [7811]~P77(x78111)+~P2(f317(f317(f226(x78111),f317(f317(f74(x78111),x78112),x78112)),f2(x78111)))+P2(f317(f317(f226(x78111),x78112),f2(x78111)))
% 192.07/191.93 [7812]~P117(x78121)+~P2(f317(f317(f227(x78121),f317(f317(f74(x78121),x78122),x78122)),f2(x78121)))+P2(f317(f317(f227(x78121),x78122),f2(x78121)))
% 192.07/191.93 [7813]~P77(x78131)+~P2(f317(f317(f227(x78131),f317(f317(f74(x78131),x78132),x78132)),f2(x78131)))+P2(f317(f317(f227(x78131),x78132),f2(x78131)))
% 192.07/191.93 [4801]~E(x48012,f72(a903))+~E(x48011,f72(a903))+E(f317(f317(f75(a903),x48011),x48012),f72(a903))
% 192.07/191.93 [4802]~E(x48022,f72(a1))+~E(x48021,f72(a1))+E(f317(f317(f75(a1),x48021),x48022),f72(a1))
% 192.07/191.93 [4803]~E(x48032,f2(a903))+~E(x48031,f2(a903))+E(f317(f317(f74(a903),x48031),x48032),f2(a903))
% 192.07/191.93 [4858]~P122(x48582)+E(x48581,f2(x48582))+E(f317(f317(f281(x48582),x48581),x48581),f72(x48582))
% 192.07/191.93 [4859]~P4(x48592)+E(x48591,f2(x48592))+E(f317(f317(f31(x48592),x48591),x48591),f72(x48592))
% 192.07/191.93 [4860]~P123(x48602)+E(x48601,f2(x48602))+E(f317(f317(f281(x48602),x48601),x48601),f72(x48602))
% 192.07/191.93 [4880]~P142(x48801)+~E(x48802,f72(x48801))+E(f317(f317(f75(x48801),x48802),x48802),f72(x48801))
% 192.07/191.93 [4881]~P77(x48811)+~E(x48812,f2(x48811))+E(f317(f317(f74(x48811),x48812),x48812),f2(x48811))
% 192.07/191.93 [4882]~P123(x48821)+~E(x48822,f2(x48821))+E(f317(f317(f281(x48821),x48822),x48822),f2(x48821))
% 192.07/191.93 [4927]~E(x49272,f2(a903))+~E(x49271,f2(a903))+E(f317(f73(a1),f317(f90(a1),x49271)),f317(f90(a1),x49272))
% 192.07/191.93 [4946]E(x49461,f72(a903))+E(x49462,f2(a903))+~E(f317(f317(f75(a903),x49462),x49461),x49462)
% 192.07/191.93 [4958]E(x49581,f2(a903))+E(x49582,f2(a903))+~E(f317(f317(f75(a903),x49582),x49581),f2(a903))
% 192.07/191.93 [4986]~E(x49862,f2(a903))+~E(x49861,f317(a102,f2(a903)))+E(f317(f317(f74(a903),x49861),x49862),f317(a102,f2(a903)))
% 192.07/191.93 [4987]~E(x49871,f2(a903))+~E(x49872,f317(a102,f2(a903)))+E(f317(f317(f74(a903),x49871),x49872),f317(a102,f2(a903)))
% 192.07/191.93 [4994]E(x49941,f72(a1))+E(x49942,f317(f93(a1),a87))+~E(f317(f317(f75(a1),x49941),x49942),f72(a1))
% 192.07/191.93 [4995]E(x49951,f72(a1))+E(x49952,f317(f93(a1),a87))+~E(f317(f317(f75(a1),x49952),x49951),f72(a1))
% 192.07/191.93 [4996]E(x49961,f72(a1))+E(x49961,f317(f93(a1),a87))+~E(f317(f317(f75(a1),x49962),x49961),f72(a1))
% 192.07/191.93 [4998]E(x49981,f72(a1))+E(x49981,f317(f93(a1),a87))+~E(f317(f317(f75(a1),x49981),x49982),f72(a1))
% 192.07/191.93 [5023]~P77(x50232)+E(x50231,f2(x50232))+~E(f317(f317(f74(x50232),x50231),x50231),f2(x50232))
% 192.07/191.93 [5029]~E(x50291,f317(f93(a1),a87))+~E(x50292,f317(f93(a1),a87))+E(f317(f317(f75(a1),x50291),x50292),f72(a1))
% 192.07/191.93 [5040]E(x50401,f2(a903))+E(x50402,f2(a903))+~E(f317(f317(f74(a903),x50402),x50401),f317(a102,f2(a903)))
% 192.07/191.93 [5050]~P93(x50501)+~P61(x50501)+E(f317(f317(f281(x50501),x50502),f317(f93(x50501),a77)),f2(x50501))
% 192.07/191.93 [5057]~P142(x50571)+~E(x50572,f317(f73(x50571),f72(x50571)))+E(f317(f317(f75(x50571),x50572),x50572),f72(x50571))
% 192.07/191.93 [5062]~P7(x50622)+~P7(x50621)+P7(f317(f317(f75(a1),x50621),x50622))
% 192.07/191.93 [5063]~P7(x50632)+~P7(x50631)+P7(f317(f317(f74(a1),x50631),x50632))
% 192.07/191.93 [5064]~P7(x50642)+~P7(x50641)+P7(f317(f317(f31(a1),x50641),x50642))
% 192.07/191.93 [5066]~E(x50662,f2(a1))+E(x50661,f2(a1))+E(f42(x50661,x50662),f317(f317(f242(a1,a1),f2(a1)),x50661))
% 192.07/191.93 [5089]~E(x50892,f317(a102,f2(a903)))+~E(x50891,f317(a102,f2(a903)))+E(f317(f317(f75(a903),x50891),x50892),f317(a102,f2(a903)))
% 192.07/191.93 [5106]E(x51061,f2(a903))+E(x51062,f317(a102,f2(a903)))+~E(f317(f317(f234(a903),x51062),x51061),f317(a102,f2(a903)))
% 192.07/191.93 [5107]E(x51071,f2(a903))+E(x51071,f317(a102,f2(a903)))+~E(f317(f317(f74(a903),x51072),x51071),f317(a102,f2(a903)))
% 192.07/191.93 [5108]E(x51081,f2(a903))+E(x51081,f317(a102,f2(a903)))+~E(f317(f317(f74(a903),x51081),x51082),f317(a102,f2(a903)))
% 192.07/191.93 [5117]~P93(x51171)+~P61(x51171)+E(f317(f317(f281(x51171),x51172),f317(f93(x51171),a87)),f317(f73(x51171),x51172))
% 192.07/191.93 [5137]E(x51371,f317(a94,x51372))+~E(x51371,f2(a903))+P2(f317(f317(f226(a1),f2(a1)),x51372))
% 192.07/191.93 [5138]E(f317(a94,x51381),x51382)+~E(x51382,f2(a903))+P2(f317(f317(f226(a1),f2(a1)),x51381))
% 192.07/191.93 [5154]E(x51541,f317(a102,f2(a903)))+E(x51542,f317(a102,f2(a903)))+~E(f317(f317(f74(a903),x51541),x51542),f317(a102,f2(a903)))
% 192.07/191.93 [5165]~E(x51651,f317(a94,x51652))+E(x51651,f2(a903))+P2(f317(f317(f226(a1),f2(a1)),x51652))
% 192.07/191.93 [5166]~E(f317(a94,x51662),x51661)+E(x51661,f2(a903))+P2(f317(f317(f226(a1),f2(a1)),x51662))
% 192.07/191.93 [5189]~P102(x51891)+E(f317(f58(x51891,f100(x51891)),x51892),f12(x51891,x51892))+~P2(f317(f29(x51891),x51892))
% 192.07/191.93 [5190]~P102(x51901)+E(f317(f58(x51901,f91(x51901)),x51902),f13(x51901,x51902))+~P2(f317(f29(x51901),x51902))
% 192.07/191.93 [5191]~P108(x51911)+E(f317(f58(x51911,f224(x51911)),x51912),f16(x51911,x51912))+~P2(f317(f29(x51911),x51912))
% 192.07/191.93 [5192]~P108(x51921)+E(f317(f58(x51921,f225(x51921)),x51922),f17(x51921,x51922))+~P2(f317(f29(x51921),x51922))
% 192.07/191.93 [5269]E(x52691,x52692)+~E(f317(f317(f3(a903),x52692),x52691),f2(a903))+~E(f317(f317(f3(a903),x52691),x52692),f2(a903))
% 192.07/191.93 [5286]P7(x52861)+~P40(x52862)+~P2(f317(f317(f319(a1),x52861),x52862))
% 192.07/191.93 [5317]~P117(x53171)+~E(f76(x53171,x53172),f72(x53171))+P2(f317(f317(f227(x53171),f2(x53171)),x53172))
% 192.07/191.93 [5328]~P93(x53281)+E(f317(f90(x53281),f317(f93(a903),x53282)),f317(f93(x53281),x53282))+P2(f317(a183,f317(f93(a1),x53282)))
% 192.07/191.93 [5333]~P44(x53331,x53332)+P45(a898)+P2(f317(f29(f909(x53331,x53331)),x53332))
% 192.07/191.93 [5403]~P108(x54031)+E(f317(f58(x54031,f224(x54031)),x54032),f14(x54031,f224(x54031),x54032))+~P2(f317(f29(x54031),x54032))
% 192.07/191.93 [5404]~P108(x54041)+E(f317(f58(x54041,f225(x54041)),x54042),f15(x54041,f225(x54041),x54042))+~P2(f317(f29(x54041),x54042))
% 192.07/191.93 [5419]E(x54191,x54192)+P2(f317(f317(f227(a903),x54192),x54191))+P2(f317(f317(f227(a903),x54191),x54192))
% 192.07/191.93 [5420]E(x54201,x54202)+P2(f317(f317(f227(a1),x54202),x54201))+P2(f317(f317(f227(a1),x54201),x54202))
% 192.07/191.93 [5475]~P93(x54751)+E(f317(f90(x54751),f317(f93(a903),x54752)),f2(x54751))+~P2(f317(a183,f317(f93(a1),x54752)))
% 192.07/191.93 [5478]~E(x54782,f317(a94,x54781))+E(x54781,f317(f90(a1),x54782))+~P2(f317(f317(f226(a1),f2(a1)),x54781))
% 192.07/191.93 [5479]~E(f317(a94,x54791),x54792)+E(x54791,f317(f90(a1),x54792))+~P2(f317(f317(f226(a1),f2(a1)),x54791))
% 192.07/191.93 [5480]~E(x54801,f317(a94,x54802))+E(f317(f90(a1),x54801),x54802)+~P2(f317(f317(f226(a1),f2(a1)),x54802))
% 192.07/191.93 [5490]E(x54901,f317(a94,x54902))+~E(x54902,f317(f90(a1),x54901))+~P2(f317(f317(f226(a1),f2(a1)),x54902))
% 192.07/191.93 [5491]E(f317(a94,x54911),x54912)+~E(x54911,f317(f90(a1),x54912))+~P2(f317(f317(f226(a1),f2(a1)),x54911))
% 192.07/191.93 [5522]~P118(x55222)+E(x55221,f2(x55222))+~P2(f317(f317(f277(x55222),f2(x55222)),x55221))
% 192.07/191.93 [5533]~P85(x55332)+E(x55331,f2(x55332))+P2(f317(f317(f227(x55332),f2(x55332)),f317(f70(x55332),x55331)))
% 192.07/191.93 [5598]~P117(x55981)+E(f76(x55981,x55982),f72(x55981))+~P2(f317(f317(f227(x55981),f2(x55981)),x55982))
% 192.07/191.93 [5604]~P93(x56041)+E(f317(f90(x56041),f317(f93(a903),x56042)),f2(x56041))+P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x56042)))
% 192.07/191.93 [5615]~P85(x56151)+E(f317(f70(x56151),x56152),x56152)+~P2(f317(f317(f226(x56151),f2(x56151)),x56152))
% 192.07/191.93 [5616]~P85(x56161)+E(f317(f70(x56161),x56162),x56162)+~P2(f317(f317(f227(x56161),f2(x56161)),x56162))
% 192.07/191.93 [5625]E(x56251,f2(a903))+~E(f129(a903,f317(f292(a903,x56252),x56251)),f103(a903))+P2(f317(f317(f226(a903),x56251),x56252))
% 192.07/191.93 [5635]~P75(x56351)+E(f317(f317(f8(x56351,x56351),f7(x56351)),f317(f162(x56351),x56352)),f317(f155(x56351),x56352))+~P2(f317(f127(x56351),x56352))
% 192.07/191.93 [5638]~P141(x56381)+E(f317(f90(x56381),f317(a94,x56382)),f317(f92(x56381),x56382))+~P2(f317(f317(f226(a1),f2(a1)),x56382))
% 192.07/191.93 [5665]E(x56651,x56652)+P2(f317(f317(f227(a903),x56651),x56652))+~P2(f317(f317(f226(a903),x56651),x56652))
% 192.07/191.93 [5666]E(x56661,x56662)+P2(f317(f317(f227(a1),x56661),x56662))+~P2(f317(f317(f226(a1),x56661),x56662))
% 192.07/191.93 [5669]E(x56691,f72(a1))+~E(f317(f317(f75(a1),x56692),x56691),f72(a1))+~P2(f317(f317(f227(a1),f2(a1)),x56692))
% 192.07/191.93 [5670]E(x56701,f72(a1))+~E(f317(f317(f75(a1),x56701),x56702),f72(a1))+~P2(f317(f317(f227(a1),f2(a1)),x56701))
% 192.07/191.93 [5711]~P40(x57112)+P2(f317(f317(f226(a1),f2(a1)),x57111))+~P2(f317(f317(f319(a1),x57111),x57112))
% 192.07/191.93 [5730]~P57(x57301,x57302)+P37(x57301,x57302)+~P2(f317(f29(f909(x57301,x57301)),x57302))
% 192.07/191.93 [5732]~P57(x57321,x57322)+P44(x57321,x57322)+~P2(f317(f29(f909(x57321,x57321)),x57322))
% 192.07/191.93 [5774]E(x57741,f178(f910(x57742,a898)))+~P2(f317(f29(x57742),x57741))+P2(f317(f317(f227(a903),f2(a903)),f317(f30(x57742),x57741)))
% 192.07/191.93 [5801]~P2(f317(x58011,x58012))+P2(f317(x58011,f2(a903)))+P2(f317(f317(f227(a903),f825(x58012,x58011)),x58012))
% 192.07/191.93 [5824]E(x58241,f2(a903))+~E(f317(f155(a903),x58242),f2(a903))+~P2(f317(f317(f319(a903),x58241),f317(f162(a903),x58242)))
% 192.07/191.93 [5892]E(x58921,x58922)+~P2(f317(f317(f226(a903),x58922),x58921))+~P2(f317(f317(f226(a903),x58921),x58922))
% 192.07/191.93 [5893]E(x58931,x58932)+~P2(f317(f317(f226(a1),x58932),x58931))+~P2(f317(f317(f226(a1),x58931),x58932))
% 192.07/191.93 [5902]E(x59021,x59022)+~P2(f317(f317(f277(a903),x59022),x59021))+~P2(f317(f317(f277(a903),x59021),x59022))
% 192.07/191.93 [5904]E(f317(f30(x59041),x59042),f2(a903))+~P2(f317(f29(x59041),x59042))+P2(f317(f317(f319(x59041),f836(x59042,x59041)),x59042))
% 192.07/191.93 [5913]E(f46(x59131,x59132),f42(x59131,x59132))+P2(f317(f317(f226(a1),f2(a1)),x59131))+~P2(f317(f317(f227(a1),f2(a1)),x59132))
% 192.07/191.93 [5939]~P2(f317(x59391,f868(x59391)))+P2(f317(x59391,f317(a94,x59392)))+~P2(f317(f317(f226(a1),f2(a1)),x59392))
% 192.07/191.93 [5942]P2(f317(f317(f226(a903),x59421),f682(x59422)))+~P2(f317(f29(a903),x59422))+~P2(f317(f317(f319(a903),x59421),x59422))
% 192.07/191.93 [5943]P2(f317(f317(f227(a903),x59431),f712(x59432)))+~P2(f317(f29(a903),x59432))+~P2(f317(f317(f319(a903),x59431),x59432))
% 192.07/191.93 [5974]E(x59741,x59742)+~P2(f317(f317(f227(a903),x59741),f317(a102,x59742)))+P2(f317(f317(f227(a903),x59741),x59742))
% 192.07/191.93 [6011]E(x60111,f317(a102,x60112))+~P2(f317(f317(f226(a903),x60111),f317(a102,x60112)))+P2(f317(f317(f226(a903),x60111),x60112))
% 192.07/191.93 [6027]P2(f317(x60271,f869(x60271)))+~P2(f317(x60271,f317(a94,x60272)))+~P2(f317(f317(f226(a1),f2(a1)),x60272))
% 192.07/191.93 [6043]~P2(f317(x60431,x60432))+~P2(f317(f317(f226(a1),f2(a1)),x60432))+P2(f317(x60431,f317(f90(a1),f847(x60431))))
% 192.07/191.93 [6054]~P85(x60542)+~E(x60541,f2(x60542))+~P2(f317(f317(f227(x60542),f2(x60542)),f317(f70(x60542),x60541)))
% 192.07/191.93 [6079]~P57(x60791,x60792)+P37(x60791,f317(f276(x60791,x60791),x60792))+~P2(f317(f29(f909(x60791,x60791)),x60792))
% 192.07/191.93 [6088]~P93(x60881)+E(f317(f90(x60881),f317(f93(a903),x60882)),f317(f93(x60881),x60882))+~P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x60882)))
% 192.07/191.93 [6091]E(f317(a102,x60911),x60912)+~P2(f317(f317(f227(a903),x60911),x60912))+P2(f317(f317(f227(a903),f317(a102,x60911)),x60912))
% 192.07/191.93 [6107]E(f317(f317(f31(a1),x61071),x61072),f2(a1))+~P2(f317(f317(f226(a1),x61071),f2(a1)))+~P2(f317(f317(f227(a1),x61072),x61071))
% 192.07/191.93 [6119]E(f41(a1,x61191,x61192),x61191)+~P2(f317(f317(f226(a1),x61191),f2(a1)))+~P2(f317(f317(f227(a1),x61192),x61191))
% 192.07/191.93 [6133]E(f43(x61331,x61332),f42(x61331,x61332))+~P2(f317(f317(f226(a1),f2(a1)),x61331))+~P2(f317(f317(f226(a1),f2(a1)),x61332))
% 192.07/191.93 [6143]E(f317(f317(f31(a1),x61431),x61432),f2(a1))+~P2(f317(f317(f226(a1),f2(a1)),x61431))+~P2(f317(f317(f227(a1),x61431),x61432))
% 192.07/191.93 [6154]E(f41(a903,f317(f93(a903),x61541),f317(f93(a903),x61542)),f317(f93(a903),x61541))+P2(f317(a183,f317(f93(a1),x61541)))+~P2(f317(a183,f317(f93(a1),x61542)))
% 192.07/191.93 [6156]E(f41(a1,x61561,x61562),x61561)+~P2(f317(f317(f226(a1),f2(a1)),x61561))+~P2(f317(f317(f227(a1),x61561),x61562))
% 192.07/191.93 [6157]E(x61571,x61572)+~P2(f317(f317(f227(a903),x61571),f317(a102,x61572)))+~P2(f317(f317(f226(a903),x61572),x61571))
% 192.07/191.93 [6171]~P77(x61711)+~P2(f317(f317(f226(x61711),x61712),f2(x61711)))+P2(f317(f317(f226(x61711),x61712),f317(f73(x61711),x61712)))
% 192.07/191.93 [6172]~P117(x61721)+~P2(f317(f317(f227(x61721),x61722),f2(x61721)))+P2(f317(f317(f227(x61721),x61722),f317(f73(x61721),x61722)))
% 192.07/191.93 [6181]~P6(x61811)+E(f317(f317(f59(x61811,x61811,f100(x61811)),f178(x61811)),x61812),f32(x61811,x61812))+~P2(f317(f29(x61811),x61812))
% 192.07/191.93 [6182]~P6(x61821)+E(f317(f317(f59(x61821,x61821,f91(x61821)),f232(x61821)),x61822),f33(x61821,x61822))+~P2(f317(f29(x61821),x61822))
% 192.07/191.93 [6199]~P117(x61991)+~P2(f317(f317(f226(a1),f2(a1)),x61992))+P2(f317(f317(f226(x61991),f2(x61991)),f317(f92(x61991),x61992)))
% 192.07/191.93 [6200]~P110(x62001)+~P2(f317(f317(f227(a903),f2(a903)),x62002))+P2(f317(f317(f227(x62001),f2(x62001)),f317(f90(x62001),x62002)))
% 192.07/191.93 [6201]~P117(x62011)+~P2(f317(f317(f227(a1),f2(a1)),x62012))+P2(f317(f317(f227(x62011),f2(x62011)),f317(f92(x62011),x62012)))
% 192.07/191.93 [6204]~P7(x62042)+~P7(x62041)+E(f317(f300(a903,a1,f90(a1)),f293(a903,f317(a94,x62041),f317(a94,x62042))),f293(a1,x62041,x62042))
% 192.07/191.93 [6210]P2(f317(x62101,x62102))+~P2(f317(f317(f226(a1),f2(a1)),x62102))+~P2(f317(x62101,f317(f90(a1),f860(x62101))))
% 192.07/191.93 [6242]E(f317(f317(f74(a903),f317(f93(a903),x62421)),f317(f93(a903),x62422)),f317(f93(a903),x62421))+P2(f317(f317(f227(a1),x62421),a77))+~P2(f317(f317(f227(a1),x62422),a77))
% 192.07/191.93 [6246]~P117(x62461)+P2(f317(f317(f227(x62461),f2(x62461)),f76(x62461,x62462)))+~P2(f317(f317(f227(x62461),f2(x62461)),x62462))
% 192.07/191.93 [6260]~P79(x62601)+~P2(f317(f317(f226(x62601),x62602),f2(x62601)))+P2(f317(f317(f226(x62601),f2(x62601)),f317(f73(x62601),x62602)))
% 192.07/191.93 [6261]~P79(x62611)+~P2(f317(f317(f227(x62611),x62612),f2(x62611)))+P2(f317(f317(f227(x62611),f2(x62611)),f317(f73(x62611),x62612)))
% 192.07/191.93 [6264]E(x62641,f232(f910(x62642,a898)))+~E(f317(f30(x62642),x62641),f317(f30(x62642),f232(f910(x62642,a898))))+~P2(f317(f29(x62642),f232(f910(x62642,a898))))
% 192.07/191.93 [6290]~P2(f317(f317(f227(a903),f2(a903)),x62902))+~P2(f317(f317(f277(a903),x62901),x62902))+P2(f317(f317(f226(a903),x62901),x62902))
% 192.07/191.93 [6297]~P77(x62971)+P2(f317(f317(f226(x62971),x62972),f2(x62971)))+~P2(f317(f317(f226(x62971),x62972),f317(f73(x62971),x62972)))
% 192.07/191.93 [6298]~P117(x62981)+P2(f317(f317(f227(x62981),x62982),f2(x62981)))+~P2(f317(f317(f227(x62981),x62982),f317(f73(x62981),x62982)))
% 192.07/191.93 [6307]~P93(x63071)+P2(f317(f317(f319(x63071),f317(f93(x63071),x63072)),f176(x63071)))+~P2(f317(f317(f226(a1),a77),x63072))
% 192.07/191.93 [6336]E(x63361,f2(a903))+~P2(f317(f317(f227(a903),x63361),f317(a102,x63362)))+P2(f317(f317(f227(a903),f767(x63362,x63361)),x63362))
% 192.07/191.93 [6339]~P1(x63392)+P149(x63391,f317(f317(f299(a897),f914(x63392)),f178(f910(a897,a898))))+P2(f317(f317(f319(a900),f535(x63391,x63392)),a911))
% 192.07/191.93 [6361]~P117(x63611)+~P2(f317(f317(f227(x63611),f2(x63611)),f76(x63611,x63612)))+P2(f317(f317(f227(x63611),f2(x63611)),x63612))
% 192.07/191.93 [6363]~E(f317(f93(a903),x63632),f317(f93(a903),x63631))+P2(f317(f317(f226(a1),f317(f93(a1),x63631)),f2(a1)))+~P2(f317(a183,f317(f93(a1),x63632)))
% 192.07/191.93 [6393]E(f317(f241(a1,a1),f46(x63931,x63932)),f317(f317(f31(a1),x63931),x63932))+~P2(f317(f317(f227(a1),x63931),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x63932))
% 192.07/191.93 [6433]E(f317(f246(a1,a1),f46(x64331,x64332)),f41(a1,x64331,x64332))+~P2(f317(f317(f227(a1),x64331),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x64332))
% 192.07/191.93 [6436]~P117(x64362)+~P2(f317(f317(f226(x64362),f2(x64362)),f317(f92(x64362),x64361)))+P2(f317(f317(f226(a1),f2(a1)),x64361))
% 192.07/191.93 [6437]~P110(x64372)+~P2(f317(f317(f227(x64372),f2(x64372)),f317(f90(x64372),x64371)))+P2(f317(f317(f227(a903),f2(a903)),x64371))
% 192.07/191.93 [6438]~P117(x64382)+~P2(f317(f317(f227(x64382),f2(x64382)),f317(f92(x64382),x64381)))+P2(f317(f317(f227(a1),f2(a1)),x64381))
% 192.07/191.93 [6441]E(f317(f241(a1,a1),f43(x64411,x64412)),f317(f317(f31(a1),x64411),x64412))+~P2(f317(f317(f226(a1),f2(a1)),x64412))+~P2(f317(f317(f227(a1),f2(a1)),x64411))
% 192.07/191.93 [6455]E(f317(f246(a1,a1),f43(x64551,x64552)),f41(a1,x64551,x64552))+~P2(f317(f317(f226(a1),f2(a1)),x64552))+~P2(f317(f317(f227(a1),f2(a1)),x64551))
% 192.07/191.93 [6471]~P79(x64711)+P2(f317(f317(f226(x64711),x64712),f2(x64711)))+~P2(f317(f317(f226(x64711),f2(x64711)),f317(f73(x64711),x64712)))
% 192.07/191.93 [6472]~P79(x64721)+P2(f317(f317(f227(x64721),x64722),f2(x64721)))+~P2(f317(f317(f227(x64721),f2(x64721)),f317(f73(x64721),x64722)))
% 192.07/191.93 [6498]P2(f317(f45(x64981,x64982),f46(x64981,x64982)))+~P2(f317(f317(f227(a1),x64981),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x64982))
% 192.07/191.93 [6512]~P2(f317(f317(f227(a903),f2(a903)),x65121))+~P2(f317(f317(f277(a903),x65122),x65121))+~P2(f317(f317(f227(a903),x65121),x65122))
% 192.07/191.93 [6525]P2(f317(f45(x65251,x65252),f43(x65251,x65252)))+~P2(f317(f317(f226(a1),f2(a1)),x65251))+~P2(f317(f317(f227(a1),f2(a1)),x65252))
% 192.07/191.93 [6568]~P79(x65681)+P2(f317(f317(f226(x65681),f317(f73(x65681),x65682)),f2(x65681)))+~P2(f317(f317(f226(x65681),f2(x65681)),x65682))
% 192.07/191.93 [6569]~P79(x65691)+P2(f317(f317(f227(x65691),f317(f73(x65691),x65692)),f2(x65691)))+~P2(f317(f317(f227(x65691),f2(x65691)),x65692))
% 192.07/191.93 [6590]E(f317(f317(f3(a903),f317(a94,x65901)),f317(a94,x65902)),f317(a94,f184(x65901,x65902)))+~P2(f317(f317(f226(a1),f2(a1)),x65902))+~P2(f317(f317(f226(a1),f2(a1)),x65901))
% 192.07/191.93 [6608]P2(f317(f317(f226(a1),f2(a1)),f184(x66081,x66082)))+~P2(f317(f317(f226(a1),f2(a1)),x66082))+~P2(f317(f317(f226(a1),f2(a1)),x66081))
% 192.07/191.93 [6645]~P2(f317(x66451,x66452))+P2(f317(x66451,f2(a903)))+P2(f317(x66451,f317(f317(f74(a903),f825(x66452,x66451)),f72(a903))))
% 192.07/191.93 [6730]E(f317(f93(a903),x67301),f317(f93(a903),x67302))+~P2(f317(f317(f226(a1),f317(f93(a1),x67302)),f2(a1)))+~P2(f317(a183,f317(f93(a1),x67301)))
% 192.07/191.93 [6744]~E(x67441,f2(a903))+~E(f596(x67442,x67441),f2(a903))+E(f317(f132(a903,a903,f74(a903),x67441),x67442),f2(a903))
% 192.07/191.93 [6768]~P2(f317(f29(x67681),f378(x67682,x67681)))+~P2(f317(f29(f910(x67681,a898)),x67682))+P2(f317(f29(x67681),f32(f910(x67681,a898),x67682)))
% 192.07/191.93 [6774]E(x67741,x67742)+P2(f317(f317(f227(a1),x67741),x67742))+~P2(f317(f317(f227(a1),x67741),f317(f317(f74(a1),x67742),f72(a1))))
% 192.07/191.93 [6775]P2(f317(f317(f226(a903),f317(a94,x67751)),f317(a94,x67752)))+~P2(f317(f317(f226(a1),f2(a1)),x67752))+~P2(f317(f317(f226(a1),x67751),x67752))
% 192.07/191.93 [6776]P2(f317(f317(f226(a903),f317(a94,x67761)),f317(a94,x67762)))+~P2(f317(f317(f227(a1),f2(a1)),x67761))+~P2(f317(f317(f226(a1),x67761),x67762))
% 192.07/191.93 [6778]P2(f317(f317(f227(a903),f317(a94,x67781)),f317(a94,x67782)))+~P2(f317(f317(f226(a1),f2(a1)),x67781))+~P2(f317(f317(f227(a1),x67781),x67782))
% 192.07/191.93 [6779]P2(f317(f317(f227(a903),f317(a94,x67791)),f317(a94,x67792)))+~P2(f317(f317(f227(a1),f2(a1)),x67792))+~P2(f317(f317(f227(a1),x67791),x67792))
% 192.07/191.93 [6790]E(f41(a903,f317(a94,x67901),f317(a94,x67902)),f317(a94,f41(a1,x67901,x67902)))+~P2(f317(f317(f226(a1),f2(a1)),x67902))+~P2(f317(f317(f226(a1),f2(a1)),x67901))
% 192.07/191.93 [6815]~P79(x68151)+~P2(f317(f317(f226(x68151),f317(f73(x68151),x68152)),f2(x68151)))+P2(f317(f317(f226(x68151),f2(x68151)),x68152))
% 192.07/191.93 [6816]~P79(x68161)+~P2(f317(f317(f227(x68161),f317(f73(x68161),x68162)),f2(x68161)))+P2(f317(f317(f227(x68161),f2(x68161)),x68162))
% 192.07/191.93 [6831]~P2(f317(f317(f227(a1),a77),x68312))+~P2(f317(f317(f227(a1),x68311),x68312))+P2(f317(f317(f227(a903),f317(f93(a903),x68311)),f317(f93(a903),x68312)))
% 192.07/191.93 [6925]~P2(f317(f317(f226(a1),f2(a1)),x69251))+P2(f317(f317(f227(a903),f317(a94,x69251)),x69252))+~P2(f317(f317(f227(a1),x69251),f317(f90(a1),x69252)))
% 192.07/191.93 [6930]P2(f317(x69301,x69302))+~P2(f317(x69301,f317(a22,f799(x69301,x69302))))+~P2(f317(f317(f319(a903),x69302),f232(f910(a903,a898))))
% 192.07/191.93 [6941]E(x69411,f2(a1))+E(f41(a1,x69412,x69411),f2(a1))+E(f317(f317(f3(a1),f317(f73(a1),f317(f317(f31(a1),x69412),x69411))),f72(a1)),f317(f317(f31(a1),x69412),f317(f73(a1),x69411)))
% 192.07/191.93 [6955]~P2(f317(f317(f226(a1),f2(a1)),x69551))+~P2(f317(f317(f227(a903),f317(a94,x69551)),x69552))+P2(f317(f317(f227(a1),x69551),f317(f90(a1),x69552)))
% 192.07/191.93 [6991]~P2(f317(f317(f226(a903),f317(a94,x69911)),f317(a94,x69912)))+~P2(f317(f317(f226(a1),f2(a1)),x69912))+P2(f317(f317(f226(a1),x69911),x69912))
% 192.07/191.93 [6992]~P2(f317(f317(f226(a903),f317(a94,x69921)),f317(a94,x69922)))+~P2(f317(f317(f227(a1),f2(a1)),x69921))+P2(f317(f317(f226(a1),x69921),x69922))
% 192.07/191.93 [7023]P2(f317(f317(f226(a1),x70231),x70232))+~P2(f317(f317(f226(a903),f317(f93(a903),x70231)),f317(f93(a903),x70232)))+P2(f317(f317(f226(a1),x70231),a77))
% 192.07/191.93 [7049]P2(f317(f317(f226(a1),f2(a1)),f41(a1,x70491,x70492)))+~P2(f317(f317(f226(a1),f2(a1)),x70492))+~P2(f317(f317(f226(a1),f2(a1)),x70491))
% 192.07/191.93 [7147]P2(f317(f317(f227(a1),a77),x71471))+~P2(f317(f317(f227(a1),x71472),x71471))+~P2(f317(f317(f227(a903),f317(f93(a903),x71472)),f317(f93(a903),x71471)))
% 192.07/191.93 [7201]E(f317(f317(f242(a1,a1),f317(f317(f31(a1),x72011),x72012)),f41(a1,x72011,x72012)),f46(x72011,x72012))+~P2(f317(f317(f227(a1),x72011),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x72012))
% 192.07/191.93 [7221]E(f317(f317(f242(a1,a1),f317(f317(f31(a1),x72211),x72212)),f41(a1,x72211,x72212)),f43(x72211,x72212))+~P2(f317(f317(f226(a1),f2(a1)),x72212))+~P2(f317(f317(f226(a1),f2(a1)),x72211))
% 192.07/191.93 [7275]~P97(x72752)+E(x72751,f103(x72752))+E(f317(f132(x72752,x72752,f75(x72752),f317(f131(x72752),x72751)),f317(f161(x72752),x72751)),f317(f58(x72752,f75(x72752)),f317(f162(x72752),x72751)))
% 192.07/191.93 [7390]~E(x73901,f2(a903))+E(f317(f132(a903,a903,f74(a903),x73901),x73902),f2(a903))+P2(f317(f317(f319(a903),f596(x73902,x73901)),f317(f162(a903),x73902)))
% 192.07/191.93 [7443]~P2(f317(f317(f226(a1),x74431),f2(a1)))+P2(f317(f317(f226(a1),f317(f317(f31(a1),x74431),x74432)),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x74432))
% 192.07/191.93 [7444]~P2(f317(f317(f227(a1),x74442),f2(a1)))+P2(f317(f317(f226(a1),f317(f317(f31(a1),x74441),x74442)),f2(a1)))+~P2(f317(f317(f226(a1),f2(a1)),x74441))
% 192.07/191.93 [7445]~P2(f317(f317(f227(a1),x74452),f2(a1)))+P2(f317(f317(f227(a1),f317(f317(f31(a1),x74451),x74452)),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x74451))
% 192.07/191.93 [7447]~P2(f317(f317(f227(a1),x74471),f2(a1)))+P2(f317(f317(f227(a1),f317(f317(f31(a1),x74471),x74472)),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x74472))
% 192.07/191.93 [7454]P2(f317(f317(f319(f910(x74541,a898)),f378(x74542,x74541)),x74542))+~P2(f317(f29(f910(x74541,a898)),x74542))+P2(f317(f29(x74541),f32(f910(x74541,a898),x74542)))
% 192.07/191.93 [7544]P25(x75441,x75441,x75442,f232(f910(x75441,a898)))+~E(f317(f300(x75441,x75441,x75442),f232(f910(x75441,a898))),f232(f910(x75441,a898)))+~P2(f317(f29(x75441),f232(f910(x75441,a898))))
% 192.07/191.93 [7665]~P25(x76651,x76651,x76652,f232(f910(x76651,a898)))+E(f317(f300(x76651,x76651,x76652),f232(f910(x76651,a898))),f232(f910(x76651,a898)))+~P2(f317(f29(x76651),f232(f910(x76651,a898))))
% 192.07/191.93 [7805]E(f317(f317(f31(a1),x78051),x78052),f317(f93(a1),a87))+~P2(f317(f317(f226(a1),f317(f317(f74(a1),x78051),x78052)),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x78051))
% 192.07/191.93 [7862]~P2(f317(f317(f227(a1),x78622),f2(a1)))+~P2(f317(f317(f227(a1),f317(f317(f31(a1),x78621),x78622)),f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x78621))
% 192.07/191.93 [7867]E(f317(f317(f74(a1),x78671),x78672),f41(a1,x78671,x78672))+~P2(f317(f317(f226(a1),f317(f317(f74(a1),x78671),x78672)),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x78671))
% 192.07/191.93 [7870]P2(f317(f317(f227(a1),x78701),f2(a1)))+~P2(f317(f317(f227(a1),f317(f317(f31(a1),x78701),x78702)),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x78702))
% 192.07/191.93 [7886]~P1(x78862)+P149(x78861,f317(f317(f299(a897),f914(x78862)),f178(f910(a897,a898))))+~P149(x78861,f317(f317(f299(a897),f317(a913,f535(x78861,x78862))),f178(f910(a897,a898))))
% 192.07/191.93 [8568]~P108(x85681)+P14(x85681,x85682)+~P2(f317(f317(f226(x85681),f317(f317(f154(x85681),x85682),f629(x85682,x85681))),f317(f317(f154(x85681),x85682),f630(x85682,x85681))))
% 192.07/191.93 [8569]~P108(x85691)+P14(x85691,x85692)+~P2(f317(f317(f226(x85691),f317(f317(f154(x85691),x85692),f637(x85692,x85691))),f317(f317(f154(x85691),x85692),f641(x85692,x85691))))
% 192.07/191.93 [5767]E(x57671,f2(a1))+~E(f41(a1,x57672,x57671),f2(a1))+E(f317(f317(f31(a1),x57672),f317(f73(a1),x57671)),f317(f73(a1),f317(f317(f31(a1),x57672),x57671)))
% 192.07/191.93 [5785]~P40(x57852)+~P40(x57851)+P40(f317(f317(f100(f910(a1,a898)),x57851),x57852))
% 192.07/191.93 [5786]~P40(x57862)+~P40(x57861)+P40(f317(f317(f91(f910(a1,a898)),x57861),x57862))
% 192.07/191.93 [5804]~P93(x58041)+~P61(x58041)+E(f317(f73(x58041),f317(f317(f281(x58041),f72(x58041)),x58042)),f317(f317(f281(x58041),f317(f93(x58041),a87)),x58042))
% 192.07/191.93 [5931]E(x59311,f2(a1))+~E(f41(a1,x59312,x59311),f2(a1))+E(f317(f317(f31(a1),f317(f73(a1),x59312)),x59311),f317(f73(a1),f317(f317(f31(a1),x59312),x59311)))
% 192.07/191.93 [6073]~P108(x60731)+P14(x60731,x60732)+P2(f317(f317(f227(a903),f630(x60732,x60731)),f317(f179(f904(x60731)),x60732)))
% 192.07/191.93 [6074]~P108(x60741)+P14(x60741,x60742)+P2(f317(f317(f227(a903),f641(x60742,x60741)),f317(f179(f904(x60741)),x60742)))
% 192.07/191.93 [6236]~P93(x62361)+~E(f317(f93(x62361),x62362),f2(x62361))+P28(x62361,f317(f93(x62361),f317(f317(f74(a1),x62362),f317(f73(a1),a77))))
% 192.07/191.93 [6237]~P93(x62371)+~E(f317(f93(x62371),x62372),f2(x62371))+P28(x62371,f317(f93(x62371),f317(f317(f74(a1),a77),f317(f73(a1),x62372))))
% 192.07/191.93 [6239]E(f317(a47,f43(f317(f73(a1),x62391),f317(f73(a1),x62392))),f42(x62391,x62392))+P2(f317(f317(f226(a1),f2(a1)),x62391))+P2(f317(f317(f227(a1),f2(a1)),x62392))
% 192.07/191.93 [6369]~E(x63692,f2(a903))+~E(x63691,f2(a903))+P2(f317(f317(f226(a1),f317(f90(a1),x63691)),f317(f73(a1),f317(f90(a1),x63692))))
% 192.07/191.93 [6399]E(f317(f317(f74(a903),f317(f93(a903),x63991)),f317(f93(a903),x63992)),f317(f93(a903),f317(f317(f74(a1),x63991),x63992)))+P2(f317(f317(f227(a1),x63991),a77))+P2(f317(f317(f227(a1),x63992),a77))
% 192.07/191.93 [6534]~P77(x65341)+~P2(f317(f317(f226(x65341),f2(x65341)),x65342))+P2(f317(f317(f226(x65341),f317(f73(x65341),x65342)),x65342))
% 192.07/191.93 [6535]~P77(x65351)+~P2(f317(f317(f227(x65351),f2(x65351)),x65352))+P2(f317(f317(f227(x65351),f317(f73(x65351),x65352)),x65352))
% 192.07/191.93 [6716]E(f317(f317(f3(a903),f317(a94,x67161)),f317(a94,x67162)),f317(a94,f317(f317(f3(a1),x67161),x67162)))+~P2(f317(f317(f226(a1),f2(a1)),x67162))+~P2(f317(f317(f226(a1),x67162),x67161))
% 192.07/191.93 [6752]E(f317(a94,f41(a1,f317(f93(a1),x67521),f317(f93(a1),x67522))),f41(a903,f317(f93(a903),x67521),f317(f93(a903),x67522)))+P2(f317(a183,f317(f93(a1),x67521)))+P2(f317(a183,f317(f93(a1),x67522)))
% 192.07/191.93 [6769]~P77(x67691)+P2(f317(f317(f226(x67691),f2(x67691)),x67692))+~P2(f317(f317(f226(x67691),f317(f73(x67691),x67692)),x67692))
% 192.07/191.93 [6770]~P77(x67701)+P2(f317(f317(f227(x67701),f2(x67701)),x67702))+~P2(f317(f317(f227(x67701),f317(f73(x67701),x67702)),x67702))
% 192.07/191.93 [6782]~P77(x67821)+~P2(f317(f317(f226(x67821),f2(x67821)),x67822))+P2(f317(f317(f226(x67821),f2(x67821)),f317(f317(f74(x67821),x67822),x67822)))
% 192.07/191.93 [6784]~P77(x67841)+~P2(f317(f317(f227(x67841),f2(x67841)),x67842))+P2(f317(f317(f227(x67841),f2(x67841)),f317(f317(f74(x67841),x67842),x67842)))
% 192.07/191.93 [6797]E(f317(f317(f74(a903),f317(a94,x67971)),f317(a94,x67972)),f317(a94,f317(f317(f74(a1),x67971),x67972)))+~P2(f317(f317(f226(a1),f2(a1)),x67972))+~P2(f317(f317(f226(a1),f2(a1)),x67971))
% 192.07/191.93 [6808]E(x68081,f2(a903))+P2(f317(f317(f227(a903),f2(a903)),x68082))+~P2(f317(f317(f227(a903),f2(a903)),f317(f317(f234(a903),x68082),x68081)))
% 192.07/191.93 [6843]~P93(x68431)+E(f317(f93(x68431),x68432),f2(x68431))+~P28(x68431,f317(f93(x68431),f317(f317(f74(a1),a77),f317(f73(a1),x68432))))
% 192.07/191.93 [6844]~P93(x68441)+E(f317(f93(x68441),x68442),f2(x68441))+~P28(x68441,f317(f93(x68441),f317(f317(f74(a1),x68442),f317(f73(a1),a77))))
% 192.07/191.93 [6903]~P2(f317(f29(x69031),x69032))+~P2(f317(f29(x69031),f232(f910(x69031,a898))))+P2(f317(f29(x69031),f317(f73(f910(x69031,a898)),x69032)))
% 192.07/191.93 [6926]~P2(f317(f317(f227(a1),f2(a1)),x69262))+~P2(f317(f317(f226(a1),x69262),x69261))+P2(f317(f317(f227(a1),f2(a1)),f317(f317(f31(a1),x69261),x69262)))
% 192.07/191.93 [6927]~P2(f317(f317(f226(a1),x69271),f2(a1)))+~P2(f317(f317(f227(a1),x69272),f2(a1)))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f31(a1),x69271),x69272)))
% 192.07/191.93 [6965]~P2(f317(f317(f226(a1),f2(a1)),x69652))+~P2(f317(f317(f226(a1),f2(a1)),x69651))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f75(a1),x69651),x69652)))
% 192.07/191.93 [6966]~P2(f317(f317(f226(a1),f2(a1)),x69662))+~P2(f317(f317(f226(a1),f2(a1)),x69661))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f74(a1),x69661),x69662)))
% 192.07/191.93 [6967]~P2(f317(f317(f226(a1),f2(a1)),x69672))+~P2(f317(f317(f226(a1),f2(a1)),x69671))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f31(a1),x69671),x69672)))
% 192.07/191.93 [6968]~P2(f317(f317(f226(a1),f2(a1)),x69681))+~P2(f317(f317(f227(a1),f2(a1)),x69682))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f31(a1),x69681),x69682)))
% 192.07/191.93 [6969]~P2(f317(f317(f227(a903),f2(a903)),x69692))+~P2(f317(f317(f227(a903),f2(a903)),x69691))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f75(a903),x69691),x69692)))
% 192.07/191.93 [7036]E(x70361,f2(a1))+E(f41(a1,x70362,x70361),f2(a1))+E(f317(f317(f3(a1),f317(f73(a1),f317(f317(f31(a1),x70362),x70361))),f72(a1)),f317(f317(f31(a1),f317(f73(a1),x70362)),x70361))
% 192.07/191.93 [7093]P2(f317(f317(f227(a903),f2(a903)),x70931))+P2(f317(f317(f227(a903),f2(a903)),x70932))+~P2(f317(f317(f227(a903),f2(a903)),f317(f317(f74(a903),x70932),x70931)))
% 192.07/191.93 [7097]~P77(x70971)+P2(f317(f317(f226(x70971),f2(x70971)),x70972))+~P2(f317(f317(f226(x70971),f2(x70971)),f317(f317(f74(x70971),x70972),x70972)))
% 192.07/191.93 [7098]~P77(x70981)+P2(f317(f317(f227(x70981),f2(x70981)),x70982))+~P2(f317(f317(f227(x70981),f2(x70981)),f317(f317(f74(x70981),x70982),x70982)))
% 192.07/191.93 [7148]~P2(f317(f29(x71481),x71482))+P2(f317(f29(x71481),f232(f910(x71481,a898))))+~P2(f317(f29(x71481),f317(f73(f910(x71481,a898)),x71482)))
% 192.07/191.93 [7213]P2(f317(f317(f226(a1),x72131),f2(a1)))+~P2(f317(f317(f227(a1),x72132),f2(a1)))+~P2(f317(f317(f226(a1),f2(a1)),f317(f317(f31(a1),x72131),x72132)))
% 192.07/191.93 [7219]~P2(f317(f317(f227(a1),f2(a1)),x72191))+P2(f317(f317(f226(a1),x72191),x72192))+~P2(f317(f317(f227(a1),f2(a1)),f317(f317(f31(a1),x72192),x72191)))
% 192.07/191.93 [7220]~P2(f317(f317(f226(a1),f2(a1)),x72202))+P2(f317(f317(f226(a1),x72201),x72202))+~P2(f317(f317(f227(a1),f2(a1)),f317(f317(f31(a1),x72202),x72201)))
% 192.07/191.93 [7250]P2(f317(f317(f226(a1),f2(a1)),x72501))+~P2(f317(f317(f227(a1),f2(a1)),x72502))+~P2(f317(f317(f226(a1),f2(a1)),f317(f317(f31(a1),x72501),x72502)))
% 192.07/191.93 [7251]P2(f317(f317(f227(a1),f2(a1)),x72511))+~P2(f317(f317(f226(a1),f2(a1)),x72512))+~P2(f317(f317(f227(a1),f2(a1)),f317(f317(f31(a1),x72512),x72511)))
% 192.07/191.93 [7696]~P2(f317(f29(x76962),f232(f910(x76962,a898))))+~P2(f317(f29(x76961),f232(f910(x76961,a898))))+P2(f317(f29(f908(x76961,x76962)),f232(f910(f908(x76961,x76962),a898))))
% 192.07/191.93 [7697]~P2(f317(f29(x76972),f232(f910(x76972,a898))))+~P2(f317(f29(x76971),f232(f910(x76971,a898))))+P2(f317(f29(f909(x76971,x76972)),f232(f910(f909(x76971,x76972),a898))))
% 192.07/191.93 [7769]~P2(f317(f317(f227(a903),f317(a102,f2(a903))),x77691))+~P2(f317(f317(f227(a903),f317(a102,f2(a903))),x77692))+P2(f317(f317(f227(a903),x77691),f317(f317(f75(a903),x77692),x77691)))
% 192.07/191.93 [7770]~P2(f317(f317(f227(a903),f317(a102,f2(a903))),x77701))+~P2(f317(f317(f227(a903),f317(a102,f2(a903))),x77702))+P2(f317(f317(f227(a903),x77701),f317(f317(f75(a903),x77701),x77702)))
% 192.07/191.93 [7804]E(f317(f30(x78041),f232(f910(x78041,a898))),f317(a102,f2(a903)))+P2(f317(f29(x78042),f232(f910(x78042,a898))))+~P2(f317(f29(f910(x78042,x78041)),f232(f910(f910(x78042,x78041),a898))))
% 192.07/191.93 [7932]~P2(f317(f317(f226(a903),f317(a102,f2(a903))),x79321))+~P2(f317(f317(f226(a903),f317(a102,f2(a903))),x79322))+P2(f317(f317(f226(a903),f317(a102,f2(a903))),f317(f317(f75(a903),x79321),x79322)))
% 192.07/191.93 [7933]~P2(f317(f317(f227(a903),f317(a102,f2(a903))),x79332))+~P2(f317(f317(f227(a903),f317(a102,f2(a903))),x79331))+P2(f317(f317(f227(a903),f317(a102,f2(a903))),f317(f317(f75(a903),x79331),x79332)))
% 192.07/191.93 [8615]E(x86151,f103(x86152))+~P2(f317(f127(x86152),x86151))+E(f167(x86152,f317(f317(f10(a898,a898,x86152),a312),f317(f317(f9(x86152,x86152,a898),a314),f134(x86152,x86151))),x86151),f104(x86152,x86151))
% 192.07/191.93 [8710]~P40(x87102)+~P40(x87101)+E(f317(f300(a903,a1,f90(a1)),f317(f317(f100(f910(a903,a898)),f317(f300(a1,a903,a94),x87101)),f317(f300(a1,a903,a94),x87102))),f317(f317(f100(f910(a1,a898)),x87101),x87102))
% 192.07/191.93 [8711]~P40(x87112)+~P40(x87111)+E(f317(f300(a903,a1,f90(a1)),f317(f317(f91(f910(a903,a898)),f317(f300(a1,a903,a94),x87111)),f317(f300(a1,a903,a94),x87112))),f317(f317(f91(f910(a1,a898)),x87111),x87112))
% 192.07/191.93 [9377]~P93(x93771)+~E(f317(f93(x93771),x93772),f72(x93771))+P28(x93771,f317(f93(x93771),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x93772))))
% 192.07/191.93 [9630]~P93(x96301)+E(f317(f93(x96301),x96302),f72(x96301))+~P28(x96301,f317(f93(x96301),f317(f317(f74(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x96302))))
% 192.07/191.93 [10390]E(x103901,f2(a1))+E(x103902,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103902))),f317(f317(f317(f86(f909(a1,a1)),f317(f317(a314,f76(a1,x103901)),f76(a1,x103902))),f49(x103901,x103902)),f317(f317(f247(a1,a1,f909(a1,a1)),f317(f317(f20(a1,f910(a1,f909(a1,a1)),f910(a1,f909(a1,a1))),f317(f317(f10(f910(a1,f910(f909(a1,a1),f909(a1,a1))),f910(f910(a1,f909(a1,a1)),f910(a1,f909(a1,a1))),a1),f20(a1,f909(a1,a1),f909(a1,a1))),f317(f317(f10(f909(a1,a1),f910(a1,f910(f909(a1,a1),f909(a1,a1))),a1),f317(f9(a1,f909(a1,a1),f910(f909(a1,a1),f909(a1,a1))),f317(f317(f10(a898,f910(f909(a1,a1),f910(f909(a1,a1),f909(a1,a1))),a1),f86(f909(a1,a1))),f317(f317(f9(a1,a1,a898),a314),f2(a1))))),f317(f317(f9(a1,a1,f909(a1,a1)),f317(f317(f10(a1,f910(a1,f909(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f9(a1,f910(a1,a1),f910(a1,f909(a1,a1))),f317(f317(f10(f910(a1,f909(a1,a1)),f910(f910(a1,a1),f910(a1,f909(a1,a1))),a1),f10(a1,f909(a1,a1),a1)),f317(f317(f10(a1,f910(a1,f909(a1,a1)),a1),f242(a1,a1)),f317(f317(f9(a1,a1,a1),f317(f317(f10(a1,f910(a1,a1),a1),f3(a1)),f73(a1))),f72(a1))))),f317(f3(a1),f317(f70(a1),x103902))))),f49(x103901,x103902)))),f42(x103901,x103902))
% 192.07/191.93 [10391]E(x103911,f2(a1))+E(x103912,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103912))),f317(f317(f317(f86(f909(a1,a1)),f317(f317(a316,f317(f317(a315,f317(f317(f227(a1),f2(a1)),x103912)),f317(f317(f226(a1),f2(a1)),x103911))),f317(f317(a315,f317(f317(f227(a1),x103912),f2(a1))),f317(f317(f227(a1),x103911),f2(a1))))),f49(x103911,x103912)),f317(f317(f247(a1,a1,f909(a1,a1)),f317(f317(f20(a1,f910(a1,f909(a1,a1)),f910(a1,f909(a1,a1))),f317(f317(f10(f910(a1,f910(f909(a1,a1),f909(a1,a1))),f910(f910(a1,f909(a1,a1)),f910(a1,f909(a1,a1))),a1),f20(a1,f909(a1,a1),f909(a1,a1))),f317(f317(f10(f909(a1,a1),f910(a1,f910(f909(a1,a1),f909(a1,a1))),a1),f317(f9(a1,f909(a1,a1),f910(f909(a1,a1),f909(a1,a1))),f317(f317(f10(a898,f910(f909(a1,a1),f910(f909(a1,a1),f909(a1,a1))),a1),f86(f909(a1,a1))),f317(f317(f9(a1,a1,a898),a314),f2(a1))))),f317(f317(f9(a1,a1,f909(a1,a1)),f317(f317(f10(a1,f910(a1,f909(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f9(a1,f910(a1,a1),f910(a1,f909(a1,a1))),f317(f317(f10(f910(a1,f909(a1,a1)),f910(f910(a1,a1),f910(a1,f909(a1,a1))),a1),f10(a1,f909(a1,a1),a1)),f317(f317(f10(a1,f910(a1,f909(a1,a1)),a1),f242(a1,a1)),f317(f317(f9(a1,a1,a1),f317(f317(f10(a1,f910(a1,a1),a1),f3(a1)),f73(a1))),f72(a1))))),f317(f3(a1),f317(f70(a1),x103912))))),f49(x103911,x103912)))),f42(x103911,x103912))
% 192.07/191.93 [5793]~P117(x57931)+~P93(x57931)+E(f317(f70(x57931),f317(f317(f234(x57931),f317(f93(x57931),a87)),x57932)),f72(x57931))
% 192.07/191.93 [6308]~P141(x63081)+~P2(f317(f317(f227(a1),x63082),f2(a1)))+E(f317(f73(x63081),f317(f90(x63081),f317(a94,f317(f73(a1),x63082)))),f317(f92(x63081),x63082))
% 192.07/191.93 [6518]P2(f317(f317(f226(a89),x65181),f72(a89)))+E(f317(f317(f74(a89),f72(a89)),f262(x65181,f317(f317(f31(a89),x65182),x65181))),f262(x65181,x65182))+P2(f317(f317(f227(a89),x65182),x65181))
% 192.07/191.93 [7006]~E(x70061,f72(a903))+~P2(f317(f317(f227(a903),f2(a903)),x70062))+P2(f317(f317(f277(a903),f317(f317(f75(a903),x70061),x70062)),x70062))
% 192.07/191.93 [7138]~P92(x71381)+~P2(f317(f317(f319(x71381),x71382),f99(x71381)))+~E(f317(f317(f74(x71381),f317(f317(f74(x71381),f72(x71381)),x71382)),x71382),f2(x71381))
% 192.07/191.93 [7252]~P2(f317(f317(f226(a1),x72522),f2(a1)))+~P2(f317(f317(f227(a1),x72521),f2(a1)))+E(f317(f241(a1,a1),f317(a47,f43(f317(f73(a1),x72521),f317(f73(a1),x72522)))),f317(f317(f31(a1),x72521),x72522))
% 192.07/191.93 [7269]~P2(f317(f317(f226(a1),x72692),f2(a1)))+~P2(f317(f317(f227(a1),x72691),f2(a1)))+E(f317(f246(a1,a1),f317(a47,f43(f317(f73(a1),x72691),f317(f73(a1),x72692)))),f41(a1,x72691,x72692))
% 192.07/191.93 [7277]~P2(f317(f317(f227(a1),x72772),f2(a1)))+E(f317(f241(a1,a1),f317(a47,f46(f317(f73(a1),x72771),f317(f73(a1),x72772)))),f317(f317(f31(a1),x72771),x72772))+~P2(f317(f317(f227(a1),f2(a1)),x72771))
% 192.07/191.93 [7295]~P2(f317(f317(f227(a1),x72952),f2(a1)))+E(f317(f246(a1,a1),f317(a47,f46(f317(f73(a1),x72951),f317(f73(a1),x72952)))),f41(a1,x72951,x72952))+~P2(f317(f317(f227(a1),f2(a1)),x72951))
% 192.07/191.93 [7346]E(f317(f317(f31(a1),f317(f317(f234(a1),x73461),x73462)),x73461),f317(f317(f234(a1),x73461),f317(f317(f3(a903),x73462),f317(a102,f2(a903)))))+~P2(f317(f317(f227(a903),f2(a903)),x73462))+~P2(f317(f317(f227(a1),f2(a1)),x73461))
% 192.07/191.93 [7450]~P2(f317(f317(f227(a903),f2(a903)),x74501))+~P2(f317(f317(f227(a903),f2(a903)),x74502))+P2(f317(f317(f227(a903),f317(f317(f3(a903),x74501),x74502)),x74501))
% 192.07/191.93 [7451]~P2(f317(f317(f227(a903),f2(a903)),x74511))+~P2(f317(f317(f227(a903),f72(a903)),x74512))+P2(f317(f317(f227(a903),f317(f317(f31(a903),x74511),x74512)),x74511))
% 192.07/191.93 [7452]~P2(f317(f317(f227(a1),f2(a1)),x74521))+~P2(f317(f317(f227(a1),f72(a1)),x74522))+P2(f317(f317(f227(a1),f317(f317(f31(a1),x74521),x74522)),x74521))
% 192.07/191.93 [7589]E(x75891,f2(a903))+~E(x75892,f2(a1))+~P2(f317(f317(f227(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x75892)),x75891)))
% 192.07/191.93 [7630]E(x76301,f72(a903))+~P2(f317(f317(f227(a903),f2(a903)),x76302))+~P2(f317(f317(f277(a903),f317(f317(f75(a903),x76301),x76302)),x76302))
% 192.07/191.93 [8011]~E(x80112,f103(f904(x80111)))+E(f317(f179(f904(f904(x80111))),f169(x80111,x80112)),f2(a903))+~P14(a903,f317(f158(a903),f317(f317(f144(f904(x80111),a903),f179(f904(x80111))),x80112)))
% 192.07/191.93 [8264]P2(f317(x82641,x82642))+~P2(f317(x82641,f317(a97,f527(x82641,x82642))))+~P2(f317(f317(f319(f910(f909(a903,a903),a898)),x82642),a88))
% 192.07/191.93 [8280]E(x82801,f103(f904(x82802)))+E(f317(f179(f904(x82802)),f317(f317(f154(f904(x82802)),x82801),f2(a903))),f317(f179(f904(f904(x82802))),f169(x82802,x82801)))+~P14(a903,f317(f158(a903),f317(f317(f144(f904(x82802),a903),f179(f904(x82802))),x82801)))
% 192.07/191.93 [8421]~P38(x84211,x84212)+~P39(x84211,x84212)+P38(x84211,f317(f317(f3(f910(f909(x84211,x84211),a898)),x84212),f297(x84211,f178(f910(f909(x84211,x84211),a898)))))
% 192.07/191.93 [8995]~P2(f317(f29(x89951),f317(f252(x89951),x89952)))+~P2(f317(f29(x89951),f232(f910(x89951,a898))))+P2(f317(f29(x89951),f317(f252(x89951),f317(f317(f10(a898,a898,x89951),a312),x89952))))
% 192.07/191.93 [9059]E(f317(f317(f242(a903,a903),f317(a102,f317(f317(f31(a903),f317(f317(f3(a903),x90591),x90592)),x90592))),f41(a903,f317(f317(f3(a903),x90591),x90592),x90592)),f79(f909(a903,a903),f44(x90591,x90592)))+~P2(f317(f317(f227(a903),f2(a903)),x90592))+~P2(f317(f317(f226(a903),x90592),x90591))
% 192.07/191.93 [9342]~P2(f317(f29(x93421),f317(f252(x93421),x93422)))+P2(f317(f29(x93421),f232(f910(x93421,a898))))+~P2(f317(f29(x93421),f317(f252(x93421),f317(f317(f10(a898,a898,x93421),a312),x93422))))
% 192.07/191.93 [10072]P27(x100721,x100722)+~P37(x100721,f317(f241(f910(f909(x100721,x100721),a898),f910(f909(x100721,x100721),a898)),x100722))+~P2(f317(f317(f226(f910(f909(x100721,x100721),a898)),f317(f317(f279(x100721,x100721,x100721),f317(f241(f910(f909(x100721,x100721),a898),f910(f909(x100721,x100721),a898)),x100722)),f317(f246(f910(f909(x100721,x100721),a898),f910(f909(x100721,x100721),a898)),x100722))),f317(f241(f910(f909(x100721,x100721),a898),f910(f909(x100721,x100721),a898)),x100722)))
% 192.07/191.93 [10168]~E(f290(a903,f277(a903),f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x101682,x101681),f178(f910(a903,a898)))+~P2(f317(f317(f277(a903),x101682),x101681))+P2(f317(f317(f277(a903),x101681),x101682))
% 192.07/191.93 [10169]~E(f287(a903,f277(a903),f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x101692,x101691),f178(f910(a903,a898)))+~P2(f317(f317(f277(a903),x101692),x101691))+P2(f317(f317(f277(a903),x101691),x101692))
% 192.07/191.93 [7376]~P2(f317(f317(f227(a903),f2(a903)),x73762))+P2(f317(f317(f227(a903),x73761),x73762))+E(f317(a102,f317(f317(f31(a903),f317(f317(f3(a903),x73761),x73762)),x73762)),f317(f317(f31(a903),x73761),x73762))
% 192.07/191.93 [7517]~P2(f317(f317(f227(a903),f2(a903)),x75172))+~P2(f317(f317(f226(a903),x75172),x75171))+E(f317(a102,f317(f317(f31(a903),f317(f317(f3(a903),x75171),x75172)),x75172)),f317(f317(f31(a903),x75171),x75172))
% 192.07/191.93 [8485]~P93(x84851)+~P92(x84851)+~P28(x84851,f317(f93(x84851),f317(f317(f3(a1),f317(f317(f74(a1),x84852),x84852)),a87)))
% 192.07/191.93 [9248]E(x92481,f2(a903))+E(f317(f317(f247(a903,a903,f909(a903,a903)),f317(f317(f10(a903,f910(a903,f909(a903,a903)),a903),f242(a903,a903)),a102)),f79(f909(a903,a903),f44(f317(f317(f3(a903),x92482),x92481),x92481))),f79(f909(a903,a903),f44(x92482,x92481)))+P2(f317(f317(f227(a903),x92482),x92481))
% 192.07/191.93 [9432]~P38(x94321,x94322)+~P51(x94321,x94322)+P2(f317(f317(f226(f910(f909(x94321,x94321),a898)),f317(f317(f279(x94321,x94321,x94321),f317(f276(x94321,x94321),x94322)),x94322)),x94322))
% 192.07/191.93 [9695]P2(f317(x96952,f741(x96952,x96951)))+P2(f317(x96951,f741(x96952,x96951)))+E(f317(f252(a1),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),x96951)),f317(f252(a1),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),x96952)))
% 192.07/191.93 [9699]~P2(f317(x96992,f741(x96992,x96991)))+~P2(f317(x96991,f741(x96992,x96991)))+E(f317(f252(a1),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),x96991)),f317(f252(a1),f317(f317(f20(a1,a898,a898),f317(f317(f10(a898,f910(a898,a898),a1),a315),f317(f226(a1),f2(a1)))),x96992)))
% 192.07/191.93 [10251]~P2(f317(f317(f277(a903),x102512),x102511))+P2(f317(f317(f277(a903),x102511),x102512))+P2(f317(f317(f319(a903),x102511),f285(a903,f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x102512)))
% 192.07/191.93 [10252]~P2(f317(f317(f277(a903),x102522),x102521))+P2(f317(f317(f277(a903),x102521),x102522))+P2(f317(f317(f319(a903),x102522),f288(a903,f317(f317(f20(a903,f910(a903,a898),f910(a903,a898)),f317(f317(f10(f910(a903,f910(a898,a898)),f910(f910(a903,a898),f910(a903,a898)),a903),f20(a903,a898,a898)),f317(f317(f10(f910(a903,a898),f910(a903,f910(a898,a898)),a903),f317(f10(a898,f910(a898,a898),a903),a315)),f277(a903)))),f317(f317(f10(f910(a903,a898),f910(a903,a898),a903),f317(f10(a898,a898,a903),a312)),f317(f9(a903,a903,a898),f277(a903)))),x102521)))
% 192.07/191.93 [7727]~P93(x77271)+~P62(x77271)+E(f317(f317(f281(x77271),x77272),f317(f93(x77271),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87))),x77272)
% 192.07/191.93 [9376]~P93(x93761)+~E(f317(f93(x93761),x93762),f72(x93761))+P28(x93761,f317(f93(x93761),f317(f317(f74(a1),x93762),f317(f73(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 192.07/191.93 [9564]~P142(x95641)+~E(x95642,f72(x95641))+E(f317(f317(f234(x95641),x95642),f317(f93(a903),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(x95641))
% 192.07/191.93 [9565]~P142(x95651)+~E(x95652,f2(x95651))+E(f317(f317(f234(x95651),x95652),f317(f93(a903),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(x95651))
% 192.07/191.93 [9580]~P142(x95801)+~E(x95802,f317(f73(x95801),f72(x95801)))+E(f317(f317(f234(x95801),x95802),f317(f93(a903),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(x95801))
% 192.07/191.93 [9631]~P93(x96311)+E(f317(f93(x96311),x96312),f72(x96311))+~P28(x96311,f317(f93(x96311),f317(f317(f74(a1),x96312),f317(f73(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))))
% 192.07/191.93 [10015]~P117(x100152)+E(x100151,f2(x100152))+P2(f317(f317(f227(x100152),f2(x100152)),f317(f317(f234(x100152),x100151),f317(f93(a903),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))))))
% 192.07/191.93 [10071]~P117(x100712)+~E(x100711,f2(x100712))+~P2(f317(f317(f227(x100712),f2(x100712)),f317(f317(f234(x100712),x100711),f317(f93(a903),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))))))
% 192.07/191.93 [10107]P2(f317(f317(f226(a1),x101071),f2(a1)))+P2(f317(f317(f227(a1),x101072),x101071))+E(f317(f39(x101071),f43(x101072,f317(f317(f75(a1),f317(f93(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)))),x101071))),f43(x101072,x101071))
% 192.07/191.93 [10108]~P2(f317(f317(f227(a1),f2(a1)),x101081))+P2(f317(f317(f227(a1),x101082),x101081))+E(f317(f39(x101081),f43(x101082,f317(f317(f75(a1),f317(f93(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)))),x101081))),f43(x101082,x101081))
% 192.07/191.93 [10109]P2(f317(f317(f226(a1),x101091),f2(a1)))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f74(a1),x101092),x101091)))+E(f317(f39(x101091),f46(x101092,f317(f317(f75(a1),f317(f93(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)))),x101091))),f46(x101092,x101091))
% 192.07/191.93 [10110]~P2(f317(f317(f227(a1),f2(a1)),x101101))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f74(a1),x101102),x101101)))+E(f317(f39(x101101),f46(x101102,f317(f317(f75(a1),f317(f93(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)))),x101101))),f46(x101102,x101101))
% 192.07/191.93 [10111]~P145(x101111)+~P2(f317(f317(f226(a1),f2(a1)),x101112))+E(f317(f90(x101111),f317(a94,f317(f317(f75(a1),f317(f93(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)))),x101112))),f317(f317(f74(x101111),f317(f90(x101111),f317(a94,x101112))),f317(f90(x101111),f317(a94,x101112))))
% 192.07/191.93 [5124]~P147(x51241,x51242,x51243)+~E(x51243,f2(a1))+P2(f317(x51241,x51242))
% 192.07/191.93 [5248]~P108(x52481)+~P14(x52481,x52483)+P14(x52481,f160(x52481,x52482,x52483))
% 192.07/191.93 [5249]~P108(x52491)+~P14(x52491,x52493)+P14(x52491,f167(x52491,x52492,x52493))
% 192.07/191.93 [4811]~P76(x48112)+~E(x48113,f317(f73(x48112),x48111))+E(x48111,f317(f73(x48112),x48113))
% 192.07/191.93 [4813]~P76(x48131)+~E(f317(f73(x48131),x48133),x48132)+E(f317(f73(x48131),x48132),x48133)
% 192.07/191.93 [4892]~P95(x48923)+E(x48921,x48922)+~E(f317(f90(x48923),x48921),f317(f90(x48923),x48922))
% 192.07/191.93 [4893]~P76(x48933)+E(x48931,x48932)+~E(f317(f73(x48933),x48931),f317(f73(x48933),x48932))
% 192.07/191.93 [4894]~P96(x48943)+E(x48941,x48942)+~E(f317(f73(x48943),x48941),f317(f73(x48943),x48942))
% 192.07/191.93 [4895]~P92(x48953)+E(x48951,x48952)+~E(f317(f92(x48953),x48951),f317(f92(x48953),x48952))
% 192.07/191.93 [4896]~P108(x48963)+E(x48961,x48962)+~E(f317(f291(x48963),x48961),f317(f291(x48963),x48962))
% 192.07/191.93 [4897]~P108(x48973)+E(x48971,x48972)+~E(f317(f272(x48973),x48971),f317(f272(x48973),x48972))
% 192.07/191.93 [4898]~P108(x48983)+E(x48981,x48982)+~E(f317(f294(x48983),x48981),f317(f294(x48983),x48982))
% 192.07/191.93 [4899]~P108(x48993)+E(x48991,x48992)+~E(f317(f273(x48993),x48991),f317(f273(x48993),x48992))
% 192.07/191.93 [5002]~P60(x50021)+~P2(f317(x50022,x50023))+P2(f317(f52(x50021),x50022))
% 192.07/191.93 [5042]~P60(x50423)+P2(f317(x50421,x50422))+~P2(f317(f53(x50423),x50421))
% 192.07/191.93 [5144]~P148(x51441,x51443,x51442)+~E(x51442,f2(a1))+P2(f317(x51441,f2(a1)))
% 192.07/191.93 [5184]~E(x51841,f2(a903))+E(f804(x51841,x51842,x51843),f178(f910(x51843,a898)))+~E(f317(f30(x51843),x51842),f317(a102,x51841))
% 192.07/191.93 [5332]~E(x53322,f2(a903))+E(f317(f241(a903,a903),x53321),f2(a903))+~P2(f317(f44(x53323,x53322),x53321))
% 192.07/191.93 [5371]P2(f317(x53711,x53712))+~E(x53713,f317(f90(a1),x53712))+~P2(f317(x53711,f317(a94,x53713)))
% 192.07/191.93 [5857]~E(x58573,f2(a903))+~P2(f317(x58571,x58572))+P2(f317(x58571,f41(a903,x58572,x58573)))
% 192.07/191.93 [6102]~P105(x61022)+~P105(x61021)+E(f121(x61021,x61022,f122(x61021,x61023),f122(x61022,x61023)),f122(f909(x61021,x61022),x61023))
% 192.07/191.93 [6289]~E(x62893,f2(a903))+P2(f317(x62891,x62892))+~P2(f317(x62891,f41(a903,x62892,x62893)))
% 192.07/191.93 [6794]E(x67941,f178(f910(x67942,a898)))+~P2(f317(f29(x67942),x67941))+P2(f317(f57(x67942,x67943,x67941),f465(x67943,x67941,x67942)))
% 192.07/191.93 [6990]E(x69901,f2(a903))+~P2(f317(x69902,f866(x69901,x69903,x69902)))+P2(f317(x69902,f41(a903,x69903,x69901)))
% 192.07/191.93 [7103]~P6(x71031)+~P2(f317(f317(f226(x71031),x71032),f389(x71033,x71032,x71031)))+P2(f317(f317(f226(x71031),x71032),f33(x71031,x71033)))
% 192.07/191.93 [7105]~P2(f317(x71051,x71052))+~P2(f317(x71051,f866(x71053,x71052,x71051)))+P2(f317(x71051,f41(a903,x71052,x71053)))
% 192.07/191.93 [7207]E(x72071,f103(x72072))+E(f317(f317(f141(x72072),f597(x72073,x72071,x72072)),f604(x72073,x72071,x72072)),x72071)+~P2(f317(f317(f319(f904(x72072)),x72071),f151(x72072,x72073)))
% 192.07/191.93 [7238]~P141(x72381)+~P2(f317(f317(f319(x72381),x72382),f99(x72381)))+P2(f317(f317(f319(x72381),f317(f317(f234(x72381),x72382),x72383)),f99(x72381)))
% 192.07/191.93 [7562]P37(x75621,x75622)+~P2(f317(f317(f319(x75621),x75623),f736(x75622,x75621)))+P2(f317(f317(f319(x75621),f738(x75622,x75621,x75623)),f736(x75622,x75621)))
% 192.07/191.93 [7832]E(x78321,f103(x78322))+~P2(f317(f317(f319(f904(x78322)),x78321),f151(x78322,x78323)))+P2(f317(f317(f319(f904(x78322)),f604(x78323,x78321,x78322)),f151(x78322,x78323)))
% 192.07/191.93 [7884]E(x78841,f2(a903))+E(f317(f317(f74(a903),f317(f317(f75(a903),x78841),f865(x78841,x78842,x78843))),f866(x78841,x78842,x78843)),x78842)+P2(f317(x78843,f41(a903,x78842,x78841)))
% 192.07/191.93 [7927]~P2(f317(x79273,x79272))+E(f317(f317(f74(a903),f317(f317(f75(a903),x79271),f865(x79271,x79272,x79273))),f866(x79271,x79272,x79273)),x79272)+P2(f317(x79273,f41(a903,x79272,x79271)))
% 192.07/191.93 [8067]P2(f317(f317(f227(a1),x80671),f873(x80672,x80673,x80671)))+P2(f317(f317(x80673,f317(f317(f31(a1),x80672),x80671)),f41(a1,x80672,x80671)))+~P2(f317(f317(f227(a1),x80671),f2(a1)))
% 192.07/191.93 [8335]P2(f317(f317(x83352,f317(f317(f31(a1),x83351),x83353)),f41(a1,x83351,x83353)))+~P2(f317(f317(f227(a1),x83353),f2(a1)))+P2(f317(f317(f226(a1),f873(x83351,x83352,x83353)),f2(a1)))
% 192.07/191.93 [8520]E(f317(f317(f74(a1),f317(f317(f75(a1),x85201),f876(x85202,x85203,x85201))),f873(x85202,x85203,x85201)),x85202)+P2(f317(f317(x85203,f317(f317(f31(a1),x85202),x85201)),f41(a1,x85202,x85201)))+~P2(f317(f317(f227(a1),x85201),f2(a1)))
% 192.07/191.93 [8758]~P2(f317(f317(x87581,f876(x87582,x87581,x87583)),f873(x87582,x87581,x87583)))+P2(f317(f317(x87581,f317(f317(f31(a1),x87582),x87583)),f41(a1,x87582,x87583)))+~P2(f317(f317(f227(a1),x87583),f2(a1)))
% 192.07/191.93 [9008]~P108(x90081)+~P14(x90081,x90083)+P14(x90081,f139(x90081,x90081,f7(x90081),x90082,x90083))
% 192.07/191.93 [9509]~P126(x95092)+E(x95091,f2(x95092))+~P2(f317(f317(f226(x95092),f317(f317(f74(x95092),f317(f317(f75(x95092),x95093),x95093)),f317(f317(f75(x95092),x95091),x95091))),f2(x95092)))
% 192.07/191.93 [9510]~P126(x95102)+E(x95101,f2(x95102))+~P2(f317(f317(f226(x95102),f317(f317(f74(x95102),f317(f317(f75(x95102),x95101),x95101)),f317(f317(f75(x95102),x95103),x95103))),f2(x95102)))
% 192.07/191.93 [10325]~P117(x103251)+~P2(f317(f317(f227(x103251),x103252),f2(x103251)))+P2(f317(f317(f227(x103251),f317(f317(f234(x103251),x103252),f317(a102,f317(f317(f75(a903),f317(f93(a903),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)))),x103253)))),f2(x103251)))
% 192.07/191.93 [10334]~P117(x103342)+E(x103341,f2(x103342))+~P2(f317(f317(f226(x103342),f317(f317(f74(x103342),f317(f317(f234(x103342),x103343),f317(f93(a903),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(x103342),x103341),f317(f93(a903),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(x103342)))
% 192.07/191.93 [10335]~P117(x103352)+E(x103351,f2(x103352))+~P2(f317(f317(f226(x103352),f317(f317(f74(x103352),f317(f317(f234(x103352),x103351),f317(f93(a903),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(x103352),x103353),f317(f93(a903),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(x103352)))
% 192.07/191.93 [4847]~E(x48472,x48473)+~P68(x48471)+E(f317(f317(f3(x48471),x48472),x48473),f2(x48471))
% 192.07/191.93 [4848]~E(x48482,x48483)+~P76(x48481)+E(f317(f317(f3(x48481),x48482),x48483),f2(x48481))
% 192.07/191.93 [4861]~P143(x48611)+~E(x48613,f2(x48611))+E(f317(f317(f74(x48611),x48612),x48613),x48612)
% 192.07/191.93 [4878]~P140(x48781)+~E(x48783,f2(x48781))+E(f317(f317(f75(x48781),x48782),x48783),f2(x48781))
% 192.07/191.93 [4879]~P140(x48791)+~E(x48792,f2(x48791))+E(f317(f317(f75(x48791),x48792),x48793),f2(x48791))
% 192.07/191.93 [4901]~E(x49013,f103(x49011))+~E(x49012,f103(x49011))+E(f317(f317(f124(x49011),x49012),x49013),f103(x49011))
% 192.07/191.93 [4992]~P143(x49922)+E(x49921,f2(x49922))+~E(f317(f317(f74(x49922),x49923),x49921),x49923)
% 192.07/191.93 [4993]~P76(x49931)+~E(x49932,f317(f73(x49931),x49933))+E(f317(f317(f74(x49931),x49932),x49933),f2(x49931))
% 192.07/191.93 [5000]E(x50001,f103(x50002))+E(x50003,f2(a903))+~E(f317(f317(f165(x50002),x50003),x50001),f103(x50002))
% 192.07/191.93 [5010]~P68(x50103)+E(x50101,x50102)+~E(f317(f317(f3(x50103),x50101),x50102),f2(x50103))
% 192.07/191.93 [5011]~P76(x50113)+E(x50111,x50112)+~E(f317(f317(f3(x50113),x50111),x50112),f2(x50113))
% 192.07/191.93 [5024]~P142(x50242)+E(x50241,f2(x50242))+~E(f317(f317(f234(x50242),x50241),x50243),f2(x50242))
% 192.07/191.93 [5025]~P98(x50252)+E(x50251,f178(x50252))+~E(f317(f317(f100(x50252),x50253),x50251),f178(x50252))
% 192.07/191.93 [5026]~P98(x50262)+E(x50261,f178(x50262))+~E(f317(f317(f100(x50262),x50261),x50263),f178(x50262))
% 192.07/191.93 [5027]~P100(x50272)+E(x50271,f232(x50272))+~E(f317(f317(f91(x50272),x50273),x50271),f232(x50272))
% 192.07/191.93 [5028]~P100(x50282)+E(x50281,f232(x50282))+~E(f317(f317(f91(x50282),x50281),x50283),f232(x50282))
% 192.07/191.93 [5098]~P76(x50982)+E(x50981,f317(f73(x50982),x50983))+~E(f317(f317(f74(x50982),x50981),x50983),f2(x50982))
% 192.07/191.93 [5099]~P76(x50991)+E(f317(f73(x50991),x50992),x50993)+~E(f317(f317(f74(x50991),x50992),x50993),f2(x50991))
% 192.07/191.93 [5101]~E(x51012,x51013)+~P65(x51011)+P2(f317(f317(f226(x51011),x51012),x51013))
% 192.07/191.93 [5103]~E(x51032,x51033)+~P109(x51031)+P2(f317(f317(f226(x51031),x51032),x51033))
% 192.07/191.93 [5201]~P120(x52011)+~E(x52012,f317(f73(x52011),x52013))+E(f317(f317(f75(x52011),x52012),x52012),f317(f317(f75(x52011),x52013),x52013))
% 192.07/191.93 [5209]~P108(x52091)+~P14(x52091,x52093)+P14(x52091,f317(f317(f165(x52091),x52092),x52093))
% 192.07/191.93 [5210]~P108(x52101)+~P14(x52101,x52103)+P14(x52101,f317(f317(f128(x52101),x52102),x52103))
% 192.07/191.93 [5246]E(x52461,x52462)+E(x52463,f2(a903))+~E(f317(f317(f75(a903),x52463),x52461),f317(f317(f75(a903),x52463),x52462))
% 192.07/191.93 [5247]E(x52471,x52472)+E(x52473,f2(a903))+~E(f317(f317(f75(a903),x52471),x52473),f317(f317(f75(a903),x52472),x52473))
% 192.07/191.93 [5325]~E(x53252,x53253)+~P109(x53251)+E(f293(x53251,x53252,x53253),f317(f317(f299(x53251),x53252),f178(f910(x53251,a898))))
% 192.07/191.93 [5360]~P117(x53601)+~E(f317(f70(x53601),x53602),f317(f70(x53601),x53603))+P2(f317(f317(f277(x53601),x53602),x53603))
% 192.07/191.93 [5368]~E(x53681,x53682)+~P108(x53683)+~P2(f317(f317(f227(x53683),x53681),x53682))
% 192.07/191.93 [5369]~E(x53691,x53692)+~P109(x53693)+~P2(f317(f317(f227(x53693),x53691),x53692))
% 192.07/191.93 [5382]~P109(x53821)+E(f317(f292(x53821,x53822),x53823),f178(f910(x53821,a898)))+P2(f317(f317(f227(x53821),x53822),x53823))
% 192.07/191.93 [5433]~P109(x54331)+E(f293(x54331,x54332,x54333),f178(f910(x54331,a898)))+P2(f317(f317(f226(x54331),x54332),x54333))
% 192.07/191.93 [5434]~P109(x54341)+E(f295(x54341,x54342,x54343),f178(f910(x54341,a898)))+P2(f317(f317(f227(x54341),x54342),x54343))
% 192.07/191.93 [5435]~P109(x54351)+E(f178(f910(x54351,a898)),f293(x54351,x54352,x54353))+P2(f317(f317(f226(x54351),x54352),x54353))
% 192.07/191.93 [5436]~P109(x54361)+E(f178(f910(x54361,a898)),f295(x54361,x54362,x54363))+P2(f317(f317(f227(x54361),x54362),x54363))
% 192.07/191.93 [5444]~P101(x54441)+~E(f317(f317(f100(x54441),x54442),x54443),x54443)+P2(f317(f317(f226(x54441),x54442),x54443))
% 192.07/191.93 [5445]~P104(x54451)+~E(f317(f317(f91(x54451),x54452),x54453),x54452)+P2(f317(f317(f226(x54451),x54452),x54453))
% 192.07/191.93 [5446]~P108(x54461)+~E(f317(f317(f224(x54461),x54462),x54463),x54462)+P2(f317(f317(f226(x54461),x54462),x54463))
% 192.07/191.93 [5447]~P108(x54471)+~E(f317(f317(f225(x54471),x54472),x54473),x54473)+P2(f317(f317(f226(x54471),x54472),x54473))
% 192.07/191.93 [5465]~P108(x54651)+P14(x54651,x54652)+~P14(x54651,f317(f317(f124(x54651),x54653),x54652))
% 192.07/191.93 [5466]~P108(x54661)+P14(x54661,x54662)+~P14(x54661,f317(f317(f124(x54661),x54662),x54663))
% 192.07/191.93 [5468]~P108(x54681)+P14(x54681,x54682)+~P14(x54681,f317(f317(f141(x54681),x54683),x54682))
% 192.07/191.93 [5473]~P4(x54731)+~E(f41(x54731,x54733,x54732),f2(x54731))+P2(f317(f317(f277(x54731),x54732),x54733))
% 192.07/191.93 [5535]~P108(x55351)+P2(f317(f317(f226(x55351),x55353),x55352))+P2(f317(f317(f226(x55351),x55352),x55353))
% 192.07/191.93 [5540]~P108(x55401)+P2(f317(f317(f227(x55401),x55403),x55402))+P2(f317(f317(f226(x55401),x55402),x55403))
% 192.07/191.93 [5578]~P101(x55781)+E(f317(f317(f100(x55781),x55782),x55783),x55782)+~P2(f317(f317(f226(x55781),x55783),x55782))
% 192.07/191.93 [5580]~P101(x55801)+E(f317(f317(f100(x55801),x55802),x55803),x55803)+~P2(f317(f317(f226(x55801),x55802),x55803))
% 192.07/191.93 [5581]~P104(x55811)+E(f317(f317(f91(x55811),x55812),x55813),x55813)+~P2(f317(f317(f226(x55811),x55813),x55812))
% 192.07/191.93 [5583]~P104(x55831)+E(f317(f317(f91(x55831),x55832),x55833),x55832)+~P2(f317(f317(f226(x55831),x55832),x55833))
% 192.07/191.93 [5584]~P108(x55841)+E(f317(f317(f224(x55841),x55842),x55843),x55843)+~P2(f317(f317(f226(x55841),x55843),x55842))
% 192.07/191.93 [5586]~P108(x55861)+E(f317(f317(f224(x55861),x55862),x55863),x55862)+~P2(f317(f317(f226(x55861),x55862),x55863))
% 192.07/191.93 [5587]~P108(x55871)+E(f317(f317(f225(x55871),x55872),x55873),x55872)+~P2(f317(f317(f226(x55871),x55873),x55872))
% 192.07/191.93 [5589]~P108(x55891)+E(f317(f317(f225(x55891),x55892),x55893),x55893)+~P2(f317(f317(f226(x55891),x55892),x55893))
% 192.07/191.93 [5596]~P122(x55962)+E(x55961,f2(x55962))+E(f317(f317(f281(x55962),f317(f73(x55962),x55963)),f317(f73(x55962),x55961)),f317(f317(f281(x55962),x55963),x55961))
% 192.07/191.93 [5603]~P4(x56031)+E(f41(x56031,x56032,x56033),f2(x56031))+~P2(f317(f317(f277(x56031),x56033),x56032))
% 192.07/191.93 [5649]~P109(x56491)+E(f317(f292(x56491,x56492),x56493),f178(f910(x56491,a898)))+~P2(f317(f317(f226(x56491),x56493),x56492))
% 192.07/191.93 [5682]~P109(x56821)+E(f296(x56821,x56822,x56823),f178(f910(x56821,a898)))+~P2(f317(f317(f226(x56821),x56823),x56822))
% 192.07/191.93 [5683]~P109(x56831)+E(f293(x56831,x56832,x56833),f178(f910(x56831,a898)))+~P2(f317(f317(f227(x56831),x56833),x56832))
% 192.07/191.93 [5684]~P109(x56841)+E(f295(x56841,x56842,x56843),f178(f910(x56841,a898)))+~P2(f317(f317(f226(x56841),x56843),x56842))
% 192.07/191.93 [5736]~E(f317(f317(f3(a903),x57361),x57363),x57362)+E(x57361,f317(f317(f74(a903),x57362),x57363))+~P2(f317(f317(f226(a903),x57363),x57361))
% 192.07/191.93 [5737]~E(x57371,f317(f317(f74(a903),x57373),x57372))+E(f317(f317(f3(a903),x57371),x57372),x57373)+~P2(f317(f317(f226(a903),x57372),x57371))
% 192.07/191.93 [5782]~P2(f317(x57821,x57823))+P2(f317(x57821,f325(x57821,x57822)))+~P2(f317(f317(f226(a903),x57823),x57822))
% 192.07/191.93 [5783]~P2(f317(x57831,x57833))+P2(f317(x57831,f335(x57831,x57832)))+~P2(f317(f317(f227(a903),x57833),x57832))
% 192.07/191.93 [5791]~P109(x57911)+~E(f317(f292(x57911,x57912),x57913),f178(f910(x57911,a898)))+~P2(f317(f317(f227(x57911),x57912),x57913))
% 192.07/191.93 [5796]~P65(x57961)+~P2(f317(f317(f227(x57961),x57962),x57963))+P2(f317(f317(f226(x57961),x57962),x57963))
% 192.07/191.93 [5798]~P109(x57981)+~P2(f317(f317(f227(x57981),x57982),x57983))+P2(f317(f317(f226(x57981),x57982),x57983))
% 192.07/191.93 [5916]~P109(x59161)+~E(f293(x59161,x59162,x59163),f178(f910(x59161,a898)))+~P2(f317(f317(f226(x59161),x59162),x59163))
% 192.07/191.93 [5917]~P109(x59171)+~E(f295(x59171,x59172,x59173),f178(f910(x59171,a898)))+~P2(f317(f317(f227(x59171),x59172),x59173))
% 192.07/191.93 [5918]~P109(x59181)+~E(f178(f910(x59181,a898)),f293(x59181,x59182,x59183))+~P2(f317(f317(f226(x59181),x59182),x59183))
% 192.07/191.93 [5919]~P109(x59191)+~E(f178(f910(x59191,a898)),f295(x59191,x59192,x59193))+~P2(f317(f317(f227(x59191),x59192),x59193))
% 192.07/191.93 [5929]P2(f317(x59291,x59292))+~P2(f317(x59291,f336(x59291,x59293)))+~P2(f317(f317(f226(a903),x59292),x59293))
% 192.07/191.93 [5930]P2(f317(x59301,x59302))+~P2(f317(x59301,f340(x59301,x59303)))+~P2(f317(f317(f227(a903),x59302),x59303))
% 192.07/191.93 [5938]~E(x59381,f317(a102,x59383))+P2(f317(f317(f227(a903),x59381),f317(a102,x59382)))+~P2(f317(f317(f227(a903),x59383),x59382))
% 192.07/191.93 [5957]E(x59571,x59572)+~E(f317(f317(f75(a903),x59573),x59571),f317(f317(f75(a903),x59573),x59572))+~P2(f317(f317(f227(a903),f2(a903)),x59573))
% 192.07/191.93 [6018]E(f317(x60181,f402(x60181,x60182,x60183)),f72(a903))+~E(f317(f317(f8(x60183,a903),x60181),x60182),f72(a903))+~P2(f317(f29(x60183),x60182))
% 192.07/191.93 [6035]~P6(x60351)+P2(f317(f317(f226(x60351),x60352),f32(x60351,x60353)))+~P2(f317(f317(f319(x60351),x60352),x60353))
% 192.07/191.93 [6058]~P65(x60581)+~P2(f317(f317(f227(x60581),x60583),x60582))+~P2(f317(f317(f226(x60581),x60582),x60583))
% 192.07/191.93 [6062]~P65(x60621)+~P2(f317(f317(f227(x60621),x60623),x60622))+~P2(f317(f317(f227(x60621),x60622),x60623))
% 192.07/191.93 [6065]~P108(x60651)+~P2(f317(f317(f227(x60651),x60653),x60652))+~P2(f317(f317(f226(x60651),x60652),x60653))
% 192.07/191.93 [6066]~P108(x60661)+~P2(f317(f317(f227(x60661),x60663),x60662))+~P2(f317(f317(f227(x60661),x60662),x60663))
% 192.07/191.93 [6067]~P109(x60671)+~P2(f317(f317(f227(x60671),x60673),x60672))+~P2(f317(f317(f227(x60671),x60672),x60673))
% 192.07/191.93 [6087]~E(x60872,x60873)+~E(x60871,x60872)+E(f280(a903,f277(a903),x60871,x60872),f317(f317(f299(a903),x60873),f178(f910(a903,a898))))
% 192.07/191.93 [6094]~E(f317(x60942,f363(x60942,x60943,x60941)),f72(a903))+E(f317(f317(f11(x60941,a903),x60942),x60943),f72(a903))+~P2(f317(f29(x60941),x60943))
% 192.07/191.93 [6095]~E(f317(x60952,f403(x60952,x60953,x60951)),f2(a903))+E(f317(f317(f8(x60951,a903),x60952),x60953),f2(a903))+~P2(f317(f29(x60951),x60953))
% 192.07/191.93 [6111]~P107(x61111)+~P2(f317(f317(f227(x61111),x61113),x61112))+P2(f317(f317(f319(x61111),x61112),f317(f294(x61111),x61113)))
% 192.07/191.93 [6112]~P107(x61121)+~P2(f317(f317(f226(x61121),x61123),x61122))+P2(f317(f317(f319(x61121),x61122),f317(f273(x61121),x61123)))
% 192.07/191.93 [6113]~P107(x61131)+~P2(f317(f317(f226(x61131),x61132),x61133))+P2(f317(f317(f319(x61131),x61132),f317(f291(x61131),x61133)))
% 192.07/191.93 [6114]~P107(x61141)+~P2(f317(f317(f227(x61141),x61142),x61143))+P2(f317(f317(f319(x61141),x61142),f317(f272(x61141),x61143)))
% 192.07/191.93 [6115]~P117(x61151)+~P2(f317(f317(f277(x61151),x61152),x61153))+P2(f317(f317(f277(x61151),x61152),f317(f70(x61151),x61153)))
% 192.07/191.93 [6116]~P112(x61161)+~P2(f317(f317(f277(x61161),x61162),x61163))+P2(f317(f317(f277(x61161),x61162),f317(f73(x61161),x61163)))
% 192.07/191.93 [6128]E(f317(x61281,f406(x61281,x61282,x61283)),f317(a102,f2(a903)))+~E(f317(f317(f8(x61283,a903),x61281),x61282),f317(a102,f2(a903)))+~P2(f317(f29(x61283),x61282))
% 192.07/191.93 [6211]~P6(x62111)+~P2(f317(f317(f319(x62111),x62113),x62112))+P2(f317(f317(f226(x62111),f33(x62111,x62112)),x62113))
% 192.07/191.93 [6232]~P2(f317(f317(f226(a903),x62321),x62323))+P2(f317(f317(f226(a903),x62321),x62322))+~P2(f317(f317(f226(a903),x62323),x62322))
% 192.07/191.93 [6233]~P2(f317(f317(f226(a1),x62331),x62333))+P2(f317(f317(f226(a1),x62331),x62332))+~P2(f317(f317(f226(a1),x62333),x62332))
% 192.07/191.93 [6234]~P2(f317(f317(f277(a903),x62341),x62343))+P2(f317(f317(f277(a903),x62341),x62342))+~P2(f317(f317(f277(a903),x62343),x62342))
% 192.07/191.93 [6254]~P107(x62541)+~P2(f317(f317(f319(x62541),x62543),f317(f273(x62541),x62542)))+P2(f317(f317(f226(x62541),x62542),x62543))
% 192.07/191.93 [6255]~P107(x62551)+~P2(f317(f317(f319(x62551),x62552),f317(f291(x62551),x62553)))+P2(f317(f317(f226(x62551),x62552),x62553))
% 192.07/191.93 [6256]~P107(x62561)+~P2(f317(f317(f319(x62561),x62563),f317(f294(x62561),x62562)))+P2(f317(f317(f227(x62561),x62562),x62563))
% 192.07/191.93 [6257]~P107(x62571)+~P2(f317(f317(f319(x62571),x62572),f317(f272(x62571),x62573)))+P2(f317(f317(f227(x62571),x62572),x62573))
% 192.07/191.93 [6258]~P117(x62581)+~P2(f317(f317(f277(x62581),x62582),f317(f70(x62581),x62583)))+P2(f317(f317(f277(x62581),x62582),x62583))
% 192.07/191.93 [6259]~P112(x62591)+~P2(f317(f317(f277(x62591),x62592),f317(f73(x62591),x62593)))+P2(f317(f317(f277(x62591),x62592),x62593))
% 192.07/191.93 [6333]~P2(f317(x63331,x63332))+P2(f317(x63331,f777(x63331)))+~P2(f317(f317(f319(x63333),x63332),f232(f910(x63333,a898))))
% 192.07/191.93 [6481]~P63(x64811)+P2(f317(f317(f227(x64811),f2(x64811)),f848(x64813,x64812,x64811)))+P2(f317(f317(f226(x64811),x64812),x64813))
% 192.07/191.93 [6482]~P64(x64821)+P2(f317(f317(f227(x64821),f2(x64821)),f412(x64823,x64822,x64821)))+P2(f317(f317(f226(x64821),x64822),x64823))
% 192.07/191.93 [6551]~P79(x65511)+~P2(f317(f317(f226(x65511),x65513),f317(f73(x65511),x65512)))+P2(f317(f317(f226(x65511),x65512),f317(f73(x65511),x65513)))
% 192.07/191.93 [6553]~P79(x65531)+~P2(f317(f317(f227(x65531),x65533),f317(f73(x65531),x65532)))+P2(f317(f317(f227(x65531),x65532),f317(f73(x65531),x65533)))
% 192.07/191.93 [6565]~P2(f317(f317(f227(a903),x65651),x65653))+~P2(f317(f317(f227(a903),x65653),x65652))+P2(f317(f317(f227(a903),f317(a102,x65651)),x65652))
% 192.07/191.93 [6596]~P110(x65961)+P2(f317(f317(f226(x65961),f317(f90(x65961),x65962)),f317(f90(x65961),x65963)))+~P2(f317(f317(f226(a903),x65962),x65963))
% 192.07/191.93 [6597]~P117(x65971)+P2(f317(f317(f226(x65971),f317(f92(x65971),x65972)),f317(f92(x65971),x65973)))+~P2(f317(f317(f226(a1),x65972),x65973))
% 192.07/191.93 [6599]~P117(x65991)+P2(f317(f317(f227(x65991),f317(f92(x65991),x65992)),f317(f92(x65991),x65993)))+~P2(f317(f317(f227(a1),x65992),x65993))
% 192.07/191.93 [6600]~P110(x66001)+P2(f317(f317(f227(x66001),f317(f90(x66001),x66002)),f317(f90(x66001),x66003)))+~P2(f317(f317(f227(a903),x66002),x66003))
% 192.07/191.93 [6606]~P108(x66061)+E(f317(f317(f100(f910(x66061,a898)),f317(f272(x66061),x66062)),f317(f292(x66061,x66062),x66063)),f317(f272(x66061),x66063))+~P2(f317(f317(f226(x66061),x66062),x66063))
% 192.07/191.93 [6636]~P79(x66361)+~P2(f317(f317(f226(x66361),x66363),x66362))+P2(f317(f317(f226(x66361),f317(f73(x66361),x66362)),f317(f73(x66361),x66363)))
% 192.07/191.93 [6638]~P96(x66381)+~P2(f317(f317(f226(x66381),x66383),x66382))+P2(f317(f317(f226(x66381),f317(f73(x66381),x66382)),f317(f73(x66381),x66383)))
% 192.07/191.93 [6639]~P79(x66391)+~P2(f317(f317(f227(x66391),x66393),x66392))+P2(f317(f317(f227(x66391),f317(f73(x66391),x66392)),f317(f73(x66391),x66393)))
% 192.07/191.93 [6675]~P108(x66751)+E(f317(f317(f100(f910(x66751,a898)),f317(f291(x66751),x66752)),f296(x66751,x66752,x66753)),f317(f272(x66751),x66753))+~P2(f317(f317(f227(x66751),x66752),x66753))
% 192.07/191.93 [6676]~P108(x66761)+E(f317(f317(f100(f910(x66761,a898)),f317(f291(x66761),x66762)),f295(x66761,x66762,x66763)),f317(f291(x66761),x66763))+~P2(f317(f317(f226(x66761),x66762),x66763))
% 192.07/191.93 [6677]~P108(x66771)+E(f317(f317(f100(f910(x66771,a898)),f317(f272(x66771),x66772)),f293(x66771,x66772,x66773)),f317(f291(x66771),x66773))+~P2(f317(f317(f226(x66771),x66772),x66773))
% 192.07/191.93 [6711]~P108(x67111)+E(f317(f317(f100(f910(x67111,a898)),f317(f292(x67111,x67112),x67113)),f317(f273(x67111),x67113)),f317(f273(x67111),x67112))+~P2(f317(f317(f226(x67111),x67112),x67113))
% 192.07/191.93 [6873]~P108(x68731)+E(f317(f317(f100(f910(x68731,a898)),f296(x68731,x68732,x68733)),f317(f273(x68731),x68733)),f317(f294(x68731),x68732))+~P2(f317(f317(f227(x68731),x68732),x68733))
% 192.07/191.93 [6874]~P108(x68741)+E(f317(f317(f100(f910(x68741,a898)),f293(x68741,x68742,x68743)),f317(f294(x68741),x68743)),f317(f273(x68741),x68742))+~P2(f317(f317(f226(x68741),x68742),x68743))
% 192.07/191.93 [6875]~P108(x68751)+E(f317(f317(f100(f910(x68751,a898)),f295(x68751,x68752,x68753)),f317(f294(x68751),x68753)),f317(f294(x68751),x68752))+~P2(f317(f317(f226(x68751),x68752),x68753))
% 192.07/191.93 [6894]P2(f317(x68941,x68942))+~P2(f317(f317(f226(a903),x68942),x68943))+P2(f317(f317(f319(a903),f336(x68941,x68943)),f293(a903,f2(a903),x68943)))
% 192.07/191.93 [6928]E(x69281,x69282)+~E(f317(f317(f154(x69283),x69281),f562(x69283,x69282,x69281)),f317(f317(f154(x69283),x69282),f562(x69283,x69282,x69281)))+~E(f317(f179(f904(x69283)),x69281),f317(f179(f904(x69283)),x69282))
% 192.07/191.93 [6933]~E(x69333,f317(f317(f31(a903),x69331),x69332))+~P2(f317(f317(f227(a903),f2(a903)),x69332))+P2(f317(f317(f227(a903),x69331),f317(f317(f75(a903),x69332),f317(a102,x69333))))
% 192.07/191.93 [6949]~P2(f317(x69491,x69493))+~P2(f317(f317(f226(a903),x69493),x69492))+P2(f317(f317(f319(a903),f325(x69491,x69492)),f293(a903,f2(a903),x69492)))
% 192.07/191.93 [6988]~P2(f317(x69881,x69883))+P2(f317(x69881,f337(x69881,x69882)))+~P2(f317(f317(f319(a903),x69883),f293(a903,f2(a903),x69882)))
% 192.07/191.93 [7008]~P110(x70083)+~P2(f317(f317(f226(x70083),f317(f90(x70083),x70081)),f317(f90(x70083),x70082)))+P2(f317(f317(f226(a903),x70081),x70082))
% 192.07/191.93 [7009]~P117(x70093)+~P2(f317(f317(f226(x70093),f317(f92(x70093),x70091)),f317(f92(x70093),x70092)))+P2(f317(f317(f226(a1),x70091),x70092))
% 192.07/191.93 [7011]~P110(x70113)+~P2(f317(f317(f227(x70113),f317(f90(x70113),x70111)),f317(f90(x70113),x70112)))+P2(f317(f317(f227(a903),x70111),x70112))
% 192.07/191.93 [7012]~P117(x70123)+~P2(f317(f317(f227(x70123),f317(f92(x70123),x70121)),f317(f92(x70123),x70122)))+P2(f317(f317(f227(a1),x70121),x70122))
% 192.07/191.93 [7029]~P110(x70291)+~P2(f317(f317(f227(x70291),f72(x70291)),x70292))+P2(f317(f317(f227(x70291),f72(x70291)),f317(f317(f234(x70291),x70292),f317(a102,x70293))))
% 192.07/191.93 [7032]~P79(x70321)+~P2(f317(f317(f226(x70321),f317(f73(x70321),x70323)),f317(f73(x70321),x70322)))+P2(f317(f317(f226(x70321),x70322),x70323))
% 192.07/191.93 [7033]~P96(x70331)+~P2(f317(f317(f226(x70331),f317(f73(x70331),x70333)),f317(f73(x70331),x70332)))+P2(f317(f317(f226(x70331),x70332),x70333))
% 192.07/191.93 [7034]~P79(x70341)+~P2(f317(f317(f227(x70341),f317(f73(x70341),x70343)),f317(f73(x70341),x70342)))+P2(f317(f317(f227(x70341),x70342),x70343))
% 192.07/191.93 [7058]P2(f317(x70581,x70582))+~P2(f317(x70581,f339(x70581,x70583)))+~P2(f317(f317(f319(a903),x70582),f293(a903,f2(a903),x70583)))
% 192.07/191.93 [7080]~P63(x70801)+P2(f317(f317(f227(x70801),f848(x70803,x70802,x70801)),f72(x70801)))+P2(f317(f317(f226(x70801),x70802),x70803))
% 192.07/191.93 [7100]~E(f41(a903,x71003,x71002),f41(a903,x71001,x71002))+E(f317(f317(f74(a903),x71001),f317(f317(f75(a903),x71002),f881(x71001,x71002,x71003))),x71003)+~P2(f317(f317(f226(a903),x71001),x71003))
% 192.07/191.93 [7155]E(f317(f317(f11(x71551,a903),x71552),x71553),f72(a903))+~P2(f317(f29(x71551),x71553))+P2(f317(f317(f319(x71551),f363(x71552,x71553,x71551)),x71553))
% 192.07/191.93 [7156]E(f317(f317(f8(x71561,a903),x71562),x71563),f2(a903))+~P2(f317(f29(x71561),x71563))+P2(f317(f317(f319(x71561),f403(x71562,x71563,x71561)),x71563))
% 192.07/191.93 [7178]~P109(x71781)+~P2(f317(f317(f226(x71781),x71782),x71783))+P2(f317(f317(f226(f910(x71781,a898)),f317(f291(x71781),x71782)),f317(f291(x71781),x71783)))
% 192.07/191.93 [7179]~P108(x71791)+~P2(f317(f317(f226(x71791),x71792),x71793))+P2(f317(f317(f226(f910(x71791,a898)),f317(f272(x71791),x71792)),f317(f272(x71791),x71793)))
% 192.07/191.93 [7180]~P108(x71801)+~P2(f317(f317(f226(x71801),x71803),x71802))+P2(f317(f317(f226(f910(x71801,a898)),f317(f294(x71801),x71802)),f317(f294(x71801),x71803)))
% 192.07/191.93 [7181]~P109(x71811)+~P2(f317(f317(f226(x71811),x71813),x71812))+P2(f317(f317(f226(f910(x71811,a898)),f317(f273(x71811),x71812)),f317(f273(x71811),x71813)))
% 192.07/191.93 [7182]~P108(x71821)+~P2(f317(f317(f227(x71821),x71822),x71823))+P2(f317(f317(f227(f910(x71821,a898)),f317(f272(x71821),x71822)),f317(f272(x71821),x71823)))
% 192.07/191.93 [7193]~P6(x71931)+P2(f317(f317(f226(x71931),x71932),f33(x71931,x71933)))+P2(f317(f317(f319(x71931),f389(x71933,x71932,x71931)),x71933))
% 192.07/191.93 [7199]~P79(x71991)+P2(f317(f317(f226(x71991),f317(f317(f3(x71991),x71992),x71993)),f2(x71991)))+~P2(f317(f317(f226(x71991),x71992),x71993))
% 192.07/191.93 [7200]~P79(x72001)+P2(f317(f317(f227(x72001),f317(f317(f3(x72001),x72002),x72003)),f2(x72001)))+~P2(f317(f317(f227(x72001),x72002),x72003))
% 192.07/191.93 [7242]P2(f317(x72421,x72422))+P2(f317(f317(f226(a903),f339(x72421,x72423)),x72423))+~P2(f317(f317(f319(a903),x72422),f293(a903,f2(a903),x72423)))
% 192.07/191.93 [7284]~E(f317(f317(f8(x72841,a903),x72842),x72843),f72(a903))+~P2(f317(f29(x72841),x72843))+P2(f317(f317(f319(x72841),f402(x72842,x72843,x72841)),x72843))
% 192.07/191.93 [7285]~P2(f317(x72851,x72853))+P2(f317(f317(f226(a903),f337(x72851,x72852)),x72852))+~P2(f317(f317(f319(a903),x72853),f293(a903,f2(a903),x72852)))
% 192.07/191.93 [7323]~P6(x73231)+P2(f317(f317(f319(x73231),f380(x73233,x73232,x73231)),x73232))+P2(f317(f317(f226(x73231),f32(x73231,x73232)),x73233))
% 192.07/191.93 [7357]~E(f317(f317(f8(x73571,a903),x73572),x73573),f317(a102,f2(a903)))+~P2(f317(f29(x73571),x73573))+P2(f317(f317(f319(x73571),f406(x73572,x73573,x73571)),x73573))
% 192.07/191.93 [7368]E(x73681,f2(a903))+P2(f317(x73682,f41(a903,x73683,x73681)))+P2(f317(f317(f227(a903),f866(x73681,x73683,x73682)),x73681))
% 192.07/191.93 [7480]~P2(f317(x74801,x74802))+P2(f317(x74801,f41(a903,x74802,x74803)))+P2(f317(f317(f227(a903),f866(x74803,x74802,x74801)),x74803))
% 192.07/191.93 [7593]E(x75931,f103(x75932))+~P2(f317(f317(f319(f904(x75932)),x75931),f151(x75932,x75933)))+P2(f317(f317(f319(x75932),f597(x75933,x75931,x75932)),x75933))
% 192.07/191.93 [7616]~P108(x76161)+E(f317(f317(f100(f910(x76161,a898)),f317(f317(f299(x76161),x76162),f178(f910(x76161,a898)))),f296(x76161,x76162,x76163)),f317(f292(x76161,x76162),x76163))+~P2(f317(f317(f227(x76161),x76162),x76163))
% 192.07/191.93 [7638]~P108(x76381)+E(f317(f317(f100(f910(x76381,a898)),f317(f317(f299(x76381),x76382),f178(f910(x76381,a898)))),f295(x76381,x76382,x76383)),f293(x76381,x76382,x76383))+~P2(f317(f317(f226(x76381),x76382),x76383))
% 192.07/191.93 [7749]~P108(x77491)+P2(f317(f317(f226(x77491),x77492),x77493))+~P2(f317(f317(f226(f910(x77491,a898)),f317(f294(x77491),x77493)),f317(f294(x77491),x77492)))
% 192.07/191.93 [7750]~P109(x77501)+P2(f317(f317(f226(x77501),x77502),x77503))+~P2(f317(f317(f226(f910(x77501,a898)),f317(f273(x77501),x77503)),f317(f273(x77501),x77502)))
% 192.07/191.93 [7751]~P108(x77511)+P2(f317(f317(f226(x77511),x77512),x77513))+~P2(f317(f317(f226(f910(x77511,a898)),f317(f272(x77511),x77512)),f317(f272(x77511),x77513)))
% 192.07/191.93 [7752]~P109(x77521)+P2(f317(f317(f226(x77521),x77522),x77523))+~P2(f317(f317(f226(f910(x77521,a898)),f317(f291(x77521),x77522)),f317(f291(x77521),x77523)))
% 192.07/191.93 [7753]~P108(x77531)+P2(f317(f317(f227(x77531),x77532),x77533))+~P2(f317(f317(f227(f910(x77531,a898)),f317(f272(x77531),x77532)),f317(f272(x77531),x77533)))
% 192.07/191.93 [7776]~P79(x77761)+~P2(f317(f317(f226(x77761),f317(f317(f3(x77761),x77762),x77763)),f2(x77761)))+P2(f317(f317(f226(x77761),x77762),x77763))
% 192.07/191.93 [7777]~P79(x77771)+~P2(f317(f317(f227(x77771),f317(f317(f3(x77771),x77772),x77773)),f2(x77771)))+P2(f317(f317(f227(x77771),x77772),x77773))
% 192.07/191.93 [7934]E(x79341,f2(a903))+~E(f317(f132(a903,a903,f74(a903),x79342),x79343),f2(a903))+~P2(f317(f317(f319(a903),x79341),f317(f162(a903),x79343)))
% 192.07/191.93 [7938]~P6(x79381)+~P2(f317(f317(f226(x79381),f380(x79383,x79382,x79381)),x79383))+P2(f317(f317(f226(x79381),f32(x79381,x79382)),x79383))
% 192.07/191.93 [8092]P2(f317(f317(f226(a1),f2(a1)),f874(x80921,x80922,x80923)))+P2(f317(f317(x80922,f317(f317(f31(a1),x80921),x80923)),f41(a1,x80921,x80923)))+~P2(f317(f317(f227(a1),f2(a1)),x80923))
% 192.07/191.93 [8180]E(x81801,x81802)+~E(f317(f179(f904(x81803)),x81801),f317(f179(f904(x81803)),x81802))+~P2(f317(f317(f247(x81803,x81803,a898),a314),f591(x81803,x81801,x81802)))
% 192.07/191.93 [8251]~P37(x82512,x82513)+E(x82511,f178(f910(x82512,a898)))+~P2(f317(f317(f226(f910(x82512,a898)),x82511),f317(f275(x82512,x82512,x82513),x82511)))
% 192.07/191.93 [8282]~P64(x82821)+~P2(f317(f317(f226(x82821),x82822),f317(f317(f74(x82821),x82823),f412(x82823,x82822,x82821))))+P2(f317(f317(f226(x82821),x82822),x82823))
% 192.07/191.93 [8317]P52(x83171,x83172,x83173)+P2(f317(f317(f319(x83171),f593(x83173,x83172,x83171)),x83172))+P2(f317(f317(f319(f909(x83171,x83171)),f594(x83173,x83172,x83171)),x83173))
% 192.07/191.93 [8338]P2(f317(f317(x83382,f317(f317(f31(a1),x83381),x83383)),f41(a1,x83381,x83383)))+~P2(f317(f317(f227(a1),f2(a1)),x83383))+P2(f317(f317(f227(a1),f874(x83381,x83382,x83383)),x83383))
% 192.07/191.93 [8363]E(f317(f300(a903,a903,f317(f317(f9(a903,a903,a903),f3(a903)),x83631)),f317(f292(a903,x83632),x83633)),f178(f910(a903,a898)))+P2(f317(f317(f227(a903),x83631),x83633))+P2(f317(f317(f227(a903),x83632),x83633))
% 192.07/191.93 [8474]E(f317(f300(a903,a903,f317(f317(f9(a903,a903,a903),f3(a903)),x84741)),f317(f292(a903,x84742),x84743)),f317(f317(f299(a903),f2(a903)),f178(f910(a903,a898))))+P2(f317(f317(f227(a903),x84741),x84743))+~P2(f317(f317(f227(a903),x84742),x84743))
% 192.07/191.93 [8488]~P108(x84881)+E(f139(x84881,x84881,f7(x84881),x84882,x84883),x84883)+~P2(f317(f317(f319(x84881),x84882),f317(f162(x84881),x84883)))
% 192.07/191.93 [8501]P25(x85011,x85011,x85012,x85013)+~P2(f317(f29(x85011),x85013))+~P2(f317(f317(f226(f910(x85011,a898)),x85013),f317(f300(x85011,x85011,x85012),x85013)))
% 192.07/191.93 [8528]E(f317(f317(f74(a1),f317(f317(f75(a1),x85281),f875(x85282,x85283,x85281))),f874(x85282,x85283,x85281)),x85282)+P2(f317(f317(x85283,f317(f317(f31(a1),x85282),x85281)),f41(a1,x85282,x85281)))+~P2(f317(f317(f227(a1),f2(a1)),x85281))
% 192.07/191.93 [8765]~P2(f317(f317(x87651,f875(x87652,x87651,x87653)),f874(x87652,x87651,x87653)))+P2(f317(f317(x87651,f317(f317(f31(a1),x87652),x87653)),f41(a1,x87652,x87653)))+~P2(f317(f317(f227(a1),f2(a1)),x87653))
% 192.07/191.93 [9663]~P2(f317(f29(x96631),x96632))+~P2(f317(f317(f319(x96631),x96633),x96632))+P2(f317(f317(f227(a903),f317(f30(x96631),f317(f317(f3(f910(x96631,a898)),x96632),f317(f317(f299(x96631),x96633),f178(f910(x96631,a898)))))),f317(f30(x96631),x96632)))
% 192.07/191.93 [10265]P52(x102651,x102652,x102653)+~P2(f317(f317(f247(x102651,x102651,a898),f317(f317(f9(x102651,f910(x102651,a898),f910(x102651,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x102651,a898),f910(x102651,a898)),x102651),f10(a898,a898,x102651)),f317(f317(f10(a898,f910(a898,a898),x102651),a315),f317(f317(f9(x102651,f910(x102651,a898),a898),f319(x102651)),x102652)))),f317(f317(f9(x102651,f910(x102651,a898),a898),f319(x102651)),x102652))),f594(x102653,x102652,x102651)))+P2(f317(f317(f319(x102651),f593(x102653,x102652,x102651)),x102652))
% 192.07/191.93 [5557]~P122(x55572)+E(x55571,f2(x55572))+E(f317(f317(f281(x55572),x55573),f317(f73(x55572),x55571)),f317(f73(x55572),f317(f317(f281(x55572),x55573),x55571)))
% 192.07/191.93 [5698]~E(x56983,f178(f910(x56981,a898)))+~E(x56982,f178(f910(x56981,a898)))+E(f317(f317(f100(f910(x56981,a898)),x56982),x56983),f178(f910(x56981,a898)))
% 192.07/191.93 [5756]~E(x57563,f2(a903))+~P2(f317(x57561,f2(a903)))+P2(f317(x57561,f317(f317(f31(a903),x57562),x57563)))
% 192.07/191.93 [5908]~P64(x59082)+E(x59081,f2(x59082))+E(f317(f317(f281(x59082),f317(f70(x59082),x59083)),f317(f70(x59082),x59081)),f317(f70(x59082),f317(f317(f281(x59082),x59083),x59081)))
% 192.07/191.93 [6007]~P118(x60071)+~E(x60072,f72(x60071))+P2(f317(f317(f277(x60071),x60072),f317(f317(f234(x60071),x60072),x60073)))
% 192.07/191.93 [6028]~P4(x60281)+E(f317(f317(f75(x60281),x60282),f317(f317(f31(x60281),x60283),x60282)),x60283)+~P2(f317(f317(f277(x60281),x60282),x60283))
% 192.07/191.93 [6083]~P2(f317(f29(x60831),x60833))+E(f317(f30(x60831),f317(f317(f299(x60831),x60832),x60833)),f317(a102,f317(f30(x60831),x60833)))+P2(f317(f317(f319(x60831),x60832),x60833))
% 192.07/191.93 [6160]~E(x61602,f2(a903))+P2(f317(x61601,f2(a903)))+~P2(f317(x61601,f317(f317(f31(a903),x61603),x61602)))
% 192.07/191.93 [6177]~P2(f317(f29(x61771),x61773))+E(f317(f30(x61771),f317(f317(f299(x61771),x61772),x61773)),f317(f30(x61771),x61773))+~P2(f317(f317(f319(x61771),x61772),x61773))
% 192.07/191.93 [6213]~P2(f317(f29(x62131),x62133))+E(f317(f30(x62131),f317(f317(f299(x62131),x62132),x62133)),f317(f317(f74(a903),f72(a903)),f317(f30(x62131),x62133)))+P2(f317(f317(f319(x62131),x62132),x62133))
% 192.07/191.93 [6220]~P5(x62201)+E(f317(f317(f31(x62201),x62202),f317(f73(x62201),x62203)),f317(f73(x62201),f317(f317(f31(x62201),x62202),x62203)))+~P2(f317(f317(f277(x62201),x62203),x62202))
% 192.07/191.93 [6334]E(f317(f317(f74(a903),x63341),f786(x63341,x63342,x63343)),x63342)+~P2(f317(x63343,f2(a903)))+P2(f317(x63343,f317(f317(f3(a903),x63342),x63341)))
% 192.07/191.93 [6335]E(f317(f317(f74(a903),x63351),f794(x63351,x63352,x63353)),x63352)+~P2(f317(x63353,f2(a903)))+P2(f317(x63353,f317(f317(f3(a903),x63352),x63351)))
% 192.07/191.93 [6360]~P5(x63601)+E(f317(f317(f31(x63601),f317(f73(x63601),x63602)),x63603),f317(f73(x63601),f317(f317(f31(x63601),x63602),x63603)))+~P2(f317(f317(f277(x63601),x63603),x63602))
% 192.07/191.93 [6384]~P6(x63841)+~P2(f317(f29(x63841),x63843))+E(f317(f317(f59(x63841,x63841,f100(x63841)),x63842),x63843),f317(f317(f100(x63841),x63842),f32(x63841,x63843)))
% 192.07/191.93 [6385]~P6(x63851)+~P2(f317(f29(x63851),x63853))+E(f317(f317(f59(x63851,x63851,f91(x63851)),x63852),x63853),f317(f317(f91(x63851),x63852),f33(x63851,x63853)))
% 192.07/191.93 [6391]~P93(x63911)+~E(f317(f93(x63911),x63912),f317(f93(x63911),x63913))+P28(x63911,f317(f93(x63911),f317(f317(f74(a1),x63912),f317(f73(a1),x63913))))
% 192.07/191.93 [6401]~P141(x64011)+E(f317(f317(f3(x64011),f317(f90(x64011),x64012)),f317(f90(x64011),x64013)),f317(f90(x64011),f317(f317(f3(a903),x64012),x64013)))+~P2(f317(f317(f226(a903),x64013),x64012))
% 192.07/191.93 [6408]~P117(x64081)+~P2(f317(f317(f277(x64081),x64082),x64083))+P2(f317(f317(f277(x64081),f317(f70(x64081),x64082)),x64083))
% 192.07/191.93 [6409]~P112(x64091)+~P2(f317(f317(f277(x64091),x64092),x64093))+P2(f317(f317(f277(x64091),f317(f73(x64091),x64092)),x64093))
% 192.07/191.93 [6492]E(f317(f317(f74(a903),x64921),f786(x64921,x64922,x64923)),x64922)+P2(f317(f317(f227(a903),x64922),x64921))+P2(f317(x64923,f317(f317(f3(a903),x64922),x64921)))
% 192.07/191.93 [6493]E(f317(f317(f74(a903),x64931),f794(x64931,x64932,x64933)),x64932)+P2(f317(f317(f227(a903),x64932),x64931))+P2(f317(x64933,f317(f317(f3(a903),x64932),x64931)))
% 192.07/191.93 [6509]~P117(x65091)+E(f317(f317(f75(x65091),f317(f70(x65091),x65092)),x65093),f317(f70(x65091),f317(f317(f75(x65091),x65092),x65093)))+~P2(f317(f317(f226(x65091),f2(x65091)),x65093))
% 192.07/191.93 [6510]~P63(x65101)+E(f317(f317(f281(x65101),f317(f70(x65101),x65102)),x65103),f317(f70(x65101),f317(f317(f281(x65101),x65102),x65103)))+~P2(f317(f317(f227(x65101),f2(x65101)),x65103))
% 192.07/191.93 [6519]~P102(x65191)+~P2(f317(f29(x65191),x65193))+E(f317(f317(f59(x65191,x65191,f100(x65191)),x65192),x65193),f12(x65191,f317(f317(f299(x65191),x65192),x65193)))
% 192.07/191.93 [6520]~P102(x65201)+~P2(f317(f29(x65201),x65203))+E(f317(f317(f59(x65201,x65201,f91(x65201)),x65202),x65203),f13(x65201,f317(f317(f299(x65201),x65202),x65203)))
% 192.07/191.93 [6521]~P108(x65211)+~P2(f317(f29(x65211),x65213))+E(f317(f317(f59(x65211,x65211,f224(x65211)),x65212),x65213),f16(x65211,f317(f317(f299(x65211),x65212),x65213)))
% 192.07/191.93 [6522]~P108(x65221)+~P2(f317(f29(x65221),x65223))+E(f317(f317(f59(x65221,x65221,f225(x65221)),x65222),x65223),f17(x65221,f317(f317(f299(x65221),x65222),x65223)))
% 192.07/191.93 [6567]E(x65671,f103(x65672))+~E(f169(x65672,x65673),f103(f904(x65672)))+~P2(f317(f317(f319(f904(x65672)),x65671),f317(f162(f904(x65672)),x65673)))
% 192.07/191.93 [6586]~P118(x65861)+~P2(f317(f317(f227(a903),f2(a903)),x65863))+P2(f317(f317(f277(x65861),x65862),f317(f317(f234(x65861),x65862),x65863)))
% 192.07/191.93 [6614]~P2(f317(f127(x66141),x66143))+P2(f317(f317(f319(x66141),x66142),f317(f162(x66141),x66143)))+P2(f317(f127(x66141),f317(f317(f141(x66141),x66142),x66143)))
% 192.07/191.93 [6625]~P97(x66251)+~P2(f317(f29(x66251),x66253))+E(f317(f58(x66251,f75(x66251)),f317(f317(f299(x66251),x66252),x66253)),f317(f317(f59(x66251,x66251,f75(x66251)),x66252),x66253))
% 192.07/191.93 [6647]~P108(x66471)+~P2(f317(f29(x66471),x66473))+E(f14(x66471,f224(x66471),f317(f317(f299(x66471),x66472),x66473)),f317(f317(f59(x66471,x66471,f224(x66471)),x66472),x66473))
% 192.07/191.93 [6648]~P108(x66481)+~P2(f317(f29(x66481),x66483))+E(f15(x66481,f225(x66481),f317(f317(f299(x66481),x66482),x66483)),f317(f317(f59(x66481,x66481,f225(x66481)),x66482),x66483))
% 192.07/191.93 [6650]P2(f317(x66501,f2(a903)))+~P2(f317(f317(f227(a903),x66502),x66503))+~P2(f317(x66501,f317(f317(f3(a903),x66502),x66503)))
% 192.07/191.93 [6671]~P85(x66711)+P2(f317(f317(f226(x66711),x66712),x66713))+~P2(f317(f317(f226(x66711),f317(f70(x66711),x66712)),x66713))
% 192.07/191.93 [6672]~P117(x66721)+P2(f317(f317(f227(x66721),x66722),x66723))+~P2(f317(f317(f227(x66721),f317(f70(x66721),x66722)),x66723))
% 192.07/191.93 [6673]~P117(x66731)+P2(f317(f317(f277(x66731),x66732),x66733))+~P2(f317(f317(f277(x66731),f317(f70(x66731),x66732)),x66733))
% 192.07/191.93 [6674]~P112(x66741)+P2(f317(f317(f277(x66741),x66742),x66743))+~P2(f317(f317(f277(x66741),f317(f73(x66741),x66742)),x66743))
% 192.07/191.93 [6691]E(x66911,f103(x66912))+E(f317(f131(x66912),f317(f317(f128(x66912),x66913),x66911)),f317(f317(f154(x66912),x66911),x66913))+~P2(f317(f317(f227(a903),x66913),f317(f179(f904(x66912)),x66911)))
% 192.07/191.93 [6746]~P2(f317(x67461,x67463))+P2(f317(x67461,f364(x67461,x67462)))+~P2(f317(f317(f319(a903),x67463),f317(f292(a903,f2(a903)),x67462)))
% 192.07/191.93 [6766]P2(f317(x67661,x67662))+~P2(f317(f317(f227(a903),x67662),x67663))+P2(f317(f317(f319(a903),f340(x67661,x67663)),f317(f292(a903,f2(a903)),x67663)))
% 192.07/191.93 [6781]~P110(x67811)+~P2(f317(f317(f226(x67811),f72(x67811)),x67812))+P2(f317(f317(f226(x67811),f72(x67811)),f317(f317(f234(x67811),x67812),x67813)))
% 192.07/191.93 [6783]~P110(x67831)+~P2(f317(f317(f226(x67831),f2(x67831)),x67832))+P2(f317(f317(f226(x67831),f2(x67831)),f317(f317(f234(x67831),x67832),x67833)))
% 192.07/191.93 [6785]~P110(x67851)+~P2(f317(f317(f227(x67851),f2(x67851)),x67852))+P2(f317(f317(f227(x67851),f2(x67851)),f317(f317(f234(x67851),x67852),x67853)))
% 192.07/191.93 [6811]~P2(f317(x68111,x68113))+~P2(f317(f317(f227(a903),x68113),x68112))+P2(f317(f317(f319(a903),f335(x68111,x68112)),f317(f292(a903,f2(a903)),x68112)))
% 192.07/191.93 [6819]P2(f317(f29(x68191),x68192))+~P2(f317(f29(x68191),x68193))+~P2(f317(f317(f226(f910(x68191,a898)),x68192),x68193))
% 192.07/191.93 [6826]~P2(f317(f317(f277(a903),x68261),x68262))+~P2(f317(f317(f277(a903),x68261),x68263))+P2(f317(f317(f277(a903),x68261),f317(f317(f3(a903),x68262),x68263)))
% 192.07/191.93 [6827]P2(f317(x68271,x68272))+~P2(f317(x68271,f341(x68271,x68273)))+~P2(f317(f317(f319(a903),x68272),f317(f292(a903,f2(a903)),x68273)))
% 192.07/191.93 [6840]E(x68401,f2(a903))+P2(f317(x68402,f871(x68401,x68403,x68402)))+~P2(f317(x68402,f317(f317(f31(a903),x68403),x68401)))
% 192.07/191.93 [6848]~P126(x68482)+E(x68481,f2(x68482))+~E(f317(f317(f74(x68482),f317(f317(f75(x68482),x68483),x68483)),f317(f317(f75(x68482),x68481),x68481)),f2(x68482))
% 192.07/191.93 [6849]~P126(x68492)+E(x68491,f2(x68492))+~E(f317(f317(f74(x68492),f317(f317(f75(x68492),x68491),x68491)),f317(f317(f75(x68492),x68493),x68493)),f2(x68492))
% 192.07/191.93 [6895]E(x68951,f2(a903))+~P2(f317(x68952,f872(x68951,x68953,x68952)))+P2(f317(x68952,f317(f317(f31(a903),x68953),x68951)))
% 192.07/191.93 [6900]~P108(x69001)+~P14(x69001,x69003)+P14(x69001,f317(f317(f138(x69001,x69001,f7(x69001)),x69002),x69003))
% 192.07/191.93 [6942]P2(f317(x69421,f871(x69422,x69423,x69421)))+P2(f317(x69421,f2(a903)))+~P2(f317(x69421,f317(f317(f31(a903),x69423),x69422)))
% 192.07/191.93 [6948]~P93(x69481)+E(f317(f93(x69481),x69482),f317(f93(x69481),x69483))+~P28(x69481,f317(f93(x69481),f317(f317(f74(a1),x69482),f317(f73(a1),x69483))))
% 192.07/191.93 [7015]E(x70151,f2(a1))+E(x70152,f2(a1))+~P2(f317(f45(x70152,x70152),f317(f317(f242(a1,a1),x70153),x70151)))
% 192.07/191.93 [7016]E(x70161,f72(a1))+E(x70162,f2(a1))+~P2(f317(f45(x70162,x70162),f317(f317(f242(a1,a1),x70161),x70163)))
% 192.07/191.93 [7031]P2(f317(x70311,x70312))+P2(f317(f317(f227(a903),f341(x70311,x70313)),x70313))+~P2(f317(f317(f319(a903),x70312),f317(f292(a903,f2(a903)),x70313)))
% 192.07/191.93 [7054]~P2(f317(x70541,f786(x70543,x70542,x70541)))+~P2(f317(x70541,f2(a903)))+P2(f317(x70541,f317(f317(f3(a903),x70542),x70543)))
% 192.07/191.93 [7055]~P2(f317(x70551,f794(x70553,x70552,x70551)))+~P2(f317(x70551,f2(a903)))+P2(f317(x70551,f317(f317(f3(a903),x70552),x70553)))
% 192.07/191.93 [7056]~P2(f317(x70561,f872(x70563,x70562,x70561)))+~P2(f317(x70561,f2(a903)))+P2(f317(x70561,f317(f317(f31(a903),x70562),x70563)))
% 192.07/191.93 [7076]~P2(f317(x70761,x70763))+P2(f317(f317(f227(a903),f364(x70761,x70762)),x70762))+~P2(f317(f317(f319(a903),x70763),f317(f292(a903,f2(a903)),x70762)))
% 192.07/191.93 [7077]E(f317(f317(f3(a903),f317(f317(f3(a903),x70771),x70772)),f317(f317(f3(a903),x70773),x70772)),f317(f317(f3(a903),x70771),x70773))+~P2(f317(f317(f226(a903),x70772),x70771))+~P2(f317(f317(f226(a903),x70772),x70773))
% 192.07/191.93 [7113]~P79(x71131)+~P2(f317(f317(f226(x71131),f317(f73(x71131),x71133)),x71132))+P2(f317(f317(f226(x71131),f317(f73(x71131),x71132)),x71133))
% 192.07/191.93 [7115]~P85(x71151)+~P2(f317(f317(f226(x71151),f317(f70(x71151),x71152)),x71153))+P2(f317(f317(f226(x71151),f317(f73(x71151),x71152)),x71153))
% 192.07/191.93 [7117]~P79(x71171)+~P2(f317(f317(f227(x71171),f317(f73(x71171),x71173)),x71172))+P2(f317(f317(f227(x71171),f317(f73(x71171),x71172)),x71173))
% 192.07/191.93 [7118]~P117(x71181)+~P2(f317(f317(f227(x71181),f317(f70(x71181),x71182)),x71183))+P2(f317(f317(f227(x71181),f317(f73(x71181),x71182)),x71183))
% 192.07/191.93 [7150]~P2(f317(x71503,f786(x71502,x71501,x71503)))+P2(f317(f317(f227(a903),x71501),x71502))+P2(f317(x71503,f317(f317(f3(a903),x71501),x71502)))
% 192.07/191.93 [7151]~P2(f317(x71513,f794(x71512,x71511,x71513)))+P2(f317(f317(f227(a903),x71511),x71512))+P2(f317(x71513,f317(f317(f3(a903),x71511),x71512)))
% 192.07/191.93 [7203]~E(f390(x72033,x72032,x72031),f391(x72033,x72032,x72031))+E(f317(f317(f91(f910(x72031,a898)),x72032),f32(f910(x72031,a898),x72033)),f178(f910(x72031,a898)))+P2(f317(f317(f319(f910(x72031,a898)),x72032),x72033))
% 192.07/191.93 [7211]~P2(f317(f29(x72111),x72113))+P2(f317(f29(x72111),f33(f910(x72111,a898),x72112)))+~P2(f317(f317(f319(f910(x72111,a898)),x72113),x72112))
% 192.07/191.93 [7271]~P108(x72711)+E(f317(f317(f100(f910(x72711,a898)),f317(f292(x72711,x72712),x72713)),f317(f317(f299(x72711),x72713),f178(f910(x72711,a898)))),f293(x72711,x72712,x72713))+~P2(f317(f317(f226(x72711),x72712),x72713))
% 192.07/191.93 [7274]E(x72741,f2(a903))+P2(f317(f317(f227(a903),f878(x72741,x72743,x72742)),x72741))+P2(f317(x72742,f317(f317(f31(a903),x72743),x72741)))
% 192.07/191.93 [7303]P2(f317(f317(f227(a903),f317(f179(f904(x73031)),x73032)),f770(x73033,x73031)))+~P2(f317(f29(f904(x73031)),x73033))+~P2(f317(f317(f319(f904(x73031)),x73032),x73033))
% 192.07/191.93 [7309]E(x73091,x73092)+~P2(f317(f317(f226(f910(x73093,a898)),x73091),x73092))+P2(f317(f317(f227(f910(x73093,a898)),x73091),x73092))
% 192.07/191.93 [7320]E(x73201,x73202)+~E(f317(f179(f904(x73203)),x73201),f317(f179(f904(x73203)),x73202))+P2(f317(f317(f227(a903),f562(x73203,x73201,x73202)),f317(f179(f904(x73203)),x73202)))
% 192.07/191.93 [7369]P9(x73691,x73692,x73693)+~E(f317(f254(x73691,x73691),x73693),x73692)+~E(f317(f317(f279(x73691,x73691,x73691),f317(f276(x73691,x73691),x73693)),x73693),x73693)
% 192.07/191.93 [7449]~P2(f317(x74491,f2(a903)))+P2(f317(f317(f227(a903),f878(x74493,x74492,x74491)),x74493))+P2(f317(x74491,f317(f317(f31(a903),x74492),x74493)))
% 192.07/191.93 [7459]~P108(x74591)+E(f317(f317(f100(f910(x74591,a898)),f296(x74591,x74592,x74593)),f317(f317(f299(x74591),x74593),f178(f910(x74591,a898)))),f295(x74591,x74592,x74593))+~P2(f317(f317(f227(x74591),x74592),x74593))
% 192.07/191.93 [7551]~P2(f317(f29(x75511),x75513))+P2(f317(f317(f226(a903),f317(f30(x75511),x75512)),f317(f30(x75511),x75513)))+~P2(f317(f317(f226(f910(x75511,a898)),x75512),x75513))
% 192.07/191.93 [7552]~P2(f317(f29(x75521),x75523))+P2(f317(f317(f227(a903),f317(f30(x75521),x75522)),f317(f30(x75521),x75523)))+~P2(f317(f317(f227(f910(x75521,a898)),x75522),x75523))
% 192.07/191.93 [7684]E(x76841,x76842)+~P2(f317(f317(f226(f910(x76843,a898)),x76842),x76841))+~P2(f317(f317(f226(f910(x76843,a898)),x76841),x76842))
% 192.07/191.93 [7687]~P108(x76871)+P14(x76871,x76872)+~P14(x76871,f317(f317(f138(x76871,x76871,f7(x76871)),x76873),x76872))
% 192.07/191.93 [7758]~P2(f317(f317(f227(a903),x77583),x77582))+~P2(f317(f317(f227(a903),x77583),x77581))+P2(f317(f317(f227(a903),f317(f317(f3(a903),x77581),x77582)),f317(f317(f3(a903),x77581),x77583)))
% 192.07/191.93 [7759]~P2(f317(f317(f226(a903),x77592),x77591))+~P2(f317(f317(f227(a903),x77591),x77593))+P2(f317(f317(f227(a903),f317(f317(f3(a903),x77591),x77592)),f317(f317(f3(a903),x77593),x77592)))
% 192.07/191.93 [7774]~P2(f317(f317(f227(a1),x77742),f2(a1)))+~P2(f317(f317(f226(a1),x77743),x77741))+P2(f317(f317(f226(a1),f317(f317(f31(a1),x77741),x77742)),f317(f317(f31(a1),x77743),x77742)))
% 192.07/191.93 [7791]~P2(f317(f317(f227(a903),f2(a903)),x77913))+~P2(f317(f317(f226(a903),x77913),x77912))+P2(f317(f317(f226(a903),f317(f317(f31(a903),x77911),x77912)),f317(f317(f31(a903),x77911),x77913)))
% 192.07/191.93 [7792]~P2(f317(f317(f227(a1),f2(a1)),x77922))+~P2(f317(f317(f226(a1),x77921),x77923))+P2(f317(f317(f226(a1),f317(f317(f31(a1),x77921),x77922)),f317(f317(f31(a1),x77923),x77922)))
% 192.07/191.93 [7796]~P2(f317(f317(f227(a903),f2(a903)),x77962))+~P2(f317(f317(f227(a903),x77961),x77963))+P2(f317(f317(f227(a903),f317(f317(f75(a903),x77961),x77962)),f317(f317(f75(a903),x77963),x77962)))
% 192.07/191.93 [7797]~P2(f317(f317(f227(a903),f2(a903)),x77971))+~P2(f317(f317(f227(a903),x77972),x77973))+P2(f317(f317(f227(a903),f317(f317(f75(a903),x77971),x77972)),f317(f317(f75(a903),x77971),x77973)))
% 192.07/191.93 [7798]~P2(f317(f317(f227(a1),f2(a1)),x77981))+~P2(f317(f317(f227(a1),x77982),x77983))+P2(f317(f317(f227(a1),f317(f317(f75(a1),x77981),x77982)),f317(f317(f75(a1),x77981),x77983)))
% 192.07/191.93 [7847]E(x78471,f2(a903))+E(f317(f317(f74(a903),f317(f317(f75(a903),x78471),f872(x78471,x78472,x78473))),f878(x78471,x78472,x78473)),x78472)+P2(f317(x78473,f317(f317(f31(a903),x78472),x78471)))
% 192.07/191.93 [7907]E(f317(f317(f74(a903),f317(f317(f75(a903),x79071),f872(x79071,x79072,x79073))),f878(x79071,x79072,x79073)),x79072)+~P2(f317(x79073,f2(a903)))+P2(f317(x79073,f317(f317(f31(a903),x79072),x79071)))
% 192.07/191.93 [7925]~P2(f317(f29(x79251),x79253))+P2(f317(f317(f319(x79251),f373(x79252,x79253,x79251)),x79253))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f11(x79251,a903),x79252),x79253)))
% 192.07/191.93 [7926]~P2(f317(f29(x79261),x79263))+P2(f317(f317(f319(x79261),f404(x79262,x79263,x79261)),x79263))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f11(x79261,a903),x79262),x79263)))
% 192.07/191.93 [8026]E(x80261,f2(a903))+P2(f317(f317(f277(a903),x80262),x80263))+~P2(f317(f317(f277(a903),f317(f317(f75(a903),x80261),x80262)),f317(f317(f75(a903),x80261),x80263)))
% 192.07/191.93 [8216]E(x82161,f178(f910(x82162,a898)))+E(x82161,f317(f317(f299(x82162),x82163),f178(f910(x82162,a898))))+~P2(f317(f317(f226(f910(x82162,a898)),x82161),f317(f317(f299(x82162),x82163),f178(f910(x82162,a898)))))
% 192.07/191.93 [8252]~P2(f317(f317(f227(a903),f72(a903)),x82523))+P2(f317(f317(f226(a903),x82521),x82522))+~P2(f317(f317(f277(a903),f317(f317(f234(a903),x82523),x82521)),f317(f317(f234(a903),x82523),x82522)))
% 192.07/191.93 [8254]~P2(f317(f317(f227(a903),f2(a903)),x82543))+P2(f317(f317(f226(a903),x82541),x82542))+~P2(f317(f317(f226(a903),f317(f317(f75(a903),x82543),x82541)),f317(f317(f75(a903),x82543),x82542)))
% 192.07/191.93 [8255]~P2(f317(f317(f227(a903),f2(a903)),x82553))+P2(f317(f317(f226(a903),x82551),x82552))+~P2(f317(f317(f226(a903),f317(f317(f75(a903),x82551),x82553)),f317(f317(f75(a903),x82552),x82553)))
% 192.07/191.93 [8257]~P2(f317(f317(f227(a903),f2(a903)),x82573))+P2(f317(f317(f227(a903),x82571),x82572))+~P2(f317(f317(f227(a903),f317(f317(f234(a903),x82573),x82571)),f317(f317(f234(a903),x82573),x82572)))
% 192.07/191.93 [8259]~P2(f317(f317(f227(a903),f2(a903)),x82593))+P2(f317(f317(f277(a903),x82591),x82592))+~P2(f317(f317(f277(a903),f317(f317(f75(a903),x82593),x82591)),f317(f317(f75(a903),x82593),x82592)))
% 192.07/191.93 [8298]~E(f317(f317(f91(f910(x82981,a898)),f391(x82983,x82982,x82981)),f390(x82983,x82982,x82981)),f178(f910(x82981,a898)))+E(f317(f317(f91(f910(x82981,a898)),x82982),f32(f910(x82981,a898),x82983)),f178(f910(x82981,a898)))+P2(f317(f317(f319(f910(x82981,a898)),x82982),x82983))
% 192.07/191.93 [8312]E(x83121,f103(x83122))+~E(f317(f132(f904(x83122),f904(x83122),f124(x83122),f103(x83122)),x83123),f103(x83122))+~P2(f317(f317(f319(f904(x83122)),x83121),f317(f162(f904(x83122)),x83123)))
% 192.07/191.93 [8368]E(x83681,f178(f910(f910(x83682,a898),a898)))+P2(f317(f317(f319(f910(x83682,a898)),f415(x83683,x83681,x83682)),x83681))+P2(f317(f317(f226(f910(x83682,a898)),f33(f910(x83682,a898),x83681)),x83683))
% 192.07/191.93 [8374]~P71(x83741)+~P75(x83741)+E(f317(f317(f11(a1,x83741),f317(f317(f10(a903,x83741,a1),x83742),a94)),f317(f300(a903,a1,f90(a1)),x83743)),f317(f317(f11(a903,x83741),x83742),x83743))
% 192.07/191.93 [8375]~P71(x83751)+~P75(x83751)+E(f317(f317(f8(a1,x83751),f317(f317(f10(a903,x83751,a1),x83752),a94)),f317(f300(a903,a1,f90(a1)),x83753)),f317(f317(f8(a903,x83751),x83752),x83753))
% 192.07/191.93 [8417]~P2(f317(f29(x84171),x84173))+~P2(f317(f317(f227(a903),f2(a903)),f317(x84172,f373(x84172,x84173,x84171))))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f11(x84171,a903),x84172),x84173)))
% 192.07/191.93 [8418]~P2(f317(f29(x84181),x84183))+~P2(f317(f317(f227(a903),f2(a903)),f317(x84182,f404(x84182,x84183,x84181))))+P2(f317(f317(f227(a903),f2(a903)),f317(f317(f11(x84181,a903),x84182),x84183)))
% 192.07/191.93 [8454]~P62(x84542)+E(x84541,f72(x84542))+E(f317(f317(f281(x84542),f317(f317(f3(x84542),f317(f317(f234(x84542),x84541),x84543)),f72(x84542))),f317(f317(f3(x84542),x84541),f72(x84542))),f317(f317(f8(a903,x84542),f317(f234(x84542),x84541)),f317(f292(a903,f2(a903)),x84543)))
% 192.07/191.93 [8512]E(x85121,f2(a903))+~P2(f317(x85123,f317(f317(f31(a903),x85122),x85121)))+P2(f317(f317(f227(a903),x85122),f317(f317(f75(a903),x85121),f317(a102,f871(x85121,x85122,x85123)))))
% 192.07/191.93 [8532]P2(f317(x85321,f2(a903)))+~P2(f317(x85321,f317(f317(f31(a903),x85322),x85323)))+P2(f317(f317(f227(a903),x85322),f317(f317(f75(a903),x85323),f317(a102,f871(x85323,x85322,x85321)))))
% 192.07/191.93 [8570]E(x85701,f2(a903))+~P2(f317(x85703,f317(f317(f31(a903),x85702),x85701)))+P2(f317(f317(f226(a903),f317(f317(f75(a903),x85701),f871(x85701,x85702,x85703))),x85702))
% 192.07/191.93 [8601]P2(f317(x86011,f2(a903)))+~P2(f317(x86011,f317(f317(f31(a903),x86013),x86012)))+P2(f317(f317(f226(a903),f317(f317(f75(a903),x86012),f871(x86012,x86013,x86011))),x86013))
% 192.07/191.93 [8609]~P108(x86091)+E(f317(f317(f138(x86091,x86091,f7(x86091)),x86092),x86093),f139(x86091,x86091,f7(x86091),x86092,x86093))+P2(f317(f317(f319(x86091),x86092),f317(f162(x86091),x86093)))
% 192.07/191.93 [8644]~E(f317(x86443,f666(x86442,x86443,x86441)),f317(x86443,f668(x86442,x86443,x86441)))+~P59(x86441,f317(x86443,f667(x86442,x86443,x86441)))+P59(x86441,f317(f317(f36(x86442,f910(x86441,f910(x86441,a898))),f232(f910(x86442,a898))),x86443))
% 192.07/191.93 [8653]E(x86531,f178(f910(f910(x86532,a898),a898)))+~P2(f317(f317(f226(f910(x86532,a898)),f415(x86533,x86531,x86532)),x86533))+P2(f317(f317(f226(f910(x86532,a898)),f33(f910(x86532,a898),x86531)),x86533))
% 192.07/191.93 [8713]~P64(x87131)+~P2(f317(f317(f227(x87131),x87132),x87133))+P2(f317(f317(f227(x87131),x87132),f317(f317(f281(x87131),f317(f317(f74(x87131),x87132),x87133)),f317(f317(f74(x87131),f72(x87131)),f72(x87131)))))
% 192.07/191.93 [8771]~P2(f317(f317(x87711,f466(x87711,x87713,x87712)),f471(x87711,x87713,x87712)))+P2(f317(f317(x87711,x87712),x87713))+~P2(f317(f305(f909(a1,a1),a48),f317(f317(f242(a1,a1),x87712),x87713)))
% 192.07/191.93 [8772]~P2(f317(f317(x87721,f472(x87721,x87723,x87722)),f473(x87721,x87723,x87722)))+P2(f317(f317(x87721,x87722),x87723))+~P2(f317(f305(f909(a1,a1),a54),f317(f317(f242(a1,a1),x87722),x87723)))
% 192.07/191.93 [8773]~P2(f317(f317(x87731,f474(x87731,x87733,x87732)),f477(x87731,x87733,x87732)))+P2(f317(f317(x87731,x87732),x87733))+~P2(f317(f305(f909(a1,a1),a211),f317(f317(f242(a1,a1),x87732),x87733)))
% 192.07/191.93 [8774]~P2(f317(f317(x87741,f478(x87741,x87743,x87742)),f479(x87741,x87743,x87742)))+P2(f317(f317(x87741,x87742),x87743))+~P2(f317(f305(f909(a903,a903),a209),f317(f317(f242(a903,a903),x87742),x87743)))
% 192.07/191.93 [8775]~P2(f317(f317(x87751,f599(x87751,x87753,x87752)),f600(x87751,x87753,x87752)))+P2(f317(f317(x87751,x87752),x87753))+~P2(f317(f305(f909(a1,a1),a172),f317(f317(f242(a1,a1),x87752),x87753)))
% 192.07/191.93 [8776]~P2(f317(f317(x87761,f757(x87761,x87763,x87762)),f758(x87761,x87763,x87762)))+P2(f317(f317(x87761,x87762),x87763))+~P2(f317(f305(f909(a1,a1),a123),f317(f317(f242(a1,a1),x87762),x87763)))
% 192.07/191.93 [9049]P2(f317(f317(x90491,x90492),x90493))+P2(f317(f305(f909(a903,a903),a209),f317(f317(f242(a903,a903),f478(x90491,x90493,x90492)),f479(x90491,x90493,x90492))))+~P2(f317(f305(f909(a903,a903),a209),f317(f317(f242(a903,a903),x90492),x90493)))
% 192.07/191.93 [9050]P2(f317(f317(x90501,x90502),x90503))+P2(f317(f305(f909(a1,a1),a48),f317(f317(f242(a1,a1),f466(x90501,x90503,x90502)),f471(x90501,x90503,x90502))))+~P2(f317(f305(f909(a1,a1),a48),f317(f317(f242(a1,a1),x90502),x90503)))
% 192.07/191.93 [9051]P2(f317(f317(x90511,x90512),x90513))+P2(f317(f305(f909(a1,a1),a54),f317(f317(f242(a1,a1),f472(x90511,x90513,x90512)),f473(x90511,x90513,x90512))))+~P2(f317(f305(f909(a1,a1),a54),f317(f317(f242(a1,a1),x90512),x90513)))
% 192.07/191.93 [9052]P2(f317(f317(x90521,x90522),x90523))+P2(f317(f305(f909(a1,a1),a211),f317(f317(f242(a1,a1),f474(x90521,x90523,x90522)),f477(x90521,x90523,x90522))))+~P2(f317(f305(f909(a1,a1),a211),f317(f317(f242(a1,a1),x90522),x90523)))
% 192.07/191.93 [9053]P2(f317(f317(x90531,x90532),x90533))+P2(f317(f305(f909(a1,a1),a172),f317(f317(f242(a1,a1),f599(x90531,x90533,x90532)),f600(x90531,x90533,x90532))))+~P2(f317(f305(f909(a1,a1),a172),f317(f317(f242(a1,a1),x90532),x90533)))
% 192.07/191.93 [9054]P2(f317(f317(x90541,x90542),x90543))+P2(f317(f305(f909(a1,a1),a123),f317(f317(f242(a1,a1),f757(x90541,x90543,x90542)),f758(x90541,x90543,x90542))))+~P2(f317(f305(f909(a1,a1),a123),f317(f317(f242(a1,a1),x90542),x90543)))
% 192.07/191.93 [9389]~P2(f317(f29(x93891),x93893))+P2(f317(f317(f319(f909(f910(x93891,a898),f910(x93891,a898))),f317(f317(f242(f910(x93891,a898),f910(x93891,a898)),x93892),x93893)),f304(x93891)))+~P2(f317(f317(f227(f910(x93891,a898)),x93892),x93893))
% 192.07/191.93 [9465]~P59(x94651,f317(x94653,f667(x94652,x94653,x94651)))+P59(x94651,f317(f317(f36(x94652,f910(x94651,f910(x94651,a898))),f232(f910(x94652,a898))),x94653))+~E(f317(f317(f91(f910(x94651,a898)),f239(x94651,x94651,f317(x94653,f666(x94652,x94653,x94651)))),f240(x94651,x94651,f317(x94653,f668(x94652,x94653,x94651)))),f178(f910(x94651,a898)))
% 192.07/191.93 [9676]P52(x96761,x96762,x96763)+P2(f317(f317(f319(f909(x96761,x96761)),f594(x96763,x96762,x96761)),x96763))+~P2(f317(f317(f319(f909(x96761,x96761)),f317(f317(f242(x96761,x96761),f593(x96763,x96762,x96761)),f593(x96763,x96762,x96761))),x96763))
% 192.07/191.93 [10268]P52(x102681,x102682,x102683)+~P2(f317(f317(f247(x102681,x102681,a898),f317(f317(f9(x102681,f910(x102681,a898),f910(x102681,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x102681,a898),f910(x102681,a898)),x102681),f10(a898,a898,x102681)),f317(f317(f10(a898,f910(a898,a898),x102681),a315),f317(f317(f9(x102681,f910(x102681,a898),a898),f319(x102681)),x102682)))),f317(f317(f9(x102681,f910(x102681,a898),a898),f319(x102681)),x102682))),f594(x102683,x102682,x102681)))+~P2(f317(f317(f319(f909(x102681,x102681)),f317(f317(f242(x102681,x102681),f593(x102683,x102682,x102681)),f593(x102683,x102682,x102681))),x102683))
% 192.07/191.93 [5738]~P4(x57382)+E(x57381,f2(x57382))+E(f317(f317(f31(x57382),f317(f317(f75(x57382),x57383),x57381)),x57381),x57383)
% 192.07/191.93 [5739]~P4(x57392)+E(x57391,f2(x57392))+E(f317(f317(f31(x57392),f317(f317(f75(x57392),x57391),x57393)),x57391),x57393)
% 192.07/191.93 [6402]~P4(x64021)+E(f317(f317(f75(x64021),f317(f317(f31(x64021),x64022),x64023)),x64023),x64022)+~P2(f317(f317(f277(x64021),x64023),x64022))
% 192.07/191.93 [6566]~P75(x65661)+~E(f317(x65662,f2(a903)),f2(x65661))+E(f317(f317(f8(a903,x65661),x65662),f317(f292(a903,f317(a102,f2(a903))),x65663)),f317(f317(f8(a903,x65661),x65662),f317(f292(a903,f2(a903)),x65663)))
% 192.07/191.93 [6704]~P4(x67042)+E(x67041,f2(x67042))+E(f317(f317(f31(x67042),f317(f317(f74(x67042),x67043),x67041)),x67041),f317(f317(f74(x67042),f317(f317(f31(x67042),x67043),x67041)),f72(x67042)))
% 192.07/191.93 [6705]~P4(x67052)+E(x67051,f2(x67052))+E(f317(f317(f31(x67052),f317(f317(f74(x67052),x67051),x67053)),x67051),f317(f317(f74(x67052),f317(f317(f31(x67052),x67053),x67051)),f72(x67052)))
% 192.07/191.93 [6931]~P2(f317(x69313,f2(a1)))+P2(f317(f317(f226(a903),x69311),x69312))+P2(f317(x69313,f317(f90(a1),f317(f317(f3(a903),x69312),x69311))))
% 192.07/191.93 [7037]P2(f317(f317(f227(a903),x70372),x70371))+P2(f317(f317(f226(a903),x70371),x70372))+P2(f317(x70373,f317(f90(a1),f317(f317(f3(a903),x70372),x70371))))
% 192.07/191.93 [7111]E(f317(f317(f74(a903),f317(f93(a903),x71111)),f317(f317(f74(a903),f317(f93(a903),x71112)),x71113)),f317(f317(f74(a903),f317(f93(a903),x71111)),x71113))+P2(f317(a183,f317(f93(a1),x71111)))+~P2(f317(a183,f317(f93(a1),x71112)))
% 192.07/191.93 [7190]~E(x71902,f317(f317(f31(a903),x71903),x71901))+~P2(f317(f317(f227(a903),f2(a903)),x71901))+P2(f317(f317(f226(a903),f317(f317(f75(a903),x71901),x71902)),x71903))
% 192.07/191.93 [7307]~P2(f317(f29(x73071),x73073))+~P2(f317(f29(x73071),x73072))+P2(f317(f29(x73071),f317(f317(f100(f910(x73071,a898)),x73072),x73073)))
% 192.07/191.93 [7354]~P38(x73541,x73543)+~P38(x73541,x73542)+P38(x73541,f317(f317(f91(f910(f909(x73541,x73541),a898)),x73542),x73543))
% 192.07/191.93 [7355]~P51(x73551,x73553)+~P51(x73551,x73552)+P51(x73551,f317(f317(f100(f910(f909(x73551,x73551),a898)),x73552),x73553))
% 192.07/191.93 [7356]~P51(x73561,x73563)+~P51(x73561,x73562)+P51(x73561,f317(f317(f91(f910(f909(x73561,x73561),a898)),x73562),x73563))
% 192.07/191.93 [7599]~P108(x75991)+~P2(f317(f29(x75991),x75992))+E(f129(x75991,f317(f317(f3(f910(x75991,a898)),x75992),f317(f317(f299(x75991),x75993),f178(f910(x75991,a898))))),f160(x75991,x75993,f129(x75991,x75992)))
% 192.07/191.93 [7663]P2(f317(x76631,f2(a1)))+~P2(f317(f317(f227(a903),x76632),x76633))+~P2(f317(x76631,f317(f90(a1),f317(f317(f3(a903),x76632),x76633))))
% 192.07/191.93 [7681]~P2(f317(f29(x76811),x76812))+E(f317(f30(x76811),f317(f317(f3(f910(x76811,a898)),x76812),f317(f317(f299(x76811),x76813),f178(f910(x76811,a898))))),f317(f30(x76811),x76812))+P2(f317(f317(f319(x76811),x76813),x76812))
% 192.07/191.93 [7814]~P110(x78141)+~P2(f317(f317(f227(x78141),f72(x78141)),x78142))+P2(f317(f317(f227(x78141),f72(x78141)),f317(f317(f75(x78141),x78142),f317(f317(f234(x78141),x78142),x78143))))
% 192.07/191.93 [7857]~P2(f317(f29(x78571),x78573))+E(f317(f317(f3(a903),f317(f30(x78571),x78572)),f317(f30(x78571),x78573)),f317(f30(x78571),f317(f317(f3(f910(x78571,a898)),x78572),x78573)))+~P2(f317(f317(f226(f910(x78571,a898)),x78573),x78572))
% 192.07/191.93 [7915]~P2(f317(f317(f226(a903),x79152),x79153))+~P2(f317(f317(f226(a903),x79151),f317(f317(f3(a903),x79153),x79152)))+P2(f317(f317(f226(a903),f317(f317(f74(a903),x79151),x79152)),x79153))
% 192.07/191.93 [7969]P2(f317(f29(x79691),x79692))+~P2(f317(f29(x79691),x79693))+~P2(f317(f29(x79691),f317(f317(f3(f910(x79691,a898)),x79692),x79693)))
% 192.07/191.93 [7975]~P2(f317(f29(x79751),x79752))+E(f317(f30(x79751),f317(f317(f3(f910(x79751,a898)),x79752),f317(f317(f299(x79751),x79753),f178(f910(x79751,a898))))),f317(f317(f3(a903),f317(f30(x79751),x79752)),f72(a903)))+~P2(f317(f317(f319(x79751),x79753),x79752))
% 192.07/191.93 [8051]P59(x80511,x80512)+~P59(x80511,x80513)+~P2(f317(f317(f226(f910(x80511,f910(x80511,a898))),x80512),x80513))
% 192.07/191.93 [8091]~P2(f317(f317(f226(a903),x80913),x80912))+P2(f317(f317(f226(a903),x80911),f317(f317(f3(a903),x80912),x80913)))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),x80911),x80913)),x80912))
% 192.07/191.93 [8109]P37(x81091,x81092)+~P37(x81091,x81093)+~P2(f317(f317(f226(f910(f909(x81091,x81091),a898)),x81092),x81093))
% 192.07/191.93 [8110]P57(x81101,x81102)+~P57(x81101,x81103)+~P2(f317(f317(f226(f910(f909(x81101,x81101),a898)),x81102),x81103))
% 192.07/191.93 [8111]P39(x81111,x81112)+~P39(x81111,x81113)+~P2(f317(f317(f226(f910(f909(x81111,x81111),a898)),x81112),x81113))
% 192.07/191.93 [8345]~P110(x83451)+~P2(f317(f317(f227(x83451),f72(x83451)),x83452))+P2(f317(f317(f227(x83451),f317(f317(f234(x83451),x83452),x83453)),f317(f317(f75(x83451),x83452),f317(f317(f234(x83451),x83452),x83453))))
% 192.07/191.93 [8436]~P2(f317(x84361,f2(a1)))+~P2(f317(x84361,f317(f317(f3(a1),f317(f90(a1),x84362)),f317(f90(a1),x84363))))+P2(f317(x84361,f317(f90(a1),f317(f317(f3(a903),x84362),x84363))))
% 192.07/191.93 [8451]~P2(f317(f317(f226(a903),x84513),x84512))+P2(f317(x84511,f317(f317(f3(a1),f317(f90(a1),x84512)),f317(f90(a1),x84513))))+~P2(f317(x84511,f317(f90(a1),f317(f317(f3(a903),x84512),x84513))))
% 192.07/191.93 [8471]P2(f317(f317(f227(a903),x84711),x84712))+~P2(f317(x84713,f317(f317(f3(a1),f317(f90(a1),x84711)),f317(f90(a1),x84712))))+P2(f317(x84713,f317(f90(a1),f317(f317(f3(a903),x84711),x84712))))
% 192.07/191.93 [8525]~P126(x85252)+E(x85251,f2(x85252))+P2(f317(f317(f227(x85252),f2(x85252)),f317(f317(f74(x85252),f317(f317(f75(x85252),x85253),x85253)),f317(f317(f75(x85252),x85251),x85251))))
% 192.07/191.93 [8526]~P126(x85262)+E(x85261,f2(x85262))+P2(f317(f317(f227(x85262),f2(x85262)),f317(f317(f74(x85262),f317(f317(f75(x85262),x85261),x85261)),f317(f317(f75(x85262),x85263),x85263))))
% 192.07/191.93 [8626]~P2(f317(f317(f227(a903),f2(a903)),x86261))+~P2(f317(f317(f227(a1),x86262),x86263))+P2(f317(f317(f227(a1),f317(f317(f75(a1),f317(f90(a1),x86261)),x86262)),f317(f317(f75(a1),f317(f90(a1),x86261)),x86263)))
% 192.07/191.93 [8682]E(f317(f317(f91(f910(x86821,a898)),x86822),f32(f910(x86821,a898),x86823)),f178(f910(x86821,a898)))+P2(f317(f317(f319(f910(x86821,a898)),x86822),x86823))+P2(f317(f317(f319(f910(x86821,a898)),f391(x86823,x86822,x86821)),f317(f317(f299(f910(x86821,a898)),x86822),x86823)))
% 192.07/191.93 [8683]E(f317(f317(f91(f910(x86831,a898)),x86832),f32(f910(x86831,a898),x86833)),f178(f910(x86831,a898)))+P2(f317(f317(f319(f910(x86831,a898)),x86832),x86833))+P2(f317(f317(f319(f910(x86831,a898)),f390(x86833,x86832,x86831)),f317(f317(f299(f910(x86831,a898)),x86832),x86833)))
% 192.07/191.93 [8712]E(x87121,x87122)+~E(f317(f179(f904(x87123)),x87121),f317(f179(f904(x87123)),x87122))+P2(f317(f317(f319(f909(x87123,x87123)),f591(x87123,x87121,x87122)),f317(f162(f909(x87123,x87123)),f317(f317(f171(x87123,x87123),x87122),x87121))))
% 192.07/191.93 [8962]E(f297(x89621,x89622),f297(x89621,x89623))+~P2(f317(f317(f226(f910(f909(x89621,x89621),a898)),x89623),f297(x89621,x89622)))+~P2(f317(f317(f226(f910(f909(x89621,x89621),a898)),x89622),x89623))
% 192.07/191.93 [9029]~P52(x90291,f232(f910(x90291,a898)),x90293)+P2(f317(f317(f226(f910(f909(f904(x90291),f904(x90291)),a898)),f147(x90291,x90292)),f148(x90291,x90293)))+~P2(f317(f317(f226(f910(f909(x90291,x90291),a898)),x90292),x90293))
% 192.07/191.93 [9224]P37(x92241,x92242)+~P2(f317(f317(f319(x92241),x92243),f736(x92242,x92241)))+P2(f317(f317(f319(f909(x92241,x92241)),f317(f317(f242(x92241,x92241),f738(x92242,x92241,x92243)),x92243)),x92242))
% 192.07/191.93 [9259]~P2(f317(f29(x92591),x92592))+P2(f317(f29(f910(x92591,a898)),f317(f317(f56(x92591),x92592),x92593)))+~P2(f317(f317(f226(f910(f909(x92591,x92591),a898)),x92593),f317(f317(f244(x92591,x92591),x92592),f317(f18(f910(x92591,a898),x92591),x92592))))
% 192.07/191.93 [9295]P52(x92951,x92952,x92953)+P2(f317(f317(f319(x92951),f571(x92953,x92952,x92951)),x92952))+~P2(f317(f317(f226(f910(f909(x92951,x92951),a898)),x92953),f317(f317(f244(x92951,x92951),x92952),f317(f18(f910(x92951,a898),x92951),x92952))))
% 192.07/191.93 [9296]P52(x92961,x92962,x92963)+P2(f317(f317(f319(x92961),f579(x92962,x92963,x92961)),x92962))+~P2(f317(f317(f226(f910(f909(x92961,x92961),a898)),x92963),f317(f317(f244(x92961,x92961),x92962),f317(f18(f910(x92961,a898),x92961),x92962))))
% 192.07/191.93 [9331]~P64(x93311)+~P2(f317(f317(f227(x93311),x93312),x93313))+P2(f317(f317(f227(x93311),f317(f317(f281(x93311),f317(f317(f74(x93311),x93312),x93313)),f317(f317(f74(x93311),f72(x93311)),f72(x93311)))),x93313))
% 192.07/191.93 [9362]~P63(x93621)+P2(f317(f317(f226(x93621),x93622),x93623))+~P2(f317(f317(f226(x93621),f317(f317(f75(x93621),f848(x93623,x93622,x93621)),x93622)),x93623))
% 192.07/191.93 [9500]E(f317(f179(f904(f904(x95001))),f317(f126(f904(x95001),f317(f317(f10(a903,a898,f904(x95001)),f317(f227(a903),x95002)),f179(f904(x95001)))),f169(x95001,x95003))),f317(f179(f904(x95001)),f317(f317(f154(f904(x95001)),x95003),x95002)))+~P14(a903,f317(f158(a903),f317(f317(f144(f904(x95001),a903),f179(f904(x95001))),x95003)))+~P2(f317(f317(f227(a903),x95002),f317(f179(f904(f904(x95001))),x95003)))
% 192.07/191.93 [9623]~P37(x96231,x96232)+P27(x96231,f317(f317(f242(f910(f909(x96231,x96231),a898),f910(f909(x96231,x96231),a898)),x96232),x96233))+~P2(f317(f317(f226(f910(f909(x96231,x96231),a898)),f317(f317(f279(x96231,x96231,x96231),x96232),x96233)),x96232))
% 192.07/191.93 [9628]E(f317(f317(f144(f904(x96281),x96281),f317(f317(f9(f904(x96281),a903,x96281),f154(x96281)),x96282)),f317(f126(f904(x96281),f317(f317(f10(a903,a898,f904(x96281)),f317(f227(a903),x96282)),f179(f904(x96281)))),f169(x96281,x96283))),f317(f317(f154(f904(x96281)),x96283),x96282))+~P14(a903,f317(f158(a903),f317(f317(f144(f904(x96281),a903),f179(f904(x96281))),x96283)))+~P2(f317(f317(f227(a903),x96282),f317(f179(f904(f904(x96281))),x96283)))
% 192.07/191.93 [9764]P52(x97641,x97642,x97643)+~P2(f317(f317(f319(f909(x97641,x97641)),f317(f317(f242(x97641,x97641),f571(x97643,x97642,x97641)),f571(x97643,x97642,x97641))),x97643))+~P2(f317(f317(f226(f910(f909(x97641,x97641),a898)),x97643),f317(f317(f244(x97641,x97641),x97642),f317(f18(f910(x97641,a898),x97641),x97642))))
% 192.07/191.93 [9765]P52(x97651,x97652,x97653)+~P2(f317(f317(f319(f909(x97651,x97651)),f317(f317(f242(x97651,x97651),f579(x97652,x97653,x97651)),f579(x97652,x97653,x97651))),x97653))+~P2(f317(f317(f226(f910(f909(x97651,x97651),a898)),x97653),f317(f317(f244(x97651,x97651),x97652),f317(f18(f910(x97651,a898),x97651),x97652))))
% 192.07/191.93 [9935]~P141(x99351)+~P124(x99351)+E(f317(f317(f281(x99351),f317(f92(x99351),f317(f317(f67(f909(a1,a1),a1,x99352,f241(a1,a1)),f202(x99352)),x99353))),f317(f92(x99351),f317(f317(f67(f909(a1,a1),a1,x99352,f246(a1,a1)),f202(x99352)),x99353))),f212(x99352,x99351,x99353))
% 192.07/191.93 [10139]~E(x101393,f2(a903))+~E(f317(f179(f904(x101391)),f317(f317(f154(f904(x101391)),x101392),f632(x101393,x101391,x101392))),x101393)+E(f317(f317(f144(a903,f904(x101391)),f317(f317(f9(a903,f904(a903),f904(x101391)),f317(f317(f10(f910(a903,x101391),f910(f904(a903),f904(x101391)),a903),f144(a903,x101391)),f317(f9(a903,a903,x101391),f317(f317(f10(f904(x101391),f910(a903,x101391),a903),f154(x101391)),f317(f154(f904(x101391)),x101392))))),f129(a903,f317(f292(a903,f2(a903)),f317(f179(f904(f904(x101391))),x101392))))),f129(a903,f317(f292(a903,f2(a903)),x101393))),f169(x101391,x101392))
% 192.07/191.93 [10140]E(x101401,f103(f904(x101402)))+~E(f317(f179(f904(x101402)),f317(f317(f154(f904(x101402)),x101401),f632(x101403,x101402,x101401))),x101403)+E(f317(f317(f144(a903,f904(x101402)),f317(f317(f9(a903,f904(a903),f904(x101402)),f317(f317(f10(f910(a903,x101402),f910(f904(a903),f904(x101402)),a903),f144(a903,x101402)),f317(f9(a903,a903,x101402),f317(f317(f10(f904(x101402),f910(a903,x101402),a903),f154(x101402)),f317(f154(f904(x101402)),x101401))))),f129(a903,f317(f292(a903,f2(a903)),f317(f179(f904(f904(x101402))),x101401))))),f129(a903,f317(f292(a903,f2(a903)),x101403))),f169(x101402,x101401))
% 192.07/191.93 [10141]~E(x101413,f2(a903))+E(f317(f317(f144(a903,f904(x101411)),f317(f317(f9(a903,f904(a903),f904(x101411)),f317(f317(f10(f910(a903,x101411),f910(f904(a903),f904(x101411)),a903),f144(a903,x101411)),f317(f9(a903,a903,x101411),f317(f317(f10(f904(x101411),f910(a903,x101411),a903),f154(x101411)),f317(f154(f904(x101411)),x101412))))),f129(a903,f317(f292(a903,f2(a903)),f317(f179(f904(f904(x101411))),x101412))))),f129(a903,f317(f292(a903,f2(a903)),x101413))),f169(x101411,x101412))+P2(f317(f317(f227(a903),f632(x101413,x101411,x101412)),f317(f179(f904(f904(x101411))),x101412)))
% 192.07/191.93 [10142]E(x101421,f103(f904(x101422)))+E(f317(f317(f144(a903,f904(x101422)),f317(f317(f9(a903,f904(a903),f904(x101422)),f317(f317(f10(f910(a903,x101422),f910(f904(a903),f904(x101422)),a903),f144(a903,x101422)),f317(f9(a903,a903,x101422),f317(f317(f10(f904(x101422),f910(a903,x101422),a903),f154(x101422)),f317(f154(f904(x101422)),x101421))))),f129(a903,f317(f292(a903,f2(a903)),f317(f179(f904(f904(x101422))),x101421))))),f129(a903,f317(f292(a903,f2(a903)),x101423))),f169(x101422,x101421))+P2(f317(f317(f227(a903),f632(x101423,x101422,x101421)),f317(f179(f904(f904(x101422))),x101421)))
% 192.07/191.93 [7854]E(f317(f317(f74(a903),f317(f93(a903),x78541)),f317(f317(f74(a903),f317(f93(a903),x78542)),x78543)),f317(f317(f74(a903),f317(f93(a903),f317(f317(f74(a1),x78541),x78542))),x78543))+P2(f317(a183,f317(f93(a1),x78541)))+P2(f317(a183,f317(f93(a1),x78542)))
% 192.07/191.93 [8618]~P2(f317(f29(x86181),x86182))+~P2(f317(f317(f319(x86181),x86183),x86182))+E(f317(a102,f317(f30(x86181),f317(f317(f3(f910(x86181,a898)),x86182),f317(f317(f299(x86181),x86183),f178(f910(x86181,a898)))))),f317(f30(x86181),x86182))
% 192.07/191.93 [8634]~P2(f317(f29(x86341),x86342))+~P2(f317(f317(f319(x86341),x86343),x86342))+E(f317(f317(f74(a903),f72(a903)),f317(f30(x86341),f317(f317(f3(f910(x86341,a898)),x86342),f317(f317(f299(x86341),x86343),f178(f910(x86341,a898)))))),f317(f30(x86341),x86342))
% 192.07/191.93 [8721]~P108(x87211)+~P2(f317(f29(x87211),x87213))+E(f317(f317(f138(x87211,x87211,f7(x87211)),x87212),f129(x87211,f317(f317(f3(f910(x87211,a898)),x87213),f317(f317(f299(x87211),x87212),f178(f910(x87211,a898)))))),f129(x87211,f317(f317(f299(x87211),x87212),x87213)))
% 192.07/191.93 [8887]~P2(f317(f29(x88871),x88873))+~P2(f317(f29(x88871),x88872))+E(f317(f317(f74(a903),f317(f30(x88871),f317(f317(f100(f910(x88871,a898)),x88872),x88873))),f317(f30(x88871),f317(f317(f91(f910(x88871,a898)),x88872),x88873))),f317(f317(f74(a903),f317(f30(x88871),x88872)),f317(f30(x88871),x88873)))
% 192.07/191.93 [10088]~P25(x100881,f910(f910(x100881,a898),a898),f317(f317(f9(x100881,f910(f909(x100881,x100881),a898),f910(f910(x100881,a898),a898)),f317(f317(f10(f910(x100881,a898),f910(f910(f909(x100881,x100881),a898),f910(f910(x100881,a898),a898)),x100881),f56(x100881)),f317(f317(f9(x100881,f910(x100881,a898),f910(x100881,a898)),f299(x100881)),f178(f910(x100881,a898))))),x100883),x100882)+~P2(f317(f29(x100881),x100882))+E(f317(f30(f910(x100881,a898)),f317(f317(f56(x100881),x100882),x100883)),f317(f30(x100881),x100882))
% 192.07/191.93 [8123]~P93(x81231)+P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x81233)))+E(f317(f317(f234(x81231),x81232),f317(f93(a903),f317(f317(f3(a1),f317(f317(f74(a1),x81233),x81233)),a87))),f72(x81231))
% 192.07/191.93 [9605]~P93(x96051)+~P2(f317(f317(f226(a1),f2(a1)),f317(f93(a1),x96053)))+E(f317(f317(f234(x96051),x96052),f317(f93(a903),f317(f317(f3(a1),f317(f317(f74(a1),x96053),x96053)),a87))),f317(f317(f80(x96051,x96051),f317(f317(f234(x96051),x96052),f317(f93(a903),x96053))),f317(f317(f20(x96051,x96051,x96051),f317(f317(f10(x96051,f910(x96051,x96051),x96051),f75(x96051)),f317(f75(x96051),x96052))),f7(x96051))))
% 192.07/191.93 [9997]~P2(f317(f127(x99971),x99973))+~P2(f317(f317(f319(x99971),x99972),f317(f162(x99971),x99973)))+E(f317(f317(f128(x99971),f317(f179(f904(x99971)),f167(x99971,f317(f317(f10(a898,a898,x99971),a312),f317(f317(f9(x99971,x99971,a898),a314),x99972)),f317(f158(x99971),x99973)))),f317(f158(x99971),x99973)),f317(f317(f141(x99971),x99972),f317(f158(x99971),f167(x99971,f317(f317(f10(a898,a898,x99971),a312),f317(f317(f9(x99971,x99971,a898),a314),x99972)),x99973))))
% 192.07/191.93 [10057]P2(f317(f317(f226(f910(f909(x100571,x100571),a898)),f297(x100571,x100572)),x100573))+~P2(f317(f317(f226(f910(f909(x100571,x100571),a898)),f297(x100571,f178(f910(f909(x100571,x100571),a898)))),x100573))+~P2(f317(f317(f226(f910(f909(x100571,x100571),a898)),f317(f317(f279(x100571,x100571,x100571),f317(f317(f91(f910(f909(x100571,x100571),a898)),f297(x100571,x100572)),x100573)),x100572)),x100573))
% 192.07/191.93 [9915]~P2(f317(f29(x99151),f317(f252(x99151),x99153)))+~P2(f317(f29(x99151),f317(f252(x99151),x99152)))+P2(f317(f29(x99151),f317(f252(x99151),f317(f317(f20(x99151,a898,a898),f317(f317(f10(a898,f910(a898,a898),x99151),a316),x99152)),x99153))))
% 192.07/191.93 [10203]P2(f317(f317(f226(f910(f909(x102031,x102031),a898)),f317(f317(f279(x102031,x102031,x102031),x102032),f297(x102031,x102032))),x102033))+~P2(f317(f317(f226(f910(f909(x102031,x102031),a898)),x102032),x102033))+~P2(f317(f317(f226(f910(f909(x102031,x102031),a898)),f317(f317(f279(x102031,x102031,x102031),f317(f317(f91(f910(f909(x102031,x102031),a898)),f317(f317(f279(x102031,x102031,x102031),x102032),f297(x102031,x102032))),x102033)),x102032)),x102033))
% 192.07/191.93 [10155]~P117(x101552)+E(x101551,f2(x101552))+~E(f317(f317(f74(x101552),f317(f317(f234(x101552),x101553),f317(f93(a903),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(x101552),x101551),f317(f93(a903),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(x101552))
% 192.07/191.93 [10156]~P117(x101562)+E(x101561,f2(x101562))+~E(f317(f317(f74(x101562),f317(f317(f234(x101562),x101561),f317(f93(a903),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(x101562),x101563),f317(f93(a903),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(x101562))
% 192.07/191.93 [10161]~P2(f317(f127(x101611),x101613))+~P2(f317(f317(f319(x101611),x101612),f317(f162(x101611),x101613)))+E(f317(f158(x101611),f317(f161(x101611),f317(f317(f128(x101611),f317(f179(f904(x101611)),f167(x101611,f317(f317(f10(a898,a898,x101611),a312),f317(f317(f9(x101611,x101611,a898),a314),x101612)),x101613))),x101613))),f167(x101611,f317(f317(f10(a898,a898,x101611),a312),f317(f317(f9(x101611,x101611,a898),a314),x101612)),f317(f158(x101611),x101613)))
% 192.07/191.93 [10248]~P117(x102482)+E(x102481,f2(x102482))+P2(f317(f317(f227(x102482),f2(x102482)),f317(f317(f74(x102482),f317(f317(f234(x102482),x102483),f317(f93(a903),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(x102482),x102481),f317(f93(a903),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)))))))
% 192.07/191.93 [10249]~P117(x102492)+E(x102491,f2(x102492))+P2(f317(f317(f227(x102492),f2(x102492)),f317(f317(f74(x102492),f317(f317(f234(x102492),x102491),f317(f93(a903),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(x102492),x102493),f317(f93(a903),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)))))))
% 192.07/191.93 [10310]~P117(x103101)+P2(f317(f317(f226(x103101),f2(x103101)),x103102))+~P2(f317(f317(f226(x103101),f2(x103101)),f317(f317(f234(x103101),x103102),f317(a102,f317(f317(f75(a903),f317(f93(a903),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)))),x103103)))))
% 192.07/191.93 [5034]~E(x50342,f84(x50343,x50341))+P2(f317(x50341,x50342))+~P2(f317(x50341,x50344))
% 192.07/191.93 [5280]E(f63(x52803,x52802,x52804),x52802)+E(x52801,f680(x52802,x52803,x52804))+~P2(f317(x52804,x52801))
% 192.07/191.93 [6626]E(f63(x66261,x66262,x66263),f79(x66261,x66263))+~E(f760(x66262,x66261,x66263,x66264),x66264)+~P2(f317(x66263,x66264))
% 192.07/191.93 [6841]~P37(x68412,x68414)+~P37(x68411,x68413)+P37(f909(x68411,x68412),f310(x68411,x68412,x68413,x68414))
% 192.07/191.93 [6842]~P38(x68422,x68424)+~P38(x68421,x68423)+P38(f909(x68421,x68422),f310(x68421,x68422,x68423,x68424))
% 192.07/191.93 [5220]~P8(x52204,x52201)+~E(f317(x52201,x52202),f317(x52201,x52203))+P2(f317(f317(x52201,x52202),x52203))
% 192.07/191.93 [5379]~P8(x53794,x53791)+E(f317(x53791,x53792),f317(x53791,x53793))+~P2(f317(f317(x53791,x53792),x53793))
% 192.07/191.93 [5380]~P16(x53804,x53801)+E(f317(x53801,x53802),f317(x53801,x53803))+~P2(f317(f317(x53801,x53802),x53803))
% 192.07/191.93 [5476]~P19(x54763,x54764,x54761)+E(f317(x54761,x54762),f317(f58(x54763,x54764),x54762))+~P2(f317(f29(x54763),x54762))
% 192.07/191.93 [5477]~P10(x54773,x54774,x54771)+E(f317(x54771,x54772),f317(f58(x54773,x54774),x54772))+~P2(f317(f29(x54773),x54772))
% 192.07/191.93 [5605]~P8(x56054,x56051)+~P2(f317(f317(x56051,x56053),x56052))+P2(f317(f317(x56051,x56052),x56053))
% 192.07/191.93 [5606]~P50(x56064,x56061)+~P2(f317(f317(x56061,x56063),x56062))+P2(f317(f317(x56061,x56062),x56063))
% 192.07/191.93 [5607]~P16(x56074,x56071)+~P2(f317(f317(x56071,x56073),x56072))+P2(f317(f317(x56071,x56072),x56073))
% 192.07/191.93 [5608]~P16(x56083,x56081)+P2(f317(f317(x56081,x56082),x56082))+~P2(f317(f317(x56081,x56084),x56082))
% 192.07/191.93 [5609]~P16(x56093,x56091)+P2(f317(f317(x56091,x56092),x56092))+~P2(f317(f317(x56091,x56092),x56094))
% 192.07/191.93 [5679]E(x56791,x56792)+~E(f317(f241(x56793,x56794),x56791),f317(f241(x56793,x56794),x56792))+~E(f317(f246(x56793,x56794),x56791),f317(f246(x56793,x56794),x56792))
% 192.07/191.93 [5707]E(x57071,x57072)+~P2(f317(f44(x57073,x57074),x57072))+~P2(f317(f44(x57073,x57074),x57071))
% 192.07/191.93 [5907]~P75(x59072)+E(f221(x59071,x59072,x59073,x59074),f2(x59072))+P2(f317(f29(x59071),x59074))
% 192.07/191.93 [5955]~P8(x59553,x59552)+~P2(f317(x59551,x59554))+P2(f317(x59551,f805(x59551,x59552,x59553)))
% 192.07/191.93 [6053]~P2(f317(f305(x60531,x60532),x60534))+P2(f317(f305(x60531,x60532),x60533))+~P2(f317(f317(x60532,x60533),x60534))
% 192.07/191.93 [6878]~P29(x68781,x68783,x68784)+P2(f317(x68781,x68782))+~P2(f317(f317(f319(a1),x68782),f293(a1,x68783,x68784)))
% 192.07/191.93 [7073]~P8(x70731,x70733)+~P2(f317(x70732,x70734))+P2(f317(f317(f319(x70731),f805(x70732,x70733,x70731)),f260(x70731,x70733)))
% 192.07/191.93 [7964]E(x79641,f2(a903))+~P2(f317(x79642,x79643))+P2(f317(x79642,f753(x79642,x79643,x79641,x79644)))
% 192.07/191.93 [8046]~P108(x80462)+~P2(f317(f127(x80461),x80464))+P2(f317(f127(x80461),f140(x80461,x80462,x80463,x80464)))
% 192.07/191.93 [8090]E(f63(x80901,x80902,x80903),f79(x80901,x80903))+~P2(f317(x80903,x80904))+P2(f317(x80903,f760(x80902,x80901,x80903,x80904)))
% 192.07/191.93 [8272]~P2(f317(f29(x82722),x82724))+~P2(f317(f29(x82721),x82723))+P2(f317(f29(f908(x82721,x82722)),f303(x82721,x82722,x82723,x82724)))
% 192.07/191.93 [8273]~P2(f317(f127(x82732),x82734))+~P2(f317(f127(x82731),x82733))+P2(f317(f127(f909(x82731,x82732)),f55(x82731,x82732,x82733,x82734)))
% 192.07/191.93 [8276]P2(f317(f317(f319(f904(x82761)),f317(f317(f124(x82761),x82762),x82763)),f151(x82761,x82764)))+~P2(f317(f317(f319(f904(x82761)),x82763),f151(x82761,x82764)))+~P2(f317(f317(f319(f904(x82761)),x82762),f151(x82761,x82764)))
% 192.07/191.93 [8556]E(x85561,f2(a903))+P2(f317(x85562,x85563))+~P2(f317(x85562,f756(x85562,x85563,x85561,x85564)))
% 192.07/191.93 [8593]~P108(x85933)+~P2(f317(f127(x85931),f140(x85931,x85933,x85934,x85932)))+P2(f317(f127(x85931),x85932))
% 192.07/191.93 [8876]~P2(f317(f317(f319(f909(x88761,x88761)),f317(f317(f242(x88761,x88761),x88762),x88764)),f297(x88761,x88763)))+P2(f317(f317(f319(x88761),x88762),f306(x88761,x88763)))+~P2(f317(f317(f319(x88761),x88764),f306(x88761,x88763)))
% 192.07/191.93 [5204]~P71(x52042)+E(f317(f317(f11(x52041,x52042),x52043),x52044),f72(x52042))+P2(f317(f29(x52041),x52044))
% 192.07/191.93 [5207]~P75(x52072)+E(f317(f317(f8(x52071,x52072),x52073),x52074),f2(x52072))+P2(f317(f29(x52071),x52074))
% 192.07/191.93 [5342]~P72(x53423)+E(x53421,x53422)+~E(f317(f317(f74(x53423),x53424),x53421),f317(f317(f74(x53423),x53424),x53422))
% 192.07/191.93 [5343]~P73(x53433)+E(x53431,x53432)+~E(f317(f317(f74(x53433),x53434),x53431),f317(f317(f74(x53433),x53434),x53432))
% 192.07/191.93 [5345]~P72(x53453)+E(x53451,x53452)+~E(f317(f317(f74(x53453),x53451),x53454),f317(f317(f74(x53453),x53452),x53454))
% 192.07/191.93 [5429]~E(x54292,f317(f317(f299(x54291),x54293),x54294))+~P2(f317(f29(x54291),x54294))+P2(f317(f29(x54291),x54292))
% 192.07/191.93 [5443]~P121(x54431)+~E(x54433,f317(f317(f75(x54431),x54432),x54434))+P2(f317(f317(f277(x54431),x54432),x54433))
% 192.07/191.93 [5471]~P6(x54713)+E(x54711,f178(f910(x54712,a898)))+E(f317(f317(f35(x54712,x54713),x54711),f317(f18(x54713,x54712),x54714)),x54714)
% 192.07/191.93 [5472]~P6(x54723)+E(x54721,f178(f910(x54722,a898)))+E(f317(f317(f36(x54722,x54723),x54721),f317(f18(x54723,x54722),x54724)),x54724)
% 192.07/191.93 [5693]~P109(x56933)+E(x56931,x56932)+~E(f293(x56933,x56934,x56931),f317(f317(f299(x56933),x56932),f178(f910(x56933,a898))))
% 192.07/191.93 [5694]~P109(x56943)+E(x56941,x56942)+~E(f293(x56943,x56941,x56942),f317(f317(f299(x56943),x56944),f178(f910(x56943,a898))))
% 192.07/191.93 [5754]~P35(x57543,x57541,x57544)+P35(x57543,x57541,f317(f317(f141(x57543),x57542),x57544))+P2(f317(x57541,x57542))
% 192.07/191.93 [5856]~P31(x58561,x58562,x58564)+~P2(f317(x58562,x58563))+P31(x58561,x58562,f317(f317(f141(x58561),x58563),x58564))
% 192.07/191.93 [6008]P2(f317(x60081,x60082))+~P2(f317(f238(x60083,x60081),x60084))+~P2(f317(f317(f319(x60083),x60082),x60084))
% 192.07/191.93 [6017]~P31(x60171,x60172,x60174)+~P31(x60171,x60172,x60173)+P31(x60171,x60172,f317(f317(f124(x60171),x60173),x60174))
% 192.07/191.93 [6032]P33(x60321,x60322,x60323)+~P33(x60321,x60322,f317(f317(f141(x60321),x60324),x60323))+P2(f317(x60322,x60324))
% 192.07/191.93 [6033]P35(x60331,x60332,x60333)+~P35(x60331,x60332,f317(f317(f141(x60331),x60334),x60333))+P2(f317(x60332,x60334))
% 192.07/191.93 [6108]P33(x61081,x61082,x61083)+P33(x61081,x61082,x61084)+~P33(x61081,x61082,f317(f317(f124(x61081),x61084),x61083))
% 192.07/191.93 [6129]~P75(x61291)+E(f317(f317(f8(a903,x61291),x61292),f317(f292(a903,x61293),f317(a102,x61294))),f2(x61291))+~P2(f317(f317(f227(a903),x61294),x61293))
% 192.07/191.93 [6134]~P5(x61341)+~E(f41(x61341,x61342,x61343),f41(x61341,x61344,x61343))+E(f41(x61341,f317(f73(x61341),x61342),x61343),f41(x61341,f317(f73(x61341),x61344),x61343))
% 192.07/191.93 [6202]P2(f317(x62021,x62022))+~E(f317(f126(x62023,x62021),x62024),x62024)+~P2(f317(f317(f319(x62023),x62022),f317(f162(x62023),x62024)))
% 192.07/191.93 [6222]~E(f317(f317(f74(a903),x62223),x62222),f317(f317(f74(a903),x62221),x62224))+~P2(f317(f317(f227(a903),x62223),x62224))+P2(f317(f317(f227(a903),x62221),x62222))
% 192.07/191.93 [6228]P33(x62281,x62282,x62283)+~P2(f317(x62282,x62284))+~P2(f317(f317(f319(x62281),x62284),f317(f162(x62281),x62283)))
% 192.07/191.93 [6231]~P4(x62311)+E(f41(x62311,f41(x62311,x62312,x62313),x62314),f41(x62311,x62312,x62314))+~P2(f317(f317(f277(x62311),x62314),x62313))
% 192.07/191.93 [6271]~P31(x62713,x62711,x62714)+P2(f317(x62711,x62712))+~P2(f317(f317(f319(x62713),x62712),f317(f162(x62713),x62714)))
% 192.07/191.93 [6273]~E(f317(f126(x62731,x62732),x62733),f103(x62731))+~P2(f317(x62732,x62734))+~P2(f317(f317(f319(x62731),x62734),f317(f162(x62731),x62733)))
% 192.07/191.93 [6274]~E(f167(x62743,x62741,x62744),x62744)+P2(f317(x62741,x62742))+~P2(f317(f317(f319(x62743),x62742),f317(f162(x62743),x62744)))
% 192.07/191.93 [6301]~E(x63014,f178(f910(x63012,a898)))+~E(x63013,f178(f910(x63011,a898)))+E(f303(x63011,x63012,x63013,x63014),f178(f910(f908(x63011,x63012),a898)))
% 192.07/191.93 [6453]P2(f317(x64531,x64532))+~P2(f317(f150(x64533,x64531),x64534))+~P2(f317(f317(f319(x64533),x64532),f317(f162(x64533),x64534)))
% 192.07/191.93 [6595]~P30(x65951,x65953,x65954)+P2(f317(x65951,x65952))+~P2(f317(f317(f319(a903),x65952),f317(f292(a903,x65953),x65954)))
% 192.07/191.93 [6734]~P75(x67341)+E(f317(f317(f8(a903,x67341),x67342),f293(a903,x67343,f317(a102,x67344))),f2(x67341))+~P2(f317(f317(f227(a903),f317(a102,x67344)),x67343))
% 192.07/191.93 [6881]~P108(x68811)+E(f317(f317(f3(f910(x68811,a898)),f317(f292(x68811,x68812),x68813)),f317(f292(x68811,x68812),x68814)),f317(f292(x68811,x68814),x68813))+~P2(f317(f317(f226(x68811),x68812),x68814))
% 192.07/191.93 [6952]~E(x69523,x69524)+E(x69521,f2(a903))+P2(f317(f317(f319(x69522),x69523),f317(f162(x69522),f159(x69522,x69521,x69524))))
% 192.07/191.93 [7236]~P2(f317(f317(f319(f904(x72361)),x72364),f151(x72361,x72363)))+P2(f317(f317(f319(x72361),x72362),x72363))+~P2(f317(f317(f319(x72361),x72362),f317(f162(x72361),x72364)))
% 192.07/191.93 [7243]~P37(x72431,x72432)+P2(f317(f317(f319(x72431),f725(x72432,x72431,x72433)),x72433))+~P2(f317(f317(f319(x72431),x72434),x72433))
% 192.07/191.93 [7300]~P71(x73001)+E(f317(f317(f317(f60(x73001,x73002,f75(x73001)),x73003),f72(x73001)),x73004),f317(f317(f11(x73002,x73001),x73003),x73004))+~P2(f317(f29(x73002),x73004))
% 192.07/191.93 [7302]~P75(x73021)+E(f317(f317(f317(f60(x73021,x73022,f74(x73021)),x73023),f2(x73021)),x73024),f317(f317(f8(x73022,x73021),x73023),x73024))+~P2(f317(f29(x73022),x73024))
% 192.07/191.93 [7329]P25(x73291,x73292,x73293,x73294)+~E(f317(f30(x73292),f317(f300(x73291,x73292,x73293),x73294)),f317(f30(x73291),x73294))+~P2(f317(f29(x73291),x73294))
% 192.07/191.93 [7523]~P75(x75231)+E(f317(f317(f74(x75231),f317(x75232,x75233)),f317(f317(f8(a903,x75231),x75232),f295(a903,x75233,x75234))),f317(f317(f8(a903,x75231),x75232),f293(a903,x75233,x75234)))+~P2(f317(f317(f226(a903),x75233),x75234))
% 192.07/191.93 [7532]~P71(x75321)+~P25(x75322,x75321,x75323,x75324)+E(f317(f317(f11(x75321,x75321),f25(x75321)),f317(f300(x75322,x75321,x75323),x75324)),f317(f317(f11(x75322,x75321),x75323),x75324))
% 192.07/191.93 [7533]~P75(x75331)+~P25(x75332,x75331,x75333,x75334)+E(f317(f317(f8(x75331,x75331),f25(x75331)),f317(f300(x75332,x75331,x75333),x75334)),f317(f317(f8(x75332,x75331),x75333),x75334))
% 192.07/191.93 [7581]E(f317(f30(f908(x75811,x75812)),f303(x75811,x75812,x75813,x75814)),f317(f317(f74(a903),f317(f30(x75811),x75813)),f317(f30(x75812),x75814)))+~P2(f317(f29(x75812),x75814))+~P2(f317(f29(x75811),x75813))
% 192.07/191.93 [7664]E(x76641,x76642)+P2(f317(f317(f319(x76643),x76641),f317(f162(x76643),f160(x76643,x76642,x76644))))+~P2(f317(f317(f319(x76643),x76641),f317(f162(x76643),x76644)))
% 192.07/191.93 [7894]~P75(x78941)+E(f317(f317(f74(x78941),f317(f317(f8(a903,x78941),x78942),f317(f292(a903,x78943),x78944))),f317(x78942,x78944)),f317(f317(f8(a903,x78941),x78942),f317(f292(a903,x78943),f317(a102,x78944))))+P2(f317(f317(f227(a903),x78944),x78943))
% 192.07/191.93 [7944]~P25(x79441,x79442,x79443,f232(f910(x79441,a898)))+~P2(f317(f29(x79442),x79444))+P2(f317(f29(x79441),f317(f301(x79441,x79442,x79443),x79444)))
% 192.07/191.93 [8061]P2(f317(f317(f319(f904(x80611)),f317(f317(f141(x80611),x80612),x80613)),f151(x80611,x80614)))+~P2(f317(f317(f319(f904(x80611)),x80613),f151(x80611,x80614)))+~P2(f317(f317(f319(x80611),x80612),x80614))
% 192.07/191.93 [8147]~E(f317(f300(x81473,x81471,x81474),f232(f910(x81473,a898))),f232(f910(x81471,a898)))+P2(f317(f29(x81471),x81472))+~P2(f317(f29(x81473),f317(f301(x81473,x81471,x81474),x81472)))
% 192.07/191.93 [8242]~P25(x82421,x82423,x82424,x82422)+P2(f317(f29(x82421),x82422))+~P2(f317(f29(x82423),f317(f300(x82421,x82423,x82424),x82422)))
% 192.07/191.93 [8266]~E(x82662,x82663)+P2(f317(f317(f319(f909(x82661,x82661)),f317(f317(f242(x82661,x82661),x82662),x82663)),f253(x82661,x82664)))+~P2(f317(f317(f319(x82661),x82662),x82664))
% 192.07/191.93 [8299]~P75(x82991)+E(f317(f317(f74(x82991),f317(f317(f8(a903,x82991),x82992),f293(a903,x82993,x82994))),f317(x82992,f317(a102,x82994))),f317(f317(f8(a903,x82991),x82992),f293(a903,x82993,f317(a102,x82994))))+P2(f317(f317(f227(a903),f317(a102,x82994)),x82993))
% 192.07/191.93 [8359]P2(f317(x83591,x83592))+~P2(f317(x83591,f317(f317(f154(x83593),x83594),f585(x83591,x83594,x83593))))+~P2(f317(f317(f319(x83593),x83592),f317(f162(x83593),x83594)))
% 192.07/191.93 [8500]~P2(f317(f317(f319(x85001),x85002),f306(x85001,x85004)))+P2(f317(f317(f319(f904(x85001)),f317(f317(f141(x85001),x85002),x85003)),f306(f904(x85001),f147(x85001,x85004))))+~P2(f317(f317(f319(f904(x85001)),x85003),f306(f904(x85001),f147(x85001,x85004))))
% 192.07/191.93 [8515]~P25(x85152,x85153,x85154,f416(x85154,x85153,x85152,x85151))+P25(x85152,x85153,x85154,f33(f910(x85152,a898),x85151))+E(x85151,f178(f910(f910(x85152,a898),a898)))
% 192.07/191.93 [8785]E(x87851,x87852)+~P2(f317(f317(f319(f909(x87853,x87853)),f317(f317(f242(x87853,x87853),x87851),x87852)),f297(x87853,x87854)))+P2(f317(f317(f319(x87853),x87851),f317(f254(x87853,x87853),x87854)))
% 192.07/191.93 [9063]E(x90631,f2(a903))+P2(f317(x90632,x90633))+P2(f317(f317(f319(x90634),f756(x90632,x90633,x90631,x90634)),f317(f162(x90634),f159(x90634,x90631,x90633))))
% 192.07/191.93 [9075]E(x90751,f2(a903))+~P2(f317(x90753,x90754))+P2(f317(f317(f319(x90752),f753(x90753,x90754,x90751,x90752)),f317(f162(x90752),f159(x90752,x90751,x90754))))
% 192.07/191.93 [9077]~P26(x90771,x90772,x90773,f232(f910(x90771,a898)),f232(f910(x90772,a898)))+~P2(f317(f29(x90772),x90774))+P2(f317(f29(x90771),f317(f301(x90771,x90772,x90773),x90774)))
% 192.07/191.93 [9080]P25(x90802,x90803,x90804,f33(f910(x90802,a898),x90801))+E(x90801,f178(f910(f910(x90802,a898),a898)))+P2(f317(f317(f319(f910(x90802,a898)),f416(x90804,x90803,x90802,x90801)),x90801))
% 192.07/191.93 [9195]~P26(x91953,x91951,x91954,f232(f910(x91953,a898)),f232(f910(x91951,a898)))+P2(f317(f29(x91951),x91952))+~P2(f317(f29(x91953),f317(f301(x91953,x91951,x91954),x91952)))
% 192.07/191.93 [9212]P2(f317(f29(x92121),x92122))+~P2(f317(f29(x92124),f317(f300(x92121,x92124,x92123),x92122)))+P2(f317(f317(f319(x92121),f658(x92123,x92124,x92122,x92121)),x92122))
% 192.07/191.93 [9307]~P6(x93072)+E(f317(f317(f59(x93071,x93072,f317(f317(f10(x93072,f910(x93072,x93072),x93071),f91(x93072)),x93073)),f232(x93072)),x93074),f317(f317(f35(x93071,x93072),x93074),x93073))+~P2(f317(f29(x93071),x93074))
% 192.07/191.93 [9308]~P6(x93082)+E(f317(f317(f59(x93081,x93082,f317(f317(f10(x93082,f910(x93082,x93082),x93081),f100(x93082)),x93083)),f178(x93082)),x93084),f317(f317(f36(x93081,x93082),x93084),x93083))+~P2(f317(f29(x93081),x93084))
% 192.07/191.93 [9338]~P2(f317(f317(f277(a903),x93383),x93384))+P2(f317(f317(f277(a903),x93381),x93382))+P2(f317(f317(f227(f910(a903,a898)),f280(a903,f277(a903),x93381,x93382)),f280(a903,f277(a903),x93383,x93384)))
% 192.07/191.93 [9351]~P2(f317(f317(f277(a903),x93512),x93514))+~P2(f317(f317(f277(a903),x93513),x93511))+P2(f317(f317(f226(f910(a903,a898)),f280(a903,f277(a903),x93511,x93512)),f280(a903,f277(a903),x93513,x93514)))
% 192.07/191.93 [9394]P2(f317(x93941,x93942))+~P2(f317(x93941,f317(f317(f154(x93943),x93944),f624(x93942,x93941,x93944,x93943))))+~P2(f317(f317(f319(x93943),x93942),f317(f162(x93943),x93944)))
% 192.07/191.93 [9416]E(x94161,x94162)+~P2(f317(f317(f319(f909(x94163,x94163)),f317(f317(f242(x94163,x94163),x94161),x94162)),f297(x94163,x94164)))+P2(f317(f317(f319(f909(x94163,x94163)),f317(f317(f242(x94163,x94163),x94161),x94162)),f317(f317(f279(x94163,x94163,x94163),x94164),f297(x94163,x94164))))
% 192.07/191.93 [9466]~E(f317(f179(f904(x94661)),x94662),f317(f179(f904(x94661)),x94663))+~P2(f317(f317(f319(f909(f904(x94661),f904(x94661))),f317(f317(f242(f904(x94661),f904(x94661)),x94662),x94663)),f137(x94661,x94664)))+P2(f317(f317(f319(f909(f904(x94661),f904(x94661))),f317(f317(f242(f904(x94661),f904(x94661)),x94662),x94663)),f135(x94661,x94664)))
% 192.07/191.93 [9589]P2(f317(f317(f277(a903),x95891),x95892))+~P2(f317(f317(f277(a903),x95893),x95891))+~P2(f317(f317(f226(f910(a903,a898)),f280(a903,f277(a903),x95893,x95891)),f280(a903,f277(a903),x95894,x95892)))
% 192.07/191.93 [9590]P2(f317(f317(f277(a903),x95901),x95902))+~P2(f317(f317(f277(a903),x95903),x95901))+~P2(f317(f317(f227(f910(a903,a898)),f280(a903,f277(a903),x95903,x95901)),f280(a903,f277(a903),x95904,x95902)))
% 192.07/191.93 [9591]P2(f317(f317(f277(a903),x95911),x95912))+~P2(f317(f317(f277(a903),x95912),x95913))+~P2(f317(f317(f226(f910(a903,a898)),f280(a903,f277(a903),x95912,x95913)),f280(a903,f277(a903),x95911,x95914)))
% 192.07/191.93 [9592]P2(f317(f317(f277(a903),x95921),x95922))+~P2(f317(f317(f277(a903),x95922),x95923))+~P2(f317(f317(f227(f910(a903,a898)),f280(a903,f277(a903),x95922,x95923)),f280(a903,f277(a903),x95921,x95924)))
% 192.07/191.93 [9712]P31(x97121,f317(f317(f20(x97121,a898,a898),f317(f317(f10(a898,f910(a898,a898),x97121),a316),f317(f317(f10(a898,a898,x97121),a312),x97122))),f317(a314,x97123)),x97124)+~P2(f317(x97122,x97123))+~P35(x97121,x97122,f317(f317(f141(x97121),x97123),x97124))
% 192.07/191.93 [9878]~P31(x98781,f317(f317(f20(x98781,a898,a898),f317(f317(f10(a898,f910(a898,a898),x98781),a316),f317(f317(f10(a898,a898,x98781),a312),x98782))),f317(a314,x98783)),x98784)+~P2(f317(x98782,x98783))+P35(x98781,x98782,f317(f317(f141(x98781),x98783),x98784))
% 192.07/191.93 [9882]~P35(x98821,x98822,x98824)+~P31(x98821,f317(f317(f20(x98821,a898,a898),f317(f317(f10(a898,f910(a898,a898),x98821),a316),f317(f317(f10(a898,a898,x98821),a312),x98822))),f317(a314,x98823)),x98824)+P35(x98821,x98822,f317(f317(f141(x98821),x98823),x98824))
% 192.07/191.93 [9916]~P68(x99161)+E(f317(f317(f8(a903,x99161),f317(f317(f20(a903,x99161,x99161),f317(f317(f10(x99161,f910(x99161,x99161),a903),f3(x99161)),x99162)),f317(f317(f10(a903,x99161,a903),x99162),f317(f317(f9(a903,a903,a903),f74(a903)),f72(a903))))),f293(a903,x99163,x99164)),f2(x99161))+P2(f317(f317(f226(a903),x99163),x99164))
% 192.07/191.93 [10154]~P37(x101542,x101544)+~P25(x101542,x101541,x101543,f232(f910(x101542,a898)))+P37(x101541,f317(f300(f909(x101542,x101542),f909(x101541,x101541),f248(x101542,x101541,x101542,x101541,x101543,x101543)),x101544))
% 192.07/191.93 [10345]~E(f317(f179(f904(x103451)),x103453),f317(f179(f904(x103451)),x103452))+P2(f317(f317(f319(f909(f904(x103451),f904(x103451))),f317(f317(f242(f904(x103451),f904(x103451)),x103452),x103453)),f148(x103451,x103454)))+~P2(f317(f317(f247(x103451,x103451,a898),f317(f317(f9(x103451,f910(f909(x103451,x103451),a898),f910(x103451,a898)),f317(f317(f10(f910(x103451,f910(f910(f909(x103451,x103451),a898),a898)),f910(f910(f909(x103451,x103451),a898),f910(x103451,a898)),x103451),f9(x103451,f910(f909(x103451,x103451),a898),a898)),f317(f317(f10(f910(x103451,f909(x103451,x103451)),f910(x103451,f910(f910(f909(x103451,x103451),a898),a898)),x103451),f317(f10(f909(x103451,x103451),f910(f910(f909(x103451,x103451),a898),a898),x103451),f319(f909(x103451,x103451)))),f242(x103451,x103451)))),x103454)),f590(x103454,x103453,x103452,x103451)))
% 192.07/191.93 [6183]~P4(x61831)+~E(x61832,f2(x61831))+E(f317(f317(f31(x61831),f317(f317(f75(x61831),x61832),x61833)),f317(f317(f75(x61831),x61832),x61834)),f2(x61831))
% 192.07/191.93 [6225]E(x62251,f103(x62252))+E(x62253,f317(f317(f3(a903),f317(f179(f904(x62252)),x62251)),f72(a903)))+E(f134(x62252,f317(f317(f149(x62252,x62251),x62253),x62254)),f134(x62252,x62251))
% 192.07/191.93 [6262]E(x62621,x62622)+P2(f317(x62623,x62622))+~P2(f317(f317(f317(f299(x62624),x62621),x62623),x62622))
% 192.07/191.93 [6278]~P75(x62781)+~P2(f317(f127(x62782),x62784))+E(f317(f155(x62781),f317(f317(f144(x62782,x62781),x62783),x62784)),f317(f317(f8(x62782,x62781),x62783),f317(f162(x62782),x62784)))
% 192.07/191.93 [6294]~P71(x62942)+~P2(f317(f29(x62941),x62944))+E(f317(f317(f11(x62941,x62942),f317(f18(x62942,x62941),x62943)),x62944),f317(f317(f234(x62942),x62943),f317(f30(x62941),x62944)))
% 192.07/191.93 [6349]~P61(x63492)+E(x63491,f2(x63492))+E(f317(f317(f281(x63492),f317(f317(f75(x63492),x63493),x63491)),f317(f317(f75(x63492),x63494),x63491)),f317(f317(f281(x63492),x63493),x63494))
% 192.07/191.93 [6350]~P61(x63502)+E(x63501,f2(x63502))+E(f317(f317(f281(x63502),f317(f317(f75(x63502),x63501),x63503)),f317(f317(f75(x63502),x63501),x63504)),f317(f317(f281(x63502),x63503),x63504))
% 192.07/191.93 [6351]~P4(x63512)+E(x63511,f2(x63512))+E(f317(f317(f31(x63512),f317(f317(f75(x63512),x63513),x63511)),f317(f317(f75(x63512),x63514),x63511)),f317(f317(f31(x63512),x63513),x63514))
% 192.07/191.93 [6353]~P4(x63532)+E(x63531,f2(x63532))+E(f317(f317(f31(x63532),f317(f317(f75(x63532),x63531),x63533)),f317(f317(f75(x63532),x63531),x63534)),f317(f317(f31(x63532),x63533),x63534))
% 192.07/191.93 [6422]P2(f317(x64221,x64222))+~E(x64223,f317(f317(f74(a903),x64224),x64222))+~P2(f317(x64221,f317(f317(f3(a903),x64223),x64224)))
% 192.07/191.93 [6508]~P2(f317(x65082,x65083))+~P2(f317(f150(x65081,x65082),x65084))+P2(f317(f150(x65081,x65082),f317(f317(f141(x65081),x65083),x65084)))
% 192.07/191.93 [6549]E(x65491,f103(x65492))+~E(x65493,f317(f317(f3(a903),f317(f179(f904(x65492)),x65491)),f72(a903)))+E(f134(x65492,f317(f317(f149(x65492,x65491),x65493),x65494)),x65494)
% 192.07/191.93 [6572]~P101(x65721)+~P2(f317(f317(f226(x65721),x65722),x65724))+P2(f317(f317(f226(x65721),x65722),f317(f317(f100(x65721),x65723),x65724)))
% 192.07/191.93 [6573]~P101(x65731)+~P2(f317(f317(f226(x65731),x65732),x65733))+P2(f317(f317(f226(x65731),x65732),f317(f317(f100(x65731),x65733),x65734)))
% 192.07/191.93 [6575]~P108(x65751)+~P2(f317(f317(f226(x65751),x65752),x65754))+P2(f317(f317(f226(x65751),x65752),f317(f317(f225(x65751),x65753),x65754)))
% 192.07/191.93 [6577]~P108(x65771)+~P2(f317(f317(f226(x65771),x65772),x65773))+P2(f317(f317(f226(x65771),x65772),f317(f317(f225(x65771),x65773),x65774)))
% 192.07/191.93 [6578]~P101(x65781)+~P2(f317(f317(f227(x65781),x65782),x65784))+P2(f317(f317(f227(x65781),x65782),f317(f317(f100(x65781),x65783),x65784)))
% 192.07/191.93 [6579]~P101(x65791)+~P2(f317(f317(f227(x65791),x65792),x65793))+P2(f317(f317(f227(x65791),x65792),f317(f317(f100(x65791),x65793),x65794)))
% 192.07/191.93 [6581]~P108(x65811)+~P2(f317(f317(f227(x65811),x65812),x65814))+P2(f317(f317(f227(x65811),x65812),f317(f317(f225(x65811),x65813),x65814)))
% 192.07/191.93 [6583]~P108(x65831)+~P2(f317(f317(f227(x65831),x65832),x65833))+P2(f317(f317(f227(x65831),x65832),f317(f317(f225(x65831),x65833),x65834)))
% 192.07/191.93 [6584]~P118(x65841)+~P2(f317(f317(f277(x65841),x65842),x65844))+P2(f317(f317(f277(x65841),x65842),f317(f317(f75(x65841),x65843),x65844)))
% 192.07/191.93 [6585]~P118(x65851)+~P2(f317(f317(f277(x65851),x65852),x65853))+P2(f317(f317(f277(x65851),x65852),f317(f317(f75(x65851),x65853),x65854)))
% 192.07/191.93 [6678]~E(f317(f317(f154(x66781),x66782),x66783),x66784)+E(f317(f317(f149(x66781,x66782),x66783),x66784),x66782)+~P2(f317(f317(f227(a903),x66783),f317(f179(f904(x66781)),x66782)))
% 192.07/191.93 [6718]P2(f317(x67181,x67182))+~P2(f317(x67183,x67182))+~P2(f317(f317(f226(f910(x67184,a898)),x67183),x67181))
% 192.07/191.93 [6753]~E(f317(f317(f149(x67531,x67532),x67533),x67534),x67532)+E(f317(f317(f154(x67531),x67532),x67533),x67534)+~P2(f317(f317(f227(a903),x67533),f317(f179(f904(x67531)),x67532)))
% 192.07/191.93 [6767]~P2(f317(f150(x67671,x67672),x67674))+~P2(f317(f150(x67671,x67672),x67673))+P2(f317(f150(x67671,x67672),f317(f317(f124(x67671),x67673),x67674)))
% 192.07/191.93 [6877]E(x68771,f178(f910(x68772,a898)))+E(x68773,f178(f910(x68774,a898)))+~E(f317(f317(f244(x68774,x68772),x68773),f317(f18(f910(x68772,a898),x68774),x68771)),f178(f910(f909(x68774,x68772),a898)))
% 192.07/191.93 [6897]E(x68971,x68972)+P2(f317(f317(f319(x68973),x68971),x68974))+~P2(f317(f317(f319(x68973),x68971),f317(f317(f299(x68973),x68972),x68974)))
% 192.07/191.93 [6914]~P108(x69141)+P2(f317(f317(f226(x69141),x69142),x69143))+~P2(f317(f317(f226(x69141),x69142),f317(f317(f224(x69141),x69144),x69143)))
% 192.07/191.93 [6916]~P108(x69161)+P2(f317(f317(f226(x69161),x69162),x69163))+~P2(f317(f317(f226(x69161),x69162),f317(f317(f224(x69161),x69163),x69164)))
% 192.07/191.93 [6918]~P104(x69181)+P2(f317(f317(f226(x69181),x69182),x69183))+~P2(f317(f317(f226(x69181),x69182),f317(f317(f91(x69181),x69184),x69183)))
% 192.07/191.93 [6920]~P104(x69201)+P2(f317(f317(f226(x69201),x69202),x69203))+~P2(f317(f317(f226(x69201),x69202),f317(f317(f91(x69201),x69203),x69204)))
% 192.07/191.93 [6921]~P108(x69211)+P2(f317(f317(f227(x69211),x69212),x69213))+~P2(f317(f317(f227(x69211),x69212),f317(f317(f224(x69211),x69214),x69213)))
% 192.07/191.93 [6922]~P108(x69221)+P2(f317(f317(f227(x69221),x69222),x69223))+~P2(f317(f317(f227(x69221),x69222),f317(f317(f224(x69221),x69223),x69224)))
% 192.07/191.93 [6943]~E(f317(f317(f154(x69431),x69433),x69434),x69432)+P2(f317(f317(f319(x69431),x69432),f317(f162(x69431),x69433)))+~P2(f317(f317(f227(a903),x69434),f317(f179(f904(x69431)),x69433)))
% 192.07/191.93 [6953]~P108(x69531)+~P14(x69531,f317(f317(f141(x69531),x69532),f317(f317(f141(x69531),x69533),x69534)))+P2(f317(f317(f226(x69531),x69532),x69533))
% 192.07/191.93 [7101]~P31(x71012,x71011,x71013)+P2(f317(x71011,f317(f317(f154(x71012),x71013),x71014)))+~P2(f317(f317(f227(a903),x71014),f317(f179(f904(x71012)),x71013)))
% 192.07/191.93 [7119]E(x71191,f2(a1))+E(f317(f317(f31(a1),x71192),x71191),x71193)+~P2(f317(f45(x71192,x71191),f317(f317(f242(a1,a1),x71193),x71194)))
% 192.07/191.93 [7141]E(f41(a1,x71412,x71411),x71413)+E(x71411,f2(a1))+~P2(f317(f45(x71412,x71411),f317(f317(f242(a1,a1),x71414),x71413)))
% 192.07/191.93 [7260]P2(f317(f317(f319(x72601),x72602),x72603))+~P2(f317(f317(f319(x72601),x72602),x72604))+~P2(f317(f317(f227(f910(x72601,a898)),x72604),x72603))
% 192.07/191.93 [7261]P2(f317(f317(f319(x72611),x72612),x72613))+~P2(f317(f317(f319(x72611),x72612),x72614))+~P2(f317(f317(f226(f910(x72611,a898)),x72614),x72613))
% 192.07/191.93 [7272]~P120(x72721)+~E(x72723,f2(x72721))+P2(f317(f317(f277(x72721),f317(f317(f75(x72721),x72722),x72723)),f317(f317(f75(x72721),x72724),x72723)))
% 192.07/191.93 [7273]~P120(x72731)+~E(x72732,f2(x72731))+P2(f317(f317(f277(x72731),f317(f317(f75(x72731),x72732),x72733)),f317(f317(f75(x72731),x72732),x72734)))
% 192.07/191.93 [7373]P33(x73731,x73732,x73733)+~P2(f317(x73732,f317(f317(f154(x73731),x73733),x73734)))+~P2(f317(f317(f227(a903),x73734),f317(f179(f904(x73731)),x73733)))
% 192.07/191.93 [7488]~P107(x74882)+~P2(f317(f317(f227(f910(x74881,x74882)),x74883),x74884))+P2(f317(f317(f226(f910(x74881,x74882)),x74883),x74884))
% 192.07/191.93 [7612]~P2(f317(f317(f319(x76121),x76122),x76124))+P2(f317(f317(f319(x76121),x76122),f32(f910(x76121,a898),x76123)))+~P2(f317(f317(f319(f910(x76121,a898)),x76124),x76123))
% 192.07/191.93 [7614]~P118(x76141)+~P2(f317(f317(f226(a903),x76143),x76144))+P2(f317(f317(f277(x76141),f317(f317(f234(x76141),x76142),x76143)),f317(f317(f234(x76141),x76142),x76144)))
% 192.07/191.93 [7641]~P83(x76411)+~P2(f317(f317(f226(x76411),x76413),x76414))+P2(f317(f317(f226(x76411),f317(f317(f74(x76411),x76412),x76413)),f317(f317(f74(x76411),x76412),x76414)))
% 192.07/191.93 [7642]~P84(x76421)+~P2(f317(f317(f226(x76421),x76423),x76424))+P2(f317(f317(f226(x76421),f317(f317(f74(x76421),x76422),x76423)),f317(f317(f74(x76421),x76422),x76424)))
% 192.07/191.93 [7643]~P83(x76431)+~P2(f317(f317(f226(x76431),x76432),x76434))+P2(f317(f317(f226(x76431),f317(f317(f74(x76431),x76432),x76433)),f317(f317(f74(x76431),x76434),x76433)))
% 192.07/191.93 [7644]~P84(x76441)+~P2(f317(f317(f226(x76441),x76442),x76444))+P2(f317(f317(f226(x76441),f317(f317(f74(x76441),x76442),x76443)),f317(f317(f74(x76441),x76444),x76443)))
% 192.07/191.93 [7645]~P83(x76451)+~P2(f317(f317(f227(x76451),x76453),x76454))+P2(f317(f317(f227(x76451),f317(f317(f74(x76451),x76452),x76453)),f317(f317(f74(x76451),x76452),x76454)))
% 192.07/191.93 [7646]~P86(x76461)+~P2(f317(f317(f227(x76461),x76463),x76464))+P2(f317(f317(f227(x76461),f317(f317(f74(x76461),x76462),x76463)),f317(f317(f74(x76461),x76462),x76464)))
% 192.07/191.93 [7647]~P83(x76471)+~P2(f317(f317(f227(x76471),x76472),x76474))+P2(f317(f317(f227(x76471),f317(f317(f74(x76471),x76472),x76473)),f317(f317(f74(x76471),x76474),x76473)))
% 192.07/191.93 [7648]~P86(x76481)+~P2(f317(f317(f227(x76481),x76482),x76484))+P2(f317(f317(f227(x76481),f317(f317(f74(x76481),x76482),x76483)),f317(f317(f74(x76481),x76484),x76483)))
% 192.07/191.93 [7649]~P120(x76491)+~P2(f317(f317(f277(x76491),x76493),x76494))+P2(f317(f317(f277(x76491),f317(f317(f75(x76491),x76492),x76493)),f317(f317(f75(x76491),x76492),x76494)))
% 192.07/191.93 [7650]~P120(x76501)+~P2(f317(f317(f277(x76501),x76502),x76504))+P2(f317(f317(f277(x76501),f317(f317(f75(x76501),x76502),x76503)),f317(f317(f75(x76501),x76504),x76503)))
% 192.07/191.93 [7651]~P118(x76511)+~P2(f317(f317(f277(x76511),x76512),x76514))+P2(f317(f317(f277(x76511),f317(f317(f234(x76511),x76512),x76513)),f317(f317(f234(x76511),x76514),x76513)))
% 192.07/191.93 [7658]~P128(x76581)+~P94(x76581)+E(f317(f317(f3(x76581),f317(f317(f75(x76581),x76582),f317(f93(x76581),x76583))),f317(f317(f75(x76581),x76584),f317(f93(x76581),x76583))),f317(f317(f75(x76581),f317(f317(f3(x76581),x76582),x76584)),f317(f93(x76581),x76583)))
% 192.07/191.93 [7659]~P127(x76591)+~P94(x76591)+E(f317(f317(f74(x76591),f317(f317(f75(x76591),x76592),f317(f93(x76591),x76593))),f317(f317(f75(x76591),x76594),f317(f93(x76591),x76593))),f317(f317(f75(x76591),f317(f317(f74(x76591),x76592),x76594)),f317(f93(x76591),x76593)))
% 192.07/191.93 [7695]~P75(x76951)+E(f317(f317(f74(x76951),f317(x76952,x76953)),f317(f317(f8(a903,x76951),x76952),f293(a903,f317(a102,x76953),x76954))),f317(f317(f8(a903,x76951),x76952),f293(a903,x76953,x76954)))+~P2(f317(f317(f226(a903),x76953),x76954))
% 192.07/191.93 [7707]~P25(x77072,x77071,x77073,f317(f162(x77072),x77074))+~P2(f317(f127(x77072),x77074))+P2(f317(f127(x77071),f317(f317(f144(x77072,x77071),x77073),x77074)))
% 192.07/191.93 [7756]~P2(f317(f317(f226(a903),x77562),x77564))+~P2(f317(f317(f226(a903),x77561),x77563))+P2(f317(f317(f226(a903),f317(f317(f75(a903),x77561),x77562)),f317(f317(f75(a903),x77563),x77564)))
% 192.07/191.93 [7757]~P2(f317(f317(f226(a903),x77572),x77574))+~P2(f317(f317(f226(a903),x77571),x77573))+P2(f317(f317(f226(a903),f317(f317(f74(a903),x77571),x77572)),f317(f317(f74(a903),x77573),x77574)))
% 192.07/191.93 [7760]~P2(f317(f317(f227(a903),x77602),x77604))+~P2(f317(f317(f227(a903),x77601),x77603))+P2(f317(f317(f227(a903),f317(f317(f74(a903),x77601),x77602)),f317(f317(f74(a903),x77603),x77604)))
% 192.07/191.93 [7761]~P2(f317(f317(f226(a1),x77612),x77614))+~P2(f317(f317(f227(a1),x77611),x77613))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x77611),x77612)),f317(f317(f74(a1),x77613),x77614)))
% 192.07/191.93 [7809]P2(f317(f317(f319(x78091),x78092),x78093))+~P2(f317(f317(f319(x78091),x78092),f33(f910(x78091,a898),x78094)))+~P2(f317(f317(f319(f910(x78091,a898)),x78093),x78094))
% 192.07/191.93 [7826]~P2(f317(x78261,f583(x78261,x78263,x78262)))+P2(f317(x78261,f317(f317(f154(x78262),x78263),x78264)))+~P2(f317(f317(f227(a903),x78264),f317(f179(f904(x78262)),x78263)))
% 192.07/191.93 [7831]P2(f317(x78311,x78312))+~P2(f317(f317(f319(x78314),x78312),f317(f162(x78314),x78313)))+P2(f317(f317(f227(a903),f585(x78311,x78313,x78314)),f317(f179(f904(x78314)),x78313)))
% 192.07/191.93 [7878]~P107(x78781)+~P2(f317(f317(f227(f910(x78782,x78781)),x78784),x78783))+~P2(f317(f317(f226(f910(x78782,x78781)),x78783),x78784))
% 192.07/191.93 [7923]~P2(f317(x79234,x79232))+~P2(f317(f317(f319(x79231),x79232),x79233))+P2(f317(f317(f319(x79231),x79232),f317(f317(f91(f910(x79231,a898)),x79233),f317(f252(x79231),x79234))))
% 192.07/191.93 [8068]~P2(f317(f317(f319(x80681),x80683),x80684))+~P2(f317(f317(f227(f910(x80681,a898)),x80682),x80684))+P2(f317(f317(f227(f910(x80681,a898)),x80682),f317(f317(f299(x80681),x80683),x80684)))
% 192.07/191.93 [8070]E(f317(f317(f91(f910(x80701,a898)),x80702),x80703),f178(f910(x80701,a898)))+~E(f317(f317(f91(f910(x80701,a898)),f32(f910(x80701,a898),x80704)),x80703),f178(f910(x80701,a898)))+~P2(f317(f317(f319(f910(x80701,a898)),x80702),x80704))
% 192.07/191.93 [8143]P2(f317(f317(f319(x81431),x81432),x81433))+~P2(f317(f317(f226(f910(x81431,a898)),x81433),f317(f317(f299(x81431),x81432),x81434)))+P2(f317(f317(f226(f910(x81431,a898)),x81433),x81434))
% 192.07/191.93 [8160]P2(f317(f317(f319(x81602),f583(x81601,x81603,x81602)),f317(f162(x81602),x81603)))+P2(f317(x81601,f317(f317(f154(x81602),x81603),x81604)))+~P2(f317(f317(f227(a903),x81604),f317(f179(f904(x81602)),x81603)))
% 192.07/191.93 [8168]~P2(f317(f317(f226(f910(x81681,a898)),x81682),x81684))+P2(f317(f317(f226(f910(x81681,a898)),x81682),x81683))+~P2(f317(f317(f226(f910(x81681,a898)),x81684),x81683))
% 192.07/191.93 [8169]~P2(f317(f317(f227(f910(x81691,a898)),x81692),x81694))+~P2(f317(f317(f226(f910(x81691,a898)),x81694),x81693))+P2(f317(f317(f227(f910(x81691,a898)),x81692),x81693))
% 192.07/191.93 [8170]~P2(f317(f317(f226(f910(x81701,a898)),x81702),x81704))+~P2(f317(f317(f227(f910(x81701,a898)),x81704),x81703))+P2(f317(f317(f227(f910(x81701,a898)),x81702),x81703))
% 192.07/191.93 [8171]~P2(f317(f317(f227(f910(x81711,a898)),x81712),x81714))+P2(f317(f317(f227(f910(x81711,a898)),x81712),x81713))+~P2(f317(f317(f227(f910(x81711,a898)),x81714),x81713))
% 192.07/191.93 [8215]~P2(f317(f317(f319(x82151),x82154),x82153))+~P2(f317(f317(f227(f910(x82151,a898)),x82152),f317(f317(f299(x82151),x82154),x82153)))+P2(f317(f317(f227(f910(x82151,a898)),x82152),x82153))
% 192.07/191.93 [8226]~P83(x82261)+P2(f317(f317(f226(x82261),x82262),x82263))+~P2(f317(f317(f226(x82261),f317(f317(f74(x82261),x82264),x82262)),f317(f317(f74(x82261),x82264),x82263)))
% 192.07/191.93 [8228]~P83(x82281)+P2(f317(f317(f226(x82281),x82282),x82283))+~P2(f317(f317(f226(x82281),f317(f317(f74(x82281),x82282),x82284)),f317(f317(f74(x82281),x82283),x82284)))
% 192.07/191.93 [8230]~P83(x82301)+P2(f317(f317(f227(x82301),x82302),x82303))+~P2(f317(f317(f227(x82301),f317(f317(f74(x82301),x82304),x82302)),f317(f317(f74(x82301),x82304),x82303)))
% 192.07/191.93 [8232]~P83(x82321)+P2(f317(f317(f227(x82321),x82322),x82323))+~P2(f317(f317(f227(x82321),f317(f317(f74(x82321),x82322),x82324)),f317(f317(f74(x82321),x82323),x82324)))
% 192.07/191.93 [8283]P2(f317(x82831,x82832))+~E(f317(f317(f128(x82833),f317(f179(f904(x82833)),f167(x82833,x82831,x82834))),x82834),f103(x82833))+~P2(f317(f317(f319(x82833),x82832),f317(f162(x82833),x82834)))
% 192.07/191.93 [8402]P2(f317(x84021,x84022))+~P2(f317(f317(f319(x84023),x84022),f317(f162(x84023),x84024)))+P2(f317(f317(f227(a903),f317(f179(f904(x84023)),f317(f126(x84023,x84021),x84024))),f317(f179(f904(x84023)),x84024)))
% 192.07/191.93 [8892]~P2(f317(x88921,f701(x88921,x88923,x88922,x88924)))+P2(f317(x88921,f317(f317(f154(x88922),x88923),x88924)))+~P2(f317(f317(f227(a903),x88924),f317(f179(f904(x88922)),x88923)))
% 192.07/191.93 [8916]~P25(x89164,x89163,x89161,f232(f910(x89164,a898)))+E(f317(x89161,f366(x89162,x89161,x89163,x89164)),x89162)+~P2(f317(f317(f319(x89163),x89162),f317(f300(x89164,x89163,x89161),f232(f910(x89164,a898)))))
% 192.07/191.93 [8984]E(f167(x89841,x89842,x89843),f317(f317(f165(x89841),x89844),x89843))+P2(f317(f317(f227(a903),f644(x89842,x89843,x89841,x89844)),x89844))+P2(f317(f317(f227(a903),x89844),f317(f179(f904(x89841)),x89843)))
% 192.07/191.93 [8987]E(f167(x89871,x89872,x89873),f317(f317(f165(x89871),x89874),x89873))+P2(f317(f317(f227(a903),f644(x89872,x89873,x89871,x89874)),x89874))+P2(f317(x89872,f317(f317(f154(x89871),x89873),x89874)))
% 192.07/191.93 [9022]P2(f317(x90221,x90222))+~P2(f317(f317(f319(x90224),x90222),f317(f162(x90224),x90223)))+P2(f317(f317(f227(a903),f624(x90222,x90221,x90223,x90224)),f317(f179(f904(x90224)),x90223)))
% 192.07/191.93 [9024]E(f167(x90241,x90242,x90243),f317(f317(f165(x90241),x90244),x90243))+P2(f317(f317(f227(a903),x90244),f317(f179(f904(x90241)),x90243)))+P2(f317(f317(f227(a903),f644(x90242,x90243,x90241,x90244)),f317(f179(f904(x90241)),x90243)))
% 192.07/191.93 [9031]E(f167(x90311,x90312,x90313),f317(f317(f165(x90311),x90314),x90313))+P2(f317(x90312,f317(f317(f154(x90311),x90313),x90314)))+P2(f317(f317(f227(a903),f644(x90312,x90313,x90311,x90314)),f317(f179(f904(x90311)),x90313)))
% 192.07/191.93 [9056]~P110(x90564)+P2(f317(f317(f319(x90561),f430(x90562,x90563,x90561,x90564)),x90563))+P2(f317(f317(f227(x90564),f2(x90564)),f317(f317(f11(x90561,x90564),x90562),x90563)))
% 192.07/191.93 [9057]~P110(x90574)+P2(f317(f317(f319(x90571),f431(x90572,x90573,x90571,x90574)),x90573))+P2(f317(f317(f226(x90574),f2(x90574)),f317(f317(f11(x90571,x90574),x90572),x90573)))
% 192.07/191.93 [9082]~P2(f317(f29(x90821),x90824))+P2(f317(f317(f319(x90821),f536(x90822,x90823,x90824,x90821)),x90824))+P2(f317(f29(f909(x90821,x90823)),f317(f317(f244(x90821,x90823),x90824),x90822)))
% 192.07/191.93 [9114]P2(f317(f317(f319(x91142),f701(x91141,x91143,x91142,x91144)),f317(f162(x91142),x91143)))+P2(f317(x91141,f317(f317(f154(x91142),x91143),x91144)))+~P2(f317(f317(f227(a903),x91144),f317(f179(f904(x91142)),x91143)))
% 192.07/191.93 [9243]P2(f317(f317(f226(a903),x92434),f317(f179(f904(x92432)),f167(x92432,x92433,x92431))))+P2(f317(f317(f227(a903),f645(x92431,x92432,x92433,x92434)),x92434))+~P2(f317(f317(f226(a903),x92434),f317(f179(f904(x92432)),x92431)))
% 192.07/191.93 [9398]E(f167(x93981,x93982,x93983),f317(f317(f165(x93981),x93984),x93983))+~P2(f317(x93982,f317(f317(f154(x93981),x93983),f644(x93982,x93983,x93981,x93984))))+P2(f317(f317(f227(a903),x93984),f317(f179(f904(x93981)),x93983)))
% 192.07/191.93 [9406]E(f167(x94061,x94062,x94063),f317(f317(f165(x94061),x94064),x94063))+~P2(f317(x94062,f317(f317(f154(x94061),x94063),f644(x94062,x94063,x94061,x94064))))+P2(f317(x94062,f317(f317(f154(x94061),x94063),x94064)))
% 192.07/191.93 [9410]~P2(f317(f29(x94101),x94103))+~P2(f317(f29(x94102),f317(x94104,f536(x94104,x94102,x94103,x94101))))+P2(f317(f29(f909(x94101,x94102)),f317(f317(f244(x94101,x94102),x94103),x94104)))
% 192.07/191.93 [9418]~P110(x94181)+~P2(f317(f317(f226(x94181),f2(x94181)),f317(x94183,f431(x94183,x94184,x94182,x94181))))+P2(f317(f317(f226(x94181),f2(x94181)),f317(f317(f11(x94182,x94181),x94183),x94184)))
% 192.07/191.93 [9419]~P110(x94191)+~P2(f317(f317(f227(x94191),f2(x94191)),f317(x94193,f430(x94193,x94194,x94192,x94191))))+P2(f317(f317(f227(x94191),f2(x94191)),f317(f317(f11(x94192,x94191),x94193),x94194)))
% 192.07/191.93 [9427]~E(f317(f179(f904(x94274)),x94272),f317(f179(f904(x94274)),x94273))+P2(f317(f317(f319(f909(f904(x94274),f904(x94274))),f317(f317(f242(f904(x94274),f904(x94274)),x94273),x94272)),f148(x94274,x94271)))+P2(f317(f317(f227(a903),f581(x94271,x94272,x94273,x94274)),f317(f179(f904(x94274)),x94273)))
% 192.07/191.93 [9479]~P2(f317(x94793,f317(f317(f154(x94792),x94794),f645(x94794,x94792,x94793,x94791))))+P2(f317(f317(f226(a903),x94791),f317(f179(f904(x94792)),f167(x94792,x94793,x94794))))+~P2(f317(f317(f226(a903),x94791),f317(f179(f904(x94792)),x94794)))
% 192.07/191.93 [9560]E(f317(f317(f165(x95601),f584(x95602,x95603,x95604,x95601)),x95603),f317(f317(f165(x95601),f584(x95602,x95603,x95604,x95601)),x95604))+~P2(f317(f317(f319(f909(f904(x95601),f904(x95601))),f317(f317(f242(f904(x95601),f904(x95601)),x95604),x95603)),f137(x95601,x95602)))+P2(f317(f317(f227(a903),f317(f179(f904(x95601)),x95604)),f317(f179(f904(x95601)),x95603)))
% 192.07/191.93 [9625]~P2(f317(f317(f227(a903),f2(a903)),x96253))+~P2(f317(f317(f227(a903),x96254),x96251))+P2(f317(f317(f227(a903),f317(f317(f74(a903),f317(f317(f75(a903),x96251),f41(a903,x96252,x96253))),x96254)),f317(f317(f75(a903),x96251),x96253)))
% 192.07/191.93 [9817]~P107(x98172)+~P2(f317(f317(f226(x98172),f317(x98173,f771(x98174,x98173,x98171,x98172))),f317(x98174,f771(x98174,x98173,x98171,x98172))))+P2(f317(f317(f226(f910(x98171,x98172)),x98173),x98174))
% 192.07/191.93 [9921]~P68(x99211)+E(f317(f317(f8(a903,x99211),f317(f317(f20(a903,x99211,x99211),f317(f317(f10(x99211,f910(x99211,x99211),a903),f3(x99211)),x99212)),f317(f317(f10(a903,x99211,a903),x99212),f317(f317(f9(a903,a903,a903),f74(a903)),f72(a903))))),f293(a903,x99213,x99214)),f317(f317(f3(x99211),f317(x99212,x99213)),f317(x99212,f317(f317(f74(a903),x99214),f72(a903)))))+~P2(f317(f317(f226(a903),x99213),x99214))
% 192.07/191.93 [9996]~P37(x99963,f317(f317(f279(x99963,x99963,x99963),x99962),f297(x99963,x99962)))+~P2(f317(f317(f319(f909(x99963,x99963)),f317(f317(f242(x99963,x99963),f317(x99961,f317(a102,f818(x99962,x99961,x99963)))),f317(x99961,f818(x99962,x99961,x99963)))),f297(x99963,x99962)))+E(f317(x99961,f317(f317(f74(a903),f817(x99962,x99961,x99963)),x99964)),f317(x99961,f817(x99962,x99961,x99963)))
% 192.07/191.93 [6860]~P4(x68601)+E(f317(f317(f31(x68601),f317(f317(f75(x68601),x68602),x68603)),x68604),f317(f317(f75(x68601),x68602),f317(f317(f31(x68601),x68603),x68604)))+~P2(f317(f317(f277(x68601),x68604),x68603))
% 192.07/191.93 [6947]E(f317(f317(f124(x69471),x69472),x69473),x69474)+~E(x69473,f317(f317(f128(x69471),f317(f179(f904(x69471)),x69472)),x69474))+~E(f317(f317(f165(x69471),f317(f179(f904(x69471)),x69472)),x69474),x69472)
% 192.07/191.93 [7003]~P62(x70032)+E(x70031,f2(x70032))+E(f317(f317(f281(x70032),f317(f317(f234(x70032),x70033),x70034)),f317(f317(f234(x70032),x70031),x70034)),f317(f317(f234(x70032),f317(f317(f281(x70032),x70033),x70031)),x70034))
% 192.07/191.93 [7149]~P4(x71491)+E(f317(f317(f31(x71491),f317(f317(f75(x71491),x71492),x71493)),x71494),f317(f317(f75(x71491),f317(f317(f31(x71491),x71492),x71494)),x71493))+~P2(f317(f317(f277(x71491),x71494),x71492))
% 192.07/191.93 [7157]~P104(x71571)+~P2(f317(f317(f226(x71571),x71573),x71574))+P2(f317(f317(f226(x71571),f317(f317(f91(x71571),x71572),x71573)),x71574))
% 192.07/191.93 [7158]~P104(x71581)+~P2(f317(f317(f226(x71581),x71582),x71584))+P2(f317(f317(f226(x71581),f317(f317(f91(x71581),x71582),x71583)),x71584))
% 192.07/191.93 [7160]~P108(x71601)+~P2(f317(f317(f226(x71601),x71603),x71604))+P2(f317(f317(f226(x71601),f317(f317(f224(x71601),x71602),x71603)),x71604))
% 192.07/191.93 [7162]~P108(x71621)+~P2(f317(f317(f226(x71621),x71622),x71624))+P2(f317(f317(f226(x71621),f317(f317(f224(x71621),x71622),x71623)),x71624))
% 192.07/191.93 [7163]~P104(x71631)+~P2(f317(f317(f227(x71631),x71633),x71634))+P2(f317(f317(f227(x71631),f317(f317(f91(x71631),x71632),x71633)),x71634))
% 192.07/191.93 [7164]~P104(x71641)+~P2(f317(f317(f227(x71641),x71642),x71644))+P2(f317(f317(f227(x71641),f317(f317(f91(x71641),x71642),x71643)),x71644))
% 192.07/191.93 [7166]~P108(x71661)+~P2(f317(f317(f227(x71661),x71663),x71664))+P2(f317(f317(f227(x71661),f317(f317(f224(x71661),x71662),x71663)),x71664))
% 192.07/191.93 [7168]~P108(x71681)+~P2(f317(f317(f227(x71681),x71682),x71684))+P2(f317(f317(f227(x71681),f317(f317(f224(x71681),x71682),x71683)),x71684))
% 192.07/191.93 [7191]~P2(f317(x71913,x71914))+~P2(f317(x71912,x71914))+P2(f317(f317(f317(f91(f910(x71911,a898)),x71912),x71913),x71914))
% 192.07/191.93 [7453]~P4(x74531)+E(f317(f317(f31(x74531),f317(f317(f234(x74531),x74532),x74533)),f317(f317(f234(x74531),x74534),x74533)),f317(f317(f234(x74531),f317(f317(f31(x74531),x74532),x74534)),x74533))+~P2(f317(f317(f277(x74531),x74534),x74532))
% 192.07/191.93 [7685]~P75(x76851)+E(f317(f317(f74(x76851),f317(x76852,x76853)),f317(f317(f8(a903,x76851),x76852),f317(f292(a903,f317(a102,x76853)),x76854))),f317(f317(f8(a903,x76851),x76852),f317(f292(a903,x76853),x76854)))+~P2(f317(f317(f227(a903),x76853),x76854))
% 192.07/191.93 [7703]E(x77031,x77032)+P2(f317(f317(f162(x77033),x77034),x77032))+~P2(f317(f317(f162(x77033),f317(f317(f141(x77033),x77031),x77034)),x77032))
% 192.07/191.93 [7715]~P108(x77151)+P2(f317(f317(f226(x77151),x77152),x77153))+~P2(f317(f317(f226(x77151),f317(f317(f225(x77151),x77154),x77152)),x77153))
% 192.07/191.93 [7717]~P108(x77171)+P2(f317(f317(f226(x77171),x77172),x77173))+~P2(f317(f317(f226(x77171),f317(f317(f225(x77171),x77172),x77174)),x77173))
% 192.07/191.93 [7719]~P101(x77191)+P2(f317(f317(f226(x77191),x77192),x77193))+~P2(f317(f317(f226(x77191),f317(f317(f100(x77191),x77194),x77192)),x77193))
% 192.07/191.93 [7721]~P101(x77211)+P2(f317(f317(f226(x77211),x77212),x77213))+~P2(f317(f317(f226(x77211),f317(f317(f100(x77211),x77212),x77214)),x77213))
% 192.07/191.93 [7722]~P108(x77221)+P2(f317(f317(f227(x77221),x77222),x77223))+~P2(f317(f317(f227(x77221),f317(f317(f225(x77221),x77224),x77222)),x77223))
% 192.07/191.93 [7723]~P108(x77231)+P2(f317(f317(f227(x77231),x77232),x77233))+~P2(f317(f317(f227(x77231),f317(f317(f225(x77231),x77232),x77234)),x77233))
% 192.07/191.93 [7724]~P118(x77241)+P2(f317(f317(f277(x77241),x77242),x77243))+~P2(f317(f317(f277(x77241),f317(f317(f75(x77241),x77244),x77242)),x77243))
% 192.07/191.93 [7725]~P118(x77251)+P2(f317(f317(f277(x77251),x77252),x77253))+~P2(f317(f317(f277(x77251),f317(f317(f75(x77251),x77252),x77254)),x77253))
% 192.07/191.93 [7801]~P2(f317(f317(f319(x78011),x78012),x78014))+P2(f317(f317(f319(x78011),x78012),x78013))+P2(f317(f317(f319(x78011),x78012),f317(f317(f3(f910(x78011,a898)),x78014),x78013)))
% 192.07/191.93 [7885]P2(f317(x78851,x78852))+P2(f317(x78853,x78852))+~P2(f317(f317(f317(f100(f910(x78854,a898)),x78853),x78851),x78852))
% 192.07/191.93 [7897]~P2(f317(f317(f319(x78971),x78972),x78974))+~P2(f317(f317(f319(x78971),x78972),x78973))+P2(f317(f317(f319(x78971),x78972),f317(f317(f91(f910(x78971,a898)),x78973),x78974)))
% 192.07/191.93 [7945]~P101(x79451)+~P2(f317(f29(x79451),x79454))+E(f317(f317(f59(x79451,x79451,f100(x79451)),x79452),f317(f317(f299(x79451),x79453),x79454)),f317(f317(f100(x79451),x79453),f317(f317(f59(x79451,x79451,f100(x79451)),x79452),x79454)))
% 192.07/191.93 [7946]~P104(x79461)+~P2(f317(f29(x79461),x79464))+E(f317(f317(f59(x79461,x79461,f91(x79461)),x79462),f317(f317(f299(x79461),x79463),x79464)),f317(f317(f91(x79461),x79463),f317(f317(f59(x79461,x79461,f91(x79461)),x79462),x79464)))
% 192.07/191.93 [7947]~P108(x79471)+~P2(f317(f29(x79471),x79474))+E(f317(f317(f59(x79471,x79471,f224(x79471)),x79472),f317(f317(f299(x79471),x79473),x79474)),f317(f317(f224(x79471),x79473),f317(f317(f59(x79471,x79471,f224(x79471)),x79472),x79474)))
% 192.07/191.93 [7948]~P108(x79481)+~P2(f317(f29(x79481),x79484))+E(f317(f317(f59(x79481,x79481,f225(x79481)),x79482),f317(f317(f299(x79481),x79483),x79484)),f317(f317(f225(x79481),x79483),f317(f317(f59(x79481,x79481,f225(x79481)),x79482),x79484)))
% 192.07/191.93 [7950]~P128(x79501)+~P94(x79501)+E(f317(f317(f3(x79501),f317(f317(f75(x79501),f317(f93(x79501),x79502)),x79503)),f317(f317(f75(x79501),f317(f93(x79501),x79502)),x79504)),f317(f317(f75(x79501),f317(f93(x79501),x79502)),f317(f317(f3(x79501),x79503),x79504)))
% 192.07/191.93 [7951]~P127(x79511)+~P94(x79511)+E(f317(f317(f74(x79511),f317(f317(f75(x79511),f317(f93(x79511),x79512)),x79513)),f317(f317(f75(x79511),f317(f93(x79511),x79512)),x79514)),f317(f317(f75(x79511),f317(f93(x79511),x79512)),f317(f317(f74(x79511),x79513),x79514)))
% 192.07/191.93 [8066]E(x80661,x80662)+P2(f317(f317(f319(x80663),x80661),f317(f162(x80663),x80664)))+~P2(f317(f317(f319(x80663),x80661),f317(f162(x80663),f317(f317(f141(x80663),x80662),x80664))))
% 192.07/191.93 [8237]P54(x82371,x82372,x82373)+~P54(x82371,x82372,x82374)+~P2(f317(f317(f226(f910(f909(x82371,x82372),a898)),x82373),x82374))
% 192.07/191.93 [8285]P2(f317(f317(f319(x82851),x82852),x82853))+P2(f317(f317(f319(x82851),x82852),x82854))+~P2(f317(f317(f319(x82851),x82852),f317(f317(f100(f910(x82851,a898)),x82854),x82853)))
% 192.07/191.93 [8295]~P52(x82951,x82954,x82953)+~P2(f317(f317(f319(x82951),x82952),x82954))+P2(f317(f317(f319(f909(x82951,x82951)),f317(f317(f242(x82951,x82951),x82952),x82952)),x82953))
% 192.07/191.93 [8307]~P2(f317(f29(x83072),x83074))+~P2(f317(f29(x83071),x83073))+P2(f317(f29(f909(x83071,x83072)),f317(f317(f244(x83071,x83072),x83073),f317(f18(f910(x83072,a898),x83071),x83074))))
% 192.07/191.93 [8308]~P2(f317(f317(f319(x83081),x83082),x83084))+~P2(f317(f317(f226(f910(x83081,a898)),x83083),x83084))+P2(f317(f317(f226(f910(x83081,a898)),f317(f317(f299(x83081),x83082),x83083)),x83084))
% 192.07/191.93 [8315]~P71(x83152)+~P145(x83152)+E(f317(f317(f11(x83151,x83152),f317(f317(f10(a903,x83152,x83151),f90(x83152)),x83153)),x83154),f317(f90(x83152),f317(f317(f11(x83151,a903),x83153),x83154)))
% 192.07/191.93 [8316]~P71(x83162)+~P141(x83162)+E(f317(f317(f11(x83161,x83162),f317(f317(f10(a1,x83162,x83161),f92(x83162)),x83163)),x83164),f317(f92(x83162),f317(f317(f11(x83161,a1),x83163),x83164)))
% 192.07/191.93 [8340]E(f317(f317(f3(f910(x83401,a898)),x83402),f317(f317(f3(f910(x83401,a898)),x83403),x83404)),x83404)+~P2(f317(f317(f226(f910(x83401,a898)),x83402),x83403))+~P2(f317(f317(f226(f910(x83401,a898)),x83404),x83402))
% 192.07/191.93 [8437]~P2(f317(f29(x84371),x84374))+E(f317(f317(f3(a903),f317(f317(f8(x84371,a903),x84372),x84373)),f317(f317(f8(x84371,a903),x84372),x84374)),f317(f317(f8(x84371,a903),x84372),f317(f317(f3(f910(x84371,a898)),x84373),x84374)))+~P2(f317(f317(f226(f910(x84371,a898)),x84374),x84373))
% 192.07/191.93 [8590]~P9(x85901,x85904,x85903)+~P2(f317(f317(f319(x85901),x85902),x85904))+P2(f317(f317(f319(x85901),x85902),f317(f275(x85901,x85901,x85903),f317(f317(f299(x85901),x85902),f178(f910(x85901,a898))))))
% 192.07/191.93 [8651]~P2(f317(f317(f226(f910(x86511,a898)),x86512),x86513))+~P2(f317(f317(f226(f910(x86511,a898)),x86512),x86514))+P2(f317(f317(f226(f910(x86511,a898)),x86512),f317(f317(f91(f910(x86511,a898)),x86513),x86514)))
% 192.07/191.93 [8753]E(x87531,f178(f910(x87532,a898)))+P2(f317(f29(x87533),x87534))+~P2(f317(f29(f909(x87533,x87532)),f317(f317(f244(x87533,x87532),x87534),f317(f18(f910(x87532,a898),x87533),x87531))))
% 192.07/191.93 [8754]E(x87541,f178(f910(x87542,a898)))+P2(f317(f29(x87543),x87544))+~P2(f317(f29(f909(x87542,x87543)),f317(f317(f244(x87542,x87543),x87541),f317(f18(f910(x87543,a898),x87542),x87544))))
% 192.07/191.93 [8827]P2(f317(f317(f319(x88271),x88272),f306(x88271,x88273)))+~P2(f317(f317(f319(x88271),x88274),f306(x88271,x88273)))+~P2(f317(f317(f319(f909(x88271,x88271)),f317(f317(f242(x88271,x88271),x88272),x88274)),x88273))
% 192.07/191.93 [8884]~P37(x88841,x88844)+P2(f317(f317(f319(f909(x88841,x88841)),f317(f317(f242(x88841,x88841),x88843),x88842)),f297(x88841,x88844)))+P37(x88841,f317(f317(f299(f909(x88841,x88841)),f317(f317(f242(x88841,x88841),x88842),x88843)),x88844))
% 192.07/191.93 [8885]~P57(x88851,x88854)+P2(f317(f317(f319(f909(x88851,x88851)),f317(f317(f242(x88851,x88851),x88853),x88852)),f297(x88851,x88854)))+P57(x88851,f317(f317(f299(f909(x88851,x88851)),f317(f317(f242(x88851,x88851),x88852),x88853)),x88854))
% 192.07/191.93 [8967]~E(x89672,x89673)+~P2(f317(f317(f319(x89671),x89672),f317(f162(x89671),x89674)))+P2(f317(f317(f319(f909(x89671,x89671)),f317(f317(f242(x89671,x89671),x89672),x89673)),f317(f162(f909(x89671,x89671)),f317(f317(f171(x89671,x89671),x89674),x89674))))
% 192.07/191.93 [9055]~E(x90553,x90554)+P2(f317(f317(f247(x90551,x90551,a898),a314),x90552))+~P2(f317(f317(f319(f909(x90551,x90551)),x90552),f317(f162(f909(x90551,x90551)),f317(f317(f171(x90551,x90551),x90553),x90554))))
% 192.07/191.93 [9099]P2(f317(f317(f319(f909(f904(x90991),f904(x90991))),f317(f317(f242(f904(x90991),f904(x90991)),x90992),x90993)),f137(x90991,x90994)))+~E(f317(f317(f165(x90991),f317(f179(f904(x90991)),x90992)),x90993),x90992)+~P2(f317(f317(f227(a903),f317(f179(f904(x90991)),x90992)),f317(f179(f904(x90991)),x90993)))
% 192.07/191.93 [9102]~P51(x91021,x91024)+~P2(f317(f317(f319(f909(x91021,x91021)),f317(f317(f242(x91021,x91021),x91023),x91022)),x91024))+P2(f317(f317(f319(f909(x91021,x91021)),f317(f317(f242(x91021,x91021),x91022),x91023)),x91024))
% 192.07/191.93 [9193]~P2(f317(f29(x91931),x91934))+P2(f317(f317(f319(x91931),f488(x91932,x91933,x91934,x91931)),x91934))+P2(f317(f29(x91933),f317(f317(f36(x91931,f910(x91933,a898)),x91934),x91932)))
% 192.07/191.93 [9194]~P2(f317(f29(x91941),x91944))+P2(f317(f317(f319(x91941),f665(x91942,x91943,x91944,x91941)),x91944))+P2(f317(f29(x91943),f317(f317(f36(x91941,f910(x91943,a898)),x91944),x91942)))
% 192.07/191.93 [9279]P2(f317(f317(f319(f909(x92791,x92791)),x92792),f317(f317(f279(x92791,x92791,x92791),x92793),f297(x92791,x92793))))+~P2(f317(f317(f227(a903),f2(a903)),x92794))+~P2(f317(f317(f319(f909(x92791,x92791)),x92792),f317(f317(f173(f909(x92791,x92791),a898),x92794),x92793)))
% 192.07/191.93 [9287]~P37(x92871,x92872)+~P2(f317(f317(f319(f909(x92871,x92871)),f317(f317(f242(x92871,x92871),x92874),x92873)),x92872))+~P2(f317(f317(f319(f909(x92871,x92871)),f317(f317(f242(x92871,x92871),x92873),x92874)),x92872))
% 192.07/191.93 [9417]~P2(f317(f29(x94171),x94174))+E(f317(f317(f8(x94171,a903),f317(f317(f10(f910(x94172,a898),a903,x94171),f30(x94172)),x94173)),x94174),f317(f30(f909(x94171,x94172)),f317(f317(f244(x94171,x94172),x94174),x94173)))+P2(f317(f317(f319(x94171),f537(x94173,x94172,x94174,x94171)),x94174))
% 192.07/191.93 [9421]~P2(f317(f127(x94211),x94212))+P2(f317(f127(x94211),f317(f317(f149(x94211,x94212),x94213),x94214)))+P2(f317(f317(f319(x94211),x94214),f317(f317(f3(f910(x94211,a898)),f317(f162(x94211),x94212)),f317(f317(f299(x94211),f317(f317(f154(x94211),x94212),x94213)),f178(f910(x94211,a898))))))
% 192.07/191.93 [9438]~P2(f317(f29(x94382),x94383))+~P2(f317(f29(x94381),f317(x94384,f488(x94384,x94381,x94383,x94382))))+P2(f317(f29(x94381),f317(f317(f36(x94382,f910(x94381,a898)),x94383),x94384)))
% 192.07/191.93 [9439]~P2(f317(f29(x94392),x94393))+~P2(f317(f29(x94391),f317(x94394,f665(x94394,x94391,x94393,x94392))))+P2(f317(f29(x94391),f317(f317(f36(x94392,f910(x94391,a898)),x94393),x94394)))
% 192.07/191.93 [9517]~P2(f317(f317(f319(f909(x95171,x95171)),x95172),f317(f317(f279(x95171,x95171,x95171),x95174),f297(x95171,x95174))))+P2(f317(f317(f319(f909(x95171,x95171)),x95172),f317(f317(f279(x95171,x95171,x95171),x95173),f297(x95171,x95173))))+~P2(f317(f317(f226(f910(f909(x95171,x95171),a898)),x95174),x95173))
% 192.07/191.93 [9527]E(f317(f317(f165(x95271),f584(x95274,x95273,x95272,x95271)),x95273),f317(f317(f165(x95271),f584(x95274,x95273,x95272,x95271)),x95272))+~P2(f317(f317(f319(f909(f904(x95271),f904(x95271))),f317(f317(f242(f904(x95271),f904(x95271)),x95272),x95273)),f137(x95271,x95274)))+E(f317(f317(f165(x95271),f317(f179(f904(x95271)),x95272)),x95273),x95272)
% 192.07/191.93 [9543]~P2(f317(f29(x95431),x95434))+E(f317(f317(f8(x95431,a903),f317(f317(f10(f910(x95432,a898),a903,x95431),f30(x95432)),x95433)),x95434),f317(f30(f909(x95431,x95432)),f317(f317(f244(x95431,x95432),x95434),x95433)))+~P2(f317(f29(x95432),f317(x95433,f537(x95433,x95432,x95434,x95431))))
% 192.07/191.93 [9547]~E(f317(f179(f904(x95471)),x95473),f317(f179(f904(x95471)),x95472))+P2(f317(f317(f319(f909(f904(x95471),f904(x95471))),f317(f317(f242(f904(x95471),f904(x95471)),x95472),x95473)),f148(x95471,x95474)))+P2(f317(f317(f319(f909(x95471,x95471)),f590(x95474,x95473,x95472,x95471)),f317(f162(f909(x95471,x95471)),f317(f317(f171(x95471,x95471),x95472),x95473))))
% 192.07/191.93 [9636]~P2(f317(f317(f319(f909(f904(x96361),f904(x96361))),f317(f317(f242(f904(x96361),f904(x96361)),x96362),x96363)),f137(x96361,x96364)))+E(f317(f317(f165(x96361),f317(f179(f904(x96361)),x96362)),x96363),x96362)+P2(f317(f317(f227(a903),f584(x96364,x96363,x96362,x96361)),f317(f317(f224(a903),f317(f179(f904(x96361)),x96362)),f317(f179(f904(x96361)),x96363))))
% 192.07/191.93 [9660]~P2(f317(f317(f319(f909(f904(x96601),f904(x96601))),f317(f317(f242(f904(x96601),f904(x96601)),x96602),x96603)),f137(x96601,x96604)))+P2(f317(f317(f227(a903),f317(f179(f904(x96601)),x96602)),f317(f179(f904(x96601)),x96603)))+P2(f317(f317(f227(a903),f584(x96604,x96603,x96602,x96601)),f317(f317(f224(a903),f317(f179(f904(x96601)),x96602)),f317(f179(f904(x96601)),x96603))))
% 192.07/191.93 [10063]~P2(f317(f317(f319(f909(f904(x100631),f904(x100631))),f317(f317(f242(f904(x100631),f904(x100631)),x100632),x100633)),f137(x100631,x100634)))+E(f317(f317(f165(x100631),f317(f179(f904(x100631)),x100632)),x100633),x100632)+P2(f317(f317(f319(f909(x100631,x100631)),f317(f317(f242(x100631,x100631),f317(f317(f154(x100631),x100632),f584(x100634,x100633,x100632,x100631))),f317(f317(f154(x100631),x100633),f584(x100634,x100633,x100632,x100631)))),x100634))
% 192.07/191.93 [10064]~P2(f317(f317(f319(f909(f904(x100641),f904(x100641))),f317(f317(f242(f904(x100641),f904(x100641)),x100642),x100643)),f137(x100641,x100644)))+P2(f317(f317(f227(a903),f317(f179(f904(x100641)),x100642)),f317(f179(f904(x100641)),x100643)))+P2(f317(f317(f319(f909(x100641,x100641)),f317(f317(f242(x100641,x100641),f317(f317(f154(x100641),x100642),f584(x100644,x100643,x100642,x100641))),f317(f317(f154(x100641),x100643),f584(x100644,x100643,x100642,x100641)))),x100644))
% 192.07/191.93 [10132]~E(f317(f179(f904(x101321)),x101322),f317(f179(f904(x101321)),x101323))+P2(f317(f317(f319(f909(f904(x101321),f904(x101321))),f317(f317(f242(f904(x101321),f904(x101321)),x101322),x101323)),f148(x101321,x101324)))+~P2(f317(f317(f319(f909(x101321,x101321)),f317(f317(f242(x101321,x101321),f317(f317(f154(x101321),x101322),f581(x101324,x101323,x101322,x101321))),f317(f317(f154(x101321),x101323),f581(x101324,x101323,x101322,x101321)))),x101324))
% 192.07/191.93 [10279]~P75(x102791)+~P2(f317(f29(x102792),x102794))+E(f317(f155(x102791),f317(f317(f144(x102792,x102791),x102793),f84(f904(x102792),f317(f317(f20(f904(x102792),a898,a898),f317(f317(f10(a898,f910(a898,a898),f904(x102792)),a315),f317(f317(f9(f904(x102792),f910(x102792,a898),a898),f317(f317(f10(f910(x102792,a898),f910(f910(x102792,a898),a898),f904(x102792)),a314),f162(x102792))),x102794))),f127(x102792))))),f221(x102792,x102791,x102793,x102794))
% 192.07/191.93 [7534]~P61(x75342)+E(x75341,f2(x75342))+E(f317(f317(f281(x75342),f317(f317(f74(x75342),x75343),f317(f317(f75(x75342),x75344),x75341))),x75341),f317(f317(f74(x75342),x75344),f317(f317(f281(x75342),x75343),x75341)))
% 192.07/191.93 [7535]~P4(x75352)+E(x75351,f2(x75352))+E(f317(f317(f31(x75352),f317(f317(f74(x75352),x75353),f317(f317(f75(x75352),x75354),x75351))),x75351),f317(f317(f74(x75352),x75354),f317(f317(f31(x75352),x75353),x75351)))
% 192.07/191.93 [7536]~P4(x75362)+E(x75361,f2(x75362))+E(f317(f317(f31(x75362),f317(f317(f74(x75362),x75363),f317(f317(f75(x75362),x75361),x75364))),x75361),f317(f317(f74(x75362),x75364),f317(f317(f31(x75362),x75363),x75361)))
% 192.07/191.93 [7764]~P62(x77642)+E(x77641,f2(x77642))+E(f317(f317(f281(x77642),f317(f317(f3(x77642),x77643),f317(f317(f75(x77642),x77641),x77644))),x77641),f317(f317(f3(x77642),f317(f317(f281(x77642),x77643),x77641)),x77644))
% 192.07/191.93 [7765]~P61(x77652)+E(x77651,f2(x77652))+E(f317(f317(f281(x77652),f317(f317(f74(x77652),x77653),f317(f317(f75(x77652),x77654),x77651))),x77651),f317(f317(f74(x77652),f317(f317(f281(x77652),x77653),x77651)),x77654))
% 192.07/191.93 [7766]~P62(x77662)+E(x77661,f2(x77662))+E(f317(f317(f281(x77662),f317(f317(f74(x77662),x77663),f317(f317(f75(x77662),x77661),x77664))),x77661),f317(f317(f74(x77662),f317(f317(f281(x77662),x77663),x77661)),x77664))
% 192.07/191.93 [8469]~P2(f317(f150(x84691,x84693),x84694))+~P2(f317(f150(x84691,x84692),x84694))+P2(f317(f150(x84691,f317(f317(f91(f910(x84691,a898)),x84692),x84693)),x84694))
% 192.07/191.93 [8842]~E(f317(f317(f279(x88421,x88421,x88421),x88422),x88424),f178(f910(f909(x88421,x88421),a898)))+~E(f317(f317(f279(x88421,x88421,x88421),x88422),x88423),f178(f910(f909(x88421,x88421),a898)))+E(f317(f317(f279(x88421,x88421,x88421),x88422),f317(f317(f100(f910(f909(x88421,x88421),a898)),x88423),x88424)),f178(f910(f909(x88421,x88421),a898)))
% 192.07/191.93 [8968]~P2(f317(f317(f226(f910(x89681,a898)),x89683),x89684))+~P2(f317(f317(f226(f910(x89681,a898)),x89682),x89684))+P2(f317(f317(f226(f910(x89681,a898)),f317(f317(f100(f910(x89681,a898)),x89682),x89683)),x89684))
% 192.07/191.93 [9343]~P2(f317(f29(x93431),x93434))+~P2(f317(f29(x93431),x93433))+E(f317(f317(f3(a903),f317(f317(f74(a903),f317(f317(f8(x93431,a903),x93432),x93433)),f317(f317(f8(x93431,a903),x93432),x93434))),f317(f317(f8(x93431,a903),x93432),f317(f317(f91(f910(x93431,a898)),x93433),x93434))),f317(f317(f8(x93431,a903),x93432),f317(f317(f100(f910(x93431,a898)),x93433),x93434)))
% 192.07/191.93 [9435]~P2(f317(f317(f319(x94351),x94353),x94352))+~P2(f317(f317(f226(f910(x94351,a898)),x94352),f317(f317(f299(x94351),x94353),x94354)))+P2(f317(f317(f226(f910(x94351,a898)),f317(f317(f3(f910(x94351,a898)),x94352),f317(f317(f299(x94351),x94353),f178(f910(x94351,a898))))),x94354))
% 192.07/191.93 [9611]~P2(f317(f317(f319(x96111),x96113),x96112))+P2(f317(f317(f226(f910(x96111,a898)),x96112),f317(f317(f299(x96111),x96113),x96114)))+~P2(f317(f317(f226(f910(x96111,a898)),f317(f317(f3(f910(x96111,a898)),x96112),f317(f317(f299(x96111),x96113),f178(f910(x96111,a898))))),x96114))
% 192.07/191.93 [9701]~P2(f317(f317(f226(a903),x97011),x97013))+~P2(f317(f317(f227(a903),x97012),x97014))+P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),f317(f317(f242(a903,a903),x97011),x97012)),f317(f317(f242(a903,a903),x97013),x97014))),a26))
% 192.07/191.93 [9702]~P2(f317(f317(f226(a903),x97022),x97024))+~P2(f317(f317(f226(a903),x97021),x97023))+P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),f317(f317(f242(a903,a903),x97021),x97022)),f317(f317(f242(a903,a903),x97023),x97024))),a65))
% 192.07/191.93 [9994]~P2(f317(f317(f319(f904(x99941)),x99944),f151(x99941,x99943)))+~P2(f317(f317(f319(f904(x99941)),x99944),f151(x99941,x99942)))+P2(f317(f150(x99941,f317(f317(f91(f910(x99941,a898)),f317(f317(f9(x99941,f910(x99941,a898),a898),f319(x99941)),x99942)),f317(f317(f9(x99941,f910(x99941,a898),a898),f319(x99941)),x99943))),x99944))
% 192.07/191.93 [10098]~P25(x100981,f910(f910(x100981,a898),a898),f317(f317(f9(x100981,f910(f909(x100981,x100981),a898),f910(f910(x100981,a898),a898)),f317(f317(f10(f910(x100981,a898),f910(f910(f909(x100981,x100981),a898),f910(f910(x100981,a898),a898)),x100981),f56(x100981)),f317(f317(f9(x100981,f910(x100981,a898),f910(x100981,a898)),f299(x100981)),f178(f910(x100981,a898))))),x100983),x100982)+~P2(f317(f317(f319(x100981),x100984),x100982))+E(f317(f317(f3(f910(f910(x100981,a898),a898)),f317(f317(f56(x100981),x100982),x100983)),f317(f317(f56(x100981),f317(f317(f299(x100981),x100984),f178(f910(x100981,a898)))),x100983)),f317(f317(f56(x100981),f317(f317(f3(f910(x100981,a898)),x100982),f317(f317(f299(x100981),x100984),f178(f910(x100981,a898))))),x100983))
% 192.07/191.93 [10233]~P52(x102331,x102332,x102334)+~P2(f317(f317(f319(f909(x102331,x102331)),x102333),x102334))+P2(f317(f317(f247(x102331,x102331,a898),f317(f317(f9(x102331,f910(x102331,a898),f910(x102331,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x102331,a898),f910(x102331,a898)),x102331),f10(a898,a898,x102331)),f317(f317(f10(a898,f910(a898,a898),x102331),a315),f317(f317(f9(x102331,f910(x102331,a898),a898),f319(x102331)),x102332)))),f317(f317(f9(x102331,f910(x102331,a898),a898),f319(x102331)),x102332))),x102333))
% 192.07/191.93 [10245]P2(f317(f29(x102451),x102452))+~P2(f317(f29(x102453),f317(f300(x102451,x102453,x102454),x102452)))+~P2(f317(f29(x102451),f317(f252(x102451),f317(f317(f20(x102451,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102451),a315),f317(f317(f9(x102451,f910(x102451,a898),a898),f319(x102451)),x102452))),f317(f317(f9(x102451,x102453,a898),f317(f317(f10(x102453,f910(x102453,a898),x102451),a314),x102454)),f317(x102454,f658(x102454,x102453,x102452,x102451)))))))
% 192.07/191.93 [8221]~P62(x82212)+E(x82211,f2(x82212))+E(f317(f317(f281(x82212),f317(f317(f3(x82212),f317(f317(f75(x82212),x82211),x82213)),x82214)),x82211),f317(f317(f3(x82212),x82213),f317(f317(f281(x82212),x82214),x82211)))
% 192.07/191.93 [8222]~P62(x82222)+E(x82221,f2(x82222))+E(f317(f317(f281(x82222),f317(f317(f74(x82222),f317(f317(f75(x82222),x82221),x82223)),x82224)),x82221),f317(f317(f74(x82222),x82223),f317(f317(f281(x82222),x82224),x82221)))
% 192.07/191.93 [9128]~E(f317(f317(f279(x91281,x91281,x91281),x91283),x91284),f178(f910(f909(x91281,x91281),a898)))+~E(f317(f317(f279(x91281,x91281,x91281),x91282),x91284),f178(f910(f909(x91281,x91281),a898)))+E(f317(f317(f279(x91281,x91281,x91281),f317(f317(f100(f910(f909(x91281,x91281),a898)),x91282),x91283)),x91284),f178(f910(f909(x91281,x91281),a898)))
% 192.07/191.93 [9911]~P2(f317(f150(x99111,x99113),x99114))+~P2(f317(f150(x99111,x99112),x99114))+P2(f317(f150(x99111,f317(f317(f20(x99111,a898,a898),f317(f317(f10(a898,f910(a898,a898),x99111),a315),x99112)),x99113)),x99114))
% 192.07/191.93 [10171]P2(f317(x101711,f542(x101712,x101713,x101711,x101714)))+~P2(f317(f29(x101714),f317(f252(x101714),x101711)))+P2(f317(f29(x101713),f317(f252(x101713),f317(f317(f10(f910(x101714,a898),a898,x101713),f81(x101714)),f317(f317(f10(f910(x101714,a898),f910(x101714,a898),x101713),f317(f20(x101714,a898,a898),f317(f317(f10(a898,f910(a898,a898),x101714),a315),x101711))),x101712)))))
% 192.07/191.93 [10189]~P2(f317(f29(x101892),f317(f252(x101892),x101893)))+~P2(f317(f29(x101891),f317(f252(x101891),f317(f317(f9(x101891,x101892,a898),x101894),f542(x101894,x101891,x101893,x101892)))))+P2(f317(f29(x101891),f317(f252(x101891),f317(f317(f10(f910(x101892,a898),a898,x101891),f81(x101892)),f317(f317(f10(f910(x101892,a898),f910(x101892,a898),x101891),f317(f20(x101892,a898,a898),f317(f317(f10(a898,f910(a898,a898),x101892),a315),x101893))),x101894)))))
% 192.07/191.93 [10258]~P2(f317(f29(x102581),x102584))+P2(f317(f317(f319(x102581),f778(x102582,x102583,x102584,x102581)),x102584))+P2(f317(f29(x102583),f317(f252(x102583),f317(f317(f10(f910(x102581,a898),a898,x102583),f81(x102581)),f317(f317(f10(f910(x102581,a898),f910(x102581,a898),x102583),f317(f20(x102581,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102581),a315),f317(f317(f9(x102581,f910(x102581,a898),a898),f319(x102581)),x102584)))),x102582)))))
% 192.07/191.93 [10264]~P2(f317(f29(x102642),x102643))+~P2(f317(f29(x102641),f317(f252(x102641),f317(f317(f9(x102641,x102642,a898),x102644),f778(x102644,x102641,x102643,x102642)))))+P2(f317(f29(x102641),f317(f252(x102641),f317(f317(f10(f910(x102642,a898),a898,x102641),f81(x102642)),f317(f317(f10(f910(x102642,a898),f910(x102642,a898),x102641),f317(f20(x102642,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102642),a315),f317(f317(f9(x102642,f910(x102642,a898),a898),f319(x102642)),x102643)))),x102644)))))
% 192.07/191.93 [5112]~E(x51122,x51124)+E(f159(x51121,x51122,x51123),f159(x51121,x51124,x51125))+~E(x51122,f2(a903))
% 192.07/191.93 [5359]E(x53591,x53592)+~E(f159(x53594,x53593,x53591),f159(x53594,x53595,x53592))+E(x53593,f2(a903))
% 192.07/191.93 [6656]E(x66561,x66562)+~E(f317(x66563,x66561),f317(x66563,x66562))+~P25(x66564,x66565,x66563,f232(f910(x66564,a898)))
% 192.07/191.93 [7566]E(x75661,x75662)+~P25(x75663,x75664,x75665,f232(f910(x75663,a898)))+~E(f317(f300(x75663,x75664,x75665),x75661),f317(f300(x75663,x75664,x75665),x75662))
% 192.07/191.93 [7819]P25(x78192,x78193,f622(x78194,x78193,x78192,x78191),x78191)+~E(f317(f300(x78193,x78192,x78195),x78194),x78191)+E(x78191,f178(f910(x78192,a898)))
% 192.07/191.93 [8351]~P2(f317(f317(x83513,x83512),x83515))+~P2(f317(f317(x83513,x83514),x83512))+P2(f317(f317(f319(x83511),x83512),f289(x83511,x83513,x83514,x83515)))
% 192.07/191.93 [8352]~P2(f317(f317(x83523,x83522),x83525))+~P2(f317(f317(x83523,x83524),x83522))+P2(f317(f317(f319(x83521),x83522),f280(x83521,x83523,x83524,x83525)))
% 192.07/191.93 [8659]~P25(x86591,x86592,x86593,x86594)+P26(x86591,x86592,x86593,x86594,x86595)+~E(f317(f300(x86591,x86592,x86593),x86594),x86595)
% 192.07/191.93 [8792]~P26(x87921,x87923,x87924,x87922,x87925)+~P2(f317(f29(x87923),x87925))+P2(f317(f29(x87921),x87922))
% 192.07/191.93 [8793]~P26(x87933,x87931,x87934,x87935,x87932)+~P2(f317(f29(x87933),x87935))+P2(f317(f29(x87931),x87932))
% 192.07/191.93 [8925]~P25(x89251,x89253,x89255,f232(f910(x89251,a898)))+~P25(x89253,x89252,x89254,f232(f910(x89253,a898)))+P25(x89251,x89252,f317(f67(x89253,x89252,x89251,x89254),x89255),f232(f910(x89251,a898)))
% 192.07/191.93 [9494]P2(f317(f317(f319(f909(x94941,x94941)),f317(f317(f242(x94941,x94941),x94942),x94943)),f297(x94941,x94944)))+~P2(f317(f317(f319(f909(x94941,x94941)),f317(f317(f242(x94941,x94941),x94942),x94945)),f297(x94941,x94944)))+~P2(f317(f317(f319(f909(x94941,x94941)),f317(f317(f242(x94941,x94941),x94945),x94943)),f297(x94941,x94944)))
% 192.07/191.93 [9534]~P108(x95342)+~P2(f317(f127(x95341),x95345))+P2(f317(f127(x95341),f139(x95341,x95342,x95343,x95344,x95345)))
% 192.07/191.93 [5438]~E(x54384,f103(x54381))+~E(x54385,f317(f317(f141(x54381),x54382),x54383))+E(f317(f317(f141(x54381),x54382),x54383),f317(f317(f124(x54381),x54384),x54385))
% 192.07/191.93 [5439]~E(x54394,f103(x54391))+~E(f317(f317(f141(x54391),x54392),x54393),x54395)+E(f317(f317(f141(x54391),x54392),x54393),f317(f317(f124(x54391),x54394),x54395))
% 192.07/191.93 [6612]~E(f317(f179(f904(x66121)),x66125),f317(f179(f904(x66122)),x66124))+E(f317(f317(f144(f909(x66121,x66122),x66122),f246(x66121,x66122)),x66123),x66124)+~E(f317(f317(f171(x66121,x66122),x66125),x66124),x66123)
% 192.07/191.93 [6613]~E(f317(f179(f904(x66131)),x66134),f317(f179(f904(x66132)),x66135))+E(f317(f317(f144(f909(x66131,x66132),x66131),f241(x66131,x66132)),x66133),x66134)+~E(f317(f317(f171(x66131,x66132),x66134),x66135),x66133)
% 192.07/191.93 [7102]~P108(x71021)+~P14(x71021,f317(f317(f144(x71022,x71021),x71023),x71025))+P14(x71021,f317(f317(f144(x71022,x71021),x71023),f317(f126(x71022,x71024),x71025)))
% 192.07/191.93 [7244]~P108(x72441)+P14(x72441,f317(f317(f144(x72442,x72441),x72443),f160(x72442,x72444,x72445)))+~P14(x72441,f317(f317(f144(x72442,x72441),x72443),x72445))
% 192.07/191.93 [7267]~P54(x72673,x72672,x72675)+~P54(x72671,x72673,x72674)+P54(x72671,x72672,f317(f317(f279(x72671,x72673,x72672),x72674),x72675))
% 192.07/191.93 [7362]E(x73621,x73622)+~P25(x73623,x73624,x73625,f232(f910(x73623,a898)))+~E(f317(f317(f144(x73623,x73624),x73625),x73621),f317(f317(f144(x73623,x73624),x73625),x73622))
% 192.07/191.93 [7521]~P2(f317(f317(f226(a903),x75211),f317(x75213,x75215)))+P2(f317(f317(f226(a903),x75211),f145(x75212,x75213,x75214)))+~P2(f317(f317(f319(x75212),x75215),f317(f162(x75212),x75214)))
% 192.07/191.93 [7522]~P2(f317(f317(f227(a903),x75221),f317(x75223,x75225)))+P2(f317(f317(f227(a903),x75221),f145(x75222,x75223,x75224)))+~P2(f317(f317(f319(x75222),x75225),f317(f162(x75222),x75224)))
% 192.07/191.93 [7916]P2(f317(x79161,x79162))+~P2(f317(x79161,x79163))+~P2(f317(f317(f319(x79164),x79162),f317(f162(x79164),f159(x79164,x79165,x79163))))
% 192.07/191.93 [7917]P2(f317(x79171,x79172))+~P2(f317(x79171,x79173))+~P2(f317(f317(f319(x79174),x79173),f317(f162(x79174),f159(x79174,x79175,x79172))))
% 192.07/191.93 [7922]~P109(x79221)+P2(f317(f317(f226(f910(x79221,a898)),f293(x79221,x79222,x79223)),f293(x79221,x79224,x79225)))+P2(f317(f317(f226(x79221),x79222),x79223))
% 192.07/191.93 [7943]~P6(x79431)+P2(f317(f317(f226(x79431),f317(f317(f35(x79432,x79431),x79433),x79434)),f317(x79434,x79435)))+~P2(f317(f317(f319(x79432),x79435),x79433))
% 192.07/191.93 [8012]~P25(x80121,x80122,x80124,x80123)+E(f317(f71(x80121,x80122,x80123,x80124),f317(x80124,x80125)),x80125)+~P2(f317(f317(f319(x80121),x80125),x80123))
% 192.07/191.93 [8013]~P25(x80131,x80132,x80134,x80133)+E(f317(f85(x80131,x80132,x80133,x80134),f317(x80134,x80135)),x80135)+~P2(f317(f317(f319(x80131),x80135),x80133))
% 192.07/191.93 [8210]~P2(f317(x82101,x82105))+P2(f317(x82101,f342(x82101,x82102,x82103,x82104)))+~P2(f317(f317(f319(x82104),x82105),x82103))
% 192.07/191.93 [8211]~P2(f317(x82111,x82115))+P2(f317(x82111,f342(x82111,x82112,x82113,x82114)))+~P2(f317(f317(f319(x82114),x82115),x82112))
% 192.07/191.93 [8305]P2(f317(f29(x83051),x83052))+~P2(f317(f29(x83053),x83054))+~P2(f317(f317(f226(f910(x83051,a898)),x83052),f317(f300(x83053,x83051,x83055),x83054)))
% 192.07/191.93 [8473]E(x84731,x84732)+~P25(x84733,x84734,x84735,f317(f317(f100(f910(x84733,a898)),f317(f162(x84733),x84731)),f317(f162(x84733),x84732)))+~E(f317(f317(f144(x84733,x84734),x84735),x84731),f317(f317(f144(x84733,x84734),x84735),x84732))
% 192.07/191.93 [8527]~P109(x85271)+~P2(f317(f317(f227(f910(x85271,a898)),f293(x85271,x85274,x85275)),f293(x85271,x85272,x85273)))+P2(f317(f317(f226(x85271),x85272),x85273))
% 192.07/191.93 [8589]~P25(x85891,x85894,x85895,f232(f910(x85891,a898)))+~P2(f317(f317(f319(x85894),f317(x85895,x85892)),f317(f300(x85891,x85894,x85895),x85893)))+P2(f317(f317(f319(x85891),x85892),x85893))
% 192.07/191.93 [8665]P2(f317(x86651,x86652))+~P2(f317(x86651,f359(x86651,x86653,x86654,x86655)))+~P2(f317(f317(f319(x86655),x86652),x86654))
% 192.07/191.93 [8666]P2(f317(x86661,x86662))+~P2(f317(x86661,f359(x86661,x86663,x86664,x86665)))+~P2(f317(f317(f319(x86665),x86662),x86663))
% 192.07/191.93 [8965]~P25(x89652,x89653,x89651,x89654)+E(f317(x89651,f317(f71(x89652,x89653,x89654,x89651),x89655)),x89655)+~P2(f317(f317(f319(x89653),x89655),f317(f300(x89652,x89653,x89651),x89654)))
% 192.07/191.93 [9068]E(x90681,f103(x90682))+E(f317(f317(f141(x90682),x90683),f565(x90684,x90683,x90685,x90681,x90682)),x90681)+~E(f317(f317(f141(x90682),x90683),x90684),f317(f317(f124(x90682),x90681),x90685))
% 192.07/191.93 [9069]E(x90691,f103(x90692))+E(f317(f317(f141(x90692),x90693),f566(x90694,x90691,x90695,x90693,x90692)),x90691)+~E(f317(f317(f141(x90692),x90693),x90695),f317(f317(f124(x90692),x90691),x90694))
% 192.07/191.93 [9087]E(f317(f317(f141(x90872),x90873),f565(x90874,x90873,x90871,x90875,x90872)),x90875)+~E(f317(f317(f141(x90872),x90873),x90874),f317(f317(f124(x90872),x90875),x90871))+E(x90871,f317(f317(f141(x90872),x90873),x90874))
% 192.07/191.93 [9088]E(f317(f317(f141(x90881),x90882),f566(x90884,x90885,x90883,x90882,x90881)),x90885)+~E(f317(f317(f141(x90881),x90882),x90883),f317(f317(f124(x90881),x90885),x90884))+E(f317(f317(f141(x90881),x90882),x90883),x90884)
% 192.07/191.93 [9164]~E(f317(f300(x91643,x91642,x91644),f232(f910(x91643,a898))),f232(f910(x91642,a898)))+~E(f317(f300(x91641,x91643,x91645),f232(f910(x91641,a898))),f232(f910(x91643,a898)))+E(f317(f300(x91641,x91642,f317(f67(x91643,x91642,x91641,x91644),x91645)),f232(f910(x91641,a898))),f232(f910(x91642,a898)))
% 192.07/191.93 [9400]E(f317(f300(x94001,x94002,x94003),f383(x94004,x94003,x94001,x94005,x94002)),x94005)+~P2(f317(f29(x94002),x94005))+~P2(f317(f317(f226(f910(x94002,a898)),x94005),f317(f300(x94001,x94002,x94003),x94004)))
% 192.07/191.93 [9540]E(x95401,f103(x95402))+~E(f317(f317(f141(x95402),x95405),x95404),f317(f317(f124(x95402),x95401),x95403))+E(f317(f317(f124(x95402),f566(x95403,x95401,x95404,x95405,x95402)),x95403),x95404)
% 192.07/191.93 [9541]E(x95411,f103(x95412))+~E(f317(f317(f141(x95412),x95414),x95413),f317(f317(f124(x95412),x95411),x95415))+E(f317(f317(f124(x95412),f565(x95413,x95414,x95415,x95411,x95412)),x95415),x95413)
% 192.07/191.93 [9548]E(f317(f317(f124(x95482),f565(x95484,x95483,x95481,x95485,x95482)),x95481),x95484)+~E(f317(f317(f141(x95482),x95483),x95484),f317(f317(f124(x95482),x95485),x95481))+E(x95481,f317(f317(f141(x95482),x95483),x95484))
% 192.07/191.93 [9549]~E(f317(f317(f141(x95491),x95492),x95493),f317(f317(f124(x95491),x95495),x95494))+E(f317(f317(f124(x95491),f566(x95494,x95495,x95493,x95492,x95491)),x95494),x95493)+E(f317(f317(f141(x95491),x95492),x95493),x95494)
% 192.07/191.93 [9550]E(f317(f317(f124(x95501),x95505),f553(x95503,x95502,x95504,x95505,x95501)),x95502)+E(f317(f317(f124(x95501),x95502),f552(x95503,x95502,x95504,x95505,x95501)),x95505)+~E(f317(f317(f124(x95501),x95505),x95504),f317(f317(f124(x95501),x95502),x95503))
% 192.07/191.93 [9587]~P108(x95871)+P14(x95871,f317(f317(f144(x95872,x95871),x95873),f139(x95872,x95871,x95873,x95874,x95875)))+~P14(x95871,f317(f317(f144(x95872,x95871),x95873),x95875))
% 192.07/191.93 [9606]~P58(x96065,x96061,x96064,x96063)+P2(f317(f317(x96061,x96062),f529(x96063,x96064,x96061,x96065,x96062)))+~P2(f317(f317(f319(x96065),x96062),x96064))
% 192.07/191.93 [9607]~P58(x96075,x96071,x96074,x96073)+P2(f317(f317(x96071,x96072),f782(x96073,x96074,x96071,x96075,x96072)))+~P2(f317(f317(f319(x96075),x96072),x96074))
% 192.07/191.93 [9661]~P2(f317(f29(x96615),x96614))+P2(f317(f29(x96611),f383(x96612,x96613,x96611,x96614,x96615)))+~P2(f317(f317(f226(f910(x96615,a898)),x96614),f317(f300(x96611,x96615,x96613),x96612)))
% 192.07/191.93 [9713]~P2(f317(f317(f319(f909(x97131,x97131)),f317(f317(f242(x97131,x97131),x97135),x97133)),f297(x97131,x97134)))+P2(f317(f317(f319(f909(x97131,x97131)),f317(f317(f242(x97131,x97131),x97132),x97133)),f317(f317(f279(x97131,x97131,x97131),x97134),f297(x97131,x97134))))+~P2(f317(f317(f319(f909(x97131,x97131)),f317(f317(f242(x97131,x97131),x97132),x97135)),f317(f317(f279(x97131,x97131,x97131),x97134),f297(x97131,x97134))))
% 192.07/191.93 [9714]~P2(f317(f317(f319(f909(x97141,x97141)),f317(f317(f242(x97141,x97141),x97142),x97145)),f297(x97141,x97144)))+P2(f317(f317(f319(f909(x97141,x97141)),f317(f317(f242(x97141,x97141),x97142),x97143)),f317(f317(f279(x97141,x97141,x97141),x97144),f297(x97141,x97144))))+~P2(f317(f317(f319(f909(x97141,x97141)),f317(f317(f242(x97141,x97141),x97145),x97143)),f317(f317(f279(x97141,x97141,x97141),x97144),f297(x97141,x97144))))
% 192.07/191.93 [9716]P2(f317(f317(f319(f909(f904(x97161),f904(x97161))),f317(f317(f242(f904(x97161),f904(x97161)),x97162),x97163)),f148(x97161,f297(x97161,x97164))))+~P2(f317(f317(f319(f909(f904(x97161),f904(x97161))),f317(f317(f242(f904(x97161),f904(x97161)),x97162),x97165)),f148(x97161,f297(x97161,x97164))))+~P2(f317(f317(f319(f909(f904(x97161),f904(x97161))),f317(f317(f242(f904(x97161),f904(x97161)),x97165),x97163)),f148(x97161,f297(x97161,x97164))))
% 192.07/191.93 [9720]E(f317(f317(f124(x97201),x97202),f552(x97203,x97202,x97204,x97205,x97201)),x97205)+E(f317(f317(f124(x97201),f553(x97203,x97202,x97204,x97205,x97201)),x97203),x97204)+~E(f317(f317(f124(x97201),x97202),x97203),f317(f317(f124(x97201),x97205),x97204))
% 192.07/191.93 [9721]E(f317(f317(f124(x97211),x97212),f553(x97213,x97214,x97215,x97212,x97211)),x97214)+E(f317(f317(f124(x97211),f552(x97213,x97214,x97215,x97212,x97211)),x97215),x97213)+~E(f317(f317(f124(x97211),x97212),x97215),f317(f317(f124(x97211),x97214),x97213))
% 192.07/191.93 [9775]P2(f317(f317(f319(f909(x97751,x97751)),f317(f317(f242(x97751,x97751),x97752),x97753)),f317(f317(f279(x97751,x97751,x97751),x97754),f297(x97751,x97754))))+~P2(f317(f317(f319(f909(x97751,x97751)),f317(f317(f242(x97751,x97751),x97752),x97755)),f317(f317(f279(x97751,x97751,x97751),x97754),f297(x97751,x97754))))+~P2(f317(f317(f319(f909(x97751,x97751)),f317(f317(f242(x97751,x97751),x97755),x97753)),f317(f317(f279(x97751,x97751,x97751),x97754),f297(x97751,x97754))))
% 192.07/191.93 [9802]P34(x98021,x98022,x98023,x98024,x98025)+~E(f317(f179(f904(x98021)),x98024),f317(f179(f904(x98022)),x98025))+~P2(f317(f317(f247(x98021,x98022,a898),x98023),f617(x98025,x98024,x98023,x98022,x98021)))
% 192.07/191.93 [9803]P34(x98031,x98032,x98033,x98034,x98035)+~E(f317(f179(f904(x98031)),x98034),f317(f179(f904(x98032)),x98035))+~P2(f317(f317(f247(x98031,x98032,a898),x98033),f618(x98033,x98035,x98034,x98032,x98031)))
% 192.07/191.93 [9808]E(f317(f317(f124(x98081),f552(x98082,x98083,x98084,x98085,x98081)),x98084),x98082)+~E(f317(f317(f124(x98081),x98083),x98082),f317(f317(f124(x98081),x98085),x98084))+E(f317(f317(f124(x98081),f553(x98082,x98083,x98084,x98085,x98081)),x98082),x98084)
% 192.07/191.93 [9823]~P108(x98232)+E(f317(f317(f138(x98231,x98232,x98233),x98234),x98235),f317(f317(f141(x98231),x98234),x98235))+P2(f317(f317(f319(x98231),f677(x98234,x98233,x98235,x98231,x98232)),f317(f162(x98231),x98235)))
% 192.07/191.93 [9827]~P58(x98271,x98274,x98273,x98272)+~P2(f317(f317(f319(x98271),x98275),x98273))+P2(f317(f317(f319(x98271),f529(x98272,x98273,x98274,x98271,x98275)),x98272))
% 192.07/191.93 [9828]~P58(x98281,x98284,x98283,x98282)+~P2(f317(f317(f319(x98281),x98285),x98283))+P2(f317(f317(f319(x98281),f782(x98282,x98283,x98284,x98281,x98285)),x98282))
% 192.07/191.93 [9883]~P2(f317(f29(x98835),x98834))+~P2(f317(f317(f226(f910(x98835,a898)),x98834),f317(f300(x98831,x98835,x98833),x98832)))+P2(f317(f317(f226(f910(x98831,a898)),f383(x98832,x98833,x98831,x98834,x98835)),x98832))
% 192.07/191.93 [9944]~P2(f317(f317(f319(f909(f910(x99441,a898),f910(x99441,a898))),f317(f317(f242(f910(x99441,a898),f910(x99441,a898)),x99444),x99443)),f309(x99441,x99442)))+~P2(f317(f317(f319(x99441),x99445),x99444))+P2(f317(f317(f319(x99441),f693(x99442,x99443,x99444,x99441,x99445)),x99443))
% 192.07/191.93 [9954]~P108(x99542)+E(f317(f317(f138(x99541,x99542,x99543),x99544),x99545),f317(f317(f141(x99541),x99544),x99545))+~P2(f317(f317(f226(x99542),f317(x99543,x99544)),f317(x99543,f677(x99544,x99543,x99545,x99541,x99542))))
% 192.07/191.93 [10003]~P25(x100033,x100034,x100035,f232(f910(x100033,a898)))+P2(f317(x100031,x100032))+~P2(f317(x100031,f317(f85(x100033,x100034,f232(f910(x100033,a898)),x100035),f797(x100032,x100031,x100035,x100034,x100033))))
% 192.07/191.93 [10149]P34(x101491,x101492,x101493,x101494,x101495)+~E(f317(f179(f904(x101491)),x101494),f317(f179(f904(x101492)),x101495))+~P2(f317(f317(x101493,f317(f317(f154(x101491),x101494),f619(x101495,x101494,x101493,x101492,x101491))),f317(f317(f154(x101492),x101495),f619(x101495,x101494,x101493,x101492,x101491))))
% 192.07/191.93 [10150]P34(x101501,x101502,x101503,x101504,x101505)+~E(f317(f179(f904(x101501)),x101504),f317(f179(f904(x101502)),x101505))+~P2(f317(f317(x101503,f317(f317(f154(x101501),x101504),f671(x101503,x101505,x101502,x101504,x101501))),f317(f317(f154(x101502),x101505),f671(x101503,x101505,x101502,x101504,x101501))))
% 192.07/191.93 [6687]~P18(x66872,x66875,x66871)+~P2(f317(f29(x66872),x66874))+E(f317(x66871,f317(f317(f299(x66872),x66873),x66874)),f317(f317(f59(x66872,x66872,x66875),x66873),x66874))
% 192.07/191.93 [6688]~E(x66883,x66884)+~E(x66882,x66885)+E(f317(f317(f299(x66881),x66882),f317(f317(f299(x66881),x66883),f178(f910(x66881,a898)))),f317(f317(f299(x66881),x66884),f317(f317(f299(x66881),x66885),f178(f910(x66881,a898)))))
% 192.07/191.93 [6699]P2(f317(x66992,x66995))+E(f167(x66991,x66992,f317(f317(f124(x66991),x66993),x66994)),f167(x66991,x66992,x66993))+~P2(f317(f317(f319(x66991),x66995),f317(f162(x66991),x66993)))
% 192.07/191.93 [6737]E(f317(x67371,x67372),f178(f910(x67373,a898)))+~E(f317(f317(f36(x67374,f910(x67373,a898)),x67375),x67371),f178(f910(x67373,a898)))+~P2(f317(f317(f319(x67374),x67372),x67375))
% 192.07/191.93 [6738]E(f317(x67381,x67382),f232(f910(x67383,a898)))+~E(f317(f317(f35(x67384,f910(x67383,a898)),x67385),x67381),f232(f910(x67383,a898)))+~P2(f317(f317(f319(x67384),x67382),x67385))
% 192.07/191.93 [7254]~E(x72542,x72544)+~P143(x72541)+E(f317(f317(f74(x72541),f317(f317(f75(x72541),x72542),x72543)),f317(f317(f75(x72541),x72544),x72545)),f317(f317(f74(x72541),f317(f317(f75(x72541),x72542),x72545)),f317(f317(f75(x72541),x72544),x72543)))
% 192.07/191.93 [7316]~P6(x73161)+~P2(f317(f317(f319(x73164),x73163),x73165))+P2(f317(f317(f226(x73161),f317(x73162,x73163)),f317(f317(f36(x73164,x73161),x73165),x73162)))
% 192.07/191.93 [7367]~P107(x73671)+P2(f317(f317(f226(x73671),f317(x73672,x73673)),f317(x73674,x73673)))+~P2(f317(f317(f226(f910(x73675,x73671)),x73672),x73674))
% 192.07/191.93 [7490]E(x74901,x74902)+E(x74903,x74901)+~E(f317(f317(f299(x74904),x74901),f317(f317(f299(x74904),x74905),f178(f910(x74904,a898)))),f317(f317(f299(x74904),x74902),f317(f317(f299(x74904),x74903),f178(f910(x74904,a898)))))
% 192.07/191.93 [7491]E(x74911,x74912)+E(x74913,x74911)+~E(f317(f317(f299(x74914),x74913),f317(f317(f299(x74914),x74912),f178(f910(x74914,a898)))),f317(f317(f299(x74914),x74915),f317(f317(f299(x74914),x74911),f178(f910(x74914,a898)))))
% 192.07/191.93 [7492]E(x74921,x74922)+E(x74921,x74923)+~E(f317(f317(f299(x74924),x74923),f317(f317(f299(x74924),x74922),f178(f910(x74924,a898)))),f317(f317(f299(x74924),x74925),f317(f317(f299(x74924),x74921),f178(f910(x74924,a898)))))
% 192.07/191.93 [7493]E(x74931,x74932)+E(x74931,x74933)+~E(f317(f317(f299(x74934),x74931),f317(f317(f299(x74934),x74935),f178(f910(x74934,a898)))),f317(f317(f299(x74934),x74932),f317(f317(f299(x74934),x74933),f178(f910(x74934,a898)))))
% 192.07/191.93 [8022]P25(x80221,x80222,x80223,x80224)+~P25(x80221,x80222,x80223,x80225)+~P2(f317(f317(f226(f910(x80221,a898)),x80224),x80225))
% 192.07/191.93 [8052]~E(f317(x80523,x80525),x80524)+~P25(x80521,x80522,x80523,f232(f910(x80521,a898)))+E(f317(f85(x80521,x80522,f232(f910(x80521,a898)),x80523),x80524),x80525)
% 192.07/191.93 [8198]E(x81981,x81982)+~E(f317(f300(x81983,x81984,x81985),x81981),f317(f300(x81983,x81984,x81985),x81982))+~P25(x81983,x81984,x81985,f317(f317(f100(f910(x81983,a898)),x81981),x81982))
% 192.07/191.93 [8275]P2(f317(x82752,x82754))+E(f317(f317(f128(x82751),f317(f179(f904(x82751)),f167(x82751,x82752,x82753))),x82753),f317(f317(f141(x82751),x82754),x82755))+~E(f317(f317(f124(x82751),f167(x82751,x82752,x82753)),f317(f317(f141(x82751),x82754),x82755)),x82753)
% 192.07/191.93 [8303]~P25(x83031,x83032,x83033,x83035)+~P25(x83031,x83032,x83033,x83034)+P25(x83031,x83032,x83033,f317(f317(f91(f910(x83031,a898)),x83034),x83035))
% 192.07/191.93 [8411]~P75(x84111)+E(f317(f317(f74(x84111),f317(x84112,x84113)),f317(f155(x84111),f317(f317(f144(x84114,x84111),x84112),f160(x84114,x84113,x84115)))),f317(f155(x84111),f317(f317(f144(x84114,x84111),x84112),x84115)))+~P2(f317(f317(f319(x84114),x84113),f317(f162(x84114),x84115)))
% 192.07/191.93 [8499]~P108(x84991)+~P14(x84991,f317(f317(f144(x84992,x84991),x84993),x84995))+P14(x84991,f317(f317(f144(x84992,x84991),x84993),f317(f317(f138(x84992,x84991,x84993),x84994),x84995)))
% 192.07/191.93 [8585]~P6(x85851)+P2(f317(f317(f226(x85851),f317(f317(f35(x85852,x85851),x85853),x85854)),f317(f317(f35(x85852,x85851),x85855),x85854)))+~P2(f317(f317(f226(f910(x85852,a898)),x85855),x85853))
% 192.07/191.93 [8586]~P6(x85861)+P2(f317(f317(f226(x85861),f317(f317(f36(x85862,x85861),x85863),x85864)),f317(f317(f36(x85862,x85861),x85865),x85864)))+~P2(f317(f317(f226(f910(x85862,a898)),x85863),x85865))
% 192.07/191.93 [8619]~P108(x86193)+P2(f317(f127(x86191),x86192))+~P2(f317(f127(x86191),f317(f317(f138(x86191,x86193,x86194),x86195),x86192)))
% 192.07/191.93 [8764]~P108(x87641)+~P2(f317(f317(f319(x87642),x87643),f317(f162(x87642),x87644)))+~P2(f317(f127(x87642),f317(f317(f138(x87642,x87641,x87645),x87643),x87644)))
% 192.07/191.93 [8854]~P108(x88541)+P14(x88541,f317(f317(f144(x88542,x88541),x88543),x88544))+~P14(x88541,f317(f317(f144(x88542,x88541),x88543),f317(f317(f138(x88542,x88541,x88543),x88545),x88544)))
% 192.07/191.93 [8900]~P25(x89002,x89001,x89004,x89003)+E(f317(f300(x89001,x89002,f85(x89002,x89001,x89003,x89004)),f317(f300(x89002,x89001,x89004),x89005)),x89005)+~P2(f317(f317(f226(f910(x89002,a898)),x89005),x89003))
% 192.07/191.93 [8953]~P108(x89532)+E(f317(f317(f138(x89531,x89532,x89533),x89534),x89535),f139(x89531,x89532,x89533,x89534,x89535))+P2(f317(f317(f319(x89532),f317(x89533,x89534)),f317(f300(x89531,x89532,x89533),f317(f162(x89531),x89535))))
% 192.07/191.93 [9034]~P108(x90342)+E(f139(x90341,x90342,x90343,x90344,x90345),x90345)+~P2(f317(f317(f319(x90342),f317(x90343,x90344)),f317(f300(x90341,x90342,x90343),f317(f162(x90341),x90345))))
% 192.07/191.93 [9048]~P25(x90482,x90481,x90483,x90485)+P2(f317(f317(f227(f910(x90481,a898)),f317(f300(x90482,x90481,x90483),x90484)),f317(f300(x90482,x90481,x90483),x90485)))+~P2(f317(f317(f227(f910(x90482,a898)),x90484),x90485))
% 192.07/191.93 [9205]~P25(x92051,x92052,x92053,f232(f910(x92051,a898)))+~P2(f317(f317(f226(f910(x92052,a898)),x92054),f317(f300(x92051,x92052,x92053),x92055)))+P2(f317(f317(f226(f910(x92051,a898)),f317(f301(x92051,x92052,x92053),x92054)),x92055))
% 192.07/191.93 [9228]~E(f317(f300(x92283,x92281,x92284),f232(f910(x92283,a898))),f232(f910(x92281,a898)))+P2(f317(f317(f226(f910(x92281,a898)),x92282),f317(f300(x92283,x92281,x92284),x92285)))+~P2(f317(f317(f226(f910(x92283,a898)),f317(f301(x92283,x92281,x92284),x92282)),x92285))
% 192.07/191.93 [9335]~P25(x93351,x93354,x93355,f232(f910(x93351,a898)))+~P2(f317(f317(f226(f910(x93354,a898)),f317(f300(x93351,x93354,x93355),x93352)),f317(f300(x93351,x93354,x93355),x93353)))+P2(f317(f317(f226(f910(x93351,a898)),x93352),x93353))
% 192.07/191.93 [9462]~P82(x94621)+~E(f317(x94623,f640(x94623,x94624,x94625,x94622,x94621)),f2(x94621))+E(f317(f155(x94621),f317(f317(f144(x94622,x94621),x94623),f317(f126(x94622,x94624),x94625))),f317(f155(x94621),f317(f317(f144(x94622,x94621),x94623),x94625)))
% 192.07/191.93 [9489]~P26(x94891,x94892,x94893,f232(f910(x94891,a898)),f232(f910(x94892,a898)))+~P2(f317(f317(f226(f910(x94892,a898)),x94894),f317(f300(x94891,x94892,x94893),x94895)))+P2(f317(f317(f226(f910(x94891,a898)),f317(f301(x94891,x94892,x94893),x94894)),x94895))
% 192.07/191.93 [9518]~P26(x95183,x95181,x95184,f232(f910(x95183,a898)),f232(f910(x95181,a898)))+P2(f317(f317(f226(f910(x95181,a898)),x95182),f317(f300(x95183,x95181,x95184),x95185)))+~P2(f317(f317(f226(f910(x95183,a898)),f317(f301(x95183,x95181,x95184),x95182)),x95185))
% 192.07/191.93 [9653]~P17(x96531,x96532,x96533)+~P2(f317(f29(x96531),x96535))+P2(f317(f61(x96531,x96532,x96533,x96534,x96535),f317(f317(f59(x96531,x96532,x96533),x96534),x96535)))
% 192.07/191.93 [9733]~P26(x97332,x97331,x97334,f232(f910(x97332,a898)),f232(f910(x97331,a898)))+~P26(x97331,x97333,x97335,f232(f910(x97331,a898)),f232(f910(x97333,a898)))+E(f317(f67(x97331,x97332,x97333,f85(x97332,x97331,f232(f910(x97332,a898)),x97334)),f85(x97331,x97333,f232(f910(x97331,a898)),x97335)),f85(x97332,x97333,f232(f910(x97332,a898)),f317(f67(x97331,x97333,x97332,x97335),x97334)))
% 192.07/191.93 [9734]P2(f317(x97341,f742(x97342,x97341,x97343,x97344,x97345)))+~P2(f317(f317(f226(f910(x97345,a898)),x97344),x97343))+P2(f317(f317(f226(f910(x97345,a898)),f317(f317(f91(f910(x97345,a898)),x97344),f317(f252(x97345),x97341))),f317(f317(f91(f910(x97345,a898)),x97343),f317(f252(x97345),x97342))))
% 192.07/191.93 [9748]~P82(x97481)+~P2(f317(x97484,f640(x97483,x97484,x97485,x97482,x97481)))+E(f317(f155(x97481),f317(f317(f144(x97482,x97481),x97483),f317(f126(x97482,x97484),x97485))),f317(f155(x97481),f317(f317(f144(x97482,x97481),x97483),x97485)))
% 192.07/191.93 [9825]~P6(x98255)+P2(f317(f317(f319(x98251),f493(x98252,x98253,x98251,x98254,x98255)),x98253))+P2(f317(f317(f226(x98255),x98254),f317(f317(f35(x98251,x98255),x98253),x98252)))
% 192.07/191.93 [9829]~P82(x98291)+E(f317(f155(x98291),f317(f317(f144(x98292,x98291),x98293),f317(f126(x98292,x98294),x98295))),f317(f155(x98291),f317(f317(f144(x98292,x98291),x98293),x98295)))+P2(f317(f317(f319(x98292),f640(x98293,x98294,x98295,x98292,x98291)),f317(f162(x98292),x98295)))
% 192.07/191.93 [9839]~P2(f317(x98395,f742(x98395,x98393,x98394,x98392,x98391)))+~P2(f317(f317(f226(f910(x98391,a898)),x98392),x98394))+P2(f317(f317(f226(f910(x98391,a898)),f317(f317(f91(f910(x98391,a898)),x98392),f317(f252(x98391),x98393))),f317(f317(f91(f910(x98391,a898)),x98394),f317(f252(x98391),x98395))))
% 192.07/191.93 [9855]~P25(x98555,x98553,x98554,f232(f910(x98555,a898)))+P2(f317(x98551,x98552))+P2(f317(f317(f319(x98553),f797(x98552,x98551,x98554,x98553,x98555)),f317(f300(x98555,x98553,x98554),f232(f910(x98555,a898)))))
% 192.07/191.93 [9879]P34(x98791,x98792,x98793,x98794,x98795)+~E(f317(f179(f904(x98792)),x98795),f317(f179(f904(x98791)),x98794))+P2(f317(f317(f227(a903),f619(x98795,x98794,x98793,x98792,x98791)),f317(f179(f904(x98791)),x98794)))
% 192.07/191.93 [9880]P34(x98801,x98802,x98803,x98804,x98805)+~E(f317(f179(f904(x98802)),x98805),f317(f179(f904(x98801)),x98804))+P2(f317(f317(f227(a903),f671(x98803,x98805,x98802,x98804,x98801)),f317(f179(f904(x98801)),x98804)))
% 192.07/191.93 [9912]P2(f317(f317(f319(x99121),f742(x99122,x99123,x99124,x99125,x99121)),x99125))+~P2(f317(f317(f226(f910(x99121,a898)),x99125),x99124))+P2(f317(f317(f226(f910(x99121,a898)),f317(f317(f91(f910(x99121,a898)),x99125),f317(f252(x99121),x99123))),f317(f317(f91(f910(x99121,a898)),x99124),f317(f252(x99121),x99122))))
% 192.07/191.93 [9955]~P6(x99551)+~P2(f317(f317(f226(x99551),x99552),f317(x99555,f493(x99555,x99554,x99553,x99552,x99551))))+P2(f317(f317(f226(x99551),x99552),f317(f317(f35(x99553,x99551),x99554),x99555)))
% 192.07/191.93 [9992]~P71(x99921)+~P2(f317(f29(x99922),x99925))+E(f317(f317(f317(f60(x99921,x99922,f75(x99921)),f317(f317(f20(x99922,x99921,x99921),f317(f317(f10(x99921,f910(x99921,x99921),x99922),f75(x99921)),x99923)),x99924)),f72(x99921)),x99925),f317(f317(f75(x99921),f317(f317(f317(f60(x99921,x99922,f75(x99921)),x99923),f72(x99921)),x99925)),f317(f317(f317(f60(x99921,x99922,f75(x99921)),x99924),f72(x99921)),x99925)))
% 192.07/191.93 [10047]~P2(f317(f317(f319(f909(f910(x100471,a898),f910(x100471,a898))),f317(f317(f242(f910(x100471,a898),f910(x100471,a898)),x100475),x100474)),f309(x100471,x100473)))+~P2(f317(f317(f319(x100471),x100472),x100475))+P2(f317(f317(f319(f909(x100471,x100471)),f317(f317(f242(x100471,x100471),x100472),f693(x100473,x100474,x100475,x100471,x100472))),x100473))
% 192.07/191.93 [10186]~P2(f317(f317(f319(f909(f904(x101861),f904(x101861))),f317(f317(f242(f904(x101861),f904(x101861)),f317(f317(f124(x101861),x101865),x101862)),f317(f317(f124(x101861),x101865),x101863))),f137(x101861,x101864)))+P2(f317(f317(f319(f909(f904(x101861),f904(x101861))),f317(f317(f242(f904(x101861),f904(x101861)),x101862),x101863)),f137(x101861,x101864)))+P2(f317(f317(f319(f909(x101861,x101861)),f317(f317(f242(x101861,x101861),f569(x101864,x101863,x101862,x101865,x101861)),f569(x101864,x101863,x101862,x101865,x101861))),x101864))
% 192.07/191.93 [7370]~E(x73703,x73705)+E(f317(f317(f154(x73701),f317(f317(f149(x73701,x73702),x73703),x73704)),x73705),x73704)+~P2(f317(f317(f227(a903),x73703),f317(f179(f904(x73701)),x73702)))
% 192.07/191.93 [7486]~E(f317(f317(f124(x74861),x74862),x74864),f317(f317(f124(x74861),x74863),x74865))+E(f317(f317(f165(x74861),f317(f179(f904(x74861)),x74862)),x74863),x74862)+P2(f317(f317(f226(a903),f317(f179(f904(x74861)),x74863)),f317(f179(f904(x74861)),x74862)))
% 192.07/191.93 [7983]~E(f317(f317(f124(x79831),x79832),x79834),f317(f317(f124(x79831),x79833),x79835))+E(f317(f317(f165(x79831),f317(f179(f904(x79831)),x79832)),x79833),x79832)+~P2(f317(f317(f226(a903),f317(f179(f904(x79831)),x79832)),f317(f179(f904(x79831)),x79833)))
% 192.07/191.93 [8007]~P2(f317(f29(x80071),f317(x80074,x80075)))+~P2(f317(f317(f319(x80072),x80075),x80073))+P2(f317(f29(x80071),f317(f317(f35(x80072,f910(x80071,a898)),x80073),x80074)))
% 192.07/191.93 [8182]~P52(x81821,x81823,x81825)+~P52(x81821,x81822,x81824)+P52(x81821,f317(f317(f100(f910(x81821,a898)),x81822),x81823),f317(f317(f100(f910(f909(x81821,x81821),a898)),x81824),x81825))
% 192.07/191.93 [8183]~P52(x81831,x81833,x81835)+~P52(x81831,x81832,x81834)+P52(x81831,f317(f317(f91(f910(x81831,a898)),x81832),x81833),f317(f317(f91(f910(f909(x81831,x81831),a898)),x81834),x81835))
% 192.07/191.93 [8540]E(f317(f317(f242(x85401,x85402),f317(f317(f154(x85401),x85403),x85404)),f317(f317(f154(x85402),x85405),x85404)),f317(f317(f154(f909(x85401,x85402)),f317(f317(f171(x85401,x85402),x85403),x85405)),x85404))+~P2(f317(f317(f227(a903),x85404),f317(f179(f904(x85401)),x85403)))+~P2(f317(f317(f227(a903),x85404),f317(f179(f904(x85402)),x85405)))
% 192.07/191.93 [8693]~P52(x86931,x86933,x86934)+P2(f317(f317(f319(x86931),x86932),x86933))+~P2(f317(f317(f319(f909(x86931,x86931)),f317(f317(f242(x86931,x86931),x86935),x86932)),x86934))
% 192.07/191.93 [8694]~P52(x86941,x86943,x86944)+P2(f317(f317(f319(x86941),x86942),x86943))+~P2(f317(f317(f319(f909(x86941,x86941)),f317(f317(f242(x86941,x86941),x86942),x86945)),x86944))
% 192.07/191.93 [8695]~P9(x86951,x86953,x86954)+P2(f317(f317(f319(x86951),x86952),x86953))+~P2(f317(f317(f319(f909(x86951,x86951)),f317(f317(f242(x86951,x86951),x86955),x86952)),x86954))
% 192.07/191.93 [8696]~P9(x86961,x86963,x86964)+P2(f317(f317(f319(x86961),x86962),x86963))+~P2(f317(f317(f319(f909(x86961,x86961)),f317(f317(f242(x86961,x86961),x86962),x86965)),x86964))
% 192.07/191.93 [8977]~P9(x89771,x89775,x89772)+E(f317(f275(x89771,x89771,x89772),f317(f317(f299(x89771),x89773),f178(f910(x89771,a898)))),f317(f275(x89771,x89771,x89772),f317(f317(f299(x89771),x89774),f178(f910(x89771,a898)))))+~P2(f317(f317(f319(f909(x89771,x89771)),f317(f317(f242(x89771,x89771),x89773),x89774)),x89772))
% 192.07/191.93 [9161]P2(f317(x91611,x91612))+~P2(f317(f317(f319(x91613),x91612),x91615))+P2(f317(f317(f319(x91613),f359(x91611,x91614,x91615,x91613)),f317(f317(f100(f910(x91613,a898)),x91615),x91614)))
% 192.07/191.93 [9162]P2(f317(x91621,x91622))+~P2(f317(f317(f319(x91623),x91622),x91624))+P2(f317(f317(f319(x91623),f359(x91621,x91624,x91625,x91623)),f317(f317(f100(f910(x91623,a898)),x91625),x91624)))
% 192.07/191.93 [9170]~P2(f317(x91702,x91705))+~P2(f317(f317(f319(x91701),x91705),x91704))+P2(f317(f317(f319(x91701),f342(x91702,x91703,x91704,x91701)),f317(f317(f100(f910(x91701,a898)),x91704),x91703)))
% 192.07/191.93 [9171]~P2(f317(x91712,x91715))+~P2(f317(f317(f319(x91711),x91715),x91713))+P2(f317(f317(f319(x91711),f342(x91712,x91713,x91714,x91711)),f317(f317(f100(f910(x91711,a898)),x91714),x91713)))
% 192.07/191.93 [9186]~P2(f317(f317(f226(f910(x91861,a898)),x91865),x91863))+~P2(f317(f317(f226(f910(x91861,a898)),x91862),x91864))+P2(f317(f317(f226(f910(x91861,a898)),f317(f317(f3(f910(x91861,a898)),x91862),x91863)),f317(f317(f3(f910(x91861,a898)),x91864),x91865)))
% 192.07/191.93 [9187]~P2(f317(f317(f226(f910(x91871,a898)),x91873),x91875))+~P2(f317(f317(f226(f910(x91871,a898)),x91872),x91874))+P2(f317(f317(f226(f910(x91871,a898)),f317(f317(f100(f910(x91871,a898)),x91872),x91873)),f317(f317(f100(f910(x91871,a898)),x91874),x91875)))
% 192.07/191.93 [9188]~P2(f317(f317(f226(f910(x91881,a898)),x91883),x91885))+~P2(f317(f317(f226(f910(x91881,a898)),x91882),x91884))+P2(f317(f317(f226(f910(x91881,a898)),f317(f317(f91(f910(x91881,a898)),x91882),x91883)),f317(f317(f91(f910(x91881,a898)),x91884),x91885)))
% 192.07/191.93 [9282]P2(f317(f317(f319(f909(x92821,x92821)),f317(f317(f242(x92821,x92821),x92822),x92823)),f311(x92821,x92824,x92825)))+~P2(f317(f317(f226(a903),f317(x92824,x92822)),f317(x92824,x92823)))+~P2(f317(f317(f319(f909(x92821,x92821)),f317(f317(f242(x92821,x92821),x92822),x92823)),x92825))
% 192.07/191.93 [9472]P2(f317(f317(f319(f909(x94721,x94721)),f317(f317(f242(x94721,x94721),x94722),x94723)),f297(x94721,x94724)))+~P2(f317(f317(f319(f909(x94721,x94721)),f317(f317(f242(x94721,x94721),x94722),x94725)),f297(x94721,x94724)))+~P2(f317(f317(f319(f909(x94721,x94721)),f317(f317(f242(x94721,x94721),x94725),x94723)),x94724))
% 192.07/191.93 [9473]P2(f317(f317(f319(f909(x94731,x94731)),f317(f317(f242(x94731,x94731),x94732),x94733)),f297(x94731,x94734)))+~P2(f317(f317(f319(f909(x94731,x94731)),f317(f317(f242(x94731,x94731),x94735),x94733)),f297(x94731,x94734)))+~P2(f317(f317(f319(f909(x94731,x94731)),f317(f317(f242(x94731,x94731),x94732),x94735)),x94734))
% 192.07/191.93 [9574]E(x95741,x95742)+E(f317(a102,f716(x95743,x95744,x95741,x95742,x95745)),x95744)+~P2(f317(f317(f319(f909(x95745,x95745)),f317(f317(f242(x95745,x95745),x95742),x95741)),f317(f317(f173(f909(x95745,x95745),a898),x95744),x95743)))
% 192.07/191.93 [9575]E(x95751,x95752)+E(f317(a102,f718(x95753,x95754,x95751,x95752,x95755)),x95754)+~P2(f317(f317(f319(f909(x95755,x95755)),f317(f317(f242(x95755,x95755),x95752),x95751)),f317(f317(f173(f909(x95755,x95755),a898),x95754),x95753)))
% 192.07/191.93 [9576]E(x95761,f2(a903))+E(f317(a102,f716(x95762,x95761,x95763,x95764,x95765)),x95761)+~P2(f317(f317(f319(f909(x95765,x95765)),f317(f317(f242(x95765,x95765),x95764),x95763)),f317(f317(f173(f909(x95765,x95765),a898),x95761),x95762)))
% 192.07/191.93 [9577]E(x95771,f2(a903))+E(f317(a102,f718(x95772,x95771,x95773,x95774,x95775)),x95771)+~P2(f317(f317(f319(f909(x95775,x95775)),f317(f317(f242(x95775,x95775),x95774),x95773)),f317(f317(f173(f909(x95775,x95775),a898),x95771),x95772)))
% 192.07/191.93 [9602]P2(f317(f317(f319(f909(x96021,x96021)),f317(f317(f242(x96021,x96021),x96022),x96023)),f317(f317(f279(x96021,x96021,x96021),x96024),f297(x96021,x96024))))+~P2(f317(f317(f319(f909(x96021,x96021)),f317(f317(f242(x96021,x96021),x96022),x96025)),x96024))+~P2(f317(f317(f319(f909(x96021,x96021)),f317(f317(f242(x96021,x96021),x96025),x96023)),x96024))
% 192.07/191.93 [9612]~P2(f317(f317(f319(f909(x96121,x96121)),f317(f317(f242(x96121,x96121),x96122),x96125)),f297(x96121,x96124)))+P2(f317(f317(f319(f909(x96121,x96121)),f317(f317(f242(x96121,x96121),x96122),x96123)),f317(f317(f279(x96121,x96121,x96121),x96124),f297(x96121,x96124))))+~P2(f317(f317(f319(f909(x96121,x96121)),f317(f317(f242(x96121,x96121),x96125),x96123)),x96124))
% 192.07/191.93 [9647]~P9(x96471,x96475,x96472)+~P2(f317(f317(f319(f909(x96471,x96471)),f317(f317(f242(x96471,x96471),x96473),x96474)),x96472))+P2(f317(f317(f226(f910(x96471,a898)),f317(f275(x96471,x96471,x96472),f317(f317(f299(x96471),x96473),f178(f910(x96471,a898))))),f317(f275(x96471,x96471,x96472),f317(f317(f299(x96471),x96474),f178(f910(x96471,a898))))))
% 192.07/191.93 [9706]P2(f317(f317(f319(f909(x97061,x97061)),f317(f317(f242(x97061,x97061),x97062),x97063)),f317(f317(f279(x97061,x97061,x97061),x97064),f297(x97061,x97064))))+~P2(f317(f317(f319(f909(x97061,x97061)),f317(f317(f242(x97061,x97061),x97062),x97065)),f317(f317(f279(x97061,x97061,x97061),x97064),f297(x97061,x97064))))+~P2(f317(f317(f319(f909(x97061,x97061)),f317(f317(f242(x97061,x97061),x97065),x97063)),x97064))
% 192.07/191.93 [9707]P2(f317(f317(f319(f909(x97071,x97071)),f317(f317(f242(x97071,x97071),x97072),x97073)),f317(f317(f279(x97071,x97071,x97071),x97074),f297(x97071,x97074))))+~P2(f317(f317(f319(f909(x97071,x97071)),f317(f317(f242(x97071,x97071),x97075),x97073)),f317(f317(f279(x97071,x97071,x97071),x97074),f297(x97071,x97074))))+~P2(f317(f317(f319(f909(x97071,x97071)),f317(f317(f242(x97071,x97071),x97072),x97075)),x97074))
% 192.07/191.93 [9757]~P2(f317(f61(x97571,x97571,x97574,x97572,x97573),x97575))+P2(f317(f317(f319(x97571),x97572),x97573))+P2(f317(f57(x97571,x97574,f317(f317(f299(x97571),x97572),x97573)),x97575))
% 192.07/191.93 [9795]~E(f317(f300(x97953,x97952,x97955),x97954),x97951)+E(x97951,f178(f910(x97952,a898)))+P2(f317(f317(f226(f910(x97953,a898)),f317(f300(x97952,x97953,f622(x97954,x97953,x97952,x97951)),x97951)),x97954))
% 192.07/191.93 [9842]~P6(x98425)+P2(f317(f317(f319(x98421),f494(x98422,x98423,x98424,x98421,x98425)),x98424))+P2(f317(f317(f226(x98425),f317(f317(f36(x98421,x98425),x98424),x98423)),x98422))
% 192.07/191.93 [9899]P34(x98991,x98992,x98993,x98994,x98995)+~E(f317(f179(f904(x98991)),x98994),f317(f179(f904(x98992)),x98995))+P2(f317(f317(f319(f909(x98991,x98992)),f617(x98995,x98994,x98993,x98992,x98991)),f317(f162(f909(x98991,x98992)),f317(f317(f171(x98991,x98992),x98994),x98995))))
% 192.07/191.93 [9900]P34(x99001,x99002,x99003,x99004,x99005)+~E(f317(f179(f904(x99001)),x99004),f317(f179(f904(x99002)),x99005))+P2(f317(f317(f319(f909(x99001,x99002)),f618(x99003,x99005,x99004,x99002,x99001)),f317(f162(f909(x99001,x99002)),f317(f317(f171(x99001,x99002),x99004),x99005))))
% 192.07/191.93 [10026]E(x100261,x100262)+P2(f317(f317(f319(f909(x100263,x100263)),f317(f317(f242(x100263,x100263),x100261),f719(x100264,x100265,x100262,x100261,x100263))),x100264))+~P2(f317(f317(f319(f909(x100263,x100263)),f317(f317(f242(x100263,x100263),x100261),x100262)),f317(f317(f173(f909(x100263,x100263),a898),x100265),x100264)))
% 192.07/191.93 [10027]E(x100271,f2(a903))+P2(f317(f317(f319(f909(x100272,x100272)),f317(f317(f242(x100272,x100272),x100273),f719(x100274,x100271,x100275,x100273,x100272))),x100274))+~P2(f317(f317(f319(f909(x100272,x100272)),f317(f317(f242(x100272,x100272),x100273),x100275)),f317(f317(f173(f909(x100272,x100272),a898),x100271),x100274)))
% 192.07/191.93 [10066]~P6(x100661)+~P2(f317(f317(f226(x100661),f317(x100664,f494(x100665,x100664,x100663,x100662,x100661))),x100665))+P2(f317(f317(f226(x100661),f317(f317(f36(x100662,x100661),x100663),x100664)),x100665))
% 192.07/191.93 [10119]E(x101191,x101192)+P2(f317(f317(f319(f909(x101193,x101193)),f317(f317(f242(x101193,x101193),f717(x101194,x101195,x101191,x101192,x101193)),x101191)),x101194))+~P2(f317(f317(f319(f909(x101193,x101193)),f317(f317(f242(x101193,x101193),x101192),x101191)),f317(f317(f173(f909(x101193,x101193),a898),x101195),x101194)))
% 192.07/191.93 [10120]E(x101201,f2(a903))+P2(f317(f317(f319(f909(x101202,x101202)),f317(f317(f242(x101202,x101202),f717(x101203,x101201,x101204,x101205,x101202)),x101204)),x101203))+~P2(f317(f317(f319(f909(x101202,x101202)),f317(f317(f242(x101202,x101202),x101205),x101204)),f317(f317(f173(f909(x101202,x101202),a898),x101201),x101203)))
% 192.07/191.93 [10124]E(x101241,x101242)+P2(f317(f317(f319(f909(x101243,x101243)),f317(f317(f242(x101243,x101243),x101241),f717(x101244,x101245,x101242,x101241,x101243))),f317(f317(f173(f909(x101243,x101243),a898),f716(x101244,x101245,x101242,x101241,x101243)),x101244)))+~P2(f317(f317(f319(f909(x101243,x101243)),f317(f317(f242(x101243,x101243),x101241),x101242)),f317(f317(f173(f909(x101243,x101243),a898),x101245),x101244)))
% 192.07/191.93 [10125]E(x101251,f2(a903))+P2(f317(f317(f319(f909(x101252,x101252)),f317(f317(f242(x101252,x101252),x101253),f717(x101254,x101251,x101255,x101253,x101252))),f317(f317(f173(f909(x101252,x101252),a898),f716(x101254,x101251,x101255,x101253,x101252)),x101254)))+~P2(f317(f317(f319(f909(x101252,x101252)),f317(f317(f242(x101252,x101252),x101253),x101255)),f317(f317(f173(f909(x101252,x101252),a898),x101251),x101254)))
% 192.07/191.93 [10177]E(x101771,x101772)+P2(f317(f317(f319(f909(x101773,x101773)),f317(f317(f242(x101773,x101773),f719(x101774,x101775,x101771,x101772,x101773)),x101771)),f317(f317(f173(f909(x101773,x101773),a898),f718(x101774,x101775,x101771,x101772,x101773)),x101774)))+~P2(f317(f317(f319(f909(x101773,x101773)),f317(f317(f242(x101773,x101773),x101772),x101771)),f317(f317(f173(f909(x101773,x101773),a898),x101775),x101774)))
% 192.07/191.93 [10178]E(x101781,f2(a903))+P2(f317(f317(f319(f909(x101782,x101782)),f317(f317(f242(x101782,x101782),f719(x101783,x101781,x101784,x101785,x101782)),x101784)),f317(f317(f173(f909(x101782,x101782),a898),f718(x101783,x101781,x101784,x101785,x101782)),x101783)))+~P2(f317(f317(f319(f909(x101782,x101782)),f317(f317(f242(x101782,x101782),x101785),x101784)),f317(f317(f173(f909(x101782,x101782),a898),x101781),x101783)))
% 192.07/191.93 [10211]~P75(x102112)+~P2(f317(f29(x102111),x102115))+E(f317(f317(f8(x102111,x102112),f317(f317(f9(x102111,x102112,x102112),f317(f317(f20(x102111,x102112,f910(x102112,x102112)),f317(f317(f10(a898,f910(x102112,f910(x102112,x102112)),x102111),f86(x102112)),f317(f317(f9(x102111,f910(x102111,a898),a898),f319(x102111)),x102113))),x102114)),f2(x102112))),x102115),f317(f317(f8(x102111,x102112),x102114),f317(f317(f91(f910(x102111,a898)),x102115),x102113)))
% 192.07/191.93 [8761]~P71(x87611)+~P2(f317(f29(x87614),x87615))+E(f317(f317(f75(x87611),f317(x87612,x87613)),f317(f317(f11(x87614,x87611),x87612),f317(f317(f3(f910(x87614,a898)),x87615),f317(f317(f299(x87614),x87613),f178(f910(x87614,a898)))))),f317(f317(f11(x87614,x87611),x87612),f317(f317(f299(x87614),x87613),x87615)))
% 192.07/191.93 [8762]~P75(x87621)+~P2(f317(f29(x87624),x87625))+E(f317(f317(f74(x87621),f317(x87622,x87623)),f317(f317(f8(x87624,x87621),x87622),f317(f317(f3(f910(x87624,a898)),x87625),f317(f317(f299(x87624),x87623),f178(f910(x87624,a898)))))),f317(f317(f8(x87624,x87621),x87622),f317(f317(f299(x87624),x87623),x87625)))
% 192.07/191.93 [9094]~P108(x90942)+~P14(x90942,f317(f158(x90942),f317(f317(f144(x90941,x90942),x90944),x90945)))+E(f317(f126(x90941,f317(f317(f10(x90942,a898,x90941),f317(f227(x90942),x90943)),x90944)),x90945),f167(x90941,f317(f317(f10(x90942,a898,x90941),f317(f227(x90942),x90943)),x90944),x90945))
% 192.07/191.93 [9118]~P75(x91181)+E(f317(f317(f74(x91181),f317(f317(f8(a903,x91181),x91182),f293(a903,x91183,x91184))),f317(f317(f8(a903,x91181),x91182),f293(a903,f317(f317(f74(a903),x91184),f72(a903)),f317(f317(f74(a903),x91184),x91185)))),f317(f317(f8(a903,x91181),x91182),f293(a903,x91183,f317(f317(f74(a903),x91184),x91185))))+~P2(f317(f317(f226(a903),x91183),f317(f317(f74(a903),x91184),f72(a903))))
% 192.07/191.93 [9119]~P2(f317(f317(f319(x91191),x91194),x91195))+~P2(f317(f317(f226(f910(x91191,a898)),f317(f162(x91191),x91192)),x91195))+P2(f317(f317(f226(f910(x91191,a898)),f317(f162(x91191),f317(f317(f149(x91191,x91192),x91193),x91194))),x91195))
% 192.07/191.93 [9344]~P6(x93442)+~P2(f317(f29(x93441),x93445))+E(f317(f317(f59(x93441,x93442,f317(f317(f10(x93442,f910(x93442,x93442),x93441),f100(x93442)),x93443)),x93444),x93445),f317(f317(f100(x93442),x93444),f317(f317(f36(x93441,x93442),x93445),x93443)))
% 192.07/191.93 [9345]~P6(x93452)+~P2(f317(f29(x93451),x93455))+E(f317(f317(f59(x93451,x93452,f317(f317(f10(x93452,f910(x93452,x93452),x93451),f91(x93452)),x93453)),x93454),x93455),f317(f317(f91(x93452),x93454),f317(f317(f35(x93451,x93452),x93455),x93453)))
% 192.07/191.93 [9396]E(f317(x93961,x93962),f317(x93961,x93963))+P2(f317(f317(f227(a903),f317(x93961,x93962)),f317(x93961,x93963)))+~P2(f317(f317(f319(f909(x93964,x93964)),f317(f317(f242(x93964,x93964),x93962),x93963)),f143(x93964,f317(f317(f141(f910(x93964,a903)),x93961),x93965))))
% 192.07/191.93 [9430]~E(f317(x94304,x94302),f317(x94304,x94303))+~P2(f317(f317(f319(f909(x94301,x94301)),f317(f317(f242(x94301,x94301),x94302),x94303)),f143(x94301,x94305)))+P2(f317(f317(f319(f909(x94301,x94301)),f317(f317(f242(x94301,x94301),x94302),x94303)),f143(x94301,f317(f317(f141(f910(x94301,a903)),x94304),x94305))))
% 192.07/191.93 [9450]~P25(x94501,x94502,x94503,x94505)+P25(x94501,x94502,x94503,f317(f317(f299(x94501),x94504),x94505))+P2(f317(f317(f319(x94502),f317(x94503,x94504)),f317(f300(x94501,x94502,x94503),f317(f317(f3(f910(x94501,a898)),x94505),f317(f317(f299(x94501),x94504),f178(f910(x94501,a898)))))))
% 192.07/191.93 [9453]P2(f317(x94532,x94535))+~P2(f317(f317(f319(x94531),x94535),f317(f162(x94531),x94533)))+E(f317(f317(f128(x94531),f317(f179(f904(x94531)),f167(x94531,x94532,f317(f317(f124(x94531),x94533),x94534)))),f317(f317(f124(x94531),x94533),x94534)),f317(f317(f124(x94531),f317(f317(f128(x94531),f317(f179(f904(x94531)),f167(x94531,x94532,x94533))),x94533)),x94534))
% 192.07/191.93 [9458]~P2(f317(f317(f319(f909(x94581,x94581)),f317(f317(f242(x94581,x94581),x94582),x94583)),f143(x94581,x94585)))+~P2(f317(f317(f226(a903),f317(x94584,x94582)),f317(x94584,x94583)))+P2(f317(f317(f319(f909(x94581,x94581)),f317(f317(f242(x94581,x94581),x94582),x94583)),f143(x94581,f317(f317(f141(f910(x94581,a903)),x94584),x94585))))
% 192.07/191.93 [9525]P2(f317(f317(f319(f909(x95254,x95254)),f317(f317(f242(x95254,x95254),x95252),x95253)),f143(x95254,x95255)))+P2(f317(f317(f227(a903),f317(x95251,x95252)),f317(x95251,x95253)))+~P2(f317(f317(f319(f909(x95254,x95254)),f317(f317(f242(x95254,x95254),x95252),x95253)),f143(x95254,f317(f317(f141(f910(x95254,a903)),x95251),x95255))))
% 192.07/191.93 [9678]~P2(f317(f317(f319(f909(f904(x96781),f904(x96781))),f317(f317(f242(f904(x96781),f904(x96781)),x96782),x96784)),f148(x96781,x96785)))+~P2(f317(f317(f227(a903),x96783),f317(f179(f904(x96781)),x96782)))+P2(f317(f317(f319(f909(x96781,x96781)),f317(f317(f242(x96781,x96781),f317(f317(f154(x96781),x96782),x96783)),f317(f317(f154(x96781),x96784),x96783))),x96785))
% 192.07/191.93 [9922]E(x99221,f2(a1))+~P2(f317(f45(x99223,x99221),f317(f317(f242(a1,a1),x99224),x99225)))+P2(f317(f45(f317(f317(f75(a1),x99222),x99223),x99221),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),x99222),x99224)),f317(f317(f31(a1),f317(f317(f75(a1),x99222),x99225)),x99221))),f41(a1,f317(f317(f75(a1),x99222),x99225),x99221))))
% 192.07/191.93 [9923]~P2(f317(f317(f227(a903),f2(a903)),x99233))+~P2(f317(f44(x99232,x99233),f317(f317(f242(a903,a903),x99234),x99235)))+P2(f317(f44(f317(f317(f75(a903),x99231),x99232),x99233),f317(f317(f242(a903,a903),f317(f317(f74(a903),f317(f317(f75(a903),x99231),x99234)),f317(f317(f31(a903),f317(f317(f75(a903),x99231),x99235)),x99233))),f41(a903,f317(f317(f75(a903),x99231),x99235),x99233))))
% 192.07/191.93 [10234]~P75(x102342)+~P2(f317(f29(x102341),x102344))+E(f317(f317(f8(x102341,x102342),x102343),f317(f252(x102341),f317(f317(f20(x102341,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102341),a315),f317(f317(f9(x102341,f910(x102341,a898),a898),f319(x102341)),x102344))),f317(f317(f9(x102341,f910(x102341,a898),a898),f319(x102341)),x102345)))),f317(f317(f8(x102341,x102342),f317(f317(f9(x102341,x102342,x102342),f317(f317(f20(x102341,x102342,f910(x102342,x102342)),f317(f317(f10(a898,f910(x102342,f910(x102342,x102342)),x102341),f86(x102342)),f317(f317(f9(x102341,f910(x102341,a898),a898),f319(x102341)),x102345))),x102343)),f2(x102342))),x102344))
% 192.07/191.93 [8390]~E(f317(f317(f124(x83901),x83902),x83905),f317(f317(f124(x83901),x83903),x83904))+E(f317(f317(f124(x83901),f317(f317(f128(x83901),f317(f179(f904(x83901)),x83902)),x83903)),x83904),x83905)+P2(f317(f317(f226(a903),f317(f179(f904(x83901)),x83903)),f317(f179(f904(x83901)),x83902)))
% 192.07/191.93 [8588]~E(f317(f317(f124(x85882),x85883),x85881),f317(f317(f124(x85882),x85884),x85885))+E(x85881,f317(f317(f124(x85882),f317(f317(f128(x85882),f317(f179(f904(x85882)),x85883)),x85884)),x85885))+~P2(f317(f317(f226(a903),f317(f179(f904(x85882)),x85883)),f317(f179(f904(x85882)),x85884)))
% 192.07/191.93 [8676]~E(f317(f317(f74(a903),f317(f317(f75(a903),x86763),x86764)),x86761),f317(f317(f74(a903),f317(f317(f75(a903),x86762),x86764)),x86765))+~P2(f317(f317(f226(a903),x86763),x86762))+E(x86761,f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x86762),x86763)),x86764)),x86765))
% 192.07/191.93 [8677]~E(f317(f317(f74(a903),f317(f317(f75(a903),x86771),x86773)),x86774),f317(f317(f74(a903),f317(f317(f75(a903),x86772),x86773)),x86775))+~P2(f317(f317(f226(a903),x86772),x86771))+E(f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x86771),x86772)),x86773)),x86774),x86775)
% 192.07/191.93 [8845]E(f317(f317(f74(a903),f317(f317(f75(a903),x88451),x88452)),x88453),f317(f317(f74(a903),f317(f317(f75(a903),x88454),x88452)),x88455))+~P2(f317(f317(f226(a903),x88454),x88451))+~E(x88455,f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x88451),x88454)),x88452)),x88453))
% 192.07/191.93 [8846]E(f317(f317(f74(a903),f317(f317(f75(a903),x88461),x88462)),x88463),f317(f317(f74(a903),f317(f317(f75(a903),x88464),x88462)),x88465))+~P2(f317(f317(f226(a903),x88464),x88461))+~E(f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x88461),x88464)),x88462)),x88463),x88465)
% 192.07/191.93 [9731]~P61(x97312)+~P2(f317(f29(x97311),x97315))+E(f317(f317(f11(x97311,x97312),f317(f317(f20(x97311,x97312,x97312),f317(f317(f10(x97312,f910(x97312,x97312),x97311),f281(x97312)),x97313)),x97314)),x97315),f317(f317(f281(x97312),f317(f317(f11(x97311,x97312),x97313),x97315)),f317(f317(f11(x97311,x97312),x97314),x97315)))
% 192.07/191.93 [9862]~E(f720(x98625,x98624,x98623,x98622,x98621),f721(x98625,x98624,x98623,x98622,x98621))+P2(f317(f317(f319(f909(x98621,x98621)),f317(f317(f242(x98621,x98621),x98622),x98623)),f297(x98621,x98624)))+~P2(f317(f317(f319(f909(x98621,x98621)),f317(f317(f242(x98621,x98621),x98622),x98623)),f297(x98621,f317(f317(f100(f910(f909(x98621,x98621),a898)),x98624),x98625))))
% 192.07/191.93 [9863]~E(f722(x98635,x98634,x98633,x98632,x98631),f723(x98635,x98634,x98633,x98632,x98631))+P2(f317(f317(f319(f909(x98631,x98631)),f317(f317(f242(x98631,x98631),x98632),x98633)),f297(x98631,x98634)))+~P2(f317(f317(f319(f909(x98631,x98631)),f317(f317(f242(x98631,x98631),x98632),x98633)),f297(x98631,f317(f317(f100(f910(f909(x98631,x98631),a898)),x98634),x98635))))
% 192.07/191.93 [10056]P2(f317(f317(f319(f909(x100561,x100561)),f317(f317(f242(x100561,x100561),x100562),f721(x100565,x100564,x100563,x100562,x100561))),f297(x100561,x100564)))+P2(f317(f317(f319(f909(x100561,x100561)),f317(f317(f242(x100561,x100561),x100562),x100563)),f297(x100561,x100564)))+~P2(f317(f317(f319(f909(x100561,x100561)),f317(f317(f242(x100561,x100561),x100562),x100563)),f297(x100561,f317(f317(f100(f910(f909(x100561,x100561),a898)),x100564),x100565))))
% 192.07/191.93 [10146]P2(f317(f317(f319(f909(x101461,x101461)),f317(f317(f242(x101461,x101461),f723(x101465,x101464,x101463,x101462,x101461)),x101463)),f297(x101461,x101464)))+P2(f317(f317(f319(f909(x101461,x101461)),f317(f317(f242(x101461,x101461),x101462),x101463)),f297(x101461,x101464)))+~P2(f317(f317(f319(f909(x101461,x101461)),f317(f317(f242(x101461,x101461),x101462),x101463)),f297(x101461,f317(f317(f100(f910(f909(x101461,x101461),a898)),x101464),x101465))))
% 192.07/191.93 [10184]P2(f317(f317(f319(f909(x101841,x101841)),f317(f317(f242(x101841,x101841),x101842),x101843)),f297(x101841,x101844)))+P2(f317(f317(f319(f909(x101841,x101841)),f317(f317(f242(x101841,x101841),f721(x101845,x101844,x101843,x101842,x101841)),f720(x101845,x101844,x101843,x101842,x101841))),x101845))+~P2(f317(f317(f319(f909(x101841,x101841)),f317(f317(f242(x101841,x101841),x101842),x101843)),f297(x101841,f317(f317(f100(f910(f909(x101841,x101841),a898)),x101844),x101845))))
% 192.07/191.93 [10185]P2(f317(f317(f319(f909(x101851,x101851)),f317(f317(f242(x101851,x101851),x101852),x101853)),f297(x101851,x101854)))+P2(f317(f317(f319(f909(x101851,x101851)),f317(f317(f242(x101851,x101851),f722(x101855,x101854,x101853,x101852,x101851)),f723(x101855,x101854,x101853,x101852,x101851))),x101855))+~P2(f317(f317(f319(f909(x101851,x101851)),f317(f317(f242(x101851,x101851),x101852),x101853)),f297(x101851,f317(f317(f100(f910(f909(x101851,x101851),a898)),x101854),x101855))))
% 192.07/191.93 [10332]~P2(f317(f317(f319(f909(f904(x103321),f904(x103321))),f317(f317(f242(f904(x103321),f904(x103321)),x103324),x103325)),f148(x103321,x103322)))+~P2(f317(f317(f319(f909(x103321,x103321)),x103323),f317(f162(f909(x103321,x103321)),f317(f317(f171(x103321,x103321),x103324),x103325))))+P2(f317(f317(f247(x103321,x103321,a898),f317(f317(f9(x103321,f910(f909(x103321,x103321),a898),f910(x103321,a898)),f317(f317(f10(f910(x103321,f910(f910(f909(x103321,x103321),a898),a898)),f910(f910(f909(x103321,x103321),a898),f910(x103321,a898)),x103321),f9(x103321,f910(f909(x103321,x103321),a898),a898)),f317(f317(f10(f910(x103321,f909(x103321,x103321)),f910(x103321,f910(f910(f909(x103321,x103321),a898),a898)),x103321),f317(f10(f909(x103321,x103321),f910(f910(f909(x103321,x103321),a898),a898),x103321),f319(f909(x103321,x103321)))),f242(x103321,x103321)))),x103322)),x103323))
% 192.07/191.93 [9761]~P2(f317(f317(f226(a903),x97613),x97612))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),f317(f317(f75(a903),x97613),x97614)),x97611)),f317(f317(f74(a903),f317(f317(f75(a903),x97612),x97614)),x97615)))+P2(f317(f317(f226(a903),x97611),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x97612),x97613)),x97614)),x97615)))
% 192.07/191.93 [9762]~P2(f317(f317(f226(a903),x97623),x97622))+~P2(f317(f317(f227(a903),f317(f317(f74(a903),f317(f317(f75(a903),x97623),x97624)),x97621)),f317(f317(f74(a903),f317(f317(f75(a903),x97622),x97624)),x97625)))+P2(f317(f317(f227(a903),x97621),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x97622),x97623)),x97624)),x97625)))
% 192.07/191.93 [9779]~P2(f317(f317(f226(a903),x97791),x97794))+P2(f317(f317(f226(a903),f317(f317(f74(a903),f317(f317(f75(a903),x97791),x97792)),x97793)),f317(f317(f74(a903),f317(f317(f75(a903),x97794),x97792)),x97795)))+~P2(f317(f317(f226(a903),x97793),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x97794),x97791)),x97792)),x97795)))
% 192.07/191.93 [9780]~P2(f317(f317(f226(a903),x97801),x97804))+P2(f317(f317(f227(a903),f317(f317(f74(a903),f317(f317(f75(a903),x97801),x97802)),x97803)),f317(f317(f74(a903),f317(f317(f75(a903),x97804),x97802)),x97805)))+~P2(f317(f317(f227(a903),x97803),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x97804),x97801)),x97802)),x97805)))
% 192.07/191.93 [9897]~P2(f317(f317(f226(a903),x98972),x98971))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),f317(f317(f75(a903),x98971),x98973)),x98974)),f317(f317(f74(a903),f317(f317(f75(a903),x98972),x98973)),x98975)))+P2(f317(f317(f226(a903),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x98971),x98972)),x98973)),x98974)),x98975))
% 192.07/191.93 [9898]~P2(f317(f317(f226(a903),x98982),x98981))+~P2(f317(f317(f227(a903),f317(f317(f74(a903),f317(f317(f75(a903),x98981),x98983)),x98984)),f317(f317(f74(a903),f317(f317(f75(a903),x98982),x98983)),x98985)))+P2(f317(f317(f227(a903),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x98981),x98982)),x98983)),x98984)),x98985))
% 192.07/191.93 [9941]~P2(f317(f317(f226(a903),x99414),x99411))+P2(f317(f317(f226(a903),f317(f317(f74(a903),f317(f317(f75(a903),x99411),x99412)),x99413)),f317(f317(f74(a903),f317(f317(f75(a903),x99414),x99412)),x99415)))+~P2(f317(f317(f226(a903),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x99411),x99414)),x99412)),x99413)),x99415))
% 192.07/191.93 [9942]~P2(f317(f317(f226(a903),x99424),x99421))+P2(f317(f317(f227(a903),f317(f317(f74(a903),f317(f317(f75(a903),x99421),x99422)),x99423)),f317(f317(f74(a903),f317(f317(f75(a903),x99424),x99422)),x99425)))+~P2(f317(f317(f227(a903),f317(f317(f74(a903),f317(f317(f75(a903),f317(f317(f3(a903),x99421),x99424)),x99422)),x99423)),x99425))
% 192.07/191.93 [10172]~P12(x101721,x101722,x101725,x101723)+~P2(f317(f317(f319(f909(x101721,x101721)),x101724),x101725))+P2(f317(f317(f247(x101721,x101721,a898),f317(f317(f9(x101721,f910(x101721,x101722),f910(x101721,a898)),f317(f317(f10(f910(x101722,a898),f910(f910(x101721,x101722),f910(x101721,a898)),x101721),f10(x101722,a898,x101721)),f317(f317(f10(x101722,f910(x101722,a898),x101721),a314),x101723))),x101723)),x101724))
% 192.07/191.93 [8552]~P20(x85526,x85521,x85522,x85524)+E(f317(f67(x85521,x85521,x85521,f317(x85522,x85523)),f317(x85524,x85525)),f317(f67(x85521,x85521,x85521,f317(x85524,x85525)),f317(x85522,x85523)))+~P2(f317(f29(x85526),x85525))
% 192.07/191.93 [8989]~P25(x89891,x89893,x89895,x89896)+~P25(x89893,x89892,x89894,f317(f300(x89891,x89893,x89895),x89896))+P25(x89891,x89892,f317(f67(x89893,x89892,x89891,x89894),x89895),x89896)
% 192.07/191.93 [9557]~P2(f317(f317(x95573,x95572),x95576))+~P2(f317(f317(x95574,x95575),x95572))+P2(f317(f317(f319(x95571),x95572),f290(x95571,x95573,x95574,x95575,x95576)))
% 192.07/191.93 [9558]~P2(f317(f317(x95584,x95582),x95586))+~P2(f317(f317(x95583,x95585),x95582))+P2(f317(f317(f319(x95581),x95582),f287(x95581,x95583,x95584,x95585,x95586)))
% 192.07/191.93 [9679]E(x96791,x96792)+E(x96793,x96794)+~P2(f317(f317(f319(f909(f904(x96795),f904(x96795))),f317(f317(f242(f904(x96795),f904(x96795)),f317(f317(f141(x96795),x96793),x96791)),f317(f317(f141(x96795),x96794),x96792))),f147(x96795,x96796)))
% 192.07/191.93 [9688]~E(x96882,x96884)+P2(f317(f317(f319(f909(f904(x96881),f904(x96881))),f317(f317(f242(f904(x96881),f904(x96881)),f317(f317(f124(x96881),x96882),x96883)),f317(f317(f124(x96881),x96884),x96885))),f147(x96881,x96886)))+~P2(f317(f317(f319(f909(f904(x96881),f904(x96881))),f317(f317(f242(f904(x96881),f904(x96881)),x96883),x96885)),f147(x96881,x96886)))
% 192.07/191.93 [9689]~E(x96892,x96894)+P2(f317(f317(f319(f909(f904(x96891),f904(x96891))),f317(f317(f242(f904(x96891),f904(x96891)),f317(f317(f141(x96891),x96892),x96893)),f317(f317(f141(x96891),x96894),x96895))),f135(x96891,x96896)))+~P2(f317(f317(f319(f909(f904(x96891),f904(x96891))),f317(f317(f242(f904(x96891),f904(x96891)),x96893),x96895)),f135(x96891,x96896)))
% 192.07/191.93 [9690]~E(x96902,x96904)+P2(f317(f317(f319(f909(f904(x96901),f904(x96901))),f317(f317(f242(f904(x96901),f904(x96901)),f317(f317(f141(x96901),x96902),x96903)),f317(f317(f141(x96901),x96904),x96905))),f137(x96901,x96906)))+~P2(f317(f317(f319(f909(f904(x96901),f904(x96901))),f317(f317(f242(f904(x96901),f904(x96901)),x96903),x96905)),f137(x96901,x96906)))
% 192.07/191.93 [9691]~E(x96912,x96914)+P2(f317(f317(f319(f909(f904(x96911),f904(x96911))),f317(f317(f242(f904(x96911),f904(x96911)),f317(f317(f141(x96911),x96912),x96913)),f317(f317(f141(x96911),x96914),x96915))),f147(x96911,x96916)))+~P2(f317(f317(f319(f909(f904(x96911),f904(x96911))),f317(f317(f242(f904(x96911),f904(x96911)),x96913),x96915)),f147(x96911,x96916)))
% 192.07/191.93 [9692]~E(x96923,x96925)+P2(f317(f317(f319(f909(f904(x96921),f904(x96921))),f317(f317(f242(f904(x96921),f904(x96921)),f317(f317(f124(x96921),x96922),x96923)),f317(f317(f124(x96921),x96924),x96925))),f147(x96921,x96926)))+~P2(f317(f317(f319(f909(f904(x96921),f904(x96921))),f317(f317(f242(f904(x96921),f904(x96921)),x96922),x96924)),f147(x96921,x96926)))
% 192.07/191.93 [9749]E(x97491,x97492)+P2(f317(f317(f319(f909(f904(x97493),f904(x97493))),f317(f317(f242(f904(x97493),f904(x97493)),x97491),x97492)),f147(x97493,x97494)))+~P2(f317(f317(f319(f909(f904(x97493),f904(x97493))),f317(f317(f242(f904(x97493),f904(x97493)),f317(f317(f141(x97493),x97495),x97491)),f317(f317(f141(x97493),x97496),x97492))),f147(x97493,x97494)))
% 192.07/191.93 [9901]~E(x99013,x99015)+P2(f317(f317(f319(f909(f904(x99011),f904(x99011))),f317(f317(f242(f904(x99011),f904(x99011)),f317(f317(f124(x99011),x99012),f317(f317(f141(x99011),x99013),f103(x99011)))),f317(f317(f124(x99011),x99014),f317(f317(f141(x99011),x99015),f103(x99011))))),f147(x99011,x99016)))+~P2(f317(f317(f319(f909(f904(x99011),f904(x99011))),f317(f317(f242(f904(x99011),f904(x99011)),x99012),x99014)),f147(x99011,x99016)))
% 192.07/191.93 [9945]E(x99451,x99452)+E(x99453,x99454)+~P2(f317(f317(f319(f909(f904(x99455),f904(x99455))),f317(f317(f242(f904(x99455),f904(x99455)),f317(f317(f124(x99455),x99453),f317(f317(f141(x99455),x99451),f103(x99455)))),f317(f317(f124(x99455),x99454),f317(f317(f141(x99455),x99452),f103(x99455))))),f147(x99455,x99456)))
% 192.07/191.93 [9971]E(x99711,x99712)+~P2(f317(f317(f319(f909(f904(x99713),f904(x99713))),f317(f317(f242(f904(x99713),f904(x99713)),f317(f317(f124(x99713),x99711),f317(f317(f141(x99713),x99715),f103(x99713)))),f317(f317(f124(x99713),x99712),f317(f317(f141(x99713),x99716),f103(x99713))))),f147(x99713,x99714)))+P2(f317(f317(f319(f909(f904(x99713),f904(x99713))),f317(f317(f242(f904(x99713),f904(x99713)),x99711),x99712)),f147(x99713,x99714)))
% 192.07/191.93 [10009]~P2(f317(f317(f319(f909(f910(x100091,a898),f910(x100091,a898))),f317(f317(f242(f910(x100091,a898),f910(x100091,a898)),x100092),x100094)),f309(x100091,x100096)))+~P2(f317(f317(f319(f909(f910(x100091,a898),f910(x100091,a898))),f317(f317(f242(f910(x100091,a898),f910(x100091,a898)),x100093),x100095)),f309(x100091,x100096)))+P2(f317(f317(f319(f909(f910(x100091,a898),f910(x100091,a898))),f317(f317(f242(f910(x100091,a898),f910(x100091,a898)),f317(f317(f100(f910(x100091,a898)),x100092),x100093)),f317(f317(f100(f910(x100091,a898)),x100094),x100095))),f309(x100091,x100096)))
% 192.07/191.93 [5746]~E(f317(f317(f124(x57461),x57466),x57463),x57465)+E(f317(f317(f124(x57461),x57462),x57463),f317(f317(f124(x57461),x57464),x57465))+~E(x57462,f317(f317(f124(x57461),x57464),x57466))
% 192.07/191.93 [5748]~E(f317(f317(f124(x57481),x57482),x57486),x57484)+E(f317(f317(f124(x57481),x57482),x57483),f317(f317(f124(x57481),x57484),x57485))+~E(x57483,f317(f317(f124(x57481),x57486),x57485))
% 192.07/191.93 [5749]~E(f317(f317(f124(x57491),x57496),x57495),x57493)+E(f317(f317(f141(x57491),x57492),x57493),f317(f317(f124(x57491),x57494),x57495))+~E(x57494,f317(f317(f141(x57491),x57492),x57496))
% 192.07/191.93 [5751]~E(f317(f317(f141(x57511),x57512),x57516),x57514)+E(f317(f317(f141(x57511),x57512),x57513),f317(f317(f124(x57511),x57514),x57515))+~E(x57513,f317(f317(f124(x57511),x57516),x57515))
% 192.07/191.93 [6929]E(f317(x69291,x69292),f317(x69293,x69292))+~E(f317(f317(f144(x69294,x69295),x69291),x69296),f317(f317(f144(x69294,x69295),x69293),x69296))+~P2(f317(f317(f319(x69294),x69292),f317(f162(x69294),x69296)))
% 192.07/191.93 [7317]~P20(x73174,x73175,x73176,x73171)+E(f317(f317(x73171,x73172),x73173),f317(f317(f59(x73174,x73175,x73176),x73173),x73172))+~P2(f317(f29(x73174),x73172))
% 192.07/191.93 [7388]~E(x73882,f317(x73884,x73886))+~P2(f317(f317(f319(x73883),x73886),x73885))+P2(f317(f317(f319(x73881),x73882),f317(f300(x73883,x73881,x73884),x73885)))
% 192.07/191.93 [7389]~E(f317(x73894,x73892),x73896)+~P2(f317(f317(f319(x73893),x73896),x73895))+P2(f317(f317(f319(x73891),x73892),f317(f301(x73891,x73893,x73894),x73895)))
% 192.07/191.93 [7840]~P32(x78401,x78402,x78404,x78406)+P32(x78401,x78402,f317(f317(f141(x78401),x78403),x78404),f317(f317(f141(x78401),x78405),x78406))+~P2(f317(f317(x78402,x78403),x78405))
% 192.07/191.93 [8855]~P56(x88554,x88555,x88551,x88552,x88556)+E(f317(x88551,f317(x88552,x88553)),x88553)+~P2(f317(f317(f319(x88555),x88553),x88556))
% 192.07/191.93 [9354]~P26(x93542,x93541,x93545,x93544,x93543)+E(f317(f85(x93541,x93542,x93543,f85(x93542,x93541,x93544,x93545)),x93546),f317(x93545,x93546))+~P2(f317(f317(f319(x93542),x93546),x93544))
% 192.07/191.93 [9365]~P25(x93651,x93652,x93653,x93656)+P25(x93651,x93652,f69(x93651,x93652,x93653,x93654,x93655),x93656)+P2(f317(f317(f319(x93652),x93655),f317(f300(x93651,x93652,x93653),x93656)))
% 192.07/191.93 [9681]E(x96811,x96812)+E(f317(f179(f904(x96813)),x96814),f317(f179(f904(x96813)),x96815))+~P2(f317(f317(f319(f909(f904(x96813),f904(x96813))),f317(f317(f242(f904(x96813),f904(x96813)),f317(f317(f141(x96813),x96811),x96814)),f317(f317(f141(x96813),x96812),x96815))),f135(x96813,x96816)))
% 192.07/191.93 [9744]~P17(x97441,x97442,x97443)+E(f317(f317(f59(x97441,x97442,x97443),x97444),x97445),x97446)+~P2(f317(f61(x97441,x97442,x97443,x97444,x97445),x97446))
% 192.07/191.93 [9752]E(f317(f179(f904(x97521)),x97522),f317(f179(f904(x97521)),x97523))+P2(f317(f317(f319(f909(f904(x97521),f904(x97521))),f317(f317(f242(f904(x97521),f904(x97521)),x97522),x97523)),f135(x97521,x97524)))+~P2(f317(f317(f319(f909(f904(x97521),f904(x97521))),f317(f317(f242(f904(x97521),f904(x97521)),f317(f317(f141(x97521),x97525),x97522)),f317(f317(f141(x97521),x97526),x97523))),f135(x97521,x97524)))
% 192.07/191.93 [9773]~P2(f317(f317(f319(f909(x97731,x97731)),f317(f317(f242(x97731,x97731),x97732),x97734)),f297(x97731,x97736)))+P2(f317(f317(f319(f909(f904(x97731),f904(x97731))),f317(f317(f242(f904(x97731),f904(x97731)),f317(f317(f141(x97731),x97732),x97733)),f317(f317(f141(x97731),x97734),x97735))),f297(f904(x97731),f147(x97731,x97736))))+~P2(f317(f317(f319(f909(f904(x97731),f904(x97731))),f317(f317(f242(f904(x97731),f904(x97731)),x97733),x97735)),f297(f904(x97731),f147(x97731,x97736))))
% 192.07/191.93 [9951]~P2(f317(x99512,x99516))+~E(f317(f126(x99511,x99512),x99513),f317(f317(f141(x99511),x99514),x99515))+~P2(f317(f317(f319(x99511),x99516),f317(f162(x99511),f685(x99515,x99514,x99513,x99512,x99511))))
% 192.07/191.93 [9952]~P2(f317(x99524,x99526))+~E(f317(f317(f141(x99521),x99522),x99523),f317(f126(x99521,x99524),x99525))+~P2(f317(f317(f319(x99521),x99526),f317(f162(x99521),f687(x99525,x99524,x99523,x99522,x99521))))
% 192.07/191.93 [10269]~P75(x102692)+E(f317(f317(f8(x102691,x102692),f317(f317(f10(f910(x102693,a898),x102692,x102691),f317(f8(x102693,x102692),x102694)),f317(f317(f10(f910(x102693,a898),f910(x102693,a898),x102691),f252(x102693)),f317(f317(f10(f910(x102693,a898),f910(x102693,a898),x102691),f317(f20(x102693,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102693),a315),f317(f317(f9(x102693,f910(x102693,a898),a898),f319(x102693)),x102695)))),f317(f9(x102693,x102691,a898),f317(f317(f10(x102691,f910(x102691,a898),x102693),a314),x102696)))))),f317(f300(x102693,x102691,x102696),x102695)),f317(f317(f8(x102693,x102692),x102694),x102695))+~P2(f317(f29(x102693),x102695))
% 192.07/191.93 [6987]~P108(x69873)+P2(f317(x69872,x69875))+E(f317(f126(x69871,x69872),f317(f317(f138(x69871,x69873,x69874),x69875),x69876)),f317(f126(x69871,x69872),x69876))
% 192.07/191.93 [6989]P2(f317(x69891,x69892))+~E(f156(x69893,x69891,x69894),f317(f317(f242(f904(x69893),f904(x69893)),x69895),x69896))+~P2(f317(f317(f319(x69893),x69892),f317(f162(x69893),x69895)))
% 192.07/191.93 [7035]~P2(f317(x70352,x70356))+~E(f156(x70351,x70352,x70353),f317(f317(f242(f904(x70351),f904(x70351)),x70354),x70355))+~P2(f317(f317(f319(x70351),x70356),f317(f162(x70351),x70355)))
% 192.07/191.93 [7702]~P15(x77021,x77022,x77023)+~P2(f317(f29(x77021),x77026))+E(f317(f317(f59(x77021,x77022,x77023),x77024),f317(f317(f299(x77021),x77025),x77026)),f317(f317(f59(x77021,x77022,x77023),f317(f317(x77023,x77025),x77024)),x77026))
% 192.07/191.93 [7755]~P108(x77552)+~P2(f317(f317(f226(x77552),f317(x77553,x77554)),f317(x77553,x77555)))+E(f317(f317(f138(x77551,x77552,x77553),x77554),f317(f317(f141(x77551),x77555),x77556)),f317(f317(f141(x77551),x77554),f317(f317(f141(x77551),x77555),x77556)))
% 192.07/191.93 [7868]E(x78681,x78682)+~E(f317(f317(f244(x78683,x78684),x78681),f317(f18(f910(x78684,a898),x78683),x78685)),f317(f317(f244(x78683,x78684),x78682),f317(f18(f910(x78684,a898),x78683),x78685)))+~P2(f317(f317(f319(x78684),x78686),x78685))
% 192.07/191.93 [7935]~P15(x79351,x79352,x79353)+~P2(f317(f29(x79351),x79356))+E(f317(f317(f59(x79351,x79352,x79353),x79354),f317(f317(f299(x79351),x79355),x79356)),f317(f317(x79353,x79355),f317(f317(f59(x79351,x79352,x79353),x79354),x79356)))
% 192.07/191.93 [8053]~P17(x80531,x80532,x80533)+~P2(f317(f29(x80531),x80536))+E(f317(f317(f59(x80531,x80532,x80533),f317(f317(x80533,x80534),x80535)),x80536),f317(f317(x80533,x80534),f317(f317(f59(x80531,x80532,x80533),x80535),x80536)))
% 192.07/191.93 [8121]~P21(x81212,x81215,x81216,x81211)+~P2(f317(f29(x81212),x81214))+E(f317(x81211,f317(f317(f299(x81212),x81213),x81214)),f317(f67(x81215,x81215,x81215,f317(x81211,x81214)),f317(x81216,x81213)))
% 192.07/191.93 [8153]~P108(x81532)+P2(f317(f317(f226(x81532),f317(x81533,x81534)),f317(x81533,x81535)))+E(f317(f317(f138(x81531,x81532,x81533),x81534),f317(f317(f141(x81531),x81535),x81536)),f317(f317(f141(x81531),x81535),f317(f317(f138(x81531,x81532,x81533),x81534),x81536)))
% 192.07/191.93 [8296]~E(f317(f179(f904(x82961)),x82965),f317(f179(f904(x82962)),x82966))+~E(f317(f179(f904(x82961)),x82963),f317(f179(f904(x82962)),x82964))+E(f317(f317(f124(f909(x82961,x82962)),f317(f317(f171(x82961,x82962),x82963),x82964)),f317(f317(f171(x82961,x82962),x82965),x82966)),f317(f317(f171(x82961,x82962),f317(f317(f124(x82961),x82963),x82965)),f317(f317(f124(x82962),x82964),x82966)))
% 192.07/191.93 [8408]~E(x84082,f317(f300(x84083,x84081,x84084),x84086))+P2(f317(f317(f226(f910(x84081,a898)),x84082),f317(f300(x84083,x84081,x84084),x84085)))+~P2(f317(f317(f226(f910(x84083,a898)),x84086),x84085))
% 192.07/191.93 [8510]~P108(x85105)+E(f317(x85101,x85102),f317(x85101,x85103))+E(f317(f317(f138(x85104,x85105,x85101),x85102),f317(f317(f138(x85104,x85105,x85101),x85103),x85106)),f317(f317(f138(x85104,x85105,x85101),x85103),f317(f317(f138(x85104,x85105,x85101),x85102),x85106)))
% 192.07/191.93 [8685]~P2(f317(f317(f319(x86852),x86854),f317(x86856,x86853)))+~P2(f317(f317(f319(x86851),x86853),x86855))+P2(f317(f317(f319(f909(x86851,x86852)),f317(f317(f242(x86851,x86852),x86853),x86854)),f317(f317(f244(x86851,x86852),x86855),x86856)))
% 192.07/191.93 [9159]~P71(x91592)+~P25(x91594,x91591,x91595,x91596)+E(f317(f317(f11(x91591,x91592),x91593),f317(f300(x91594,x91591,x91595),x91596)),f317(f317(f11(x91594,x91592),f317(f67(x91591,x91592,x91594,x91593),x91595)),x91596))
% 192.07/191.93 [9160]~P75(x91602)+~P25(x91604,x91601,x91605,x91606)+E(f317(f317(f8(x91601,x91602),x91603),f317(f300(x91604,x91601,x91605),x91606)),f317(f317(f8(x91604,x91602),f317(f67(x91601,x91602,x91604,x91603),x91605)),x91606))
% 192.07/191.93 [9207]~P34(x92072,x92075,x92071,x92073,x92076)+P2(f317(f317(x92071,f317(f317(f154(x92072),x92073),x92074)),f317(f317(f154(x92075),x92076),x92074)))+~P2(f317(f317(f227(a903),x92074),f317(f179(f904(x92075)),x92076)))
% 192.07/191.93 [9208]~P34(x92082,x92085,x92081,x92083,x92086)+P2(f317(f317(x92081,f317(f317(f154(x92082),x92083),x92084)),f317(f317(f154(x92085),x92086),x92084)))+~P2(f317(f317(f227(a903),x92084),f317(f179(f904(x92082)),x92083)))
% 192.07/191.93 [9219]~E(f317(f300(x92191,x92192,x92193),x92194),x92196)+E(f317(f300(x92191,x92192,x92193),f317(f300(x92192,x92191,f85(x92191,x92192,x92194,x92193)),x92195)),x92195)+~P2(f317(f317(f226(f910(x92192,a898)),x92195),x92196))
% 192.07/191.93 [9425]~P20(x94253,x94251,x94256,x94252)+~P2(f317(f29(x94253),x94254))+E(f317(f67(x94251,x94251,x94251,f317(x94252,f317(f317(f3(f910(x94253,a898)),x94254),f317(f317(f299(x94253),x94255),f178(f910(x94253,a898)))))),f317(x94256,x94255)),f317(x94252,f317(f317(f299(x94253),x94255),x94254)))
% 192.07/191.93 [10038]~E(f317(f300(x100382,x100384,x100386),f232(f910(x100382,a898))),f232(f910(x100384,a898)))+~E(f317(f300(x100381,x100383,x100385),f232(f910(x100381,a898))),f232(f910(x100383,a898)))+E(f317(f300(f909(x100381,x100382),f909(x100383,x100384),f248(x100381,x100383,x100382,x100384,x100385,x100386)),f232(f910(f909(x100381,x100382),a898))),f232(f910(f909(x100383,x100384),a898)))
% 192.07/191.93 [10096]~P25(x100963,x100964,x100965,f317(x100966,f531(x100966,x100965,x100964,x100963,x100962,x100961)))+P25(x100963,x100964,x100965,f317(f317(f35(x100962,f910(x100963,a898)),x100961),x100966))+E(x100961,f178(f910(x100962,a898)))
% 192.07/191.93 [10153]P25(x101536,x101535,x101534,f317(f317(f35(x101532,f910(x101536,a898)),x101531),x101533))+E(x101531,f178(f910(x101532,a898)))+P2(f317(f317(f319(x101532),f531(x101533,x101534,x101535,x101536,x101532,x101531)),x101531))
% 192.07/191.93 [10158]P2(f317(f317(f319(x101581),f689(x101582,x101583,x101584,x101585,x101586,x101581)),x101586))+P2(f317(f317(f226(f910(f909(x101581,x101584),a898)),f317(f317(f244(x101581,x101584),x101586),x101583)),f317(f317(f244(x101581,x101584),x101585),x101582)))+~P2(f317(f317(f226(f910(x101581,a898)),x101586),x101585))
% 192.07/191.93 [10287]~P2(f317(f317(f226(f910(x102872,a898)),f317(x102874,f689(x102876,x102874,x102872,x102875,x102873,x102871))),f317(x102876,f689(x102876,x102874,x102872,x102875,x102873,x102871))))+~P2(f317(f317(f226(f910(x102871,a898)),x102873),x102875))+P2(f317(f317(f226(f910(f909(x102871,x102872),a898)),f317(f317(f244(x102871,x102872),x102873),x102874)),f317(f317(f244(x102871,x102872),x102875),x102876)))
% 192.07/191.93 [7891]~P2(f317(x78911,x78915))+~P2(f317(x78916,x78914))+P2(f317(x78911,f317(f246(x78912,x78913),f317(f317(f242(x78912,x78913),x78914),x78915))))
% 192.07/191.93 [7892]~P2(f317(x78921,x78924))+~P2(f317(x78926,x78925))+P2(f317(x78921,f317(f241(x78922,x78923),f317(f317(f242(x78922,x78923),x78924),x78925))))
% 192.07/191.93 [7940]~P2(f317(f317(x79404,x79406),x79405))+~P2(f317(f317(f319(x79401),x79406),x79403))+P2(f317(f317(f317(f36(x79401,f910(x79402,a898)),x79403),x79404),x79405))
% 192.07/191.93 [8246]~P2(f317(f317(f319(x82461),x82462),f317(x82465,x82466)))+~P2(f317(f317(f319(x82463),x82466),x82464))+P2(f317(f317(f319(x82461),x82462),f317(f317(f36(x82463,f910(x82461,a898)),x82464),x82465)))
% 192.07/191.93 [8290]P2(f317(f317(x82901,x82902),x82903))+~P2(f317(f317(x82904,x82902),x82903))+~P2(f317(f317(f226(f910(x82905,f910(x82906,a898))),x82904),x82901))
% 192.07/191.93 [8431]P2(f317(f317(x84311,x84312),x84313))+~P2(f317(f317(f319(x84314),x84312),x84315))+~P2(f317(f317(f317(f35(x84314,f910(x84316,a898)),x84315),x84311),x84313))
% 192.07/191.93 [8567]P2(f317(f317(f319(x85671),x85672),f317(x85673,x85674)))+~P2(f317(f317(f319(x85675),x85674),x85676))+~P2(f317(f317(f319(x85671),x85672),f317(f317(f35(x85675,f910(x85671,a898)),x85676),x85673)))
% 192.07/191.93 [8834]~P12(x88344,x88345,x88346,x88341)+E(f317(x88341,x88342),f317(x88341,x88343))+~P2(f317(f317(f319(f909(x88344,x88344)),f317(f317(f242(x88344,x88344),x88342),x88343)),x88346))
% 192.07/191.93 [8869]P2(f317(f317(f226(f910(x88691,a898)),x88692),f317(x88693,x88694)))+~P2(f317(f317(f319(x88695),x88694),x88696))+~P2(f317(f317(f226(f910(x88691,a898)),x88692),f317(f317(f35(x88695,f910(x88691,a898)),x88696),x88693)))
% 192.07/191.93 [8902]~P54(x89023,x89024,f317(f276(x89024,x89023),x89025))+E(x89021,f178(f910(x89022,a898)))+E(f317(f317(f35(x89022,f910(x89023,a898)),x89021),f317(f317(f10(f910(x89024,a898),f910(x89023,a898),x89022),f275(x89024,x89023,x89025)),x89026)),f317(f275(x89024,x89023,x89025),f317(f317(f35(x89022,f910(x89024,a898)),x89021),x89026)))
% 192.07/191.93 [8980]P2(f317(f317(f319(x89801),x89802),f317(f275(x89803,x89801,x89804),x89805)))+~P2(f317(f317(f319(x89803),x89806),x89805))+~P2(f317(f317(f319(f909(x89803,x89801)),f317(f317(f242(x89803,x89801),x89806),x89802)),x89804))
% 192.07/191.93 [9284]P2(f317(f317(f226(f910(x92841,a898)),f317(f275(x92842,x92841,x92843),x92844)),f317(f275(x92842,x92841,x92845),x92846)))+~P2(f317(f317(f226(f910(x92842,a898)),x92844),x92846))+~P2(f317(f317(f226(f910(f909(x92842,x92841),a898)),x92843),x92845))
% 192.07/191.93 [9474]~P2(f317(f317(f319(x94742),x94746),x94744))+~P2(f317(f317(f226(f910(x94741,a898)),x94743),x94745))+P2(f317(f317(f226(f910(f909(x94741,x94742),a898)),f317(f317(f244(x94741,x94742),x94743),f317(f18(f910(x94742,a898),x94741),x94744))),f317(f317(f244(x94741,x94742),x94745),f317(f18(f910(x94742,a898),x94741),x94744))))
% 192.07/191.93 [9486]~P34(x94861,x94862,x94863,x94865,x94866)+P2(f317(f317(f247(x94861,x94862,a898),x94863),x94864))+~P2(f317(f317(f319(f909(x94861,x94862)),x94864),f317(f162(f909(x94861,x94862)),f317(f317(f171(x94861,x94862),x94865),x94866))))
% 192.07/191.93 [9634]~E(x96343,x96345)+P2(f317(f317(f319(f909(f904(x96341),f904(x96341))),f317(f317(f242(f904(x96341),f904(x96341)),f317(f317(f141(x96341),x96342),x96343)),f317(f317(f141(x96341),x96344),x96345))),f147(x96341,x96346)))+~P2(f317(f317(f319(f909(x96341,x96341)),f317(f317(f242(x96341,x96341),x96342),x96344)),x96346))
% 192.07/191.93 [9640]~E(f317(f179(f904(x96401)),x96403),f317(f179(f904(x96401)),x96405))+P2(f317(f317(f319(f909(f904(x96401),f904(x96401))),f317(f317(f242(f904(x96401),f904(x96401)),f317(f317(f141(x96401),x96402),x96403)),f317(f317(f141(x96401),x96404),x96405))),f135(x96401,x96406)))+~P2(f317(f317(f319(f909(x96401,x96401)),f317(f317(f242(x96401,x96401),x96402),x96404)),x96406))
% 192.07/191.93 [9673]P2(f317(f317(f319(f909(x96731,x96731)),f317(f317(f242(x96731,x96731),x96732),x96733)),f317(f317(f173(f909(x96731,x96731),a898),f317(a102,x96734)),x96735)))+~P2(f317(f317(f319(f909(x96731,x96731)),f317(f317(f242(x96731,x96731),x96736),x96733)),x96735))+~P2(f317(f317(f319(f909(x96731,x96731)),f317(f317(f242(x96731,x96731),x96732),x96736)),f317(f317(f173(f909(x96731,x96731),a898),x96734),x96735)))
% 192.07/191.93 [9674]P2(f317(f317(f319(f909(x96741,x96741)),f317(f317(f242(x96741,x96741),x96742),x96743)),f317(f317(f173(f909(x96741,x96741),a898),f317(a102,x96744)),x96745)))+~P2(f317(f317(f319(f909(x96741,x96741)),f317(f317(f242(x96741,x96741),x96742),x96746)),x96745))+~P2(f317(f317(f319(f909(x96741,x96741)),f317(f317(f242(x96741,x96741),x96746),x96743)),f317(f317(f173(f909(x96741,x96741),a898),x96744),x96745)))
% 192.07/191.93 [9677]~P2(f317(f317(f319(x96774),x96775),x96776))+P2(f317(f317(f226(f910(x96771,a898)),x96772),x96773))+~P2(f317(f317(f226(f910(f909(x96771,x96774),a898)),f317(f317(f244(x96771,x96774),x96772),f317(f18(f910(x96774,a898),x96771),x96776))),f317(f317(f244(x96771,x96774),x96773),f317(f18(f910(x96774,a898),x96771),x96776))))
% 192.07/191.93 [9722]E(x97221,x97222)+~P2(f317(f317(f319(f909(f904(x97223),f904(x97223))),f317(f317(f242(f904(x97223),f904(x97223)),f317(f317(f141(x97223),x97221),x97225)),f317(f317(f141(x97223),x97222),x97226))),f135(x97223,x97224)))+P2(f317(f317(f319(f909(x97223,x97223)),f317(f317(f242(x97223,x97223),x97221),x97222)),x97224))
% 192.07/191.93 [9723]E(x97231,x97232)+~P2(f317(f317(f319(f909(f904(x97233),f904(x97233))),f317(f317(f242(f904(x97233),f904(x97233)),f317(f317(f141(x97233),x97231),x97235)),f317(f317(f141(x97233),x97232),x97236))),f137(x97233,x97234)))+P2(f317(f317(f319(f909(x97233,x97233)),f317(f317(f242(x97233,x97233),x97231),x97232)),x97234))
% 192.07/191.93 [9724]E(x97241,x97242)+~P2(f317(f317(f319(f909(f904(x97243),f904(x97243))),f317(f317(f242(f904(x97243),f904(x97243)),f317(f317(f141(x97243),x97241),x97245)),f317(f317(f141(x97243),x97242),x97246))),f147(x97243,x97244)))+P2(f317(f317(f319(f909(x97243,x97243)),f317(f317(f242(x97243,x97243),x97241),x97242)),x97244))
% 192.07/191.93 [9760]P2(f317(f317(f319(f909(f904(x97601),f904(x97601))),f317(f317(f242(f904(x97601),f904(x97601)),f317(f317(f141(x97601),x97602),x97603)),f317(f317(f141(x97601),x97604),x97605))),f148(x97601,x97606)))+~P2(f317(f317(f319(f909(f904(x97601),f904(x97601))),f317(f317(f242(f904(x97601),f904(x97601)),x97603),x97605)),f148(x97601,x97606)))+~P2(f317(f317(f319(f909(x97601,x97601)),f317(f317(f242(x97601,x97601),x97602),x97604)),x97606))
% 192.07/191.93 [9777]P2(f317(x97771,x97772))+~P2(f317(x97771,f502(x97771,x97773,x97774,x97775,x97776)))+~P2(f317(f317(f319(x97776),x97772),f317(f317(f36(x97775,f910(x97776,a898)),x97774),x97773)))
% 192.07/191.93 [9782]~P2(f317(f317(f319(f909(f904(x97821),f904(x97821))),f317(f317(f242(f904(x97821),f904(x97821)),f317(f317(f141(x97821),x97822),x97825)),f317(f317(f141(x97821),x97823),x97826))),f135(x97821,x97824)))+P2(f317(f317(f319(f909(f904(x97821),f904(x97821))),f317(f317(f242(f904(x97821),f904(x97821)),x97825),x97826)),f135(x97821,x97824)))+P2(f317(f317(f319(f909(x97821,x97821)),f317(f317(f242(x97821,x97821),x97822),x97823)),x97824))
% 192.07/191.93 [9783]~P2(f317(f317(f319(f909(f904(x97831),f904(x97831))),f317(f317(f242(f904(x97831),f904(x97831)),f317(f317(f141(x97831),x97832),x97835)),f317(f317(f141(x97831),x97833),x97836))),f137(x97831,x97834)))+P2(f317(f317(f319(f909(f904(x97831),f904(x97831))),f317(f317(f242(f904(x97831),f904(x97831)),x97835),x97836)),f137(x97831,x97834)))+P2(f317(f317(f319(f909(x97831,x97831)),f317(f317(f242(x97831,x97831),x97832),x97833)),x97834))
% 192.07/191.93 [9784]~P2(f317(f317(f319(f909(f904(x97841),f904(x97841))),f317(f317(f242(f904(x97841),f904(x97841)),f317(f317(f141(x97841),x97842),x97845)),f317(f317(f141(x97841),x97843),x97846))),f147(x97841,x97844)))+P2(f317(f317(f319(f909(f904(x97841),f904(x97841))),f317(f317(f242(f904(x97841),f904(x97841)),x97845),x97846)),f147(x97841,x97844)))+P2(f317(f317(f319(f909(x97841,x97841)),f317(f317(f242(x97841,x97841),x97842),x97843)),x97844))
% 192.07/191.93 [9873]P2(f317(x98731,x98732))+P2(f317(f317(f319(x98733),f503(x98731,x98734,x98735,x98733,x98736)),x98735))+~P2(f317(f317(f319(x98736),x98732),f317(f317(f36(x98733,f910(x98736,a898)),x98735),x98734)))
% 192.07/191.93 [9885]~E(x98852,x98854)+P2(f317(f317(f319(f909(f904(x98851),f904(x98851))),f317(f317(f242(f904(x98851),f904(x98851)),f317(f317(f124(x98851),x98852),f317(f317(f141(x98851),x98853),f103(x98851)))),f317(f317(f124(x98851),x98854),f317(f317(f141(x98851),x98855),f103(x98851))))),f147(x98851,x98856)))+~P2(f317(f317(f319(f909(x98851,x98851)),f317(f317(f242(x98851,x98851),x98853),x98855)),x98856))
% 192.07/191.93 [9959]E(x99591,x99592)+~P2(f317(f317(f319(f909(f904(x99593),f904(x99593))),f317(f317(f242(f904(x99593),f904(x99593)),f317(f317(f124(x99593),x99595),f317(f317(f141(x99593),x99591),f103(x99593)))),f317(f317(f124(x99593),x99596),f317(f317(f141(x99593),x99592),f103(x99593))))),f147(x99593,x99594)))+P2(f317(f317(f319(f909(x99593,x99593)),f317(f317(f242(x99593,x99593),x99591),x99592)),x99594))
% 192.07/191.93 [9990]~P2(f317(f317(f319(f909(f904(x99901),f904(x99901))),f317(f317(f242(f904(x99901),f904(x99901)),f317(f317(f124(x99901),x99905),f317(f317(f141(x99901),x99902),f103(x99901)))),f317(f317(f124(x99901),x99906),f317(f317(f141(x99901),x99903),f103(x99901))))),f147(x99901,x99904)))+P2(f317(f317(f319(f909(f904(x99901),f904(x99901))),f317(f317(f242(f904(x99901),f904(x99901)),x99905),x99906)),f147(x99901,x99904)))+P2(f317(f317(f319(f909(x99901,x99901)),f317(f317(f242(x99901,x99901),x99902),x99903)),x99904))
% 192.07/191.93 [10010]P2(f317(x100101,x100102))+P2(f317(f317(f319(x100103),f502(x100101,x100104,x100105,x100106,x100103)),f317(x100104,f503(x100101,x100104,x100105,x100106,x100103))))+~P2(f317(f317(f319(x100103),x100102),f317(f317(f36(x100106,f910(x100103,a898)),x100105),x100104)))
% 192.07/191.93 [10162]P2(f317(f317(f319(x101621),f819(x101622,x101623,x101624,x101625,x101626,x101621)),x101625))+~P2(f317(f317(f226(f910(x101621,a898)),x101626),x101625))+P2(f317(f317(f226(f910(x101624,a898)),f317(f317(f35(x101621,f910(x101624,a898)),x101625),x101623)),f317(f317(f35(x101621,f910(x101624,a898)),x101625),x101622)))
% 192.07/191.93 [10288]~P2(f317(f317(f226(f910(x102881,a898)),f317(x102884,f819(x102885,x102884,x102881,x102883,x102886,x102882))),f317(x102885,f819(x102885,x102884,x102881,x102883,x102886,x102882))))+~P2(f317(f317(f226(f910(x102882,a898)),x102886),x102883))+P2(f317(f317(f226(f910(x102881,a898)),f317(f317(f35(x102882,f910(x102881,a898)),x102883),x102884)),f317(f317(f35(x102882,f910(x102881,a898)),x102883),x102885)))
% 192.07/191.93 [9000]~P17(x90003,x90004,x90001)+~P2(f317(f29(x90003),x90006))+E(f317(f317(x90001,x90002),f317(f317(f59(x90003,x90004,x90001),x90005),f317(f317(f3(f910(x90003,a898)),x90006),f317(f317(f299(x90003),x90002),f178(f910(x90003,a898)))))),f317(f317(f59(x90003,x90004,x90001),x90005),f317(f317(f299(x90003),x90002),x90006)))
% 192.07/191.93 [9293]~P2(f317(f317(f319(x92935),x92933),x92936))+P2(f317(f317(f226(f910(x92931,a898)),f317(x92932,x92933)),x92934))+~P2(f317(f317(f226(f910(x92931,a898)),f317(f317(f36(x92935,f910(x92931,a898)),x92936),x92932)),x92934))
% 192.07/191.93 [9934]~P9(x99341,x99345,x99344)+P2(f317(f317(f319(f909(x99341,x99341)),f317(f317(f242(x99341,x99341),x99342),x99343)),x99344))+~P2(f317(f317(f319(x99341),x99346),f317(f317(f91(f910(x99341,a898)),f317(f275(x99341,x99341,x99344),f317(f317(f299(x99341),x99342),f178(f910(x99341,a898))))),f317(f275(x99341,x99341,x99344),f317(f317(f299(x99341),x99343),f178(f910(x99341,a898)))))))
% 192.07/191.93 [8722]~P128(x87222)+~E(f317(f317(f74(x87222),f317(f317(f75(x87222),x87224),x87225)),x87221),f317(f317(f74(x87222),f317(f317(f75(x87222),x87223),x87225)),x87226))+E(x87221,f317(f317(f74(x87222),f317(f317(f75(x87222),f317(f317(f3(x87222),x87223),x87224)),x87225)),x87226))
% 192.07/191.93 [8723]~P128(x87231)+~E(f317(f317(f74(x87231),f317(f317(f75(x87231),x87232),x87234)),x87235),f317(f317(f74(x87231),f317(f317(f75(x87231),x87233),x87234)),x87236))+E(f317(f317(f74(x87231),f317(f317(f75(x87231),f317(f317(f3(x87231),x87232),x87233)),x87234)),x87235),x87236)
% 192.07/191.93 [8905]~P128(x89051)+E(f317(f317(f74(x89051),f317(f317(f75(x89051),x89052),x89053)),x89054),f317(f317(f74(x89051),f317(f317(f75(x89051),x89055),x89053)),x89056))+~E(x89056,f317(f317(f74(x89051),f317(f317(f75(x89051),f317(f317(f3(x89051),x89052),x89055)),x89053)),x89054))
% 192.07/191.93 [8906]~P128(x89061)+E(f317(f317(f74(x89061),f317(f317(f75(x89061),x89062),x89063)),x89064),f317(f317(f74(x89061),f317(f317(f75(x89061),x89065),x89063)),x89066))+~E(f317(f317(f74(x89061),f317(f317(f75(x89061),f317(f317(f3(x89061),x89062),x89065)),x89063)),x89064),x89066)
% 192.07/191.93 [9230]~P2(f317(f317(x92304,x92305),x92306))+~P2(f317(f317(x92303,x92305),x92306))+P2(f317(f317(f317(f317(f91(f910(x92301,f910(x92302,a898))),x92303),x92304),x92305),x92306))
% 192.07/191.93 [9495]P2(f317(f317(x94951,x94952),x94953))+P2(f317(f317(x94954,x94952),x94953))+~P2(f317(f317(f317(f317(f100(f910(x94955,f910(x94956,a898))),x94954),x94951),x94952),x94953))
% 192.07/191.93 [9797]~P129(x97971)+~P2(f317(f317(f226(x97971),f317(f317(f74(x97971),f317(f317(f75(x97971),x97974),x97975)),x97972)),f317(f317(f74(x97971),f317(f317(f75(x97971),x97973),x97975)),x97976)))+P2(f317(f317(f226(x97971),x97972),f317(f317(f74(x97971),f317(f317(f75(x97971),f317(f317(f3(x97971),x97973),x97974)),x97975)),x97976)))
% 192.07/191.93 [9798]~P129(x97981)+~P2(f317(f317(f227(x97981),f317(f317(f74(x97981),f317(f317(f75(x97981),x97984),x97985)),x97982)),f317(f317(f74(x97981),f317(f317(f75(x97981),x97983),x97985)),x97986)))+P2(f317(f317(f227(x97981),x97982),f317(f317(f74(x97981),f317(f317(f75(x97981),f317(f317(f3(x97981),x97983),x97984)),x97985)),x97986)))
% 192.07/191.93 [9821]~P129(x98211)+P2(f317(f317(f226(x98211),f317(f317(f74(x98211),f317(f317(f75(x98211),x98212),x98213)),x98214)),f317(f317(f74(x98211),f317(f317(f75(x98211),x98215),x98213)),x98216)))+~P2(f317(f317(f226(x98211),x98214),f317(f317(f74(x98211),f317(f317(f75(x98211),f317(f317(f3(x98211),x98215),x98212)),x98213)),x98216)))
% 192.07/191.93 [9822]~P129(x98221)+P2(f317(f317(f227(x98221),f317(f317(f74(x98221),f317(f317(f75(x98221),x98222),x98223)),x98224)),f317(f317(f74(x98221),f317(f317(f75(x98221),x98225),x98223)),x98226)))+~P2(f317(f317(f227(x98221),x98224),f317(f317(f74(x98221),f317(f317(f75(x98221),f317(f317(f3(x98221),x98225),x98222)),x98223)),x98226)))
% 192.07/191.93 [9926]~P129(x99261)+~P2(f317(f317(f226(x99261),f317(f317(f74(x99261),f317(f317(f75(x99261),x99262),x99264)),x99265)),f317(f317(f74(x99261),f317(f317(f75(x99261),x99263),x99264)),x99266)))+P2(f317(f317(f226(x99261),f317(f317(f74(x99261),f317(f317(f75(x99261),f317(f317(f3(x99261),x99262),x99263)),x99264)),x99265)),x99266))
% 192.07/191.93 [9927]~P129(x99271)+~P2(f317(f317(f227(x99271),f317(f317(f74(x99271),f317(f317(f75(x99271),x99272),x99274)),x99275)),f317(f317(f74(x99271),f317(f317(f75(x99271),x99273),x99274)),x99276)))+P2(f317(f317(f227(x99271),f317(f317(f74(x99271),f317(f317(f75(x99271),f317(f317(f3(x99271),x99272),x99273)),x99274)),x99275)),x99276))
% 192.07/191.93 [9973]~P129(x99731)+P2(f317(f317(f226(x99731),f317(f317(f74(x99731),f317(f317(f75(x99731),x99732),x99733)),x99734)),f317(f317(f74(x99731),f317(f317(f75(x99731),x99735),x99733)),x99736)))+~P2(f317(f317(f226(x99731),f317(f317(f74(x99731),f317(f317(f75(x99731),f317(f317(f3(x99731),x99732),x99735)),x99733)),x99734)),x99736))
% 192.07/191.93 [9974]~P129(x99741)+P2(f317(f317(f227(x99741),f317(f317(f74(x99741),f317(f317(f75(x99741),x99742),x99743)),x99744)),f317(f317(f74(x99741),f317(f317(f75(x99741),x99745),x99743)),x99746)))+~P2(f317(f317(f227(x99741),f317(f317(f74(x99741),f317(f317(f75(x99741),f317(f317(f3(x99741),x99742),x99745)),x99743)),x99744)),x99746))
% 192.07/191.93 [10147]~P75(x101472)+~P2(f317(f29(x101471),x101476))+E(f317(f317(f8(x101471,x101472),f317(f317(f20(x101471,x101472,x101472),f317(f317(f20(x101471,x101472,f910(x101472,x101472)),f317(f317(f10(a898,f910(x101472,f910(x101472,x101472)),x101471),f86(x101472)),x101473)),x101474)),x101475)),x101476),f317(f317(f74(x101472),f317(f317(f8(x101471,x101472),x101474),f317(f317(f91(f910(x101471,a898)),x101476),f317(f252(x101471),x101473)))),f317(f317(f8(x101471,x101472),x101475),f317(f317(f91(f910(x101471,a898)),x101476),f317(f73(f910(x101471,a898)),f317(f252(x101471),x101473))))))
% 192.07/191.93 [10207]P2(f317(f317(f319(x102072),x102074),x102076))+P2(f317(f317(f319(x102072),x102075),x102076))+E(f317(f301(x102071,x102072,f317(f317(f9(x102071,x102072,x102072),f317(f317(f9(x102071,x102072,f910(x102072,x102072)),f317(f317(f10(a898,f910(x102072,f910(x102072,x102072)),x102071),f86(x102072)),f317(f317(f9(x102071,f910(x102071,a898),a898),f319(x102071)),x102073))),x102074)),x102075)),x102076),f178(f910(x102071,a898)))
% 192.07/191.93 [10208]P2(f317(f317(f319(x102082),x102085),x102086))+~P2(f317(f317(f319(x102082),x102084),x102086))+E(f317(f301(x102081,x102082,f317(f317(f9(x102081,x102082,x102082),f317(f317(f9(x102081,x102082,f910(x102082,x102082)),f317(f317(f10(a898,f910(x102082,f910(x102082,x102082)),x102081),f86(x102082)),f317(f317(f9(x102081,f910(x102081,a898),a898),f319(x102081)),x102083))),x102084)),x102085)),x102086),x102083)
% 192.07/191.93 [10209]P2(f317(f317(f319(x102092),x102094),x102096))+~P2(f317(f317(f319(x102092),x102095),x102096))+E(f317(f301(x102091,x102092,f317(f317(f9(x102091,x102092,x102092),f317(f317(f9(x102091,x102092,f910(x102092,x102092)),f317(f317(f10(a898,f910(x102092,f910(x102092,x102092)),x102091),f86(x102092)),f317(f317(f9(x102091,f910(x102091,a898),a898),f319(x102091)),x102093))),x102094)),x102095)),x102096),f317(f73(f910(x102091,a898)),x102093))
% 192.07/191.93 [10210]~P2(f317(f317(f319(x102102),x102104),x102106))+~P2(f317(f317(f319(x102102),x102105),x102106))+E(f317(f301(x102101,x102102,f317(f317(f9(x102101,x102102,x102102),f317(f317(f9(x102101,x102102,f910(x102102,x102102)),f317(f317(f10(a898,f910(x102102,f910(x102102,x102102)),x102101),f86(x102102)),f317(f317(f9(x102101,f910(x102101,a898),a898),f319(x102101)),x102103))),x102104)),x102105)),x102106),f232(f910(x102101,a898)))
% 192.07/191.93 [8755]E(x87551,x87552)+~P56(x87554,x87555,x87553,x87556,x87557)+~E(f317(x87553,x87551),f317(x87553,x87552))
% 192.07/191.93 [8784]~P11(x87846,x87845,x87847,x87844,x87841)+E(f317(f317(x87841,x87842),x87843),x87844)+P2(f317(f29(x87845),x87843))
% 192.07/191.93 [9664]P42(x96641,x96642,x96643,x96644,x96645,f317(f317(x96643,x96646),x96647))+~E(f317(f317(x96643,x96646),x96647),x96644)+~E(x96645,f178(f910(x96641,a898)))
% 192.07/191.93 [9843]~P2(f317(x98436,x98433))+~P2(f317(f317(f319(f909(x98432,x98432)),f317(f317(f242(x98432,x98432),x98434),x98435)),f317(x98437,x98433)))+P2(f317(f317(f319(f909(f909(x98431,x98432),f909(x98431,x98432))),f317(f317(f242(f909(x98431,x98432),f909(x98431,x98432)),f317(f317(f242(x98431,x98432),x98433),x98434)),f317(f317(f242(x98431,x98432),x98433),x98435))),f270(x98431,x98432,x98436,x98437)))
% 192.07/191.93 [10272]~P42(x102722,x102727,x102723,x102726,x102721,f317(f317(x102723,x102725),x102724))+E(f317(f317(x102723,f483(x102724,x102725,x102721,x102726,x102723,x102727,x102722)),f491(x102724,x102725,x102721,x102726,x102723,x102727,x102722)),f317(f317(x102723,x102725),x102724))+E(x102721,f178(f910(x102722,a898)))
% 192.07/191.93 [10273]~P42(x102737,x102736,x102731,x102734,x102735,f317(f317(x102731,x102732),x102733))+E(f317(f317(x102731,f483(x102733,x102732,x102735,x102734,x102731,x102736,x102737)),f491(x102733,x102732,x102735,x102734,x102731,x102736,x102737)),f317(f317(x102731,x102732),x102733))+E(f317(f317(x102731,x102732),x102733),x102734)
% 192.07/191.93 [9327]~P34(x93271,x93272,x93273,x93275,x93277)+P34(x93271,x93272,x93273,f317(f317(f141(x93271),x93274),x93275),f317(f317(f141(x93272),x93276),x93277))+~P2(f317(f317(x93273,x93274),x93276))
% 192.07/191.93 [9346]P34(x93461,x93462,x93463,x93464,x93465)+~P34(x93461,x93462,x93463,f317(f317(f124(x93461),x93466),x93464),f317(f317(f124(x93462),x93467),x93465))+~E(f317(f179(f904(x93461)),x93466),f317(f179(f904(x93462)),x93467))
% 192.07/191.93 [9347]P34(x93471,x93472,x93473,x93474,x93475)+~P34(x93471,x93472,x93473,f317(f317(f124(x93471),x93474),x93476),f317(f317(f124(x93472),x93475),x93477))+~E(f317(f179(f904(x93471)),x93474),f317(f179(f904(x93472)),x93475))
% 192.07/191.93 [9562]~P34(x95621,x95622,x95623,x95625,x95627)+~P34(x95621,x95622,x95623,x95624,x95626)+P34(x95621,x95622,x95623,f317(f317(f124(x95621),x95624),x95625),f317(f317(f124(x95622),x95626),x95627))
% 192.07/191.93 [9919]~P2(f317(f61(x99191,x99194,x99195,x99196,x99193),x99197))+P2(f317(f61(x99191,x99194,x99195,x99196,f317(f317(f299(x99191),x99192),x99193)),f317(f317(x99195,x99192),x99197)))+P2(f317(f317(f319(x99191),x99192),x99193))
% 192.07/191.93 [10304]~P42(x103042,x103047,x103046,x103045,x103041,f317(f317(x103046,x103044),x103043))+E(x103041,f178(f910(x103042,a898)))+P2(f317(f317(f319(x103042),f483(x103043,x103044,x103041,x103045,x103046,x103047,x103042)),x103041))
% 192.07/191.93 [10305]~P42(x103055,x103057,x103051,x103054,x103056,f317(f317(x103051,x103052),x103053))+E(f317(f317(x103051,x103052),x103053),x103054)+P2(f317(f317(f319(x103055),f483(x103053,x103052,x103056,x103054,x103051,x103057,x103055)),x103056))
% 192.07/191.93 [10392]E(f317(f317(f242(x103921,x103922),x103923),x103924),f317(f317(f242(x103921,x103922),x103925),x103926))+P2(f317(f317(f319(f909(f909(x103921,x103922),f909(x103921,x103922))),f317(f317(f242(f909(x103921,x103922),f909(x103921,x103922)),f317(f317(f242(x103921,x103922),f832(x103927,x103924,x103923,x103926,x103925,x103922,x103921)),f833(x103927,x103924,x103923,x103926,x103925,x103922,x103921))),f317(f317(f242(x103921,x103922),x103923),x103924))),f297(f909(x103921,x103922),x103927)))+~P2(f317(f317(f319(f909(f909(x103921,x103922),f909(x103921,x103922))),f317(f317(f242(f909(x103921,x103922),f909(x103921,x103922)),f317(f317(f242(x103921,x103922),x103925),x103926)),f317(f317(f242(x103921,x103922),x103923),x103924))),f297(f909(x103921,x103922),x103927)))
% 192.07/191.93 [9025]~P22(x90254,x90255,x90256,x90257,x90251)+~P2(f317(f29(x90255),x90253))+E(f317(f317(x90251,x90252),x90253),f317(f317(f317(f60(x90254,x90255,x90256),x90252),x90257),x90253))
% 192.07/191.93 [9026]~P11(x90264,x90265,x90266,x90267,x90261)+~P2(f317(f29(x90265),x90263))+E(f317(f317(x90261,x90262),x90263),f317(f317(f317(f60(x90264,x90265,x90266),x90262),x90267),x90263))
% 192.07/191.93 [9816]~P24(x98163,x98164,x98165,x98167,x98166,x98161)+~P2(f317(f29(x98164),x98162))+E(f317(x98161,x98162),f317(f317(f317(f60(x98163,x98164,x98165),x98166),x98167),x98162))
% 192.07/191.93 [9968]P42(x99681,x99682,x99683,x99684,x99685,f317(f317(x99683,x99686),x99687))+~P42(x99681,x99682,x99683,x99684,f317(f317(f3(f910(x99681,a898)),x99685),f317(f317(f299(x99681),x99686),f178(f910(x99681,a898)))),x99687)+~P2(f317(f317(f319(x99681),x99686),x99685))
% 192.07/191.93 [10328]P2(f317(f317(x103287,f774(x103284,x103285,x103281,x103286,x103283,x103282,x103287)),f775(x103284,x103285,x103281,x103286,x103283,x103282,x103287)))+~P2(f317(f317(x103287,f317(f246(x103282,x103283),x103286)),f317(f241(x103282,x103283),x103286)))+P2(f317(x103281,f317(f317(f247(x103282,x103283,x103284),x103285),x103286)))
% 192.07/191.93 [10338]~P42(x103382,x103383,x103384,x103385,x103381,f317(f317(x103384,x103387),x103386))+P42(x103382,x103383,x103384,x103385,f317(f317(f3(f910(x103382,a898)),x103381),f317(f317(f299(x103382),f483(x103386,x103387,x103381,x103385,x103384,x103383,x103382)),f178(f910(x103382,a898)))),f491(x103386,x103387,x103381,x103385,x103384,x103383,x103382))+E(x103381,f178(f910(x103382,a898)))
% 192.07/191.93 [10339]~P42(x103395,x103396,x103391,x103394,x103397,f317(f317(x103391,x103392),x103393))+P42(x103395,x103396,x103391,x103394,f317(f317(f3(f910(x103395,a898)),x103397),f317(f317(f299(x103395),f483(x103393,x103392,x103397,x103394,x103391,x103396,x103395)),f178(f910(x103395,a898)))),f491(x103393,x103392,x103397,x103394,x103391,x103396,x103395))+E(f317(f317(x103391,x103392),x103393),x103394)
% 192.07/191.93 [10359]~P2(f317(x103591,f317(f317(x103595,f775(x103594,x103595,x103591,x103596,x103593,x103592,x103597)),f774(x103594,x103595,x103591,x103596,x103593,x103592,x103597))))+~P2(f317(f317(x103597,f317(f246(x103592,x103593),x103596)),f317(f241(x103592,x103593),x103596)))+P2(f317(x103591,f317(f317(f247(x103592,x103593,x103594),x103595),x103596)))
% 192.07/191.93 [9648]P2(f317(f317(f226(f910(f909(x96481,x96482),a898)),f317(f317(f279(x96481,x96483,x96482),x96484),x96485)),f317(f317(f279(x96481,x96483,x96482),x96486),x96487)))+~P2(f317(f317(f226(f910(f909(x96483,x96482),a898)),x96485),x96487))+~P2(f317(f317(f226(f910(f909(x96481,x96483),a898)),x96484),x96486))
% 192.07/191.93 [10386]E(f317(f317(f242(x103861,x103862),x103863),x103864),f317(f317(f242(x103861,x103862),x103865),x103866))+~P2(f317(f317(f319(f909(f909(x103861,x103862),f909(x103861,x103862))),f317(f317(f242(f909(x103861,x103862),f909(x103861,x103862)),f317(f317(f242(x103861,x103862),x103863),x103864)),f317(f317(f242(x103861,x103862),x103865),x103866))),f297(f909(x103861,x103862),x103867)))+P2(f317(f317(f319(f909(f909(x103861,x103862),f909(x103861,x103862))),f317(f317(f242(f909(x103861,x103862),f909(x103861,x103862)),f317(f317(f242(x103861,x103862),x103863),x103864)),f317(f317(f242(x103861,x103862),f832(x103867,x103866,x103865,x103864,x103863,x103862,x103861)),f833(x103867,x103866,x103865,x103864,x103863,x103862,x103861)))),x103867))
% 192.07/191.93 [9979]~P2(f317(f317(f319(x99791),x99796),x99795))+P2(f317(f61(x99791,x99792,x99793,x99794,x99795),f317(f317(x99793,x99796),x99797)))+~P2(f317(f61(x99791,x99792,x99793,x99794,f317(f317(f3(f910(x99791,a898)),x99795),f317(f317(f299(x99791),x99796),f178(f910(x99791,a898))))),x99797))
% 192.07/191.93 [10399]~P146(x103991)+~P25(f909(x103992,x103993),x103991,f317(f247(x103992,x103993,x103991),f317(f317(f9(x103992,f910(x103993,x103991),f910(x103993,x103991)),f317(f317(f10(f910(x103991,x103991),f910(f910(x103993,x103991),f910(x103993,x103991)),x103992),f10(x103991,x103991,x103993)),f317(f317(f10(x103991,f910(x103991,x103991),x103992),f75(x103991)),x103994))),x103995)),f317(f317(f244(x103992,x103993),x103996),f317(f18(f910(x103993,a898),x103992),x103997)))+E(f317(f317(f8(x103991,x103991),f25(x103991)),f317(f252(x103991),f317(f317(f10(f910(x103992,a898),a898,x103991),f81(x103992)),f317(f317(f10(f910(x103992,f910(x103993,a898)),f910(x103992,a898),x103991),f317(f10(f910(x103993,a898),a898,x103992),f81(x103993))),f317(f317(f9(x103991,f910(x103992,f910(x103993,a898)),f910(x103992,f910(x103993,a898))),f317(f317(f10(f910(x103992,f910(f910(x103993,a898),f910(x103993,a898))),f910(f910(x103992,f910(x103993,a898)),f910(x103992,f910(x103993,a898))),x103991),f20(x103992,f910(x103993,a898),f910(x103993,a898))),f317(f317(f10(f910(x103992,f910(x103993,f910(a898,a898))),f910(x103992,f910(f910(x103993,a898),f910(x103993,a898))),x103991),f317(f10(f910(x103993,f910(a898,a898)),f910(f910(x103993,a898),f910(x103993,a898)),x103992),f20(x103993,a898,a898))),f317(f317(f10(f910(x103992,f910(x103993,a898)),f910(x103992,f910(x103993,f910(a898,a898))),x103991),f317(f10(f910(x103993,a898),f910(x103993,f910(a898,a898)),x103992),f317(f10(a898,f910(a898,a898),x103993),a315))),f317(f317(f9(x103991,f910(x103992,f910(x103993,x103991)),f910(x103992,f910(x103993,a898))),f317(f317(f10(f910(f910(x103993,x103991),f910(x103993,a898)),f910(f910(x103992,f910(x103993,x103991)),f910(x103992,f910(x103993,a898))),x103991),f10(f910(x103993,x103991),f910(x103993,a898),x103992)),f317(f317(f10(f910(x103991,a898),f910(f910(x103993,x103991),f910(x103993,a898)),x103991),f10(x103991,a898,x103993)),a314))),f317(f317(f9(x103992,f910(x103993,x103991),f910(x103993,x103991)),f317(f317(f10(f910(x103991,x103991),f910(f910(x103993,x103991),f910(x103993,x103991)),x103992),f10(x103991,x103991,x103993)),f317(f317(f10(x103991,f910(x103991,x103991),x103992),f75(x103991)),x103994))),x103995)))))),f317(f317(f9(x103992,f910(x103993,a898),f910(x103993,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x103993,a898),f910(x103993,a898)),x103992),f10(a898,a898,x103993)),f317(f317(f10(a898,f910(a898,a898),x103992),a315),f317(f317(f9(x103992,f910(x103992,a898),a898),f319(x103992)),x103996)))),f317(f317(f9(x103993,f910(x103993,a898),a898),f319(x103993)),x103997))))))),f317(f317(f75(x103991),f317(f317(f8(x103992,x103991),x103994),x103996)),f317(f317(f8(x103993,x103991),x103995),x103997)))
% 192.07/191.93 [9652]~P26(x96521,x96523,x96525,x96526,x96528)+~P26(x96523,x96522,x96524,x96528,x96527)+P26(x96521,x96522,f317(f67(x96523,x96522,x96521,x96524),x96525),x96526,x96527)
% 192.07/191.93 [9682]P26(x96821,x96822,x96823,x96824,x96825)+~P26(x96826,x96821,x96827,x96828,x96824)+~P26(x96826,x96822,f317(f67(x96821,x96822,x96826,x96823),x96827),x96828,x96825)
% 192.07/191.93 [9814]~P2(f317(f317(x98144,x98146),x98148))+~P2(f317(f317(x98145,x98148),x98147))+P2(f317(f317(f243(x98141,x98142,x98143,x98144,x98145),x98146),x98147))
% 192.07/191.93 [9402]~P20(x94028,x94021,x94023,x94025)+~P2(f317(f29(x94028),x94026))+E(f317(f67(x94021,x94021,x94022,f317(x94023,x94024)),f317(f67(x94021,x94021,x94022,f317(x94025,x94026)),x94027)),f317(f67(x94021,x94021,x94022,f317(x94025,x94026)),f317(f67(x94021,x94021,x94022,f317(x94023,x94024)),x94027)))
% 192.07/191.93 [9804]~P23(x98047,x98042,x98045,x98048,x98046,x98041)+~P2(f317(f29(x98042),x98044))+E(f317(x98041,f317(f317(f299(x98042),x98043),x98044)),f317(f317(x98045,f317(x98046,x98043)),f317(x98041,x98044)))
% 192.07/191.93 [9924]~P25(x99242,x99244,x99246,x99248)+~P25(x99241,x99243,x99245,x99247)+P25(f909(x99241,x99242),f909(x99243,x99244),f248(x99241,x99243,x99242,x99244,x99245,x99246),f317(f317(f244(x99241,x99242),x99247),f317(f18(f910(x99242,a898),x99241),x99248)))
% 192.07/191.93 [9588]P2(f317(f317(f319(f909(x95881,x95882)),f317(f317(f242(x95881,x95882),x95883),x95884)),f317(f317(f279(x95881,x95885,x95882),x95886),x95887)))+~P2(f317(f317(f319(f909(x95881,x95885)),f317(f317(f242(x95881,x95885),x95883),x95888)),x95886))+~P2(f317(f317(f319(f909(x95885,x95882)),f317(f317(f242(x95885,x95882),x95888),x95884)),x95887))
% 192.07/191.93 [9785]~P2(f317(f317(f226(f910(f909(x97853,x97852),a898)),x97855),f317(f317(f244(x97853,x97852),x97858),f317(f18(f910(x97852,a898),x97853),x97857))))+~P2(f317(f317(f226(f910(f909(x97851,x97853),a898)),x97854),f317(f317(f244(x97851,x97853),x97856),f317(f18(f910(x97853,a898),x97851),x97858))))+P2(f317(f317(f226(f910(f909(x97851,x97852),a898)),f317(f317(f279(x97851,x97853,x97852),x97854),x97855)),f317(f317(f244(x97851,x97852),x97856),f317(f18(f910(x97852,a898),x97851),x97857))))
% 192.07/191.93 [9838]~E(x98383,x98385)+P2(f317(f317(f319(f909(f909(x98381,x98382),f909(x98381,x98382))),f317(f317(f242(f909(x98381,x98382),f909(x98381,x98382)),f317(f317(f242(x98381,x98382),x98383),x98384)),f317(f317(f242(x98381,x98382),x98385),x98386))),f310(x98381,x98382,x98387,x98388)))+~P2(f317(f317(f319(f909(x98382,x98382)),f317(f317(f242(x98382,x98382),x98384),x98386)),x98388))
% 192.07/191.93 [9943]E(x99431,x99432)+~P2(f317(f317(f319(f909(f909(x99433,x99435),f909(x99433,x99435))),f317(f317(f242(f909(x99433,x99435),f909(x99433,x99435)),f317(f317(f242(x99433,x99435),x99431),x99436)),f317(f317(f242(x99433,x99435),x99432),x99437))),f310(x99433,x99435,x99434,x99438)))+P2(f317(f317(f319(f909(x99433,x99433)),f317(f317(f242(x99433,x99433),x99431),x99432)),x99434))
% 192.07/191.93 [9958]~P2(f317(f317(f319(f909(f909(x99581,x99585),f909(x99581,x99585))),f317(f317(f242(f909(x99581,x99585),f909(x99581,x99585)),f317(f317(f242(x99581,x99585),x99582),x99586)),f317(f317(f242(x99581,x99585),x99583),x99587))),f310(x99581,x99585,x99584,x99588)))+P2(f317(f317(f319(f909(x99581,x99581)),f317(f317(f242(x99581,x99581),x99582),x99583)),x99584))+P2(f317(f317(f319(f909(x99585,x99585)),f317(f317(f242(x99585,x99585),x99586),x99587)),x99588))
% 192.07/191.93 [9874]~P24(x98747,x98745,x98741,x98748,x98742,x98744)+~P2(f317(f29(x98745),x98746))+E(f317(f317(x98741,f317(x98742,x98743)),f317(x98744,f317(f317(f3(f910(x98745,a898)),x98746),f317(f317(f299(x98745),x98743),f178(f910(x98745,a898)))))),f317(x98744,f317(f317(f299(x98745),x98743),x98746)))
% 192.07/191.93 [9353]~P2(f317(f317(f317(x93535,x93538),x93536),x93537))+~P2(f317(f317(f319(x93531),x93538),x93534))+P2(f317(f317(f317(f317(f36(x93531,f910(x93532,f910(x93533,a898))),x93534),x93535),x93536),x93537))
% 192.07/191.93 [9573]P2(f317(f317(f317(x95731,x95732),x95733),x95734))+~P2(f317(f317(f319(x95735),x95732),x95736))+~P2(f317(f317(f317(f317(f35(x95735,f910(x95737,f910(x95738,a898))),x95736),x95731),x95733),x95734))
% 192.07/191.93 [9778]~P22(x97783,x97782,x97784,x97788,x97781)+~P2(f317(f29(x97782),x97787))+E(f317(f317(x97781,f317(f317(f20(x97782,x97783,x97783),f317(f317(f10(x97783,f910(x97783,x97783),x97782),x97784),x97785)),x97786)),x97787),f317(f317(x97784,f317(f317(x97781,x97785),x97787)),f317(f317(x97781,x97786),x97787)))
% 192.07/191.93 [10044]~E(f317(f300(x100442,x100444,x100446),x100448),x1004410)+~E(f317(f300(x100441,x100443,x100445),x100447),x100449)+E(f317(f300(f909(x100441,x100442),f909(x100443,x100444),f248(x100441,x100443,x100442,x100444,x100445,x100446)),f317(f317(f244(x100441,x100442),x100447),f317(f18(f910(x100442,a898),x100441),x100448))),f317(f317(f244(x100443,x100444),x100449),f317(f18(f910(x100444,a898),x100443),x1004410)))
% 192.07/191.93 [4951]~P43(x49511,x49512)+~P49(x49511,x49512)+~P50(x49511,x49512)+P8(x49511,x49512)
% 192.07/191.93 [4907]~P108(x49072)+~P14(x49072,x49071)+P14(x49072,f104(x49072,x49071))+E(x49071,f103(x49072))
% 192.07/191.93 [4908]~P108(x49082)+~P14(x49082,x49081)+P14(x49082,f628(x49081,x49082))+E(x49081,f103(x49082))
% 192.07/191.93 [5156]~P6(x51562)+E(f12(x51562,x51561),f32(x51562,x51561))+E(x51561,f178(f910(x51562,a898)))+~P2(f317(f29(x51562),x51561))
% 192.07/191.93 [5157]~P6(x51572)+E(f13(x51572,x51571),f33(x51572,x51571))+E(x51571,f178(f910(x51572,a898)))+~P2(f317(f29(x51572),x51571))
% 192.07/191.93 [5314]~P108(x53142)+~P14(x53142,x53141)+E(x53141,f103(x53142))+E(f317(f317(f141(x53142),f647(x53141,x53142)),f628(x53141,x53142)),x53141)
% 192.07/191.93 [6140]~P102(x61402)+E(x61401,f178(f910(x61402,a898)))+P2(f317(f317(f226(x61402),f13(x61402,x61401)),f12(x61402,x61401)))+~P2(f317(f29(x61402),x61401))
% 192.07/191.93 [6151]~P40(x61512)+~P40(x61511)+E(x61511,x61512)+~E(f317(f300(a1,a903,a94),x61511),f317(f300(a1,a903,a94),x61512))
% 192.07/191.93 [9209]~P117(x92091)+~P2(f317(f317(f319(x92091),x92092),f99(x92091)))+P2(f317(f317(f227(x92091),f317(f317(f74(x92091),f317(f317(f74(x92091),f72(x92091)),x92092)),x92092)),f2(x92091)))+~P2(f317(f317(f227(x92091),x92092),f2(x92091)))
% 192.07/191.93 [9455]~P117(x94551)+~P2(f317(f317(f319(x94551),x94552),f99(x94551)))+~P2(f317(f317(f227(x94551),f317(f317(f74(x94551),f317(f317(f74(x94551),f72(x94551)),x94552)),x94552)),f2(x94551)))+P2(f317(f317(f227(x94551),x94552),f2(x94551)))
% 192.07/191.93 [4966]~P113(x49662)+~P146(x49662)+E(x49661,f2(a903))+E(f317(f317(f234(x49662),f2(x49662)),x49661),f2(x49662))
% 192.07/191.93 [4970]~P113(x49701)+~P146(x49701)+~E(x49702,f2(a903))+E(f317(f317(f234(x49701),f2(x49701)),x49702),f72(x49701))
% 192.07/191.93 [5142]~P142(x51422)+E(x51421,f72(x51422))+E(x51421,f317(f73(x51422),f72(x51422)))+~E(f317(f317(f75(x51422),x51421),x51421),f72(x51422))
% 192.07/191.93 [5391]~P90(x53912)+E(x53911,f2(x53912))+E(f76(x53912,x53911),f317(f73(x53912),f72(x53912)))+P2(f317(f317(f227(x53912),f2(x53912)),x53911))
% 192.07/191.93 [5636]~P90(x56362)+E(f76(x56362,x56361),f72(x56362))+E(x56361,f2(x56362))+~P2(f317(f317(f227(x56362),f2(x56362)),x56361))
% 192.07/191.93 [5645]E(x56451,x56452)+~E(f317(f93(a903),x56451),f317(f93(a903),x56452))+P2(f317(a183,f317(f93(a1),x56452)))+P2(f317(a183,f317(f93(a1),x56451)))
% 192.07/191.93 [5696]~P92(x56961)+~E(x56962,f2(x56961))+E(f317(f317(f74(x56961),x56962),x56962),f2(x56961))+~P2(f317(f317(f319(x56961),x56962),f99(x56961)))
% 192.07/191.93 [5735]E(x57351,f2(a1))+~E(f317(f317(f31(a1),x57352),x57351),f2(a1))+P2(f317(f317(f227(a1),x57351),x57352))+P2(f317(f317(f227(a1),x57352),x57351))
% 192.07/191.93 [5765]E(x57651,f2(a1))+~E(f317(f317(f31(a1),x57652),x57651),f2(a1))+P2(f317(f317(f226(a1),x57652),f2(a1)))+P2(f317(f317(f227(a1),x57652),x57651))
% 192.07/191.93 [5799]E(x57991,f2(a1))+~E(f317(f317(f31(a1),x57992),x57991),f2(a1))+P2(f317(f317(f226(a1),f2(a1)),x57992))+P2(f317(f317(f227(a1),x57991),x57992))
% 192.07/191.93 [5834]~P92(x58342)+E(x58341,f2(x58342))+~E(f317(f317(f74(x58342),x58341),x58341),f2(x58342))+~P2(f317(f317(f319(x58342),x58341),f99(x58342)))
% 192.07/191.93 [5905]E(f317(f93(a903),x59051),f317(f93(a903),x59052))+~E(f317(f93(a1),x59052),f2(a1))+P2(f317(a183,f317(f93(a1),x59052)))+~P2(f317(a183,f317(f93(a1),x59051)))
% 192.07/191.93 [5934]~E(f317(f93(a903),x59342),f317(f93(a903),x59341))+E(f317(f93(a1),x59341),f2(a1))+P2(f317(a183,f317(f93(a1),x59341)))+~P2(f317(a183,f317(f93(a1),x59342)))
% 192.07/191.93 [5944]~P108(x59442)+E(x59441,f178(f910(x59442,a898)))+~P2(f317(f29(x59442),x59441))+P2(f317(f317(f319(x59442),f16(x59442,x59441)),x59441))
% 192.07/191.93 [5945]~P108(x59452)+E(x59451,f178(f910(x59452,a898)))+~P2(f317(f29(x59452),x59451))+P2(f317(f317(f319(x59452),f17(x59452,x59451)),x59451))
% 192.07/191.93 [6117]~P117(x61171)+~P93(x61171)+P2(f317(f317(f226(x61171),f2(x61171)),f317(f93(x61171),x61172)))+~P2(f317(f317(f226(a1),a77),x61172))
% 192.07/191.93 [6118]~P117(x61181)+~P93(x61181)+P2(f317(f317(f227(x61181),f2(x61181)),f317(f93(x61181),x61182)))+~P2(f317(f317(f227(a1),a77),x61182))
% 192.07/191.93 [6139]~P117(x61391)+~P93(x61391)+E(f317(f70(x61391),f317(f93(x61391),x61392)),f317(f93(x61391),x61392))+P2(f317(f317(f227(x61391),f317(f93(x61391),x61392)),f2(x61391)))
% 192.07/191.93 [6175]E(x61751,x61752)+~E(f317(a94,x61751),f317(a94,x61752))+~P2(f317(f317(f226(a1),f2(a1)),x61752))+~P2(f317(f317(f226(a1),f2(a1)),x61751))
% 192.07/191.93 [6376]~P93(x63762)+~P117(x63762)+~P2(f317(f317(f226(x63762),f2(x63762)),f317(f93(x63762),x63761)))+P2(f317(f317(f226(a1),a77),x63761))
% 192.07/191.93 [6377]~P93(x63772)+~P117(x63772)+~P2(f317(f317(f227(x63772),f2(x63772)),f317(f93(x63772),x63771)))+P2(f317(f317(f227(a1),a77),x63771))
% 192.07/191.93 [6382]~P117(x63821)+~P93(x63821)+P2(f317(f317(f226(x63821),f317(f93(x63821),x63822)),f2(x63821)))+~P2(f317(f317(f226(a1),x63822),a77))
% 192.07/191.93 [6383]~P117(x63831)+~P93(x63831)+P2(f317(f317(f227(x63831),f317(f93(x63831),x63832)),f2(x63831)))+~P2(f317(f317(f227(a1),x63832),a77))
% 192.07/191.93 [6709]~P93(x67092)+~P117(x67092)+~P2(f317(f317(f226(x67092),f317(f93(x67092),x67091)),f2(x67092)))+P2(f317(f317(f226(a1),x67091),a77))
% 192.07/191.93 [6710]~P93(x67102)+~P117(x67102)+~P2(f317(f317(f227(x67102),f317(f93(x67102),x67101)),f2(x67102)))+P2(f317(f317(f227(a1),x67101),a77))
% 192.07/191.93 [6804]~P117(x68041)+~P93(x68041)+E(f317(f70(x68041),f317(f93(x68041),x68042)),f317(f73(x68041),f317(f93(x68041),x68042)))+~P2(f317(f317(f227(x68041),f317(f93(x68041),x68042)),f2(x68041)))
% 192.07/191.93 [6823]E(f317(f93(a903),x68231),f317(f93(a903),x68232))+~E(f317(f93(a1),x68232),f2(a1))+~P2(f317(f317(f226(a1),f317(f93(a1),x68231)),f2(a1)))+~P2(f317(a183,f317(f93(a1),x68231)))
% 192.07/191.93 [7709]~P108(x77092)+E(x77091,f178(f910(x77092,a898)))+~P2(f317(f29(x77092),x77091))+P2(f317(f317(f226(x77092),f14(x77092,f224(x77092),x77091)),f15(x77092,f225(x77092),x77091)))
% 192.07/191.93 [8029]~P40(x80292)+~P7(x80291)+P2(f317(f317(f319(a1),x80291),x80292))+~P2(f317(f317(f319(a903),f317(a94,x80291)),f317(f300(a1,a903,a94),x80292)))
% 192.07/191.93 [5940]~P141(x59402)+E(x59401,f2(a1))+E(f317(f73(x59402),f317(f92(x59402),f317(f73(a1),x59401))),f317(f92(x59402),x59401))+~P2(f317(f317(f227(a1),x59401),f2(a1)))
% 192.07/191.93 [6019]~P92(x60191)+~P93(x60191)+~P28(x60191,f317(f93(x60191),x60192))+P28(x60191,f317(f93(x60191),f317(f317(f74(a1),x60192),x60192)))
% 192.07/191.93 [6365]~P77(x63652)+E(x63651,f178(f910(x63652,a898)))+E(f17(x63652,f317(f300(x63652,x63652,f73(x63652)),x63651)),f317(f73(x63652),f16(x63652,x63651)))+~P2(f317(f29(x63652),x63651))
% 192.07/191.93 [6366]~P77(x63662)+E(x63661,f178(f910(x63662,a898)))+E(f16(x63662,f317(f300(x63662,x63662,f73(x63662)),x63661)),f317(f73(x63662),f17(x63662,x63661)))+~P2(f317(f29(x63662),x63661))
% 192.07/191.93 [6400]~P92(x64001)+~P93(x64001)+P28(x64001,f317(f93(x64001),x64002))+~P28(x64001,f317(f93(x64001),f317(f317(f74(a1),x64002),x64002)))
% 192.07/191.93 [6494]E(x64941,f2(a1))+E(f317(a47,f46(f317(f73(a1),x64941),f317(f73(a1),x64942))),f42(x64941,x64942))+P2(f317(f317(f226(a1),f2(a1)),x64942))+~P2(f317(f317(f226(a1),f2(a1)),x64941))
% 192.07/191.93 [8812]~P40(x88122)+~P40(x88121)+P2(f317(f317(f227(f910(a903,a898)),f317(f300(a1,a903,a94),x88121)),f317(f300(a1,a903,a94),x88122)))+~P2(f317(f317(f227(f910(a1,a898)),x88121),x88122))
% 192.07/191.93 [9043]~E(f650(x90432,x90431),f651(x90432,x90431))+~P2(f317(f127(x90431),f652(x90432,x90431)))+~P2(f317(f127(f904(x90431)),x90432))+P2(f317(f127(x90431),f317(f132(f904(x90431),f904(x90431),f124(x90431),f103(x90431)),x90432)))
% 192.07/191.93 [9129]~P40(x91292)+~P40(x91291)+~P2(f317(f317(f226(f910(a903,a898)),f317(f300(a1,a903,a94),x91291)),f317(f300(a1,a903,a94),x91292)))+P2(f317(f317(f226(f910(a1,a898)),x91291),x91292))
% 192.07/191.93 [9130]~P40(x91302)+~P40(x91301)+~P2(f317(f317(f227(f910(a903,a898)),f317(f300(a1,a903,a94),x91301)),f317(f300(a1,a903,a94),x91302)))+P2(f317(f317(f227(f910(a1,a898)),x91301),x91302))
% 192.07/191.93 [9136]~E(f650(x91362,x91361),f651(x91362,x91361))+~P2(f317(f127(f904(x91361)),x91362))+P2(f317(f127(x91361),f317(f132(f904(x91361),f904(x91361),f124(x91361),f103(x91361)),x91362)))+P2(f317(f317(f319(f904(x91361)),f652(x91362,x91361)),f317(f162(f904(x91361)),x91362)))
% 192.07/191.93 [9177]~P2(f317(f127(x91771),f652(x91772,x91771)))+~P2(f317(f127(f904(x91771)),x91772))+P2(f317(f127(x91771),f317(f132(f904(x91771),f904(x91771),f124(x91771),f103(x91771)),x91772)))+P2(f317(f317(f319(f904(x91771)),f651(x91772,x91771)),f317(f162(f904(x91771)),x91772)))
% 192.07/191.93 [9178]~P2(f317(f127(x91781),f652(x91782,x91781)))+~P2(f317(f127(f904(x91781)),x91782))+P2(f317(f127(x91781),f317(f132(f904(x91781),f904(x91781),f124(x91781),f103(x91781)),x91782)))+P2(f317(f317(f319(f904(x91781)),f650(x91782,x91781)),f317(f162(f904(x91781)),x91782)))
% 192.07/191.93 [9255]~P2(f317(f127(f904(x92551)),x92552))+P2(f317(f127(x92551),f317(f132(f904(x92551),f904(x92551),f124(x92551),f103(x92551)),x92552)))+P2(f317(f317(f319(f904(x92551)),f651(x92552,x92551)),f317(f162(f904(x92551)),x92552)))+P2(f317(f317(f319(f904(x92551)),f652(x92552,x92551)),f317(f162(f904(x92551)),x92552)))
% 192.07/191.93 [9256]~P2(f317(f127(f904(x92561)),x92562))+P2(f317(f127(x92561),f317(f132(f904(x92561),f904(x92561),f124(x92561),f103(x92561)),x92562)))+P2(f317(f317(f319(f904(x92561)),f650(x92562,x92561)),f317(f162(f904(x92561)),x92562)))+P2(f317(f317(f319(f904(x92561)),f652(x92562,x92561)),f317(f162(f904(x92561)),x92562)))
% 192.07/191.93 [9270]~E(f317(f317(f91(f910(x92701,a898)),f317(f162(x92701),f651(x92702,x92701))),f317(f162(x92701),f650(x92702,x92701))),f178(f910(x92701,a898)))+~P2(f317(f127(x92701),f652(x92702,x92701)))+~P2(f317(f127(f904(x92701)),x92702))+P2(f317(f127(x92701),f317(f132(f904(x92701),f904(x92701),f124(x92701),f103(x92701)),x92702)))
% 192.07/191.93 [9333]~E(f317(f317(f91(f910(x93331,a898)),f317(f162(x93331),f651(x93332,x93331))),f317(f162(x93331),f650(x93332,x93331))),f178(f910(x93331,a898)))+~P2(f317(f127(f904(x93331)),x93332))+P2(f317(f127(x93331),f317(f132(f904(x93331),f904(x93331),f124(x93331),f103(x93331)),x93332)))+P2(f317(f317(f319(f904(x93331)),f652(x93332,x93331)),f317(f162(f904(x93331)),x93332)))
% 192.07/191.93 [9621]E(x96211,f2(a1))+E(x96212,f2(a1))+E(f317(f317(f80(a1,f909(a1,a1)),f317(f317(a207,x96212),x96211)),f317(f317(f20(a1,a1,f909(a1,a1)),f317(f317(f10(a1,f910(a1,f909(a1,a1)),a1),f242(a1,a1)),f317(f31(a1),x96212))),f317(f31(a1),x96211))),f205(x96212,x96211))+P2(f317(f317(f227(a1),x96211),f2(a1)))
% 192.07/191.93 [8355]~P93(x83552)+~P117(x83552)+~P2(f317(f317(f226(x83552),f317(f93(x83552),x83551)),f72(x83552)))+P2(f317(f317(f226(a1),x83551),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 192.07/191.93 [8356]~P93(x83562)+~P117(x83562)+~P2(f317(f317(f227(x83562),f317(f93(x83562),x83561)),f72(x83562)))+P2(f317(f317(f227(a1),x83561),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 192.07/191.93 [8628]~P117(x86281)+~P93(x86281)+P2(f317(f317(f226(x86281),f317(f93(x86281),x86282)),f72(x86281)))+~P2(f317(f317(f226(a1),x86282),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 192.07/191.93 [8629]~P117(x86291)+~P93(x86291)+P2(f317(f317(f227(x86291),f317(f93(x86291),x86292)),f72(x86291)))+~P2(f317(f317(f227(a1),x86292),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)))
% 192.07/191.93 [8840]~P93(x88402)+~P117(x88402)+~P2(f317(f317(f226(x88402),f72(x88402)),f317(f93(x88402),x88401)))+P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x88401))
% 192.07/191.93 [8841]~P93(x88412)+~P117(x88412)+~P2(f317(f317(f227(x88412),f72(x88412)),f317(f93(x88412),x88411)))+P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x88411))
% 192.07/191.93 [9215]~P117(x92151)+~P93(x92151)+P2(f317(f317(f226(x92151),f72(x92151)),f317(f93(x92151),x92152)))+~P2(f317(f317(f226(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x92152))
% 192.07/191.93 [9216]~P117(x92161)+~P93(x92161)+P2(f317(f317(f227(x92161),f72(x92161)),f317(f93(x92161),x92162)))+~P2(f317(f317(f227(a1),f317(f317(f3(a1),f317(f317(f74(a1),a77),a77)),a87)),x92162))
% 192.07/191.93 [9751]~P142(x97512)+E(x97511,f72(x97512))+E(x97511,f317(f73(x97512),f72(x97512)))+~E(f317(f317(f234(x97512),x97511),f317(f93(a903),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(x97512))
% 192.07/191.93 [10020]~P93(x100201)+~P63(x100201)+~P2(f317(f317(f227(x100201),f2(x100201)),x100202))+P2(f317(f317(f227(x100201),f2(x100201)),f317(f317(f281(x100201),x100202),f317(f93(x100201),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))))))
% 192.07/191.93 [10073]~P93(x100731)+~P63(x100731)+P2(f317(f317(f227(x100731),f2(x100731)),x100732))+~P2(f317(f317(f227(x100731),f2(x100731)),f317(f317(f281(x100731),x100732),f317(f93(x100731),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))))))
% 192.07/191.93 [10366]~P141(x103662)+E(x103661,f2(a1))+P2(f317(f317(f227(a1),x103661),f2(a1)))+E(f317(f317(f247(a1,a1,x103662),f317(f317(f9(a1,f910(a1,f910(x103662,x103662)),f910(a1,x103662)),f317(f317(f10(f910(f910(x103662,x103662),x103662),f910(f910(a1,f910(x103662,x103662)),f910(a1,x103662)),a1),f10(f910(x103662,x103662),x103662,a1)),f317(f317(f10(x103662,f910(f910(x103662,x103662),x103662),a1),f80(x103662,x103662)),f92(x103662)))),f317(f317(f9(a1,f910(x103662,x103662),f910(x103662,x103662)),f317(f317(f10(f910(x103662,f910(x103662,x103662)),f910(f910(x103662,x103662),f910(x103662,x103662)),a1),f20(x103662,x103662,x103662)),f317(f317(f9(a1,f910(x103662,x103662),f910(x103662,f910(x103662,x103662))),f317(f317(f10(f910(x103662,f910(x103662,x103662)),f910(f910(x103662,x103662),f910(x103662,f910(x103662,x103662))),a1),f10(x103662,f910(x103662,x103662),x103662)),f317(f317(f10(a898,f910(x103662,f910(x103662,x103662)),a1),f86(x103662)),f317(f317(f9(a1,a1,a898),a314),f2(a1))))),f317(f317(f20(x103662,x103662,x103662),f74(x103662)),f7(x103662))))),f317(f317(f9(x103662,x103662,x103662),f317(f317(f10(x103662,f910(x103662,x103662),x103662),f74(x103662)),f317(f317(f20(x103662,x103662,x103662),f74(x103662)),f7(x103662)))),f72(x103662))))),f42(x103661,f317(f93(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(f92(x103662),x103661))
% 192.07/191.93 [5400]~P38(x54001,x54003)+~P51(x54001,x54003)+~P52(x54001,x54002,x54003)+P9(x54001,x54002,x54003)
% 192.07/191.93 [4935]~P92(x49353)+~P93(x49353)+E(x49351,x49352)+~E(f317(f93(x49353),x49351),f317(f93(x49353),x49352))
% 192.07/191.93 [5410]~P49(x54101,x54102)+~P50(x54101,x54102)+P16(x54101,x54102)+~P2(f317(f317(x54102,x54103),x54103))
% 192.07/191.93 [5920]P16(x59202,x59201)+E(f317(x59201,f790(x59201)),f317(x59201,f791(x59201)))+P2(f317(f317(x59201,f790(x59201)),f791(x59201)))+~P2(f317(f317(x59201,x59203),x59203))
% 192.07/191.93 [6127]~P2(f317(x61271,x61272))+~P2(f317(x61271,x61273))+~P2(f317(f317(f226(a903),x61273),f825(x61272,x61271)))+P2(f317(x61271,f2(a903)))
% 192.07/191.93 [6194]P16(x61941,x61942)+P2(f317(f317(x61942,f790(x61942)),f790(x61942)))+P2(f317(f317(x61942,f790(x61942)),f791(x61942)))+~P2(f317(f317(x61942,x61943),x61943))
% 192.07/191.93 [6195]P16(x61951,x61952)+P2(f317(f317(x61952,f790(x61952)),f791(x61952)))+P2(f317(f317(x61952,f791(x61952)),f791(x61952)))+~P2(f317(f317(x61952,x61953),x61953))
% 192.07/191.93 [6559]P147(x65592,x65593,x65591)+E(x65591,f2(a1))+P2(f317(f317(f226(a1),f2(a1)),f850(x65591,x65593,x65592)))+P2(f317(f317(f227(a1),x65591),f2(a1)))
% 192.07/191.93 [6560]P148(x65602,x65603,x65601)+E(x65601,f2(a1))+P2(f317(f317(f226(a1),f2(a1)),f854(x65601,x65603,x65602)))+P2(f317(f317(f227(a1),x65601),f2(a1)))
% 192.07/191.93 [6689]P147(x66891,x66892,x66893)+~P2(f317(x66891,x66892))+P2(f317(f317(f226(a1),f2(a1)),f850(x66893,x66892,x66891)))+P2(f317(f317(f227(a1),x66893),f2(a1)))
% 192.07/191.93 [6715]P148(x67151,x67152,x67153)+P2(f317(f317(f226(a1),f2(a1)),f854(x67153,x67152,x67151)))+~P2(f317(x67151,f2(a1)))+P2(f317(f317(f227(a1),x67153),f2(a1)))
% 192.07/191.93 [6747]P147(x67472,x67473,x67471)+E(x67471,f2(a1))+~P2(f317(x67472,f850(x67471,x67473,x67472)))+P2(f317(f317(f227(a1),x67471),f2(a1)))
% 192.07/191.93 [6748]P148(x67482,x67483,x67481)+E(x67481,f2(a1))+~P2(f317(x67482,f855(x67481,x67483,x67482)))+P2(f317(f317(f227(a1),x67481),f2(a1)))
% 192.07/191.93 [6851]~P108(x68511)+~P6(x68511)+~P2(f317(f317(f227(x68511),x68512),f32(x68511,x68513)))+P2(f317(f317(f227(x68511),x68512),f379(x68513,x68512,x68511)))
% 192.07/191.93 [6861]P147(x68611,x68612,x68613)+~P2(f317(x68611,x68612))+~P2(f317(x68611,f850(x68613,x68612,x68611)))+P2(f317(f317(f227(a1),x68613),f2(a1)))
% 192.07/191.93 [6893]P148(x68931,x68932,x68933)+~P2(f317(x68931,f855(x68933,x68932,x68931)))+~P2(f317(x68931,f2(a1)))+P2(f317(f317(f227(a1),x68933),f2(a1)))
% 192.07/191.93 [7145]P147(x71452,x71453,x71451)+E(x71451,f2(a1))+P2(f317(f317(f226(a1),f2(a1)),f850(x71451,x71453,x71452)))+P2(f317(f317(f227(a1),x71451),f849(x71451,x71453,x71452)))
% 192.07/191.93 [7146]P148(x71462,x71463,x71461)+E(x71461,f2(a1))+P2(f317(f317(f226(a1),f2(a1)),f854(x71461,x71463,x71462)))+P2(f317(f317(f227(a1),x71461),f853(x71461,x71463,x71462)))
% 192.07/191.93 [7266]P147(x72661,x72662,x72663)+~P2(f317(x72661,x72662))+P2(f317(f317(f226(a1),f2(a1)),f850(x72663,x72662,x72661)))+P2(f317(f317(f227(a1),x72663),f849(x72663,x72662,x72661)))
% 192.07/191.93 [7287]P148(x72871,x72872,x72873)+P2(f317(f317(f226(a1),f2(a1)),f854(x72873,x72872,x72871)))+P2(f317(f317(f227(a1),x72873),f853(x72873,x72872,x72871)))+~P2(f317(x72871,f2(a1)))
% 192.07/191.93 [7318]P147(x73182,x73183,x73181)+E(x73181,f2(a1))+~P2(f317(x73182,f850(x73181,x73183,x73182)))+P2(f317(f317(f227(a1),x73181),f849(x73181,x73183,x73182)))
% 192.07/191.93 [7319]P148(x73192,x73193,x73191)+E(x73191,f2(a1))+~P2(f317(x73192,f855(x73191,x73193,x73192)))+P2(f317(f317(f227(a1),x73191),f853(x73191,x73193,x73192)))
% 192.07/191.93 [7363]P147(x73632,x73633,x73631)+E(x73631,f2(a1))+P2(f317(f317(f226(a1),f2(a1)),f850(x73631,x73633,x73632)))+~P2(f317(x73632,f849(x73631,x73633,x73632)))
% 192.07/191.93 [7364]P148(x73642,x73643,x73641)+E(x73641,f2(a1))+P2(f317(f317(f226(a1),f2(a1)),f854(x73641,x73643,x73642)))+~P2(f317(x73642,f856(x73641,x73643,x73642)))
% 192.07/191.93 [7461]P147(x74611,x74612,x74613)+~P2(f317(x74611,x74612))+~P2(f317(x74611,f850(x74613,x74612,x74611)))+P2(f317(f317(f227(a1),x74613),f849(x74613,x74612,x74611)))
% 192.07/191.93 [7476]P148(x74761,x74762,x74763)+~P2(f317(x74761,f855(x74763,x74762,x74761)))+P2(f317(f317(f227(a1),x74763),f853(x74763,x74762,x74761)))+~P2(f317(x74761,f2(a1)))
% 192.07/191.93 [7479]P147(x74791,x74792,x74793)+~P2(f317(x74791,x74792))+P2(f317(f317(f226(a1),f2(a1)),f850(x74793,x74792,x74791)))+~P2(f317(x74791,f849(x74793,x74792,x74791)))
% 192.07/191.93 [7496]P148(x74961,x74962,x74963)+P2(f317(f317(f226(a1),f2(a1)),f854(x74963,x74962,x74961)))+~P2(f317(x74961,f856(x74963,x74962,x74961)))+~P2(f317(x74961,f2(a1)))
% 192.07/191.93 [7519]P147(x75192,x75193,x75191)+E(x75191,f2(a1))+~P2(f317(x75192,f850(x75191,x75193,x75192)))+~P2(f317(x75192,f849(x75191,x75193,x75192)))
% 192.07/191.93 [7520]P148(x75202,x75203,x75201)+E(x75201,f2(a1))+~P2(f317(x75202,f855(x75201,x75203,x75202)))+~P2(f317(x75202,f856(x75201,x75203,x75202)))
% 192.07/191.93 [7604]P147(x76041,x76042,x76043)+~P2(f317(x76041,x76042))+~P2(f317(x76041,f850(x76043,x76042,x76041)))+~P2(f317(x76041,f849(x76043,x76042,x76041)))
% 192.07/191.93 [7622]P148(x76221,x76222,x76223)+~P2(f317(x76221,f855(x76223,x76222,x76221)))+~P2(f317(x76221,f856(x76223,x76222,x76221)))+~P2(f317(x76221,f2(a1)))
% 192.07/191.93 [7668]P147(x76682,x76683,x76681)+E(x76681,f2(a1))+P2(f317(f317(f226(a1),f2(a1)),f850(x76681,x76683,x76682)))+P2(f317(f317(f226(a1),f849(x76681,x76683,x76682)),f2(a1)))
% 192.07/191.93 [7669]P148(x76692,x76693,x76691)+E(x76691,f2(a1))+P2(f317(f317(f226(a1),f2(a1)),f854(x76691,x76693,x76692)))+P2(f317(f317(f226(a1),f853(x76691,x76693,x76692)),f2(a1)))
% 192.07/191.93 [7670]~P141(x76701)+~P2(f317(f317(f319(x76701),x76703),f99(x76701)))+~P2(f317(f317(f319(x76701),x76702),f99(x76701)))+P2(f317(f317(f319(x76701),f317(f317(f3(x76701),x76702),x76703)),f99(x76701)))
% 192.07/191.93 [7671]~P141(x76711)+~P2(f317(f317(f319(x76711),x76713),f99(x76711)))+~P2(f317(f317(f319(x76711),x76712),f99(x76711)))+P2(f317(f317(f319(x76711),f317(f317(f75(x76711),x76712),x76713)),f99(x76711)))
% 192.07/191.93 [7672]~P145(x76721)+~P2(f317(f317(f319(x76721),x76723),f176(x76721)))+~P2(f317(f317(f319(x76721),x76722),f176(x76721)))+P2(f317(f317(f319(x76721),f317(f317(f75(x76721),x76722),x76723)),f176(x76721)))
% 192.07/191.93 [7673]~P141(x76731)+~P2(f317(f317(f319(x76731),x76733),f99(x76731)))+~P2(f317(f317(f319(x76731),x76732),f99(x76731)))+P2(f317(f317(f319(x76731),f317(f317(f74(x76731),x76732),x76733)),f99(x76731)))
% 192.07/191.93 [7674]~P145(x76741)+~P2(f317(f317(f319(x76741),x76743),f176(x76741)))+~P2(f317(f317(f319(x76741),x76742),f176(x76741)))+P2(f317(f317(f319(x76741),f317(f317(f74(x76741),x76742),x76743)),f176(x76741)))
% 192.07/191.93 [7675]~P88(x76751)+~P2(f317(f317(f226(x76751),x76753),f2(x76751)))+~P2(f317(f317(f226(x76751),x76752),f2(x76751)))+P2(f317(f317(f226(x76751),f317(f317(f74(x76751),x76752),x76753)),f2(x76751)))
% 192.07/191.93 [7676]~P88(x76761)+~P2(f317(f317(f226(x76761),x76763),f2(x76761)))+~P2(f317(f317(f227(x76761),x76762),f2(x76761)))+P2(f317(f317(f227(x76761),f317(f317(f74(x76761),x76762),x76763)),f2(x76761)))
% 192.07/191.93 [7677]~P88(x76771)+~P2(f317(f317(f226(x76771),x76772),f2(x76771)))+~P2(f317(f317(f227(x76771),x76773),f2(x76771)))+P2(f317(f317(f227(x76771),f317(f317(f74(x76771),x76772),x76773)),f2(x76771)))
% 192.07/191.93 [7678]~P88(x76781)+~P2(f317(f317(f227(x76781),x76783),f2(x76781)))+~P2(f317(f317(f227(x76781),x76782),f2(x76781)))+P2(f317(f317(f227(x76781),f317(f317(f74(x76781),x76782),x76783)),f2(x76781)))
% 192.07/191.93 [7705]P147(x77053,x77052,x77051)+E(x77051,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77051),f851(x77051,x77052,x77053))),f850(x77051,x77052,x77053)),x77052)+P2(f317(f317(f227(a1),x77051),f2(a1)))
% 192.07/191.93 [7706]P148(x77063,x77062,x77061)+E(x77061,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77061),f855(x77061,x77062,x77063))),f854(x77061,x77062,x77063)),x77062)+P2(f317(f317(f227(a1),x77061),f2(a1)))
% 192.07/191.93 [7789]P147(x77891,x77892,x77893)+~P2(f317(x77891,x77892))+P2(f317(f317(f226(a1),f2(a1)),f850(x77893,x77892,x77891)))+P2(f317(f317(f226(a1),f849(x77893,x77892,x77891)),f2(a1)))
% 192.07/191.93 [7820]P148(x78201,x78202,x78203)+P2(f317(f317(f226(a1),f2(a1)),f854(x78203,x78202,x78201)))+~P2(f317(x78201,f2(a1)))+P2(f317(f317(f226(a1),f853(x78203,x78202,x78201)),f2(a1)))
% 192.07/191.93 [7829]P147(x78293,x78292,x78291)+~P2(f317(x78293,x78292))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78291),f851(x78291,x78292,x78293))),f850(x78291,x78292,x78293)),x78292)+P2(f317(f317(f227(a1),x78291),f2(a1)))
% 192.07/191.93 [7835]P147(x78352,x78353,x78351)+E(x78351,f2(a1))+~P2(f317(x78352,f850(x78351,x78353,x78352)))+P2(f317(f317(f226(a1),f849(x78351,x78353,x78352)),f2(a1)))
% 192.07/191.93 [7836]P148(x78362,x78363,x78361)+E(x78361,f2(a1))+~P2(f317(x78362,f855(x78361,x78363,x78362)))+P2(f317(f317(f226(a1),f853(x78361,x78363,x78362)),f2(a1)))
% 192.07/191.93 [7841]P148(x78413,x78412,x78411)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78411),f855(x78411,x78412,x78413))),f854(x78411,x78412,x78413)),x78412)+~P2(f317(x78413,f2(a1)))+P2(f317(f317(f227(a1),x78411),f2(a1)))
% 192.07/191.93 [7898]P147(x78981,x78982,x78983)+~P2(f317(x78981,x78982))+~P2(f317(x78981,f850(x78983,x78982,x78981)))+P2(f317(f317(f226(a1),f849(x78983,x78982,x78981)),f2(a1)))
% 192.07/191.93 [7902]P148(x79021,x79022,x79023)+~P2(f317(x79021,f855(x79023,x79022,x79021)))+~P2(f317(x79021,f2(a1)))+P2(f317(f317(f226(a1),f853(x79023,x79022,x79021)),f2(a1)))
% 192.07/191.93 [7970]~P126(x79701)+~P2(f317(f317(f226(x79701),f317(f317(f75(x79701),x79703),x79702)),f2(x79701)))+P2(f317(f317(f226(x79701),x79702),f2(x79701)))+P2(f317(f317(f226(x79701),x79703),f2(x79701)))
% 192.07/191.93 [7971]~P63(x79711)+~P2(f317(f317(f226(x79711),f317(f317(f281(x79711),x79713),x79712)),f2(x79711)))+P2(f317(f317(f226(x79711),x79712),f2(x79711)))+P2(f317(f317(f226(x79711),x79713),f2(x79711)))
% 192.07/191.93 [7972]~P63(x79721)+~P2(f317(f317(f227(x79721),f317(f317(f281(x79721),x79723),x79722)),f2(x79721)))+P2(f317(f317(f227(x79721),x79722),f2(x79721)))+P2(f317(f317(f227(x79721),x79723),f2(x79721)))
% 192.07/191.93 [8085]P147(x80853,x80852,x80851)+E(x80851,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80851),f851(x80851,x80852,x80853))),f850(x80851,x80852,x80853)),x80852)+P2(f317(f317(f227(a1),x80851),f849(x80851,x80852,x80853)))
% 192.07/191.93 [8086]P148(x80863,x80862,x80861)+E(x80861,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80861),f855(x80861,x80862,x80863))),f854(x80861,x80862,x80863)),x80862)+P2(f317(f317(f227(a1),x80861),f853(x80861,x80862,x80863)))
% 192.07/191.93 [8098]P147(x80983,x80982,x80981)+E(x80981,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80981),f852(x80981,x80982,x80983))),f849(x80981,x80982,x80983)),x80982)+P2(f317(f317(f226(a1),f2(a1)),f850(x80981,x80982,x80983)))
% 192.07/191.93 [8099]P148(x80993,x80992,x80991)+E(x80991,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80991),f856(x80991,x80992,x80993))),f853(x80991,x80992,x80993)),x80992)+P2(f317(f317(f226(a1),f2(a1)),f854(x80991,x80992,x80993)))
% 192.07/191.93 [8141]P147(x81413,x81412,x81411)+~P2(f317(x81413,x81412))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81411),f851(x81411,x81412,x81413))),f850(x81411,x81412,x81413)),x81412)+P2(f317(f317(f227(a1),x81411),f849(x81411,x81412,x81413)))
% 192.07/191.93 [8150]P148(x81503,x81502,x81501)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81501),f855(x81501,x81502,x81503))),f854(x81501,x81502,x81503)),x81502)+P2(f317(f317(f227(a1),x81501),f853(x81501,x81502,x81503)))+~P2(f317(x81503,f2(a1)))
% 192.07/191.93 [8156]P147(x81563,x81562,x81561)+~P2(f317(x81563,x81562))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81561),f852(x81561,x81562,x81563))),f849(x81561,x81562,x81563)),x81562)+P2(f317(f317(f226(a1),f2(a1)),f850(x81561,x81562,x81563)))
% 192.07/191.93 [8162]P148(x81623,x81622,x81621)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81621),f856(x81621,x81622,x81623))),f853(x81621,x81622,x81623)),x81622)+P2(f317(f317(f226(a1),f2(a1)),f854(x81621,x81622,x81623)))+~P2(f317(x81623,f2(a1)))
% 192.07/191.93 [8173]P147(x81733,x81732,x81731)+E(x81731,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81731),f851(x81731,x81732,x81733))),f850(x81731,x81732,x81733)),x81732)+~P2(f317(x81733,f849(x81731,x81732,x81733)))
% 192.07/191.93 [8174]P148(x81743,x81742,x81741)+E(x81741,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81741),f855(x81741,x81742,x81743))),f854(x81741,x81742,x81743)),x81742)+~P2(f317(x81743,f856(x81741,x81742,x81743)))
% 192.07/191.93 [8175]P147(x81753,x81752,x81751)+E(x81751,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81751),f852(x81751,x81752,x81753))),f849(x81751,x81752,x81753)),x81752)+~P2(f317(x81753,f850(x81751,x81752,x81753)))
% 192.07/191.93 [8176]P148(x81763,x81762,x81761)+E(x81761,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81761),f856(x81761,x81762,x81763))),f853(x81761,x81762,x81763)),x81762)+~P2(f317(x81763,f855(x81761,x81762,x81763)))
% 192.07/191.93 [8235]P147(x82353,x82352,x82351)+~P2(f317(x82353,x82352))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82351),f851(x82351,x82352,x82353))),f850(x82351,x82352,x82353)),x82352)+~P2(f317(x82353,f849(x82351,x82352,x82353)))
% 192.07/191.93 [8236]P147(x82363,x82362,x82361)+~P2(f317(x82363,x82362))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82361),f852(x82361,x82362,x82363))),f849(x82361,x82362,x82363)),x82362)+~P2(f317(x82363,f850(x82361,x82362,x82363)))
% 192.07/191.93 [8249]P148(x82493,x82492,x82491)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82491),f855(x82491,x82492,x82493))),f854(x82491,x82492,x82493)),x82492)+~P2(f317(x82493,f856(x82491,x82492,x82493)))+~P2(f317(x82493,f2(a1)))
% 192.07/191.93 [8250]P148(x82503,x82502,x82501)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82501),f856(x82501,x82502,x82503))),f853(x82501,x82502,x82503)),x82502)+~P2(f317(x82503,f855(x82501,x82502,x82503)))+~P2(f317(x82503,f2(a1)))
% 192.07/191.93 [8348]P147(x83483,x83482,x83481)+E(x83481,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83481),f851(x83481,x83482,x83483))),f850(x83481,x83482,x83483)),x83482)+P2(f317(f317(f226(a1),f849(x83481,x83482,x83483)),f2(a1)))
% 192.07/191.93 [8349]P148(x83493,x83492,x83491)+E(x83491,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83491),f855(x83491,x83492,x83493))),f854(x83491,x83492,x83493)),x83492)+P2(f317(f317(f226(a1),f853(x83491,x83492,x83493)),f2(a1)))
% 192.07/191.93 [8389]P147(x83893,x83892,x83891)+~P2(f317(x83893,x83892))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83891),f851(x83891,x83892,x83893))),f850(x83891,x83892,x83893)),x83892)+P2(f317(f317(f226(a1),f849(x83891,x83892,x83893)),f2(a1)))
% 192.07/191.93 [8394]P148(x83943,x83942,x83941)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83941),f855(x83941,x83942,x83943))),f854(x83941,x83942,x83943)),x83942)+~P2(f317(x83943,f2(a1)))+P2(f317(f317(f226(a1),f853(x83941,x83942,x83943)),f2(a1)))
% 192.07/191.93 [8530]P147(x85303,x85302,x85301)+E(x85301,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85301),f852(x85301,x85302,x85303))),f849(x85301,x85302,x85303)),x85302)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85301),f851(x85301,x85302,x85303))),f850(x85301,x85302,x85303)),x85302)
% 192.07/191.93 [8531]P148(x85313,x85312,x85311)+E(x85311,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85311),f856(x85311,x85312,x85313))),f853(x85311,x85312,x85313)),x85312)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85311),f855(x85311,x85312,x85313))),f854(x85311,x85312,x85313)),x85312)
% 192.07/191.93 [8551]P147(x85513,x85512,x85511)+~P2(f317(x85513,x85512))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85511),f852(x85511,x85512,x85513))),f849(x85511,x85512,x85513)),x85512)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85511),f851(x85511,x85512,x85513))),f850(x85511,x85512,x85513)),x85512)
% 192.07/191.93 [8562]P148(x85623,x85622,x85621)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85621),f856(x85621,x85622,x85623))),f853(x85621,x85622,x85623)),x85622)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85621),f855(x85621,x85622,x85623))),f854(x85621,x85622,x85623)),x85622)+~P2(f317(x85623,f2(a1)))
% 192.07/191.93 [9223]~P126(x92231)+~E(x92233,f2(x92231))+~E(x92232,f2(x92231))+P2(f317(f317(f226(x92231),f317(f317(f74(x92231),f317(f317(f75(x92231),x92232),x92232)),f317(f317(f75(x92231),x92233),x92233))),f2(x92231)))
% 192.07/191.93 [10307]~P117(x103071)+~E(x103073,f2(x103071))+~E(x103072,f2(x103071))+P2(f317(f317(f226(x103071),f317(f317(f74(x103071),f317(f317(f234(x103071),x103072),f317(f93(a903),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(x103071),x103073),f317(f93(a903),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(x103071)))
% 192.07/191.93 [4883]~E(x48833,x48831)+~P122(x48832)+E(x48831,f2(x48832))+E(f317(f317(f281(x48832),x48833),x48831),f72(x48832))
% 192.07/191.93 [4936]~P98(x49361)+~E(x49363,f178(x49361))+~E(x49362,f178(x49361))+E(f317(f317(f100(x49361),x49362),x49363),f178(x49361))
% 192.07/191.93 [4937]~P100(x49371)+~E(x49373,f232(x49371))+~E(x49372,f232(x49371))+E(f317(f317(f91(x49371),x49372),x49373),f232(x49371))
% 192.07/191.93 [5035]~P122(x50353)+E(x50351,x50352)+E(x50352,f2(x50353))+~E(f317(f317(f281(x50353),x50351),x50352),f72(x50353))
% 192.07/191.93 [5052]~P140(x50522)+E(x50521,f2(x50522))+E(x50523,f2(x50522))+~E(f317(f317(f75(x50522),x50523),x50521),f2(x50522))
% 192.07/191.93 [5054]~P135(x50542)+E(x50541,f2(x50542))+E(x50543,f2(x50542))+~E(f317(f317(f75(x50542),x50543),x50541),f2(x50542))
% 192.07/191.93 [5431]~P120(x54313)+E(x54311,x54312)+E(x54311,f317(f73(x54313),x54312))+~E(f317(f317(f75(x54313),x54311),x54311),f317(f317(f75(x54313),x54312),x54312))
% 192.07/191.93 [5470]~P96(x54701)+E(f317(f73(x54701),x54702),x54703)+~E(f317(f317(f100(x54701),x54702),x54703),f232(x54701))+~E(f317(f317(f91(x54701),x54702),x54703),f178(x54701))
% 192.07/191.93 [5551]~P117(x55513)+E(x55511,x55512)+P2(f317(f317(f227(x55513),x55512),x55511))+P2(f317(f317(f227(x55513),x55511),x55512))
% 192.07/191.93 [5552]~P108(x55523)+E(x55521,x55522)+P2(f317(f317(f227(x55523),x55522),x55521))+P2(f317(f317(f227(x55523),x55521),x55522))
% 192.07/191.93 [5553]~E(x55532,x55533)+~P108(x55531)+P2(f317(f317(f227(x55531),x55532),x55533))+P2(f317(f317(f226(x55531),x55532),x55533))
% 192.07/191.93 [5815]~P109(x58153)+E(x58151,x58152)+~P2(f317(f317(f226(x58153),x58152),x58151))+P2(f317(f317(f227(x58153),x58152),x58151))
% 192.07/191.93 [5817]~P108(x58173)+E(x58171,x58172)+~P2(f317(f317(f226(x58173),x58171),x58172))+P2(f317(f317(f227(x58173),x58171),x58172))
% 192.07/191.93 [5823]~P109(x58233)+E(x58231,x58232)+~P2(f317(f317(f226(x58233),x58231),x58232))+P2(f317(f317(f227(x58233),x58231),x58232))
% 192.07/191.93 [5937]P147(x59371,x59372,x59373)+~P2(f317(x59371,x59372))+P2(f317(f317(f227(a1),x59373),f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x59373))
% 192.07/191.93 [5991]P148(x59911,x59912,x59913)+~P2(f317(x59911,f2(a1)))+P2(f317(f317(f227(a1),x59913),f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x59913))
% 192.07/191.93 [5996]~P102(x59961)+E(f317(f317(f100(x59961),x59962),f13(x59961,x59963)),x59962)+~P2(f317(f29(x59961),x59963))+~P2(f317(f317(f319(x59961),x59962),x59963))
% 192.07/191.93 [5997]~P102(x59971)+E(f317(f317(f91(x59971),x59972),f12(x59971,x59973)),x59972)+~P2(f317(f29(x59971),x59973))+~P2(f317(f317(f319(x59971),x59972),x59973))
% 192.07/191.93 [6036]~P102(x60361)+E(f317(f317(f100(x60361),x60362),f12(x60361,x60363)),f12(x60361,x60363))+~P2(f317(f29(x60361),x60363))+~P2(f317(f317(f319(x60361),x60362),x60363))
% 192.07/191.93 [6037]~P102(x60371)+E(f317(f317(f91(x60371),x60372),f13(x60371,x60373)),f13(x60371,x60373))+~P2(f317(f29(x60371),x60373))+~P2(f317(f317(f319(x60371),x60372),x60373))
% 192.07/191.93 [6038]~P108(x60381)+E(f317(f317(f224(x60381),x60382),f16(x60381,x60383)),f16(x60381,x60383))+~P2(f317(f29(x60381),x60383))+~P2(f317(f317(f319(x60381),x60382),x60383))
% 192.07/191.93 [6039]~P108(x60391)+E(f317(f317(f225(x60391),x60392),f17(x60391,x60393)),f17(x60391,x60393))+~P2(f317(f29(x60391),x60393))+~P2(f317(f317(f319(x60391),x60392),x60393))
% 192.07/191.93 [6078]E(x60781,x60782)+~P109(x60783)+~P2(f317(f317(f226(x60783),x60782),x60781))+~P2(f317(f317(f226(x60783),x60781),x60782))
% 192.07/191.93 [6223]~P65(x62231)+P2(f317(f317(f227(x62231),x62233),x62232))+~P2(f317(f317(f226(x62231),x62233),x62232))+P2(f317(f317(f226(x62231),x62232),x62233))
% 192.07/191.93 [6251]~P108(x62511)+~P2(f317(f29(x62511),x62513))+P2(f317(f317(f226(x62511),x62512),f17(x62511,x62513)))+~P2(f317(f317(f319(x62511),x62512),x62513))
% 192.07/191.93 [6299]~P108(x62991)+E(f317(f317(f224(x62991),x62992),f15(x62991,f225(x62991),x62993)),x62992)+~P2(f317(f29(x62991),x62993))+~P2(f317(f317(f319(x62991),x62992),x62993))
% 192.07/191.93 [6300]~P108(x63001)+E(f317(f317(f225(x63001),x63002),f14(x63001,f224(x63001),x63003)),x63002)+~P2(f317(f29(x63001),x63003))+~P2(f317(f317(f319(x63001),x63002),x63003))
% 192.07/191.93 [6446]E(x64461,x64462)+~E(f317(f317(f3(a903),x64461),x64463),f317(f317(f3(a903),x64462),x64463))+~P2(f317(f317(f226(a903),x64463),x64461))+~P2(f317(f317(f226(a903),x64463),x64462))
% 192.07/191.93 [6473]~P108(x64731)+~P2(f317(f29(x64731),x64732))+~P2(f317(f317(f319(x64731),x64733),x64732))+P2(f317(f317(f226(x64731),f16(x64731,x64732)),x64733))
% 192.07/191.93 [6538]P147(x65382,x65383,x65381)+E(x65381,f2(a1))+P2(f317(f317(f227(a1),x65381),f849(x65381,x65383,x65382)))+P2(f317(f317(f227(a1),f2(a1)),x65381))
% 192.07/191.93 [6539]P148(x65392,x65393,x65391)+E(x65391,f2(a1))+P2(f317(f317(f227(a1),x65391),f853(x65391,x65393,x65392)))+P2(f317(f317(f227(a1),f2(a1)),x65391))
% 192.07/191.93 [6540]~P108(x65401)+E(f317(f317(f224(x65401),x65402),f14(x65401,f224(x65401),x65403)),f14(x65401,f224(x65401),x65403))+~P2(f317(f29(x65401),x65403))+~P2(f317(f317(f319(x65401),x65402),x65403))
% 192.07/191.93 [6541]~P108(x65411)+E(f317(f317(f225(x65411),x65412),f15(x65411,f225(x65411),x65413)),f15(x65411,f225(x65411),x65413))+~P2(f317(f29(x65411),x65413))+~P2(f317(f317(f319(x65411),x65412),x65413))
% 192.07/191.93 [6546]~P2(f317(x65461,x65462))+P2(f317(x65461,f880(x65462,x65461,x65463)))+P2(f317(x65461,f2(a903)))+~P2(f317(f317(f227(a903),x65462),x65463))
% 192.07/191.93 [6607]~P2(f317(x66071,x66072))+~P2(f317(f29(x66073),x66072))+P2(f317(x66071,f434(x66071,x66072,x66073)))+P2(f317(x66071,f178(f910(x66073,a898))))
% 192.07/191.93 [6620]~P117(x66201)+~P93(x66201)+P2(f317(f317(f226(x66201),f317(f93(x66201),x66202)),f317(f93(x66201),x66203)))+~P2(f317(f317(f226(a1),x66202),x66203))
% 192.07/191.93 [6621]~P117(x66211)+~P93(x66211)+P2(f317(f317(f227(x66211),f317(f93(x66211),x66212)),f317(f93(x66211),x66213)))+~P2(f317(f317(f227(a1),x66212),x66213))
% 192.07/191.93 [6624]~P2(f317(x66241,x66243))+~P2(f317(f29(x66242),x66243))+P2(f317(f29(x66242),f434(x66241,x66243,x66242)))+P2(f317(x66241,f178(f910(x66242,a898))))
% 192.07/191.93 [6658]P147(x66581,x66582,x66583)+~P2(f317(x66581,x66582))+P2(f317(f317(f227(a1),x66583),f849(x66583,x66582,x66581)))+P2(f317(f317(f227(a1),f2(a1)),x66583))
% 192.07/191.93 [6696]P148(x66961,x66962,x66963)+P2(f317(f317(f227(a1),x66963),f853(x66963,x66962,x66961)))+~P2(f317(x66961,f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x66963))
% 192.07/191.93 [6726]~P107(x67261)+~P94(x67261)+E(f317(f317(f224(x67261),f317(f93(x67261),x67262)),f317(f93(x67261),x67263)),f317(f93(x67261),x67263))+P2(f317(f317(f226(x67261),f317(f93(x67261),x67262)),f317(f93(x67261),x67263)))
% 192.07/191.93 [6727]~P107(x67271)+~P94(x67271)+E(f317(f317(f225(x67271),f317(f93(x67271),x67272)),f317(f93(x67271),x67273)),f317(f93(x67271),x67272))+P2(f317(f317(f226(x67271),f317(f93(x67271),x67272)),f317(f93(x67271),x67273)))
% 192.07/191.93 [6787]P147(x67872,x67873,x67871)+E(x67871,f2(a1))+~P2(f317(x67872,f849(x67871,x67873,x67872)))+P2(f317(f317(f227(a1),f2(a1)),x67871))
% 192.07/191.93 [6788]P148(x67882,x67883,x67881)+E(x67881,f2(a1))+~P2(f317(x67882,f856(x67881,x67883,x67882)))+P2(f317(f317(f227(a1),f2(a1)),x67881))
% 192.07/191.93 [6792]P2(f317(x67921,x67922))+~P2(f317(f29(x67923),x67922))+P2(f317(x67921,f365(x67921,x67922,x67923)))+~P2(f317(x67921,f178(f910(x67923,a898))))
% 192.07/191.93 [6814]P2(f317(x68141,x68142))+P2(f317(f29(x68143),f365(x68141,x68142,x68143)))+~P2(f317(f29(x68143),x68142))+~P2(f317(x68141,f178(f910(x68143,a898))))
% 192.07/191.93 [6882]P147(x68821,x68822,x68823)+~P2(f317(x68821,x68822))+~P2(f317(x68821,f849(x68823,x68822,x68821)))+P2(f317(f317(f227(a1),f2(a1)),x68823))
% 192.07/191.93 [6912]P148(x69121,x69122,x69123)+~P2(f317(x69121,f856(x69123,x69122,x69121)))+~P2(f317(x69121,f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x69123))
% 192.07/191.93 [7021]~P93(x70213)+~P117(x70213)+~P2(f317(f317(f226(x70213),f317(f93(x70213),x70211)),f317(f93(x70213),x70212)))+P2(f317(f317(f226(a1),x70211),x70212))
% 192.07/191.93 [7022]~P93(x70223)+~P117(x70223)+~P2(f317(f317(f227(x70223),f317(f93(x70223),x70221)),f317(f93(x70223),x70222)))+P2(f317(f317(f227(a1),x70221),x70222))
% 192.07/191.93 [7050]~P108(x70501)+~P14(x70501,x70503)+P14(x70501,f317(f317(f141(x70501),x70502),x70503))+~P2(f317(f317(f226(x70501),x70502),f631(x70503,x70502,x70501)))
% 192.07/191.93 [7051]~P108(x70511)+~P14(x70511,x70513)+P14(x70511,f317(f317(f141(x70511),x70512),x70513))+~P2(f317(f317(f226(x70511),x70512),f633(x70513,x70512,x70511)))
% 192.07/191.93 [7052]~P108(x70521)+~P14(x70521,x70523)+P14(x70521,f317(f317(f141(x70521),x70522),x70523))+~P2(f317(f317(f226(x70521),x70522),f700(x70522,x70523,x70521)))
% 192.07/191.93 [7139]P147(x71392,x71393,x71391)+E(x71391,f2(a1))+P2(f317(f317(f227(a1),x71391),f2(a1)))+P2(f317(f317(f227(a1),f850(x71391,x71393,x71392)),x71391))
% 192.07/191.93 [7140]P148(x71402,x71403,x71401)+E(x71401,f2(a1))+P2(f317(f317(f227(a1),x71401),f2(a1)))+P2(f317(f317(f227(a1),f854(x71401,x71403,x71402)),x71401))
% 192.07/191.93 [7176]P147(x71762,x71763,x71761)+E(x71761,f2(a1))+P2(f317(f317(f226(a1),f849(x71761,x71763,x71762)),f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x71761))
% 192.07/191.93 [7177]P148(x71772,x71773,x71771)+E(x71771,f2(a1))+P2(f317(f317(f226(a1),f853(x71771,x71773,x71772)),f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x71771))
% 192.07/191.93 [7202]~P108(x72021)+~P14(x72021,x72023)+E(f317(f317(f138(x72021,x72021,f7(x72021)),x72022),f160(x72021,x72022,x72023)),x72023)+~P2(f317(f317(f319(x72021),x72022),f317(f162(x72021),x72023)))
% 192.07/191.93 [7249]P147(x72491,x72492,x72493)+~P2(f317(x72491,x72492))+P2(f317(f317(f227(a1),x72493),f2(a1)))+P2(f317(f317(f227(a1),f850(x72493,x72492,x72491)),x72493))
% 192.07/191.93 [7255]~P107(x72551)+~P94(x72551)+E(f317(f317(f224(x72551),f317(f93(x72551),x72552)),f317(f93(x72551),x72553)),f317(f93(x72551),x72552))+~P2(f317(f317(f226(x72551),f317(f93(x72551),x72552)),f317(f93(x72551),x72553)))
% 192.07/191.93 [7256]~P107(x72561)+~P94(x72561)+E(f317(f317(f225(x72561),f317(f93(x72561),x72562)),f317(f93(x72561),x72563)),f317(f93(x72561),x72563))+~P2(f317(f317(f226(x72561),f317(f93(x72561),x72562)),f317(f93(x72561),x72563)))
% 192.07/191.93 [7270]P148(x72701,x72702,x72703)+~P2(f317(x72701,f2(a1)))+P2(f317(f317(f227(a1),x72703),f2(a1)))+P2(f317(f317(f227(a1),f854(x72703,x72702,x72701)),x72703))
% 192.07/191.93 [7280]P147(x72801,x72802,x72803)+~P2(f317(x72801,x72802))+P2(f317(f317(f226(a1),f849(x72803,x72802,x72801)),f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x72803))
% 192.07/191.93 [7304]P148(x73041,x73042,x73043)+~P2(f317(x73041,f2(a1)))+P2(f317(f317(f226(a1),f853(x73043,x73042,x73041)),f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x73043))
% 192.07/191.93 [7330]~P2(f317(x73301,x73302))+P2(f317(x73301,f2(a903)))+~P2(f317(f317(f227(a903),x73302),x73303))+P2(f317(f317(f227(a903),f880(x73302,x73301,x73303)),x73303))
% 192.07/191.93 [7347]~P108(x73471)+~P14(x73471,x73473)+P14(x73471,f317(f317(f141(x73471),x73472),x73473))+P2(f317(f317(f319(x73471),f631(x73473,x73472,x73471)),f317(f162(x73471),x73473)))
% 192.07/191.93 [7348]~P108(x73481)+~P14(x73481,x73483)+P14(x73481,f317(f317(f141(x73481),x73482),x73483))+P2(f317(f317(f319(x73481),f633(x73483,x73482,x73481)),f317(f162(x73481),x73483)))
% 192.07/191.93 [7349]~P108(x73491)+~P14(x73491,x73493)+P14(x73491,f317(f317(f141(x73491),x73492),x73493))+P2(f317(f317(f319(x73491),f700(x73492,x73493,x73491)),f317(f162(x73491),x73493)))
% 192.07/191.93 [7465]~P108(x74651)+~P6(x74651)+~P2(f317(f317(f227(x74651),x74653),f32(x74651,x74652)))+P2(f317(f317(f319(x74651),f379(x74652,x74653,x74651)),x74652))
% 192.07/191.93 [7620]~P108(x76201)+~P6(x76201)+~P2(f317(f317(f227(x76201),f33(x76201,x76203)),x76202))+P2(f317(f317(f319(x76201),f400(x76202,x76203,x76201)),x76203))
% 192.07/191.93 [7621]~P108(x76211)+~P6(x76211)+~P2(f317(f317(f227(x76211),f33(x76211,x76213)),x76212))+P2(f317(f317(f227(x76211),f400(x76212,x76213,x76211)),x76212))
% 192.07/191.93 [7633]P147(x76332,x76333,x76331)+E(x76331,f2(a1))+P2(f317(f317(f227(a1),x76331),f849(x76331,x76333,x76332)))+P2(f317(f317(f227(a1),f850(x76331,x76333,x76332)),x76331))
% 192.07/191.93 [7634]P148(x76342,x76343,x76341)+E(x76341,f2(a1))+P2(f317(f317(f227(a1),x76341),f853(x76341,x76343,x76342)))+P2(f317(f317(f227(a1),f854(x76341,x76343,x76342)),x76341))
% 192.07/191.93 [7728]P147(x77283,x77282,x77281)+E(x77281,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77281),f852(x77281,x77282,x77283))),f849(x77281,x77282,x77283)),x77282)+P2(f317(f317(f227(a1),f2(a1)),x77281))
% 192.07/191.93 [7729]P148(x77293,x77292,x77291)+E(x77291,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77291),f856(x77291,x77292,x77293))),f853(x77291,x77292,x77293)),x77292)+P2(f317(f317(f227(a1),f2(a1)),x77291))
% 192.07/191.93 [7731]~P126(x77311)+~P2(f317(f317(f226(x77311),x77313),f2(x77311)))+P2(f317(f317(f226(x77311),f317(f317(f75(x77311),x77312),x77313)),f2(x77311)))+~P2(f317(f317(f226(x77311),f2(x77311)),x77312))
% 192.07/191.93 [7732]~P126(x77321)+~P2(f317(f317(f226(x77321),x77322),f2(x77321)))+P2(f317(f317(f226(x77321),f317(f317(f75(x77321),x77322),x77323)),f2(x77321)))+~P2(f317(f317(f226(x77321),f2(x77321)),x77323))
% 192.07/191.93 [7734]~P136(x77341)+~P2(f317(f317(f226(x77341),x77343),f2(x77341)))+P2(f317(f317(f226(x77341),f317(f317(f75(x77341),x77342),x77343)),f2(x77341)))+~P2(f317(f317(f226(x77341),f2(x77341)),x77342))
% 192.07/191.93 [7736]~P136(x77361)+~P2(f317(f317(f226(x77361),x77362),f2(x77361)))+P2(f317(f317(f226(x77361),f317(f317(f75(x77361),x77362),x77363)),f2(x77361)))+~P2(f317(f317(f226(x77361),f2(x77361)),x77363))
% 192.07/191.93 [7737]~P63(x77371)+~P2(f317(f317(f226(x77371),x77373),f2(x77371)))+P2(f317(f317(f226(x77371),f317(f317(f281(x77371),x77372),x77373)),f2(x77371)))+~P2(f317(f317(f226(x77371),f2(x77371)),x77372))
% 192.07/191.93 [7738]~P63(x77381)+~P2(f317(f317(f226(x77381),x77382),f2(x77381)))+P2(f317(f317(f226(x77381),f317(f317(f281(x77381),x77382),x77383)),f2(x77381)))+~P2(f317(f317(f226(x77381),f2(x77381)),x77383))
% 192.07/191.93 [7739]~P64(x77391)+~P2(f317(f317(f226(x77391),x77392),f2(x77391)))+P2(f317(f317(f226(x77391),f317(f317(f281(x77391),x77392),x77393)),f2(x77391)))+~P2(f317(f317(f227(x77391),f2(x77391)),x77393))
% 192.07/191.93 [7740]~P64(x77401)+~P2(f317(f317(f227(x77401),x77403),f2(x77401)))+P2(f317(f317(f226(x77401),f317(f317(f281(x77401),x77402),x77403)),f2(x77401)))+~P2(f317(f317(f226(x77401),f2(x77401)),x77402))
% 192.07/191.93 [7742]~P134(x77421)+~P2(f317(f317(f227(x77421),x77423),f2(x77421)))+P2(f317(f317(f227(x77421),f317(f317(f75(x77421),x77422),x77423)),f2(x77421)))+~P2(f317(f317(f227(x77421),f2(x77421)),x77422))
% 192.07/191.93 [7743]~P134(x77431)+~P2(f317(f317(f227(x77431),x77432),f2(x77431)))+P2(f317(f317(f227(x77431),f317(f317(f75(x77431),x77432),x77433)),f2(x77431)))+~P2(f317(f317(f227(x77431),f2(x77431)),x77433))
% 192.07/191.93 [7744]~P63(x77441)+~P2(f317(f317(f227(x77441),x77443),f2(x77441)))+P2(f317(f317(f227(x77441),f317(f317(f281(x77441),x77442),x77443)),f2(x77441)))+~P2(f317(f317(f227(x77441),f2(x77441)),x77442))
% 192.07/191.93 [7745]~P63(x77451)+~P2(f317(f317(f227(x77451),x77452),f2(x77451)))+P2(f317(f317(f227(x77451),f317(f317(f281(x77451),x77452),x77453)),f2(x77451)))+~P2(f317(f317(f227(x77451),f2(x77451)),x77453))
% 192.07/191.93 [7746]~P64(x77461)+~P2(f317(f317(f227(x77461),x77463),f2(x77461)))+P2(f317(f317(f227(x77461),f317(f317(f281(x77461),x77462),x77463)),f2(x77461)))+~P2(f317(f317(f227(x77461),f2(x77461)),x77462))
% 192.07/191.93 [7747]~P64(x77471)+~P2(f317(f317(f227(x77471),x77472),f2(x77471)))+P2(f317(f317(f227(x77471),f317(f317(f281(x77471),x77472),x77473)),f2(x77471)))+~P2(f317(f317(f227(x77471),f2(x77471)),x77473))
% 192.07/191.93 [7762]P147(x77621,x77622,x77623)+~P2(f317(x77621,x77622))+P2(f317(f317(f227(a1),x77623),f849(x77623,x77622,x77621)))+P2(f317(f317(f227(a1),f850(x77623,x77622,x77621)),x77623))
% 192.07/191.93 [7775]P148(x77751,x77752,x77753)+P2(f317(f317(f227(a1),x77753),f853(x77753,x77752,x77751)))+~P2(f317(x77751,f2(a1)))+P2(f317(f317(f227(a1),f854(x77753,x77752,x77751)),x77753))
% 192.07/191.93 [7827]P147(x78272,x78273,x78271)+E(x78271,f2(a1))+~P2(f317(x78272,f849(x78271,x78273,x78272)))+P2(f317(f317(f227(a1),f850(x78271,x78273,x78272)),x78271))
% 192.07/191.93 [7828]P148(x78282,x78283,x78281)+E(x78281,f2(a1))+~P2(f317(x78282,f856(x78281,x78283,x78282)))+P2(f317(f317(f227(a1),f854(x78281,x78283,x78282)),x78281))
% 192.07/191.93 [7838]P147(x78383,x78382,x78381)+~P2(f317(x78383,x78382))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78381),f852(x78381,x78382,x78383))),f849(x78381,x78382,x78383)),x78382)+P2(f317(f317(f227(a1),f2(a1)),x78381))
% 192.07/191.93 [7853]P148(x78533,x78532,x78531)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78531),f856(x78531,x78532,x78533))),f853(x78531,x78532,x78533)),x78532)+~P2(f317(x78533,f2(a1)))+P2(f317(f317(f227(a1),f2(a1)),x78531))
% 192.07/191.93 [7881]~P2(f317(x78811,x78813))+~P2(f317(f29(x78812),x78813))+P2(f317(f317(f319(x78812),f439(x78811,x78813,x78812)),f434(x78811,x78813,x78812)))+P2(f317(x78811,f178(f910(x78812,a898))))
% 192.07/191.93 [7893]P147(x78931,x78932,x78933)+~P2(f317(x78931,x78932))+~P2(f317(x78931,f849(x78933,x78932,x78931)))+P2(f317(f317(f227(a1),f850(x78933,x78932,x78931)),x78933))
% 192.07/191.93 [7899]P148(x78991,x78992,x78993)+~P2(f317(x78991,f856(x78993,x78992,x78991)))+~P2(f317(x78991,f2(a1)))+P2(f317(f317(f227(a1),f854(x78993,x78992,x78991)),x78993))
% 192.07/191.93 [8001]~P126(x80011)+~P2(f317(f317(f226(x80011),f317(f317(f75(x80011),x80013),x80012)),f2(x80011)))+P2(f317(f317(f226(x80011),x80012),f2(x80011)))+P2(f317(f317(f226(x80011),f2(x80011)),x80012))
% 192.07/191.93 [8002]~P126(x80021)+~P2(f317(f317(f226(x80021),f317(f317(f75(x80021),x80022),x80023)),f2(x80021)))+P2(f317(f317(f226(x80021),x80022),f2(x80021)))+P2(f317(f317(f226(x80021),f2(x80021)),x80022))
% 192.07/191.93 [8003]~P63(x80031)+~P2(f317(f317(f226(x80031),f317(f317(f281(x80031),x80033),x80032)),f2(x80031)))+P2(f317(f317(f226(x80031),x80032),f2(x80031)))+P2(f317(f317(f226(x80031),f2(x80031)),x80032))
% 192.07/191.93 [8004]~P63(x80041)+~P2(f317(f317(f226(x80041),f317(f317(f281(x80041),x80042),x80043)),f2(x80041)))+P2(f317(f317(f226(x80041),x80042),f2(x80041)))+P2(f317(f317(f226(x80041),f2(x80041)),x80042))
% 192.07/191.93 [8005]~P63(x80051)+~P2(f317(f317(f227(x80051),f317(f317(f281(x80051),x80053),x80052)),f2(x80051)))+P2(f317(f317(f227(x80051),x80052),f2(x80051)))+P2(f317(f317(f227(x80051),f2(x80051)),x80052))
% 192.07/191.93 [8006]~P63(x80061)+~P2(f317(f317(f227(x80061),f317(f317(f281(x80061),x80062),x80063)),f2(x80061)))+P2(f317(f317(f227(x80061),x80062),f2(x80061)))+P2(f317(f317(f227(x80061),f2(x80061)),x80062))
% 192.07/191.93 [8030]~P126(x80301)+~P2(f317(f317(f226(x80301),f317(f317(f75(x80301),x80302),x80303)),f2(x80301)))+P2(f317(f317(f226(x80301),f2(x80301)),x80302))+P2(f317(f317(f226(x80301),f2(x80301)),x80303))
% 192.07/191.93 [8031]~P63(x80311)+~P2(f317(f317(f226(x80311),f317(f317(f281(x80311),x80312),x80313)),f2(x80311)))+P2(f317(f317(f226(x80311),f2(x80311)),x80312))+P2(f317(f317(f226(x80311),f2(x80311)),x80313))
% 192.07/191.93 [8032]~P63(x80321)+~P2(f317(f317(f227(x80321),f317(f317(f281(x80321),x80322),x80323)),f2(x80321)))+P2(f317(f317(f227(x80321),f2(x80321)),x80322))+P2(f317(f317(f227(x80321),f2(x80321)),x80323))
% 192.07/191.93 [8054]P147(x80542,x80543,x80541)+E(x80541,f2(a1))+P2(f317(f317(f226(a1),f849(x80541,x80543,x80542)),f2(a1)))+P2(f317(f317(f227(a1),f850(x80541,x80543,x80542)),x80541))
% 192.07/191.93 [8055]P148(x80552,x80553,x80551)+E(x80551,f2(a1))+P2(f317(f317(f226(a1),f853(x80551,x80553,x80552)),f2(a1)))+P2(f317(f317(f227(a1),f854(x80551,x80553,x80552)),x80551))
% 192.07/191.93 [8062]~P110(x80621)+~P2(f317(f317(f227(x80621),x80622),f72(x80621)))+P2(f317(f317(f227(x80621),f317(f317(f234(x80621),x80622),f317(a102,x80623))),f72(x80621)))+~P2(f317(f317(f227(x80621),f2(x80621)),x80622))
% 192.07/191.93 [8115]~P108(x81151)+~E(x81153,f103(x81151))+~P14(x81151,f317(f158(x81151),x81153))+E(f317(f132(x81151,x81151,f317(f9(x81151,x81151,x81151),f225(x81151)),x81152),f317(f158(x81151),x81153)),x81152)
% 192.07/191.93 [8118]P147(x81181,x81182,x81183)+~P2(f317(x81181,x81182))+P2(f317(f317(f226(a1),f849(x81183,x81182,x81181)),f2(a1)))+P2(f317(f317(f227(a1),f850(x81183,x81182,x81181)),x81183))
% 192.07/191.93 [8125]P148(x81251,x81252,x81253)+~P2(f317(x81251,f2(a1)))+P2(f317(f317(f226(a1),f853(x81253,x81252,x81251)),f2(a1)))+P2(f317(f317(f227(a1),f854(x81253,x81252,x81251)),x81253))
% 192.07/191.93 [8343]P147(x83433,x83432,x83431)+E(x83431,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83431),f852(x83431,x83432,x83433))),f849(x83431,x83432,x83433)),x83432)+P2(f317(f317(f227(a1),f850(x83431,x83432,x83433)),x83431))
% 192.07/191.93 [8344]P148(x83443,x83442,x83441)+E(x83441,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83441),f856(x83441,x83442,x83443))),f853(x83441,x83442,x83443)),x83442)+P2(f317(f317(f227(a1),f854(x83441,x83442,x83443)),x83441))
% 192.07/191.93 [8380]P147(x83803,x83802,x83801)+~P2(f317(x83803,x83802))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83801),f852(x83801,x83802,x83803))),f849(x83801,x83802,x83803)),x83802)+P2(f317(f317(f227(a1),f850(x83801,x83802,x83803)),x83801))
% 192.07/191.93 [8381]~P71(x83811)+~P75(x83811)+~P40(x83813)+E(f317(f317(f11(a903,x83811),f317(f317(f10(a1,x83811,a903),x83812),f90(a1))),f317(f300(a1,a903,a94),x83813)),f317(f317(f11(a1,x83811),x83812),x83813))
% 192.07/191.93 [8382]~P71(x83821)+~P75(x83821)+~P40(x83823)+E(f317(f317(f8(a903,x83821),f317(f317(f10(a1,x83821,a903),x83822),f90(a1))),f317(f300(a1,a903,a94),x83823)),f317(f317(f8(a1,x83821),x83822),x83823))
% 192.07/191.93 [8391]P148(x83913,x83912,x83911)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83911),f856(x83911,x83912,x83913))),f853(x83911,x83912,x83913)),x83912)+~P2(f317(x83913,f2(a1)))+P2(f317(f317(f227(a1),f854(x83911,x83912,x83913)),x83911))
% 192.07/191.93 [8413]~E(x84132,f2(a903))+~E(f317(f241(a903,a903),x84133),f2(a903))+~E(x84131,f317(f317(f74(a903),f317(f317(f75(a903),f317(f241(a903,a903),x84133)),x84132)),f317(f246(a903,a903),x84133)))+P2(f317(f44(x84131,x84132),x84133))
% 192.07/191.93 [8470]P2(f317(x84701,x84702))+~P2(f317(f317(f319(x84703),f358(x84701,x84702,x84703)),f365(x84701,x84702,x84703)))+~P2(f317(f29(x84703),x84702))+~P2(f317(x84701,f178(f910(x84703,a898))))
% 192.07/191.93 [9095]P2(f317(x90951,x90952))+~P2(f317(f29(x90953),x90952))+~P2(f317(x90951,f317(f317(f299(x90953),f358(x90951,x90952,x90953)),f365(x90951,x90952,x90953))))+~P2(f317(x90951,f178(f910(x90953,a898))))
% 192.07/191.93 [9326]P2(f317(f317(f226(a1),x93261),f2(a1)))+~P2(f317(f317(f227(a1),f317(f317(f74(a1),f317(f317(f75(a1),x93263),x93261)),x93262)),f2(a1)))+~P2(f317(f317(f226(a1),f2(a1)),x93262))+~P2(f317(f317(f227(a1),f2(a1)),x93263))
% 192.07/191.93 [5885]~P102(x58852)+E(x58851,f178(f910(x58852,a898)))+~P2(f317(f29(x58852),x58851))+E(f12(x58852,f317(f317(f299(x58852),x58853),x58851)),f317(f317(f100(x58852),x58853),f12(x58852,x58851)))
% 192.07/191.93 [5886]~P102(x58862)+E(x58861,f178(f910(x58862,a898)))+~P2(f317(f29(x58862),x58861))+E(f13(x58862,f317(f317(f299(x58862),x58863),x58861)),f317(f317(f91(x58862),x58863),f13(x58862,x58861)))
% 192.07/191.93 [5887]~P108(x58872)+E(x58871,f178(f910(x58872,a898)))+~P2(f317(f29(x58872),x58871))+E(f16(x58872,f317(f317(f299(x58872),x58873),x58871)),f317(f317(f224(x58872),x58873),f16(x58872,x58871)))
% 192.07/191.93 [5888]~P108(x58882)+E(x58881,f178(f910(x58882,a898)))+~P2(f317(f29(x58882),x58881))+E(f17(x58882,f317(f317(f299(x58882),x58883),x58881)),f317(f317(f225(x58882),x58883),f17(x58882,x58881)))
% 192.07/191.93 [6219]~P126(x62191)+~E(x62193,f2(x62191))+~E(x62192,f2(x62191))+E(f317(f317(f74(x62191),f317(f317(f75(x62191),x62192),x62192)),f317(f317(f75(x62191),x62193),x62193)),f2(x62191))
% 192.07/191.93 [6292]~P97(x62922)+E(x62921,f178(f910(x62922,a898)))+~P2(f317(f29(x62922),x62921))+E(f317(f58(x62922,f75(x62922)),f317(f317(f299(x62922),x62923),x62921)),f317(f317(f75(x62922),x62923),f317(f58(x62922,f75(x62922)),x62921)))
% 192.07/191.93 [6423]~P108(x64232)+E(x64231,f178(f910(x64232,a898)))+~P2(f317(f29(x64232),x64231))+E(f14(x64232,f224(x64232),f317(f317(f299(x64232),x64233),x64231)),f317(f317(f224(x64232),x64233),f14(x64232,f224(x64232),x64231)))
% 192.07/191.93 [6424]~P108(x64242)+E(x64241,f178(f910(x64242,a898)))+~P2(f317(f29(x64242),x64241))+E(f15(x64242,f225(x64242),f317(f317(f299(x64242),x64243),x64241)),f317(f317(f225(x64242),x64243),f15(x64242,f225(x64242),x64241)))
% 192.07/191.93 [6946]~P69(x69461)+~P2(f317(f29(x69461),x69463))+E(f317(f58(x69461,f75(x69461)),f317(f317(f299(x69461),x69462),x69463)),f317(f317(f59(x69461,x69461,f75(x69461)),x69462),x69463))+P2(f317(f317(f319(x69461),x69462),x69463))
% 192.07/191.93 [7028]~E(f317(f317(f74(a1),x70282),f317(f317(f75(a1),x70283),x70281)),x70283)+~P2(f317(f317(f227(a1),f2(a1)),x70283))+P2(f317(f317(f226(a1),f72(a1)),x70281))+~P2(f317(f317(f227(a1),x70282),x70283))
% 192.07/191.93 [7057]~E(f317(f317(f74(a1),x70572),f317(f317(f75(a1),x70573),x70571)),x70573)+P2(f317(f317(f226(a1),x70571),f72(a1)))+~P2(f317(f317(f226(a1),f2(a1)),x70572))+~P2(f317(f317(f227(a1),f2(a1)),x70573))
% 192.07/191.93 [7075]E(x70751,f2(a903))+~P2(f317(f44(x70753,x70751),x70752))+~P2(f317(f317(f227(a903),f2(a903)),x70751))+P2(f317(f317(f227(a903),f317(f246(a903,a903),x70752)),x70751))
% 192.07/191.93 [7106]~P139(x71061)+~P2(f317(f317(f226(x71061),x71062),f2(x71061)))+~P2(f317(f317(f226(x71061),x71063),f2(x71061)))+E(f317(f317(f75(x71061),f317(f70(x71061),x71062)),f317(f70(x71061),x71063)),f317(f70(x71061),f317(f317(f75(x71061),x71062),x71063)))
% 192.07/191.93 [7153]~P139(x71531)+~P2(f317(f317(f226(x71531),x71532),f2(x71531)))+E(f317(f317(f75(x71531),f317(f70(x71531),x71532)),f317(f70(x71531),x71533)),f317(f70(x71531),f317(f317(f75(x71531),x71532),x71533)))+~P2(f317(f317(f226(x71531),f2(x71531)),x71533))
% 192.07/191.93 [7154]~P139(x71541)+~P2(f317(f317(f226(x71541),x71543),f2(x71541)))+E(f317(f317(f75(x71541),f317(f70(x71541),x71542)),f317(f70(x71541),x71543)),f317(f70(x71541),f317(f317(f75(x71541),x71542),x71543)))+~P2(f317(f317(f226(x71541),f2(x71541)),x71542))
% 192.07/191.93 [7210]~P139(x72101)+E(f317(f317(f75(x72101),f317(f70(x72101),x72102)),f317(f70(x72101),x72103)),f317(f70(x72101),f317(f317(f75(x72101),x72102),x72103)))+~P2(f317(f317(f226(x72101),f2(x72101)),x72102))+~P2(f317(f317(f226(x72101),f2(x72101)),x72103))
% 192.07/191.93 [7227]~P129(x72271)+~P2(f317(f317(f226(x72271),x72273),f2(x72271)))+~P2(f317(f317(f226(x72271),x72272),f2(x72271)))+P2(f317(f317(f226(x72271),f2(x72271)),f317(f317(f75(x72271),x72272),x72273)))
% 192.07/191.93 [7228]~P126(x72281)+~P2(f317(f317(f226(x72281),x72283),f2(x72281)))+~P2(f317(f317(f226(x72281),x72282),f2(x72281)))+P2(f317(f317(f226(x72281),f2(x72281)),f317(f317(f75(x72281),x72282),x72283)))
% 192.07/191.93 [7229]~P63(x72291)+~P2(f317(f317(f226(x72291),x72293),f2(x72291)))+~P2(f317(f317(f226(x72291),x72292),f2(x72291)))+P2(f317(f317(f226(x72291),f2(x72291)),f317(f317(f281(x72291),x72292),x72293)))
% 192.07/191.93 [7230]~P64(x72301)+~P2(f317(f317(f227(x72301),x72303),f2(x72301)))+~P2(f317(f317(f226(x72301),x72302),f2(x72301)))+P2(f317(f317(f226(x72301),f2(x72301)),f317(f317(f281(x72301),x72302),x72303)))
% 192.07/191.93 [7231]~P126(x72311)+~P2(f317(f317(f227(x72311),x72313),f2(x72311)))+~P2(f317(f317(f227(x72311),x72312),f2(x72311)))+P2(f317(f317(f227(x72311),f2(x72311)),f317(f317(f75(x72311),x72312),x72313)))
% 192.07/191.93 [7232]~P63(x72321)+~P2(f317(f317(f227(x72321),x72323),f2(x72321)))+~P2(f317(f317(f227(x72321),x72322),f2(x72321)))+P2(f317(f317(f227(x72321),f2(x72321)),f317(f317(f281(x72321),x72322),x72323)))
% 192.07/191.93 [7233]~P64(x72331)+~P2(f317(f317(f227(x72331),x72333),f2(x72331)))+~P2(f317(f317(f227(x72331),x72332),f2(x72331)))+P2(f317(f317(f227(x72331),f2(x72331)),f317(f317(f281(x72331),x72332),x72333)))
% 192.07/191.93 [7234]~P110(x72341)+~P2(f317(f317(f227(a903),f2(a903)),x72343))+~P2(f317(f317(f227(x72341),f72(x72341)),x72342))+P2(f317(f317(f227(x72341),f72(x72341)),f317(f317(f234(x72341),x72342),x72343)))
% 192.07/191.93 [7331]~P129(x73311)+~P2(f317(f317(f226(x73311),f2(x73311)),x73313))+~P2(f317(f317(f226(x73311),f2(x73311)),x73312))+P2(f317(f317(f226(x73311),f2(x73311)),f317(f317(f75(x73311),x73312),x73313)))
% 192.07/191.93 [7332]~P126(x73321)+~P2(f317(f317(f226(x73321),f2(x73321)),x73323))+~P2(f317(f317(f226(x73321),f2(x73321)),x73322))+P2(f317(f317(f226(x73321),f2(x73321)),f317(f317(f75(x73321),x73322),x73323)))
% 192.07/191.93 [7333]~P136(x73331)+~P2(f317(f317(f226(x73331),f2(x73331)),x73333))+~P2(f317(f317(f226(x73331),f2(x73331)),x73332))+P2(f317(f317(f226(x73331),f2(x73331)),f317(f317(f75(x73331),x73332),x73333)))
% 192.07/191.93 [7335]~P63(x73351)+~P2(f317(f317(f226(x73351),f2(x73351)),x73353))+~P2(f317(f317(f226(x73351),f2(x73351)),x73352))+P2(f317(f317(f226(x73351),f2(x73351)),f317(f317(f281(x73351),x73352),x73353)))
% 192.07/191.93 [7336]~P64(x73361)+~P2(f317(f317(f227(x73361),f2(x73361)),x73363))+~P2(f317(f317(f226(x73361),f2(x73361)),x73362))+P2(f317(f317(f226(x73361),f2(x73361)),f317(f317(f281(x73361),x73362),x73363)))
% 192.07/191.93 [7337]~P110(x73371)+~P2(f317(f317(f227(x73371),f72(x73371)),x73373))+~P2(f317(f317(f227(x73371),f72(x73371)),x73372))+P2(f317(f317(f227(x73371),f72(x73371)),f317(f317(f75(x73371),x73372),x73373)))
% 192.07/191.93 [7338]~P134(x73381)+~P2(f317(f317(f227(x73381),f2(x73381)),x73383))+~P2(f317(f317(f227(x73381),f2(x73381)),x73382))+P2(f317(f317(f227(x73381),f2(x73381)),f317(f317(f75(x73381),x73382),x73383)))
% 192.07/191.93 [7341]~P88(x73411)+~P2(f317(f317(f227(x73411),f2(x73411)),x73413))+~P2(f317(f317(f227(x73411),f2(x73411)),x73412))+P2(f317(f317(f227(x73411),f2(x73411)),f317(f317(f74(x73411),x73412),x73413)))
% 192.07/191.93 [7342]~P63(x73421)+~P2(f317(f317(f227(x73421),f2(x73421)),x73423))+~P2(f317(f317(f227(x73421),f2(x73421)),x73422))+P2(f317(f317(f227(x73421),f2(x73421)),f317(f317(f281(x73421),x73422),x73423)))
% 192.07/191.93 [7343]~P64(x73431)+~P2(f317(f317(f227(x73431),f2(x73431)),x73433))+~P2(f317(f317(f227(x73431),f2(x73431)),x73432))+P2(f317(f317(f227(x73431),f2(x73431)),f317(f317(f281(x73431),x73432),x73433)))
% 192.07/191.93 [7422]~P102(x74221)+~P2(f317(f29(x74221),x74223))+E(f12(x74221,f317(f317(f299(x74221),x74222),x74223)),x74222)+~E(f317(f317(f3(f910(x74221,a898)),x74223),f317(f317(f299(x74221),x74222),f178(f910(x74221,a898)))),f178(f910(x74221,a898)))
% 192.07/191.93 [7423]~P102(x74231)+~P2(f317(f29(x74231),x74233))+E(f13(x74231,f317(f317(f299(x74231),x74232),x74233)),x74232)+~E(f317(f317(f3(f910(x74231,a898)),x74233),f317(f317(f299(x74231),x74232),f178(f910(x74231,a898)))),f178(f910(x74231,a898)))
% 192.07/191.93 [7424]~P108(x74241)+~P2(f317(f29(x74241),x74243))+E(f16(x74241,f317(f317(f299(x74241),x74242),x74243)),x74242)+~E(f317(f317(f3(f910(x74241,a898)),x74243),f317(f317(f299(x74241),x74242),f178(f910(x74241,a898)))),f178(f910(x74241,a898)))
% 192.07/191.93 [7425]~P108(x74251)+~P2(f317(f29(x74251),x74253))+E(f17(x74251,f317(f317(f299(x74251),x74252),x74253)),x74252)+~E(f317(f317(f3(f910(x74251,a898)),x74253),f317(f317(f299(x74251),x74252),f178(f910(x74251,a898)))),f178(f910(x74251,a898)))
% 192.07/191.93 [7427]~P126(x74271)+P2(f317(f317(f226(x74271),x74272),f2(x74271)))+P2(f317(f317(f226(x74271),f2(x74271)),x74273))+~P2(f317(f317(f226(x74271),f2(x74271)),f317(f317(f75(x74271),x74273),x74272)))
% 192.07/191.93 [7428]~P126(x74281)+P2(f317(f317(f226(x74281),x74282),f2(x74281)))+P2(f317(f317(f226(x74281),f2(x74281)),x74283))+~P2(f317(f317(f226(x74281),f2(x74281)),f317(f317(f75(x74281),x74282),x74283)))
% 192.07/191.93 [7429]~P63(x74291)+P2(f317(f317(f226(x74291),x74292),f2(x74291)))+P2(f317(f317(f226(x74291),f2(x74291)),x74293))+~P2(f317(f317(f226(x74291),f2(x74291)),f317(f317(f281(x74291),x74293),x74292)))
% 192.07/191.93 [7430]~P63(x74301)+P2(f317(f317(f226(x74301),x74302),f2(x74301)))+P2(f317(f317(f226(x74301),f2(x74301)),x74303))+~P2(f317(f317(f226(x74301),f2(x74301)),f317(f317(f281(x74301),x74302),x74303)))
% 192.07/191.93 [7431]~P126(x74311)+P2(f317(f317(f226(x74311),x74312),f2(x74311)))+P2(f317(f317(f226(x74311),f2(x74311)),x74312))+~P2(f317(f317(f226(x74311),f2(x74311)),f317(f317(f75(x74311),x74313),x74312)))
% 192.07/191.93 [7432]~P126(x74321)+P2(f317(f317(f226(x74321),x74322),f2(x74321)))+P2(f317(f317(f226(x74321),f2(x74321)),x74322))+~P2(f317(f317(f226(x74321),f2(x74321)),f317(f317(f75(x74321),x74322),x74323)))
% 192.07/191.93 [7433]~P63(x74331)+P2(f317(f317(f226(x74331),x74332),f2(x74331)))+P2(f317(f317(f226(x74331),f2(x74331)),x74332))+~P2(f317(f317(f226(x74331),f2(x74331)),f317(f317(f281(x74331),x74333),x74332)))
% 192.07/191.93 [7434]~P63(x74341)+P2(f317(f317(f226(x74341),x74342),f2(x74341)))+P2(f317(f317(f226(x74341),f2(x74341)),x74342))+~P2(f317(f317(f226(x74341),f2(x74341)),f317(f317(f281(x74341),x74342),x74343)))
% 192.07/191.93 [7435]~P63(x74351)+P2(f317(f317(f227(x74351),x74352),f2(x74351)))+P2(f317(f317(f227(x74351),f2(x74351)),x74353))+~P2(f317(f317(f227(x74351),f2(x74351)),f317(f317(f281(x74351),x74353),x74352)))
% 192.07/191.93 [7436]~P63(x74361)+P2(f317(f317(f227(x74361),x74362),f2(x74361)))+P2(f317(f317(f227(x74361),f2(x74361)),x74363))+~P2(f317(f317(f227(x74361),f2(x74361)),f317(f317(f281(x74361),x74362),x74363)))
% 192.07/191.93 [7437]~P63(x74371)+P2(f317(f317(f227(x74371),x74372),f2(x74371)))+P2(f317(f317(f227(x74371),f2(x74371)),x74372))+~P2(f317(f317(f227(x74371),f2(x74371)),f317(f317(f281(x74371),x74373),x74372)))
% 192.07/191.93 [7438]~P63(x74381)+P2(f317(f317(f227(x74381),x74382),f2(x74381)))+P2(f317(f317(f227(x74381),f2(x74381)),x74382))+~P2(f317(f317(f227(x74381),f2(x74381)),f317(f317(f281(x74381),x74382),x74383)))
% 192.07/191.93 [7511]~P2(f317(f317(f277(a903),x75111),x75113))+P2(f317(f317(f277(a903),x75111),x75112))+~P2(f317(f317(f226(a903),x75112),x75113))+~P2(f317(f317(f277(a903),x75111),f317(f317(f3(a903),x75113),x75112)))
% 192.07/191.93 [7512]~P2(f317(f317(f277(a903),x75121),x75123))+P2(f317(f317(f277(a903),x75121),x75122))+~P2(f317(f317(f226(a903),x75123),x75122))+~P2(f317(f317(f277(a903),x75121),f317(f317(f3(a903),x75122),x75123)))
% 192.07/191.93 [7527]~E(f317(f317(f91(f910(x75271,a898)),f317(f162(x75271),x75272)),f317(f162(x75271),x75273)),f178(f910(x75271,a898)))+~P2(f317(f127(x75271),x75273))+~P2(f317(f127(x75271),x75272))+P2(f317(f127(x75271),f317(f317(f124(x75271),x75272),x75273)))
% 192.07/191.93 [7528]~P108(x75281)+~P2(f317(f29(x75281),x75283))+E(f14(x75281,f224(x75281),f317(f317(f299(x75281),x75282),x75283)),x75282)+~E(f317(f317(f3(f910(x75281,a898)),x75283),f317(f317(f299(x75281),x75282),f178(f910(x75281,a898)))),f178(f910(x75281,a898)))
% 192.07/191.93 [7529]~P108(x75291)+~P2(f317(f29(x75291),x75293))+E(f15(x75291,f225(x75291),f317(f317(f299(x75291),x75292),x75293)),x75292)+~E(f317(f317(f3(f910(x75291,a898)),x75293),f317(f317(f299(x75291),x75292),f178(f910(x75291,a898)))),f178(f910(x75291,a898)))
% 192.07/191.93 [7542]~P85(x75421)+~P2(f317(f317(f226(x75421),x75422),x75423))+~P2(f317(f317(f226(x75421),f317(f73(x75421),x75422)),x75423))+P2(f317(f317(f226(x75421),f317(f70(x75421),x75422)),x75423))
% 192.07/191.93 [7543]~P117(x75431)+~P2(f317(f317(f227(x75431),x75432),x75433))+~P2(f317(f317(f227(x75431),f317(f73(x75431),x75432)),x75433))+P2(f317(f317(f227(x75431),f317(f70(x75431),x75432)),x75433))
% 192.07/191.93 [7609]~P134(x76091)+P2(f317(f317(f227(x76091),f2(x76091)),x76092))+~P2(f317(f317(f227(x76091),f2(x76091)),x76093))+~P2(f317(f317(f227(x76091),f2(x76091)),f317(f317(f75(x76091),x76093),x76092)))
% 192.07/191.93 [7610]~P134(x76101)+P2(f317(f317(f227(x76101),f2(x76101)),x76102))+~P2(f317(f317(f227(x76101),f2(x76101)),x76103))+~P2(f317(f317(f227(x76101),f2(x76101)),f317(f317(f75(x76101),x76102),x76103)))
% 192.07/191.93 [7913]E(x79131,x79132)+~P2(f317(f29(x79133),x79131))+~P2(f317(f317(f226(a903),f317(f30(x79133),x79131)),f317(f30(x79133),x79132)))+~P2(f317(f317(f226(f910(x79133,a898)),x79132),x79131))
% 192.07/191.93 [8059]~P2(f317(f317(f227(a1),x80591),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x80592))+~P2(f317(f317(f226(a1),x80592),x80593))+P2(f317(f317(f226(a1),f317(f317(f31(a1),x80591),x80592)),f317(f317(f31(a1),x80591),x80593)))
% 192.07/191.93 [8069]~P2(f317(f317(f226(a1),f2(a1)),x80691))+~P2(f317(f317(f227(a1),f2(a1)),x80693))+~P2(f317(f317(f226(a1),x80693),x80692))+P2(f317(f317(f226(a1),f317(f317(f31(a1),x80691),x80692)),f317(f317(f31(a1),x80691),x80693)))
% 192.07/191.93 [8203]E(f317(x82031,f882(x82032,x82031,x82033)),x82032)+~P2(f317(f317(f226(a1),x82032),f317(x82031,x82033)))+P2(f317(f317(f227(a903),f883(x82032,x82031,x82033)),x82033))+~P2(f317(f317(f226(a1),f317(x82031,f2(a903))),x82032))
% 192.07/191.93 [8204]E(f317(x82041,f884(x82042,x82041,x82043)),x82042)+~P2(f317(f317(f226(a1),x82042),f317(x82041,x82043)))+P2(f317(f317(f227(a903),f885(x82042,x82041,x82043)),x82043))+~P2(f317(f317(f226(a1),f317(x82041,f2(a903))),x82042))
% 192.07/191.93 [8306]~P2(f317(f29(x83061),x83063))+~P2(f317(f317(f227(a903),f317(f30(x83061),x83062)),f317(f30(x83061),x83063)))+~P2(f317(f317(f226(f910(x83061,a898)),x83062),x83063))+P2(f317(f317(f227(f910(x83061,a898)),x83062),x83063))
% 192.07/191.93 [8333]E(f317(f317(f74(a1),f326(x83333,x83331,x83332)),f887(x83333,x83331,x83332)),x83331)+E(f317(f317(f3(a1),x83331),x83332),x83331)+~P2(f317(f317(f227(a1),f2(a1)),x83332))+~P2(f317(f317(f319(a1),f317(f317(f3(a1),x83331),f72(a1))),x83333))
% 192.07/191.93 [8334]E(f317(f317(f3(a1),f327(x83343,x83341,x83342)),f328(x83343,x83341,x83342)),x83341)+E(f317(f317(f74(a1),x83341),x83342),x83341)+~P2(f317(f317(f227(a1),f2(a1)),x83342))+~P2(f317(f317(f319(a1),f317(f317(f74(a1),x83341),f72(a1))),x83343))
% 192.07/191.93 [8386]~P2(f317(f317(f226(a903),x83863),x83861))+P2(f317(f317(f226(a903),x83861),x83862))+~P2(f317(f317(f226(a903),x83863),x83862))+~P2(f317(f317(f226(a903),f317(f317(f3(a903),x83861),x83863)),f317(f317(f3(a903),x83862),x83863)))
% 192.07/191.93 [8387]~P2(f317(f317(f226(a903),x83873),x83871))+P2(f317(f317(f227(a903),x83871),x83872))+~P2(f317(f317(f226(a903),x83873),x83872))+~P2(f317(f317(f227(a903),f317(f317(f3(a903),x83871),x83873)),f317(f317(f3(a903),x83872),x83873)))
% 192.07/191.93 [8406]~P108(x84062)+E(x84061,f103(x84062))+~P14(x84062,f317(f158(x84062),x84061))+E(f317(f132(x84062,x84062,f317(f9(x84062,x84062,x84062),f225(x84062)),x84063),f317(f158(x84062),x84061)),f317(f317(f225(x84062),f317(f317(f154(x84062),x84061),f2(a903))),x84063))
% 192.07/191.93 [8475]E(f317(f317(f3(a1),x84751),x84752),x84751)+~P2(f317(f317(f227(a1),f2(a1)),x84752))+P2(f317(f317(f319(a1),f326(x84753,x84751,x84752)),x84753))+~P2(f317(f317(f319(a1),f317(f317(f3(a1),x84751),f72(a1))),x84753))
% 192.07/191.93 [8476]E(f317(f317(f74(a1),x84761),x84762),x84761)+~P2(f317(f317(f227(a1),f2(a1)),x84762))+P2(f317(f317(f319(a1),f327(x84763,x84761,x84762)),x84763))+~P2(f317(f317(f319(a1),f317(f317(f74(a1),x84761),f72(a1))),x84763))
% 192.07/191.93 [8549]~P2(f317(f317(f226(a1),x85491),f317(x85492,x85493)))+P2(f317(f317(f227(a903),f883(x85491,x85492,x85493)),x85493))+P2(f317(f317(f226(a903),f882(x85491,x85492,x85493)),x85493))+~P2(f317(f317(f226(a1),f317(x85492,f2(a903))),x85491))
% 192.07/191.93 [8550]~P2(f317(f317(f226(a1),x85501),f317(x85502,x85503)))+P2(f317(f317(f227(a903),f885(x85501,x85502,x85503)),x85503))+P2(f317(f317(f226(a903),f884(x85501,x85502,x85503)),x85503))+~P2(f317(f317(f226(a1),f317(x85502,f2(a903))),x85501))
% 192.07/191.93 [8622]E(f317(f317(f3(a1),x86221),x86222),x86221)+~P2(f317(f317(f227(a1),f2(a1)),x86222))+P2(f317(f317(f319(a1),f887(x86223,x86221,x86222)),f293(a1,f72(a1),x86222)))+~P2(f317(f317(f319(a1),f317(f317(f3(a1),x86221),f72(a1))),x86223))
% 192.07/191.93 [8623]E(f317(f317(f74(a1),x86231),x86232),x86231)+~P2(f317(f317(f227(a1),f2(a1)),x86232))+P2(f317(f317(f319(a1),f328(x86233,x86231,x86232)),f293(a1,f72(a1),x86232)))+~P2(f317(f317(f319(a1),f317(f317(f74(a1),x86231),f72(a1))),x86233))
% 192.07/191.93 [8756]~P110(x87561)+~P2(f317(f317(f227(x87561),x87562),f72(x87561)))+~P2(f317(f317(f227(x87561),f2(x87561)),x87562))+P2(f317(f317(f227(x87561),f317(f317(f75(x87561),x87562),f317(f317(f234(x87561),x87562),x87563))),f317(f317(f234(x87561),x87562),x87563)))
% 192.07/191.93 [8849]~P2(f317(x88491,x88492))+P2(f317(x88491,f2(a903)))+~P2(f317(f317(f227(a903),x88492),x88493))+~P2(f317(x88491,f41(a903,f317(a102,f880(x88492,x88491,x88493)),x88493)))
% 192.07/191.93 [9001]E(f479(x90011,x90012,x90013),f2(a903))+P2(f317(f317(x90011,x90013),x90012))+P2(f317(f317(x90011,f479(x90011,x90012,x90013)),f41(a903,f478(x90011,x90012,x90013),f479(x90011,x90012,x90013))))+~P2(f317(f305(f909(a903,a903),a209),f317(f317(f242(a903,a903),x90013),x90012)))
% 192.07/191.93 [9037]~P25(x90371,x90371,x90372,x90373)+E(f317(f300(x90371,x90371,x90372),x90373),x90373)+~P2(f317(f29(x90371),x90373))+~P2(f317(f317(f226(f910(x90371,a898)),f317(f300(x90371,x90371,x90372),x90373)),x90373))
% 192.07/191.93 [9252]P2(f317(f317(x92521,x92522),x92523))+P2(f317(f317(f227(a1),f757(x92521,x92523,x92522)),f758(x92521,x92523,x92522)))+P2(f317(f317(x92521,f757(x92521,x92523,x92522)),f317(f317(f74(a1),f758(x92521,x92523,x92522)),f72(a1))))+~P2(f317(f305(f909(a1,a1),a123),f317(f317(f242(a1,a1),x92522),x92523)))
% 192.07/191.93 [9269]P2(f317(f317(x92691,x92692),x92693))+~P2(f317(f317(f227(a1),f477(x92691,x92693,x92692)),f2(a1)))+P2(f317(f317(x92691,f317(f73(a1),f474(x92691,x92693,x92692))),f317(f73(a1),f477(x92691,x92693,x92692))))+~P2(f317(f305(f909(a1,a1),a211),f317(f317(f242(a1,a1),x92692),x92693)))
% 192.07/191.93 [9461]P2(f317(f317(x94611,x94612),x94613))+P2(f317(f317(x94611,f317(f317(f74(a1),f599(x94611,x94613,x94612)),f72(a1))),f600(x94611,x94613,x94612)))+~P2(f317(f317(f226(a1),f599(x94611,x94613,x94612)),f600(x94611,x94613,x94612)))+~P2(f317(f305(f909(a1,a1),a172),f317(f317(f242(a1,a1),x94612),x94613)))
% 192.07/191.93 [9906]~P60(x99062)+~P60(x99061)+~P2(f317(f52(f909(x99061,x99062)),x99063))+P2(f317(f52(x99061),f317(f317(f10(f910(x99062,a898),a898,x99061),f52(x99062)),f317(f317(f10(f910(x99062,f909(x99061,x99062)),f910(x99062,a898),x99061),f317(f10(f909(x99061,x99062),a898,x99062),x99063)),f242(x99061,x99062)))))
% 192.07/191.93 [9907]~P60(x99072)+~P60(x99071)+~P2(f317(f53(f909(x99071,x99072)),x99073))+P2(f317(f53(x99071),f317(f317(f10(f910(x99072,a898),a898,x99071),f53(x99072)),f317(f317(f10(f910(x99072,f909(x99071,x99072)),f910(x99072,a898),x99071),f317(f10(f909(x99071,x99072),a898,x99072),x99073)),f242(x99071,x99072)))))
% 192.07/191.93 [10001]~P60(x100012)+~P60(x100011)+P2(f317(f52(f909(x100011,x100012)),x100013))+~P2(f317(f52(x100011),f317(f317(f10(f910(x100012,a898),a898,x100011),f52(x100012)),f317(f317(f10(f910(x100012,f909(x100011,x100012)),f910(x100012,a898),x100011),f317(f10(f909(x100011,x100012),a898,x100012),x100013)),f242(x100011,x100012)))))
% 192.07/191.93 [10002]~P60(x100022)+~P60(x100021)+P2(f317(f53(f909(x100021,x100022)),x100023))+~P2(f317(f53(x100021),f317(f317(f10(f910(x100022,a898),a898,x100021),f53(x100022)),f317(f317(f10(f910(x100022,f909(x100021,x100022)),f910(x100022,a898),x100021),f317(f10(f909(x100021,x100022),a898,x100022),x100023)),f242(x100021,x100022)))))
% 192.07/191.93 [10175]E(f317(x101751,f882(x101752,x101751,x101753)),x101752)+~P2(f317(f317(f226(a1),x101752),f317(x101751,x101753)))+~P2(f317(f317(f226(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101751,f317(f317(f74(a903),f883(x101752,x101751,x101753)),f72(a903)))),f317(x101751,f883(x101752,x101751,x101753))))),f72(a1)))+~P2(f317(f317(f226(a1),f317(x101751,f2(a903))),x101752))
% 192.07/191.93 [10176]E(f317(x101761,f884(x101762,x101761,x101763)),x101762)+~P2(f317(f317(f226(a1),x101762),f317(x101761,x101763)))+~P2(f317(f317(f226(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101761,f317(f317(f74(a903),f885(x101762,x101761,x101763)),f72(a903)))),f317(x101761,f885(x101762,x101761,x101763))))),f72(a1)))+~P2(f317(f317(f226(a1),f317(x101761,f2(a903))),x101762))
% 192.07/191.93 [10179]~P2(f317(f317(f226(a1),x101791),f317(x101792,x101793)))+~P2(f317(f317(f226(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101792,f317(f317(f74(a903),f883(x101791,x101792,x101793)),f72(a903)))),f317(x101792,f883(x101791,x101792,x101793))))),f72(a1)))+P2(f317(f317(f226(a903),f882(x101791,x101792,x101793)),x101793))+~P2(f317(f317(f226(a1),f317(x101792,f2(a903))),x101791))
% 192.07/191.93 [10180]~P2(f317(f317(f226(a1),x101801),f317(x101802,x101803)))+~P2(f317(f317(f226(a1),f317(f70(a1),f317(f317(f3(a1),f317(x101802,f317(f317(f74(a903),f885(x101801,x101802,x101803)),f72(a903)))),f317(x101802,f885(x101801,x101802,x101803))))),f72(a1)))+P2(f317(f317(f226(a903),f884(x101801,x101802,x101803)),x101803))+~P2(f317(f317(f226(a1),f317(x101802,f2(a903))),x101801))
% 192.07/191.93 [10237]E(x102371,x102372)+~E(f317(f132(f904(x102373),f904(x102373),f124(x102373),f103(x102373)),x102371),f317(f132(f904(x102373),f904(x102373),f124(x102373),f103(x102373)),x102372))+~E(f317(f179(f904(f904(x102373))),x102371),f317(f179(f904(f904(x102373))),x102372))+~P2(f317(f317(f247(f904(x102373),f904(x102373),a898),f317(f317(f9(f904(x102373),f910(f904(x102373),a903),f910(f904(x102373),a898)),f317(f317(f10(f910(a903,a898),f910(f910(f904(x102373),a903),f910(f904(x102373),a898)),f904(x102373)),f10(a903,a898,f904(x102373))),f317(f317(f10(a903,f910(a903,a898),f904(x102373)),a314),f179(f904(x102373))))),f179(f904(x102373)))),f626(x102371,x102372,x102373)))
% 192.07/191.93 [10238]E(x102381,x102382)+~E(f317(f132(f904(x102383),f904(x102383),f124(x102383),f103(x102383)),x102381),f317(f132(f904(x102383),f904(x102383),f124(x102383),f103(x102383)),x102382))+~E(f317(f179(f904(f904(x102383))),x102381),f317(f179(f904(f904(x102383))),x102382))+~P2(f317(f317(f247(f904(x102383),f904(x102383),a898),f317(f317(f9(f904(x102383),f910(f904(x102383),a903),f910(f904(x102383),a898)),f317(f317(f10(f910(a903,a898),f910(f910(f904(x102383),a903),f910(f904(x102383),a898)),f904(x102383)),f10(a903,a898,f904(x102383))),f317(f317(f10(a903,f910(a903,a898),f904(x102383)),a314),f179(f904(x102383))))),f179(f904(x102383)))),f627(x102382,x102381,x102383)))
% 192.07/191.93 [6934]~E(f72(a903),f2(a903))+~P2(f317(f29(x69341),x69343))+~P2(f317(f29(x69341),x69342))+E(f317(f317(f74(a903),f317(f30(x69341),x69342)),f317(f30(x69341),x69343)),f317(f30(x69341),f317(f317(f100(f910(x69341,a898)),x69342),x69343)))
% 192.07/191.93 [7350]~P104(x73501)+~P2(f317(f29(x73501),x73502))+~P2(f317(f317(f319(x73501),x73503),x73502))+P2(f317(f317(f226(x73501),f317(f58(x73501,f91(x73501)),x73502)),x73503))
% 192.07/191.93 [7351]~P108(x73511)+~P2(f317(f29(x73511),x73512))+~P2(f317(f317(f319(x73511),x73513),x73512))+P2(f317(f317(f226(x73511),f317(f58(x73511,f224(x73511)),x73512)),x73513))
% 192.07/191.93 [7603]~P2(f317(f29(x76031),x76033))+~P2(f317(f29(x76031),x76032))+~E(f317(f317(f91(f910(x76031,a898)),x76032),x76033),f178(f910(x76031,a898)))+E(f317(f317(f74(a903),f317(f30(x76031),x76032)),f317(f30(x76031),x76033)),f317(f30(x76031),f317(f317(f100(f910(x76031,a898)),x76032),x76033)))
% 192.07/191.93 [8392]~P37(x83921,x83923)+~P37(x83921,x83922)+~E(f317(f317(f91(f910(x83921,a898)),f317(f254(x83921,x83921),x83922)),f317(f274(x83921,x83921),x83923)),f178(f910(x83921,a898)))+P37(x83921,f317(f317(f100(f910(f909(x83921,x83921),a898)),x83922),x83923))
% 192.07/191.93 [8487]E(x84871,f317(f317(f31(a903),x84872),x84873))+~P2(f317(f317(f227(a903),f2(a903)),x84873))+~P2(f317(f317(f227(a903),x84872),f317(f317(f75(a903),x84873),f317(a102,x84871))))+~P2(f317(f317(f226(a903),f317(f317(f75(a903),x84873),x84871)),x84872))
% 192.07/191.93 [8620]~P2(f317(f29(x86201),x86202))+~P2(f317(f29(x86201),x86203))+E(f317(f317(f74(a903),f317(f30(x86201),x86202)),f317(f30(x86201),x86203)),f317(f30(x86201),f317(f317(f100(f910(x86201,a898)),x86202),x86203)))+P2(f317(f317(f319(x86201),f384(x86203,x86202,x86201)),f317(f317(f91(f910(x86201,a898)),x86202),x86203)))
% 192.07/191.93 [9013]~P126(x90132)+~E(x90131,f2(x90132))+~E(x90133,f2(x90132))+~P2(f317(f317(f227(x90132),f2(x90132)),f317(f317(f74(x90132),f317(f317(f75(x90132),x90133),x90133)),f317(f317(f75(x90132),x90131),x90131))))
% 192.07/191.93 [9542]~P37(x95421,x95423)+~P37(x95421,x95422)+P37(x95421,f317(f317(f100(f910(f909(x95421,x95421),a898)),x95422),x95423))+~P2(f317(f317(f226(f910(f909(x95421,x95421),a898)),f317(f317(f279(x95421,x95421,x95421),x95422),x95423)),x95422))
% 192.07/191.93 [9680]~P2(f317(x96801,x96803))+~P2(f317(f29(x96802),x96803))+P2(f317(x96801,f178(f910(x96802,a898))))+~P2(f317(x96801,f317(f317(f3(f910(x96802,a898)),f434(x96801,x96803,x96802)),f317(f317(f299(x96802),f439(x96801,x96803,x96802)),f178(f910(x96802,a898))))))
% 192.07/191.93 [8796]~P2(f317(f317(f227(a1),f2(a1)),x87963))+P2(f317(f317(f226(a1),f2(a1)),x87961))+~P2(f317(f317(f227(a1),x87962),x87963))+~P2(f317(f317(f226(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x87963),x87961)),x87962)))
% 192.07/191.93 [8820]~P102(x88201)+~P2(f317(f29(x88201),x88202))+E(f317(f317(f3(f910(x88201,a898)),x88202),f317(f317(f299(x88201),x88203),f178(f910(x88201,a898)))),f178(f910(x88201,a898)))+E(f317(f317(f100(x88201),x88203),f12(x88201,f317(f317(f3(f910(x88201,a898)),x88202),f317(f317(f299(x88201),x88203),f178(f910(x88201,a898)))))),f12(x88201,f317(f317(f299(x88201),x88203),x88202)))
% 192.07/191.93 [8821]~P102(x88211)+~P2(f317(f29(x88211),x88212))+E(f317(f317(f3(f910(x88211,a898)),x88212),f317(f317(f299(x88211),x88213),f178(f910(x88211,a898)))),f178(f910(x88211,a898)))+E(f317(f317(f91(x88211),x88213),f13(x88211,f317(f317(f3(f910(x88211,a898)),x88212),f317(f317(f299(x88211),x88213),f178(f910(x88211,a898)))))),f13(x88211,f317(f317(f299(x88211),x88213),x88212)))
% 192.07/191.93 [8822]~P108(x88221)+~P2(f317(f29(x88221),x88222))+E(f317(f317(f3(f910(x88221,a898)),x88222),f317(f317(f299(x88221),x88223),f178(f910(x88221,a898)))),f178(f910(x88221,a898)))+E(f317(f317(f224(x88221),x88223),f16(x88221,f317(f317(f3(f910(x88221,a898)),x88222),f317(f317(f299(x88221),x88223),f178(f910(x88221,a898)))))),f16(x88221,f317(f317(f299(x88221),x88223),x88222)))
% 192.07/191.93 [8823]~P108(x88231)+~P2(f317(f29(x88231),x88232))+E(f317(f317(f3(f910(x88231,a898)),x88232),f317(f317(f299(x88231),x88233),f178(f910(x88231,a898)))),f178(f910(x88231,a898)))+E(f317(f317(f225(x88231),x88233),f17(x88231,f317(f317(f3(f910(x88231,a898)),x88232),f317(f317(f299(x88231),x88233),f178(f910(x88231,a898)))))),f17(x88231,f317(f317(f299(x88231),x88233),x88232)))
% 192.07/191.93 [8895]~P108(x88951)+~P2(f317(f29(x88951),x88952))+E(f317(f317(f3(f910(x88951,a898)),x88952),f317(f317(f299(x88951),x88953),f178(f910(x88951,a898)))),f178(f910(x88951,a898)))+E(f317(f317(f224(x88951),x88953),f14(x88951,f224(x88951),f317(f317(f3(f910(x88951,a898)),x88952),f317(f317(f299(x88951),x88953),f178(f910(x88951,a898)))))),f14(x88951,f224(x88951),f317(f317(f299(x88951),x88953),x88952)))
% 192.07/191.93 [8896]~P108(x88961)+~P2(f317(f29(x88961),x88962))+E(f317(f317(f3(f910(x88961,a898)),x88962),f317(f317(f299(x88961),x88963),f178(f910(x88961,a898)))),f178(f910(x88961,a898)))+E(f317(f317(f225(x88961),x88963),f15(x88961,f225(x88961),f317(f317(f3(f910(x88961,a898)),x88962),f317(f317(f299(x88961),x88963),f178(f910(x88961,a898)))))),f15(x88961,f225(x88961),f317(f317(f299(x88961),x88963),x88962)))
% 192.07/191.93 [9480]E(x94801,x94802)+~E(f317(f132(f904(x94803),f904(x94803),f124(x94803),f103(x94803)),x94801),f317(f132(f904(x94803),f904(x94803),f124(x94803),f103(x94803)),x94802))+~E(f317(f179(f904(f904(x94803))),x94801),f317(f179(f904(f904(x94803))),x94802))+P2(f317(f317(f319(f909(f904(x94803),f904(x94803))),f626(x94801,x94802,x94803)),f317(f162(f909(f904(x94803),f904(x94803))),f317(f317(f171(f904(x94803),f904(x94803)),x94802),x94801))))
% 192.07/191.93 [9481]E(x94811,x94812)+~E(f317(f132(f904(x94813),f904(x94813),f124(x94813),f103(x94813)),x94811),f317(f132(f904(x94813),f904(x94813),f124(x94813),f103(x94813)),x94812))+~E(f317(f179(f904(f904(x94813))),x94811),f317(f179(f904(f904(x94813))),x94812))+P2(f317(f317(f319(f909(f904(x94813),f904(x94813))),f627(x94812,x94811,x94813)),f317(f162(f909(f904(x94813),f904(x94813))),f317(f317(f171(f904(x94813),f904(x94813)),x94811),x94812))))
% 192.07/191.93 [10346]~P78(x103462)+E(x103461,f178(f910(x103462,a898)))+~P2(f317(f29(x103462),x103461))+E(f16(x103462,f317(f252(x103462),f317(f317(f10(f910(x103462,a898),a898,x103462),f81(x103462)),f317(f317(f9(x103462,f910(x103462,a898),f910(x103462,a898)),f317(f317(f10(f910(x103462,f910(a898,a898)),f910(f910(x103462,a898),f910(x103462,a898)),x103462),f20(x103462,a898,a898)),f317(f317(f10(f910(x103462,a898),f910(x103462,f910(a898,a898)),x103462),f317(f10(a898,f910(a898,a898),x103462),a315)),f317(f317(f9(x103462,f910(x103462,x103462),f910(x103462,a898)),f317(f317(f10(f910(x103462,a898),f910(f910(x103462,x103462),f910(x103462,a898)),x103462),f10(x103462,a898,x103462)),a314)),f317(f74(x103462),x103463))))),f317(f317(f9(x103462,f910(x103462,a898),a898),f319(x103462)),x103461))))),f317(f317(f74(x103462),x103463),f16(x103462,x103461)))
% 192.07/191.93 [10347]~P78(x103472)+E(x103471,f178(f910(x103472,a898)))+~P2(f317(f29(x103472),x103471))+E(f17(x103472,f317(f252(x103472),f317(f317(f10(f910(x103472,a898),a898,x103472),f81(x103472)),f317(f317(f9(x103472,f910(x103472,a898),f910(x103472,a898)),f317(f317(f10(f910(x103472,f910(a898,a898)),f910(f910(x103472,a898),f910(x103472,a898)),x103472),f20(x103472,a898,a898)),f317(f317(f10(f910(x103472,a898),f910(x103472,f910(a898,a898)),x103472),f317(f10(a898,f910(a898,a898),x103472),a315)),f317(f317(f9(x103472,f910(x103472,x103472),f910(x103472,a898)),f317(f317(f10(f910(x103472,a898),f910(f910(x103472,x103472),f910(x103472,a898)),x103472),f10(x103472,a898,x103472)),a314)),f317(f74(x103472),x103473))))),f317(f317(f9(x103472,f910(x103472,a898),a898),f319(x103472)),x103471))))),f317(f317(f74(x103472),x103473),f17(x103472,x103471)))
% 192.07/191.93 [10348]~P103(x103482)+E(x103481,f178(f910(x103482,a898)))+~P2(f317(f29(x103482),x103481))+E(f13(x103482,f317(f252(x103482),f317(f317(f10(f910(x103482,a898),a898,x103482),f81(x103482)),f317(f317(f9(x103482,f910(x103482,a898),f910(x103482,a898)),f317(f317(f10(f910(x103482,f910(a898,a898)),f910(f910(x103482,a898),f910(x103482,a898)),x103482),f20(x103482,a898,a898)),f317(f317(f10(f910(x103482,a898),f910(x103482,f910(a898,a898)),x103482),f317(f10(a898,f910(a898,a898),x103482),a315)),f317(f317(f9(x103482,f910(x103482,x103482),f910(x103482,a898)),f317(f317(f10(f910(x103482,a898),f910(f910(x103482,x103482),f910(x103482,a898)),x103482),f10(x103482,a898,x103482)),a314)),f317(f100(x103482),x103483))))),f317(f317(f9(x103482,f910(x103482,a898),a898),f319(x103482)),x103481))))),f317(f317(f100(x103482),x103483),f13(x103482,x103481)))
% 192.07/191.93 [10349]~P103(x103492)+E(x103491,f178(f910(x103492,a898)))+~P2(f317(f29(x103492),x103491))+E(f12(x103492,f317(f252(x103492),f317(f317(f10(f910(x103492,a898),a898,x103492),f81(x103492)),f317(f317(f9(x103492,f910(x103492,a898),f910(x103492,a898)),f317(f317(f10(f910(x103492,f910(a898,a898)),f910(f910(x103492,a898),f910(x103492,a898)),x103492),f20(x103492,a898,a898)),f317(f317(f10(f910(x103492,a898),f910(x103492,f910(a898,a898)),x103492),f317(f10(a898,f910(a898,a898),x103492),a315)),f317(f317(f9(x103492,f910(x103492,x103492),f910(x103492,a898)),f317(f317(f10(f910(x103492,a898),f910(f910(x103492,x103492),f910(x103492,a898)),x103492),f10(x103492,a898,x103492)),a314)),f317(f91(x103492),x103493))))),f317(f317(f9(x103492,f910(x103492,a898),a898),f319(x103492)),x103491))))),f317(f317(f91(x103492),x103493),f12(x103492,x103491)))
% 192.07/191.93 [10350]~P108(x103502)+E(x103501,f178(f910(x103502,a898)))+~P2(f317(f29(x103502),x103501))+E(f15(x103502,f225(x103502),f317(f252(x103502),f317(f317(f10(f910(x103502,a898),a898,x103502),f81(x103502)),f317(f317(f9(x103502,f910(x103502,a898),f910(x103502,a898)),f317(f317(f10(f910(x103502,f910(a898,a898)),f910(f910(x103502,a898),f910(x103502,a898)),x103502),f20(x103502,a898,a898)),f317(f317(f10(f910(x103502,a898),f910(x103502,f910(a898,a898)),x103502),f317(f10(a898,f910(a898,a898),x103502),a315)),f317(f317(f9(x103502,f910(x103502,x103502),f910(x103502,a898)),f317(f317(f10(f910(x103502,a898),f910(f910(x103502,x103502),f910(x103502,a898)),x103502),f10(x103502,a898,x103502)),a314)),f317(f224(x103502),x103503))))),f317(f317(f9(x103502,f910(x103502,a898),a898),f319(x103502)),x103501))))),f317(f317(f224(x103502),x103503),f15(x103502,f225(x103502),x103501)))
% 192.07/191.93 [10351]~P108(x103512)+E(x103511,f178(f910(x103512,a898)))+~P2(f317(f29(x103512),x103511))+E(f14(x103512,f224(x103512),f317(f252(x103512),f317(f317(f10(f910(x103512,a898),a898,x103512),f81(x103512)),f317(f317(f9(x103512,f910(x103512,a898),f910(x103512,a898)),f317(f317(f10(f910(x103512,f910(a898,a898)),f910(f910(x103512,a898),f910(x103512,a898)),x103512),f20(x103512,a898,a898)),f317(f317(f10(f910(x103512,a898),f910(x103512,f910(a898,a898)),x103512),f317(f10(a898,f910(a898,a898),x103512),a315)),f317(f317(f9(x103512,f910(x103512,x103512),f910(x103512,a898)),f317(f317(f10(f910(x103512,a898),f910(f910(x103512,x103512),f910(x103512,a898)),x103512),f10(x103512,a898,x103512)),a314)),f317(f225(x103512),x103513))))),f317(f317(f9(x103512,f910(x103512,a898),a898),f319(x103512)),x103511))))),f317(f317(f225(x103512),x103513),f14(x103512,f224(x103512),x103511)))
% 192.07/191.93 [10065]~P117(x100651)+~E(x100653,f2(x100651))+~E(x100652,f2(x100651))+E(f317(f317(f74(x100651),f317(f317(f234(x100651),x100652),f317(f93(a903),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(x100651),x100653),f317(f93(a903),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(x100651))
% 192.07/191.93 [10218]~P110(x102181)+~P2(f317(f317(f226(x102181),f2(x102181)),x102183))+P2(f317(f317(f226(x102181),x102182),x102183))+~P2(f317(f317(f226(x102181),f317(f317(f234(x102181),x102182),f317(f93(a903),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(x102181),x102183),f317(f93(a903),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))))))
% 192.07/191.93 [10275]~P117(x102752)+~E(x102751,f2(x102752))+~E(x102753,f2(x102752))+~P2(f317(f317(f227(x102752),f2(x102752)),f317(f317(f74(x102752),f317(f317(f234(x102752),x102753),f317(f93(a903),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(x102752),x102751),f317(f93(a903),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)))))))
% 192.07/191.93 [6812]~P8(x68123,x68122)+~P2(f317(x68121,x68124))+~P2(f317(f317(f319(x68123),x68124),f260(x68123,x68122)))+P2(f317(x68121,f811(x68121,x68122,x68123)))
% 192.07/191.93 [8731]P26(x87311,x87312,f809(x87313,x87312,x87314,x87311),x87314,x87313)+~E(f317(f30(x87311),x87314),f317(f30(x87312),x87313))+~P2(f317(f29(x87312),x87313))+~P2(f317(f29(x87311),x87314))
% 192.07/191.93 [9443]E(x94431,x94432)+~E(f601(x94431,x94432,x94434,x94433),f603(x94431,x94432,x94434,x94433))+P2(f317(f317(f319(f909(f904(x94433),f904(x94433))),f317(f317(f242(f904(x94433),f904(x94433)),x94432),x94431)),f137(x94433,x94434)))+P2(f317(f317(f319(f909(f904(x94433),f904(x94433))),f317(f317(f242(f904(x94433),f904(x94433)),x94431),x94432)),f137(x94433,x94434)))
% 192.07/191.93 [4921]~P61(x49212)+~E(x49214,f2(x49212))+~E(x49211,f2(x49212))+E(x49211,f317(f317(f281(x49212),x49213),x49214))
% 192.07/191.93 [4922]~P61(x49221)+~E(x49223,f2(x49221))+~E(x49224,f2(x49221))+E(f317(f317(f281(x49221),x49222),x49223),x49224)
% 192.07/191.93 [5043]~P61(x50432)+E(x50431,f2(x50432))+~E(x50433,f2(x50432))+~E(x50431,f317(f317(f281(x50432),x50434),x50433))
% 192.07/191.93 [5044]~P61(x50442)+E(x50441,f2(x50442))+~E(x50443,f2(x50442))+~E(f317(f317(f281(x50442),x50444),x50443),x50441)
% 192.07/191.93 [5227]~P122(x52272)+E(x52271,f2(x52272))+~E(f317(f317(f281(x52272),x52273),x52271),x52274)+E(x52273,f317(f317(f75(x52272),x52274),x52271))
% 192.07/191.93 [5229]~P122(x52292)+E(x52291,f2(x52292))+~E(f317(f317(f75(x52292),x52293),x52291),x52294)+E(x52293,f317(f317(f281(x52292),x52294),x52291))
% 192.07/191.93 [5230]~P61(x52302)+E(x52301,f2(x52302))+~E(f317(f317(f281(x52302),x52303),x52301),x52304)+E(x52303,f317(f317(f75(x52302),x52304),x52301))
% 192.07/191.93 [5231]~P61(x52312)+E(x52311,f2(x52312))+~E(f317(f317(f75(x52312),x52313),x52311),x52314)+E(x52313,f317(f317(f281(x52312),x52314),x52311))
% 192.07/191.93 [5232]~P122(x52322)+E(x52321,f2(x52322))+~E(x52323,f317(f317(f281(x52322),x52324),x52321))+E(f317(f317(f75(x52322),x52323),x52321),x52324)
% 192.07/191.93 [5234]~P122(x52342)+E(x52341,f2(x52342))+~E(x52343,f317(f317(f75(x52342),x52344),x52341))+E(f317(f317(f281(x52342),x52343),x52341),x52344)
% 192.07/191.93 [5235]~P61(x52352)+E(x52351,f2(x52352))+~E(x52353,f317(f317(f281(x52352),x52354),x52351))+E(f317(f317(f75(x52352),x52353),x52351),x52354)
% 192.07/191.93 [5236]~P61(x52362)+E(x52361,f2(x52362))+~E(x52363,f317(f317(f75(x52362),x52364),x52361))+E(f317(f317(f281(x52362),x52363),x52361),x52364)
% 192.07/191.93 [5260]~P61(x52602)+~E(x52601,f2(x52602))+~E(f317(f317(f75(x52602),x52601),x52604),x52603)+E(x52601,f317(f317(f281(x52602),x52603),x52604))
% 192.07/191.93 [5261]~P61(x52611)+~E(x52614,f2(x52611))+~E(x52612,f317(f317(f75(x52611),x52614),x52613))+E(f317(f317(f281(x52611),x52612),x52613),x52614)
% 192.07/191.93 [5335]~E(x53353,x53354)+~E(x53352,x53353)+~P109(x53351)+E(f293(x53351,x53352,x53353),f317(f317(f299(x53351),x53354),f178(f910(x53351,a898))))
% 192.07/191.93 [5541]~E(f134(x55412,x55411),x55414)+~E(f104(x55412,x55411),x55413)+E(x55411,f103(x55412))+E(f317(f317(f124(x55412),x55413),f317(f317(f141(x55412),x55414),f103(x55412))),x55411)
% 192.07/191.93 [6185]~P110(x61853)+E(x61851,x61852)+~E(f317(f317(f234(x61853),x61854),x61851),f317(f317(f234(x61853),x61854),x61852))+~P2(f317(f317(f227(x61853),f72(x61853)),x61854))
% 192.07/191.93 [6186]E(x61861,x61862)+~E(f317(f317(f299(x61863),x61864),x61861),f317(f317(f299(x61863),x61864),x61862))+P2(f317(f317(f319(x61863),x61864),x61862))+P2(f317(f317(f319(x61863),x61864),x61861))
% 192.07/191.93 [6229]E(f317(x62291,x62292),f72(a903))+~E(f317(f317(f11(x62293,a903),x62291),x62294),f72(a903))+~P2(f317(f29(x62293),x62294))+~P2(f317(f317(f319(x62293),x62292),x62294))
% 192.07/191.93 [6230]E(f317(x62301,x62302),f2(a903))+~E(f317(f317(f8(x62303,a903),x62301),x62304),f2(a903))+~P2(f317(f29(x62303),x62304))+~P2(f317(f317(f319(x62303),x62302),x62304))
% 192.07/191.93 [6457]~P109(x64571)+~P2(f317(f317(f226(x64571),x64574),x64573))+P2(f317(f317(f226(x64571),x64572),x64573))+~P2(f317(f317(f226(x64571),x64572),x64574))
% 192.07/191.93 [6458]~P65(x64581)+~P2(f317(f317(f226(x64581),x64582),x64584))+P2(f317(f317(f226(x64581),x64582),x64583))+~P2(f317(f317(f226(x64581),x64584),x64583))
% 192.07/191.93 [6459]~P109(x64591)+~P2(f317(f317(f227(x64591),x64594),x64593))+P2(f317(f317(f227(x64591),x64592),x64593))+~P2(f317(f317(f226(x64591),x64592),x64594))
% 192.07/191.93 [6460]~P109(x64601)+~P2(f317(f317(f227(x64601),x64602),x64604))+P2(f317(f317(f227(x64601),x64602),x64603))+~P2(f317(f317(f226(x64601),x64604),x64603))
% 192.07/191.93 [6461]~P109(x64611)+~P2(f317(f317(f227(x64611),x64614),x64613))+P2(f317(f317(f227(x64611),x64612),x64613))+~P2(f317(f317(f227(x64611),x64612),x64614))
% 192.07/191.93 [6462]~P65(x64621)+~P2(f317(f317(f227(x64621),x64622),x64624))+P2(f317(f317(f227(x64621),x64622),x64623))+~P2(f317(f317(f226(x64621),x64624),x64623))
% 192.07/191.93 [6463]~P65(x64631)+~P2(f317(f317(f227(x64631),x64634),x64633))+P2(f317(f317(f227(x64631),x64632),x64633))+~P2(f317(f317(f226(x64631),x64632),x64634))
% 192.07/191.93 [6464]~P65(x64641)+~P2(f317(f317(f227(x64641),x64642),x64644))+P2(f317(f317(f227(x64641),x64642),x64643))+~P2(f317(f317(f227(x64641),x64644),x64643))
% 192.07/191.93 [6465]~P118(x64651)+~P2(f317(f317(f277(x64651),x64652),x64654))+P2(f317(f317(f277(x64651),x64652),x64653))+~P2(f317(f317(f277(x64651),x64654),x64653))
% 192.07/191.93 [6547]~P35(x65474,x65473,x65472)+E(x65471,f746(x65472,x65473,x65474))+~P2(f317(x65473,x65471))+~P2(f317(f317(f319(x65474),x65471),f317(f162(x65474),x65472)))
% 192.07/191.93 [6548]~P35(x65484,x65483,x65482)+E(x65481,f751(x65482,x65483,x65484))+~P2(f317(x65483,x65481))+~P2(f317(f317(f319(x65484),x65481),f317(f162(x65484),x65482)))
% 192.07/191.93 [6702]~P6(x67021)+~P2(f317(f317(f226(x67021),x67022),f33(x67021,x67024)))+P2(f317(f317(f226(x67021),x67022),x67023))+~P2(f317(f317(f319(x67021),x67023),x67024))
% 192.07/191.93 [6854]~P108(x68541)+~P14(x68541,f317(f317(f141(x68541),x68542),x68544))+~P2(f317(f317(f319(x68541),x68543),f317(f162(x68541),x68544)))+P2(f317(f317(f226(x68541),x68542),x68543))
% 192.07/191.93 [6944]~P6(x69441)+~P2(f317(f317(f226(x69441),f32(x69441,x69444)),x69443))+P2(f317(f317(f226(x69441),x69442),x69443))+~P2(f317(f317(f319(x69441),x69442),x69444))
% 192.07/191.93 [7089]~P4(x70891)+P2(f317(f317(f277(x70891),x70892),f41(x70891,x70893,x70894)))+~P2(f317(f317(f277(x70891),x70892),x70894))+~P2(f317(f317(f277(x70891),x70892),x70893))
% 192.07/191.93 [7353]~P108(x73531)+E(f317(f317(f100(f910(x73531,a898)),f317(f292(x73531,x73532),x73533)),f317(f292(x73531,x73533),x73534)),f317(f292(x73531,x73532),x73534))+~P2(f317(f317(f226(x73531),x73533),x73534))+~P2(f317(f317(f226(x73531),x73532),x73533))
% 192.07/191.93 [7397]P35(x73971,x73972,x73973)+~E(f752(x73973,x73972,x73971,x73974),x73974)+~P2(f317(x73972,x73974))+~P2(f317(f317(f319(x73971),x73974),f317(f162(x73971),x73973)))
% 192.07/191.93 [7398]P35(x73981,x73982,x73983)+~E(f761(x73983,x73982,x73981,x73984),x73984)+~P2(f317(x73982,x73984))+~P2(f317(f317(f319(x73981),x73984),f317(f162(x73981),x73983)))
% 192.07/191.93 [7441]~P4(x74411)+~P2(f317(f317(f277(x74411),x74412),f41(x74411,x74413,x74414)))+P2(f317(f317(f277(x74411),x74412),x74413))+~P2(f317(f317(f277(x74411),x74412),x74414))
% 192.07/191.93 [7475]~P108(x74751)+E(f317(f317(f100(f910(x74751,a898)),f317(f292(x74751,x74752),x74753)),f293(x74751,x74753,x74754)),f293(x74751,x74752,x74754))+~P2(f317(f317(f226(x74751),x74753),x74754))+~P2(f317(f317(f226(x74751),x74752),x74753))
% 192.07/191.93 [7537]~P108(x75371)+E(f317(f317(f100(f910(x75371,a898)),f296(x75371,x75372,x75373)),f317(f292(x75371,x75373),x75374)),f296(x75371,x75372,x75374))+~P2(f317(f317(f226(x75371),x75373),x75374))+~P2(f317(f317(f227(x75371),x75372),x75373))
% 192.07/191.93 [7554]~P108(x75541)+E(f317(f317(f100(f910(x75541,a898)),f293(x75541,x75542,x75543)),f296(x75541,x75543,x75544)),f317(f292(x75541,x75542),x75544))+~P2(f317(f317(f226(x75541),x75542),x75543))+~P2(f317(f317(f227(x75541),x75543),x75544))
% 192.07/191.93 [7584]~P108(x75841)+E(f317(f317(f100(f910(x75841,a898)),f296(x75841,x75842,x75843)),f293(x75841,x75843,x75844)),f295(x75841,x75842,x75844))+~P2(f317(f317(f226(x75841),x75843),x75844))+~P2(f317(f317(f227(x75841),x75842),x75843))
% 192.07/191.93 [7585]~P108(x75851)+E(f317(f317(f100(f910(x75851,a898)),f293(x75851,x75852,x75853)),f295(x75851,x75853,x75854)),f293(x75851,x75852,x75854))+~P2(f317(f317(f226(x75851),x75853),x75854))+~P2(f317(f317(f226(x75851),x75852),x75853))
% 192.07/191.93 [7586]~P108(x75861)+E(f317(f317(f100(f910(x75861,a898)),f295(x75861,x75862,x75863)),f296(x75861,x75863,x75864)),f296(x75861,x75862,x75864))+~P2(f317(f317(f226(x75861),x75862),x75863))+~P2(f317(f317(f227(x75861),x75863),x75864))
% 192.07/191.93 [7587]~P108(x75871)+E(f317(f317(f100(f910(x75871,a898)),f295(x75871,x75872,x75873)),f295(x75871,x75873,x75874)),f295(x75871,x75872,x75874))+~P2(f317(f317(f226(x75871),x75873),x75874))+~P2(f317(f317(f226(x75871),x75872),x75873))
% 192.07/191.93 [8376]P25(x83761,x83762,f598(x83763,x83762,x83764,x83761),x83764)+~P2(f317(f29(x83762),x83763))+~P2(f317(f29(x83761),x83764))+~P2(f317(f317(f226(a903),f317(f30(x83761),x83764)),f317(f30(x83762),x83763)))
% 192.07/191.93 [8397]P35(x83971,x83972,x83973)+~P2(f317(x83972,x83974))+P2(f317(x83972,f752(x83973,x83972,x83971,x83974)))+~P2(f317(f317(f319(x83971),x83974),f317(f162(x83971),x83973)))
% 192.07/191.93 [8398]P35(x83981,x83982,x83983)+~P2(f317(x83982,x83984))+P2(f317(x83982,f761(x83983,x83982,x83981,x83984)))+~P2(f317(f317(f319(x83981),x83984),f317(f162(x83981),x83983)))
% 192.07/191.93 [8452]~P71(x84521)+~E(f317(x84523,f755(x84523,x84524,x84522,x84521)),f72(x84521))+E(f317(f317(f317(f60(x84521,x84522,f75(x84521)),x84523),f72(x84521)),x84524),f72(x84521))+~P2(f317(f29(x84522),x84524))
% 192.07/191.93 [8720]~P110(x87201)+~P2(f317(f317(f226(x87201),f2(x87201)),x87203))+P2(f317(f317(f226(x87201),x87202),x87203))+~P2(f317(f317(f226(x87201),f317(f317(f234(x87201),x87202),f317(a102,x87204))),f317(f317(f234(x87201),x87203),f317(a102,x87204))))
% 192.07/191.93 [9038]P35(x90381,x90382,x90383)+~P2(f317(x90382,x90384))+~P2(f317(f317(f319(x90381),x90384),f317(f162(x90381),x90383)))+P2(f317(f317(f319(x90381),f752(x90383,x90382,x90381,x90384)),f317(f162(x90381),x90383)))
% 192.07/191.93 [9039]P35(x90391,x90392,x90393)+~P2(f317(x90392,x90394))+~P2(f317(f317(f319(x90391),x90394),f317(f162(x90391),x90393)))+P2(f317(f317(f319(x90391),f761(x90393,x90392,x90391,x90394)),f317(f162(x90391),x90393)))
% 192.07/191.93 [9115]~P71(x91151)+E(f317(f317(f317(f60(x91151,x91152,f75(x91151)),x91153),f72(x91151)),x91154),f72(x91151))+~P2(f317(f29(x91152),x91154))+P2(f317(f317(f319(x91152),f755(x91153,x91154,x91152,x91151)),x91154))
% 192.07/191.93 [9617]~P2(f317(f317(f277(a903),x96171),x96173))+~P2(f317(f317(f277(a903),x96171),x96172))+~P2(f317(f317(f277(a903),x96174),x96173))+~P2(f317(f317(f227(f910(a903,a898)),f280(a903,f277(a903),x96171,x96173)),f280(a903,f277(a903),x96172,x96174)))
% 192.07/191.93 [9622]~P2(f317(f317(f226(a1),x96224),f2(a1)))+P2(f317(f317(f226(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96221),f41(a1,x96222,x96223))),x96224)),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x96223))+~P2(f317(f317(f227(a1),x96221),x96224))
% 192.07/191.93 [10058]~P2(f317(f29(x100581),x100582))+~P2(f317(f317(f319(x100581),x100584),x100582))+~P2(f317(f317(f319(x100581),x100583),x100582))+P2(f317(f317(f227(a903),f317(f30(x100581),f317(f317(f3(f910(x100581,a898)),f317(f317(f3(f910(x100581,a898)),x100582),f317(f317(f299(x100581),x100583),f178(f910(x100581,a898))))),f317(f317(f299(x100581),x100584),f178(f910(x100581,a898)))))),f317(f30(x100581),x100582)))
% 192.07/191.93 [7002]~P146(x70023)+~P121(x70023)+P2(f317(x70021,f844(x70022,x70021,x70023)))+~P2(f317(x70021,f317(f317(f75(x70023),x70022),x70024)))
% 192.07/191.93 [7061]~P104(x70611)+~P2(f317(f317(f226(x70611),x70612),x70614))+~P2(f317(f317(f226(x70611),x70612),x70613))+P2(f317(f317(f226(x70611),x70612),f317(f317(f91(x70611),x70613),x70614)))
% 192.07/191.93 [7064]~P108(x70641)+~P2(f317(f317(f226(x70641),x70642),x70644))+~P2(f317(f317(f226(x70641),x70642),x70643))+P2(f317(f317(f226(x70641),x70642),f317(f317(f224(x70641),x70643),x70644)))
% 192.07/191.93 [7065]~P108(x70651)+~P2(f317(f317(f227(x70651),x70652),x70654))+~P2(f317(f317(f227(x70651),x70652),x70653))+P2(f317(f317(f227(x70651),x70652),f317(f317(f224(x70651),x70653),x70654)))
% 192.07/191.93 [7066]~P112(x70661)+~P2(f317(f317(f277(x70661),x70662),x70664))+~P2(f317(f317(f277(x70661),x70662),x70663))+P2(f317(f317(f277(x70661),x70662),f317(f317(f3(x70661),x70663),x70664)))
% 192.07/191.93 [7067]~P118(x70671)+~P2(f317(f317(f277(x70671),x70672),x70674))+~P2(f317(f317(f277(x70671),x70672),x70673))+P2(f317(f317(f277(x70671),x70672),f317(f317(f74(x70671),x70673),x70674)))
% 192.07/191.93 [7087]~P62(x70872)+E(x70871,f2(x70872))+E(f317(f317(f281(x70872),f317(f317(f234(x70872),x70871),x70873)),f317(f317(f234(x70872),x70871),x70874)),f317(f317(f234(x70872),x70871),f317(f317(f3(a903),x70873),x70874)))+~P2(f317(f317(f226(a903),x70874),x70873))
% 192.07/191.93 [7133]~P108(x71331)+~P14(x71331,f317(f317(f141(x71331),x71333),x71334))+P14(x71331,f317(f317(f141(x71331),x71332),f317(f317(f141(x71331),x71333),x71334)))+~P2(f317(f317(f226(x71331),x71332),x71333))
% 192.07/191.93 [7169]~P88(x71691)+~P2(f317(f317(f226(x71691),f2(x71691)),x71694))+~P2(f317(f317(f226(x71691),x71692),x71693))+P2(f317(f317(f226(x71691),x71692),f317(f317(f74(x71691),x71693),x71694)))
% 192.07/191.93 [7170]~P88(x71701)+~P2(f317(f317(f226(x71701),f2(x71701)),x71703))+~P2(f317(f317(f226(x71701),x71702),x71704))+P2(f317(f317(f226(x71701),x71702),f317(f317(f74(x71701),x71703),x71704)))
% 192.07/191.93 [7171]~P110(x71711)+~P2(f317(f317(f227(x71711),f2(x71711)),x71713))+~P2(f317(f317(f227(x71711),x71712),x71714))+P2(f317(f317(f227(x71711),x71712),f317(f317(f74(x71711),x71713),x71714)))
% 192.07/191.93 [7172]~P88(x71721)+~P2(f317(f317(f226(x71721),x71722),x71724))+~P2(f317(f317(f227(x71721),f2(x71721)),x71723))+P2(f317(f317(f227(x71721),x71722),f317(f317(f74(x71721),x71723),x71724)))
% 192.07/191.93 [7173]~P88(x71731)+~P2(f317(f317(f226(x71731),f2(x71731)),x71733))+~P2(f317(f317(f227(x71731),x71732),x71734))+P2(f317(f317(f227(x71731),x71732),f317(f317(f74(x71731),x71733),x71734)))
% 192.07/191.93 [7214]~P108(x72141)+P2(f317(f317(f226(x72141),x72142),x72143))+P2(f317(f317(f226(x72141),x72142),x72144))+~P2(f317(f317(f226(x72141),x72142),f317(f317(f225(x72141),x72144),x72143)))
% 192.07/191.93 [7215]~P108(x72151)+P2(f317(f317(f227(x72151),x72152),x72153))+P2(f317(f317(f227(x72151),x72152),x72154))+~P2(f317(f317(f227(x72151),x72152),f317(f317(f225(x72151),x72154),x72153)))
% 192.07/191.93 [7509]~P109(x75092)+~P60(x75091)+~P2(f317(f317(f227(f910(x75091,x75092)),x75093),x75094))+P2(f317(f317(f226(f910(x75091,x75092)),x75093),x75094))
% 192.07/191.93 [7874]~P64(x78741)+~P2(f317(f317(f227(x78741),x78744),f2(x78741)))+~P2(f317(f317(f226(x78741),x78743),f317(f317(f281(x78741),x78742),x78744)))+P2(f317(f317(f226(x78741),x78742),f317(f317(f75(x78741),x78743),x78744)))
% 192.07/191.93 [7875]~P64(x78751)+~P2(f317(f317(f227(x78751),x78754),f2(x78751)))+~P2(f317(f317(f226(x78751),x78753),f317(f317(f75(x78751),x78752),x78754)))+P2(f317(f317(f226(x78751),x78752),f317(f317(f281(x78751),x78753),x78754)))
% 192.07/191.93 [7876]~P64(x78761)+~P2(f317(f317(f227(x78761),x78764),f2(x78761)))+~P2(f317(f317(f227(x78761),x78763),f317(f317(f281(x78761),x78762),x78764)))+P2(f317(f317(f227(x78761),x78762),f317(f317(f75(x78761),x78763),x78764)))
% 192.07/191.93 [7877]~P64(x78771)+~P2(f317(f317(f227(x78771),x78774),f2(x78771)))+~P2(f317(f317(f227(x78771),x78773),f317(f317(f75(x78771),x78772),x78774)))+P2(f317(f317(f227(x78771),x78772),f317(f317(f281(x78771),x78773),x78774)))
% 192.07/191.93 [7984]~P129(x79841)+~P2(f317(f317(f226(x79841),x79842),f2(x79841)))+~P2(f317(f317(f226(x79841),x79844),x79843))+P2(f317(f317(f226(x79841),f317(f317(f75(x79841),x79842),x79843)),f317(f317(f75(x79841),x79842),x79844)))
% 192.07/191.93 [7985]~P126(x79851)+~P2(f317(f317(f227(x79851),x79852),f2(x79851)))+~P2(f317(f317(f226(x79851),x79854),x79853))+P2(f317(f317(f226(x79851),f317(f317(f75(x79851),x79852),x79853)),f317(f317(f75(x79851),x79852),x79854)))
% 192.07/191.93 [7986]~P129(x79861)+~P2(f317(f317(f226(x79861),x79863),f2(x79861)))+~P2(f317(f317(f226(x79861),x79864),x79862))+P2(f317(f317(f226(x79861),f317(f317(f75(x79861),x79862),x79863)),f317(f317(f75(x79861),x79864),x79863)))
% 192.07/191.93 [7987]~P63(x79871)+~P2(f317(f317(f226(x79871),x79873),f2(x79871)))+~P2(f317(f317(f226(x79871),x79874),x79872))+P2(f317(f317(f226(x79871),f317(f317(f281(x79871),x79872),x79873)),f317(f317(f281(x79871),x79874),x79873)))
% 192.07/191.93 [7991]~P126(x79911)+~P2(f317(f317(f227(x79911),x79913),f2(x79911)))+~P2(f317(f317(f227(x79911),x79914),x79912))+P2(f317(f317(f227(x79911),f317(f317(f75(x79911),x79912),x79913)),f317(f317(f75(x79911),x79914),x79913)))
% 192.07/191.93 [7992]~P126(x79921)+~P2(f317(f317(f227(x79921),x79922),f2(x79921)))+~P2(f317(f317(f227(x79921),x79924),x79923))+P2(f317(f317(f227(x79921),f317(f317(f75(x79921),x79922),x79923)),f317(f317(f75(x79921),x79922),x79924)))
% 192.07/191.93 [7993]~P64(x79931)+~P2(f317(f317(f227(x79931),x79933),f2(x79931)))+~P2(f317(f317(f227(x79931),x79934),x79932))+P2(f317(f317(f227(x79931),f317(f317(f281(x79931),x79932),x79933)),f317(f317(f281(x79931),x79934),x79933)))
% 192.07/191.93 [7994]~P110(x79941)+~P2(f317(f317(f227(x79941),f72(x79941)),x79942))+~P2(f317(f317(f226(a903),x79943),x79944))+P2(f317(f317(f226(x79941),f317(f317(f234(x79941),x79942),x79943)),f317(f317(f234(x79941),x79942),x79944)))
% 192.07/191.93 [7995]~P110(x79951)+~P2(f317(f317(f226(x79951),f72(x79951)),x79952))+~P2(f317(f317(f226(a903),x79953),x79954))+P2(f317(f317(f226(x79951),f317(f317(f234(x79951),x79952),x79953)),f317(f317(f234(x79951),x79952),x79954)))
% 192.07/191.93 [7997]~P110(x79971)+~P2(f317(f317(f227(x79971),f72(x79971)),x79972))+~P2(f317(f317(f227(a903),x79973),x79974))+P2(f317(f317(f227(x79971),f317(f317(f234(x79971),x79972),x79973)),f317(f317(f234(x79971),x79972),x79974)))
% 192.07/191.93 [8024]P2(f317(f317(f227(a903),f2(a903)),f317(x80241,x80242)))+~P2(f317(f29(x80243),x80244))+~P2(f317(f317(f319(x80243),x80242),x80244))+~P2(f317(f317(f227(a903),f2(a903)),f317(f317(f11(x80243,a903),x80241),x80244)))
% 192.07/191.93 [8033]~P126(x80331)+~P2(f317(f317(f227(x80331),f2(x80331)),x80332))+~P2(f317(f317(f226(x80331),x80333),x80334))+P2(f317(f317(f226(x80331),f317(f317(f75(x80331),x80332),x80333)),f317(f317(f75(x80331),x80332),x80334)))
% 192.07/191.93 [8034]~P138(x80341)+~P2(f317(f317(f226(x80341),x80343),x80344))+~P2(f317(f317(f226(x80341),f2(x80341)),x80342))+P2(f317(f317(f226(x80341),f317(f317(f75(x80341),x80342),x80343)),f317(f317(f75(x80341),x80342),x80344)))
% 192.07/191.93 [8035]~P137(x80351)+~P2(f317(f317(f226(x80351),x80353),x80354))+~P2(f317(f317(f226(x80351),f2(x80351)),x80352))+P2(f317(f317(f226(x80351),f317(f317(f75(x80351),x80352),x80353)),f317(f317(f75(x80351),x80352),x80354)))
% 192.07/191.93 [8036]~P138(x80361)+~P2(f317(f317(f226(x80361),x80362),x80364))+~P2(f317(f317(f226(x80361),f2(x80361)),x80363))+P2(f317(f317(f226(x80361),f317(f317(f75(x80361),x80362),x80363)),f317(f317(f75(x80361),x80364),x80363)))
% 192.07/191.93 [8037]~P63(x80371)+~P2(f317(f317(f226(x80371),x80372),x80374))+~P2(f317(f317(f226(x80371),f2(x80371)),x80373))+P2(f317(f317(f226(x80371),f317(f317(f281(x80371),x80372),x80373)),f317(f317(f281(x80371),x80374),x80373)))
% 192.07/191.93 [8038]~P110(x80381)+~P2(f317(f317(f226(x80381),x80382),x80384))+~P2(f317(f317(f226(x80381),f2(x80381)),x80382))+P2(f317(f317(f226(x80381),f317(f317(f234(x80381),x80382),x80383)),f317(f317(f234(x80381),x80384),x80383)))
% 192.07/191.93 [8040]~P119(x80401)+~P2(f317(f317(f227(x80401),x80403),x80404))+~P2(f317(f317(f227(x80401),f2(x80401)),x80402))+P2(f317(f317(f227(x80401),f317(f317(f75(x80401),x80402),x80403)),f317(f317(f75(x80401),x80402),x80404)))
% 192.07/191.93 [8041]~P134(x80411)+~P2(f317(f317(f227(x80411),x80413),x80414))+~P2(f317(f317(f227(x80411),f2(x80411)),x80412))+P2(f317(f317(f227(x80411),f317(f317(f75(x80411),x80412),x80413)),f317(f317(f75(x80411),x80412),x80414)))
% 192.07/191.93 [8042]~P126(x80421)+~P2(f317(f317(f227(x80421),x80422),x80424))+~P2(f317(f317(f227(x80421),f2(x80421)),x80423))+P2(f317(f317(f227(x80421),f317(f317(f75(x80421),x80422),x80423)),f317(f317(f75(x80421),x80424),x80423)))
% 192.07/191.93 [8043]~P134(x80431)+~P2(f317(f317(f227(x80431),x80432),x80434))+~P2(f317(f317(f227(x80431),f2(x80431)),x80433))+P2(f317(f317(f227(x80431),f317(f317(f75(x80431),x80432),x80433)),f317(f317(f75(x80431),x80434),x80433)))
% 192.07/191.93 [8044]~P126(x80441)+~P2(f317(f317(f227(x80441),x80443),x80444))+~P2(f317(f317(f227(x80441),f2(x80441)),x80442))+P2(f317(f317(f227(x80441),f317(f317(f75(x80441),x80442),x80443)),f317(f317(f75(x80441),x80442),x80444)))
% 192.07/191.93 [8045]~P64(x80451)+~P2(f317(f317(f227(x80451),x80452),x80454))+~P2(f317(f317(f227(x80451),f2(x80451)),x80453))+P2(f317(f317(f227(x80451),f317(f317(f281(x80451),x80452),x80453)),f317(f317(f281(x80451),x80454),x80453)))
% 192.07/191.93 [8087]~P107(x80872)+P2(f317(f317(f227(f910(x80871,x80872)),x80874),x80873))+~P2(f317(f317(f226(f910(x80871,x80872)),x80874),x80873))+P2(f317(f317(f226(f910(x80871,x80872)),x80873),x80874))
% 192.07/191.93 [8127]P2(f317(f317(f319(x81271),x81272),x81273))+P2(f317(f317(f319(x81271),x81272),x81274))+~P2(f317(f317(f226(f910(x81271,a898)),x81274),x81273))+P2(f317(f317(f227(f910(x81271,a898)),x81274),f317(f317(f299(x81271),x81272),x81273)))
% 192.07/191.93 [8238]~P120(x82382)+E(x82381,f2(x82382))+P2(f317(f317(f277(x82382),x82383),x82384))+~P2(f317(f317(f277(x82382),f317(f317(f75(x82382),x82383),x82381)),f317(f317(f75(x82382),x82384),x82381)))
% 192.07/191.93 [8239]~P120(x82392)+E(x82391,f2(x82392))+P2(f317(f317(f277(x82392),x82393),x82394))+~P2(f317(f317(f277(x82392),f317(f317(f75(x82392),x82391),x82393)),f317(f317(f75(x82392),x82391),x82394)))
% 192.07/191.93 [8288]P2(f317(f317(f319(x82881),x82882),x82883))+P2(f317(f317(f319(x82881),x82882),x82884))+~P2(f317(f317(f227(f910(x82881,a898)),x82884),f317(f317(f299(x82881),x82882),x82883)))+P2(f317(f317(f226(f910(x82881,a898)),x82884),x82883))
% 192.07/191.93 [8353]~P126(x83531)+P2(f317(f317(f227(x83531),x83533),x83532))+P2(f317(f317(f227(x83531),x83532),x83533))+~P2(f317(f317(f227(x83531),f317(f317(f75(x83531),x83534),x83532)),f317(f317(f75(x83531),x83534),x83533)))
% 192.07/191.93 [8354]~P126(x83541)+P2(f317(f317(f227(x83541),x83543),x83542))+P2(f317(f317(f227(x83541),x83542),x83543))+~P2(f317(f317(f227(x83541),f317(f317(f75(x83541),x83542),x83544)),f317(f317(f75(x83541),x83543),x83544)))
% 192.07/191.93 [8366]~P126(x83661)+P2(f317(f317(f227(x83661),x83664),f2(x83661)))+P2(f317(f317(f227(x83661),x83662),x83663))+~P2(f317(f317(f227(x83661),f317(f317(f75(x83661),x83662),x83664)),f317(f317(f75(x83661),x83663),x83664)))
% 192.07/191.93 [8367]~P126(x83671)+P2(f317(f317(f227(x83671),x83674),f2(x83671)))+P2(f317(f317(f227(x83671),x83672),x83673))+~P2(f317(f317(f227(x83671),f317(f317(f75(x83671),x83674),x83672)),f317(f317(f75(x83671),x83674),x83673)))
% 192.07/191.93 [8370]~P126(x83701)+P2(f317(f317(f227(x83701),x83702),x83703))+P2(f317(f317(f227(x83701),f2(x83701)),x83704))+~P2(f317(f317(f227(x83701),f317(f317(f75(x83701),x83704),x83703)),f317(f317(f75(x83701),x83704),x83702)))
% 192.07/191.93 [8371]~P126(x83711)+P2(f317(f317(f227(x83711),x83712),x83713))+P2(f317(f317(f227(x83711),f2(x83711)),x83714))+~P2(f317(f317(f227(x83711),f317(f317(f75(x83711),x83713),x83714)),f317(f317(f75(x83711),x83712),x83714)))
% 192.07/191.93 [8384]~P126(x83841)+P2(f317(f317(f227(x83841),x83842),f2(x83841)))+P2(f317(f317(f227(x83841),f2(x83841)),x83842))+~P2(f317(f317(f227(x83841),f317(f317(f75(x83841),x83843),x83842)),f317(f317(f75(x83841),x83844),x83842)))
% 192.07/191.93 [8385]~P126(x83851)+P2(f317(f317(f227(x83851),x83852),f2(x83851)))+P2(f317(f317(f227(x83851),f2(x83851)),x83852))+~P2(f317(f317(f227(x83851),f317(f317(f75(x83851),x83852),x83853)),f317(f317(f75(x83851),x83852),x83854)))
% 192.07/191.93 [8414]~P126(x84141)+~P2(f317(f317(f227(x84141),x84144),f2(x84141)))+P2(f317(f317(f226(x84141),x84142),x84143))+~P2(f317(f317(f226(x84141),f317(f317(f75(x84141),x84144),x84143)),f317(f317(f75(x84141),x84144),x84142)))
% 192.07/191.93 [8415]~P126(x84151)+~P2(f317(f317(f227(x84151),x84154),f2(x84151)))+P2(f317(f317(f227(x84151),x84152),x84153))+~P2(f317(f317(f227(x84151),f317(f317(f75(x84151),x84154),x84153)),f317(f317(f75(x84151),x84154),x84152)))
% 192.07/191.93 [8426]~P110(x84263)+~P2(f317(f317(f227(x84263),f72(x84263)),x84264))+P2(f317(f317(f226(a903),x84261),x84262))+~P2(f317(f317(f226(x84263),f317(f317(f234(x84263),x84264),x84261)),f317(f317(f234(x84263),x84264),x84262)))
% 192.07/191.93 [8428]~P110(x84283)+~P2(f317(f317(f227(x84283),f72(x84283)),x84284))+P2(f317(f317(f227(a903),x84281),x84282))+~P2(f317(f317(f227(x84283),f317(f317(f234(x84283),x84284),x84281)),f317(f317(f234(x84283),x84284),x84282)))
% 192.07/191.93 [8438]~P126(x84381)+P2(f317(f317(f226(x84381),x84382),x84383))+~P2(f317(f317(f227(x84381),f2(x84381)),x84384))+~P2(f317(f317(f226(x84381),f317(f317(f75(x84381),x84384),x84382)),f317(f317(f75(x84381),x84384),x84383)))
% 192.07/191.93 [8439]~P134(x84391)+P2(f317(f317(f226(x84391),x84392),x84393))+~P2(f317(f317(f227(x84391),f2(x84391)),x84394))+~P2(f317(f317(f226(x84391),f317(f317(f75(x84391),x84394),x84392)),f317(f317(f75(x84391),x84394),x84393)))
% 192.07/191.93 [8440]~P134(x84401)+P2(f317(f317(f226(x84401),x84402),x84403))+~P2(f317(f317(f227(x84401),f2(x84401)),x84404))+~P2(f317(f317(f226(x84401),f317(f317(f75(x84401),x84402),x84404)),f317(f317(f75(x84401),x84403),x84404)))
% 192.07/191.93 [8441]~P126(x84411)+P2(f317(f317(f227(x84411),x84412),x84413))+~P2(f317(f317(f227(x84411),f2(x84411)),x84414))+~P2(f317(f317(f227(x84411),f317(f317(f75(x84411),x84414),x84412)),f317(f317(f75(x84411),x84414),x84413)))
% 192.07/191.93 [8442]~P134(x84421)+P2(f317(f317(f227(x84421),x84422),x84423))+~P2(f317(f317(f226(x84421),f2(x84421)),x84424))+~P2(f317(f317(f227(x84421),f317(f317(f75(x84421),x84424),x84422)),f317(f317(f75(x84421),x84424),x84423)))
% 192.07/191.93 [8443]~P131(x84431)+P2(f317(f317(f227(x84431),x84432),x84433))+~P2(f317(f317(f226(x84431),f2(x84431)),x84434))+~P2(f317(f317(f227(x84431),f317(f317(f75(x84431),x84434),x84432)),f317(f317(f75(x84431),x84434),x84433)))
% 192.07/191.93 [8444]~P110(x84441)+~P2(f317(f317(f226(x84441),f2(x84441)),x84443))+P2(f317(f317(f227(x84441),x84442),x84443))+~P2(f317(f317(f227(x84441),f317(f317(f234(x84441),x84442),x84444)),f317(f317(f234(x84441),x84443),x84444)))
% 192.07/191.93 [8445]~P134(x84451)+P2(f317(f317(f227(x84451),x84452),x84453))+~P2(f317(f317(f226(x84451),f2(x84451)),x84454))+~P2(f317(f317(f227(x84451),f317(f317(f75(x84451),x84452),x84454)),f317(f317(f75(x84451),x84453),x84454)))
% 192.07/191.93 [8446]~P131(x84461)+P2(f317(f317(f227(x84461),x84462),x84463))+~P2(f317(f317(f226(x84461),f2(x84461)),x84464))+~P2(f317(f317(f227(x84461),f317(f317(f75(x84461),x84462),x84464)),f317(f317(f75(x84461),x84463),x84464)))
% 192.07/191.93 [8490]P2(f317(f317(f319(x84901),x84902),x84903))+~P2(f317(f317(f226(f910(x84901,a898)),x84903),x84904))+~P2(f317(f317(f227(f910(x84901,a898)),x84903),x84904))+P2(f317(f317(f227(f910(x84901,a898)),x84903),f317(f317(f299(x84901),x84902),x84904)))
% 192.07/191.93 [8523]~P146(x85231)+~P121(x85231)+P2(f317(f317(f277(x85231),x85232),f317(f317(f74(x85231),f844(x85232,x85233,x85231)),f2(x85231))))+~P2(f317(x85233,f317(f317(f75(x85231),x85232),x85234)))
% 192.07/191.93 [8870]E(f317(f317(f3(a1),f344(x88701,x88702,x88703,x88704)),f345(x88701,x88702,x88703,x88704)),x88704)+~P2(f317(f317(f227(a1),f2(a1)),x88703))+~P2(f317(f317(f226(a1),x88701),x88704))+P2(f317(f317(f226(a1),x88701),f317(f317(f74(a1),x88704),x88703)))
% 192.07/191.93 [8871]E(f317(f317(f3(a1),f352(x88711,x88712,x88713,x88714)),f353(x88711,x88712,x88713,x88714)),x88714)+~P2(f317(f317(f227(a1),f2(a1)),x88713))+~P2(f317(f317(f227(a1),x88711),x88714))+P2(f317(f317(f227(a1),x88711),f317(f317(f74(a1),x88714),x88713)))
% 192.07/191.93 [9021]~E(f317(f317(f154(x90211),x90213),f607(x90214,x90213,x90211,x90212)),f317(f317(f154(x90211),x90214),f607(x90214,x90213,x90211,x90212)))+E(f317(f317(f165(x90211),x90212),x90213),f317(f317(f165(x90211),x90212),x90214))+~P2(f317(f317(f226(a903),x90212),f317(f179(f904(x90211)),x90213)))+~P2(f317(f317(f226(a903),x90212),f317(f179(f904(x90211)),x90214)))
% 192.07/191.93 [9083]~P2(f317(f317(f227(a1),f2(a1)),x90833))+~P2(f317(f317(f226(a1),x90831),x90834))+P2(f317(f317(f319(a1),f344(x90831,x90832,x90833,x90834)),x90832))+P2(f317(f317(f226(a1),x90831),f317(f317(f74(a1),x90834),x90833)))
% 192.07/191.93 [9084]~P2(f317(f317(f227(a1),f2(a1)),x90843))+~P2(f317(f317(f227(a1),x90841),x90844))+P2(f317(f317(f319(a1),f352(x90841,x90842,x90843,x90844)),x90842))+P2(f317(f317(f227(a1),x90841),f317(f317(f74(a1),x90844),x90843)))
% 192.07/191.93 [9124]~P104(x91241)+~P2(f317(f29(x91241),x91243))+~P2(f317(f317(f319(x91241),x91244),x91243))+P2(f317(f317(f226(x91241),f317(f317(f59(x91241,x91241,f91(x91241)),x91242),x91243)),f317(f317(f91(x91241),x91244),x91242)))
% 192.07/191.93 [9125]~P108(x91251)+~P2(f317(f29(x91251),x91253))+~P2(f317(f317(f319(x91251),x91254),x91253))+P2(f317(f317(f226(x91251),f317(f317(f59(x91251,x91251,f224(x91251)),x91252),x91253)),f317(f317(f224(x91251),x91254),x91252)))
% 192.07/191.93 [9169]E(f317(f317(f165(x91691),x91692),x91693),f317(f317(f165(x91691),x91692),x91694))+P2(f317(f317(f227(a903),f607(x91693,x91694,x91691,x91692)),x91692))+~P2(f317(f317(f226(a903),x91692),f317(f179(f904(x91691)),x91693)))+~P2(f317(f317(f226(a903),x91692),f317(f179(f904(x91691)),x91694)))
% 192.07/191.93 [9174]~P2(f317(f317(f227(a1),f2(a1)),x91743))+~P2(f317(f317(f226(a1),x91741),x91742))+P2(f317(f317(f319(a1),f345(x91741,x91744,x91743,x91742)),f293(a1,f72(a1),x91743)))+P2(f317(f317(f226(a1),x91741),f317(f317(f74(a1),x91742),x91743)))
% 192.07/191.93 [9175]~P2(f317(f317(f227(a1),f2(a1)),x91753))+~P2(f317(f317(f227(a1),x91751),x91752))+P2(f317(f317(f319(a1),f353(x91751,x91754,x91753,x91752)),f293(a1,f72(a1),x91753)))+P2(f317(f317(f227(a1),x91751),f317(f317(f74(a1),x91752),x91753)))
% 192.07/191.93 [9501]~P101(x95011)+~P2(f317(f29(x95011),x95014))+P2(f317(f317(f319(x95011),f427(x95012,x95013,x95014,x95011)),x95014))+P2(f317(f317(f226(x95011),f317(f317(f59(x95011,x95011,f100(x95011)),x95012),x95014)),f317(f317(f100(x95011),x95013),x95012)))
% 192.07/191.93 [9502]~P108(x95021)+~P2(f317(f29(x95021),x95024))+P2(f317(f317(f319(x95021),f461(x95022,x95023,x95024,x95021)),x95024))+P2(f317(f317(f226(x95021),f317(f317(f59(x95021,x95021,f225(x95021)),x95022),x95024)),f317(f317(f225(x95021),x95023),x95022)))
% 192.07/191.93 [9638]~P101(x96381)+~P2(f317(f29(x96381),x96383))+~P2(f317(f317(f226(x96381),f427(x96382,x96384,x96383,x96381)),x96384))+P2(f317(f317(f226(x96381),f317(f317(f59(x96381,x96381,f100(x96381)),x96382),x96383)),f317(f317(f100(x96381),x96384),x96382)))
% 192.07/191.93 [9639]~P108(x96391)+~P2(f317(f29(x96391),x96393))+~P2(f317(f317(f226(x96391),f461(x96392,x96394,x96393,x96391)),x96394))+P2(f317(f317(f226(x96391),f317(f317(f59(x96391,x96391,f225(x96391)),x96392),x96393)),f317(f317(f225(x96391),x96394),x96392)))
% 192.07/191.93 [9641]~P2(f317(f317(f226(a1),f2(a1)),x96414))+~P2(f317(f317(f227(a1),f2(a1)),x96413))+~P2(f317(f317(f227(a1),x96414),x96411))+P2(f317(f317(f227(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96411),f41(a1,x96412,x96413))),x96414)),f317(f317(f75(a1),x96411),x96413)))
% 192.07/191.93 [10030]E(x100301,x100302)+P2(f317(f317(f319(f909(f904(x100303),f904(x100303))),f317(f317(f242(f904(x100303),f904(x100303)),x100302),x100301)),f137(x100303,x100304)))+P2(f317(f317(f319(f909(f904(x100303),f904(x100303))),f317(f317(f242(f904(x100303),f904(x100303)),x100301),x100302)),f137(x100303,x100304)))+~P2(f317(f317(f319(f909(x100303,x100303)),f317(f317(f242(x100303,x100303),f601(x100301,x100302,x100304,x100303)),f603(x100301,x100302,x100304,x100303))),x100304))
% 192.07/191.93 [10031]E(x100311,x100312)+P2(f317(f317(f319(f909(f904(x100313),f904(x100313))),f317(f317(f242(f904(x100313),f904(x100313)),x100312),x100311)),f137(x100313,x100314)))+P2(f317(f317(f319(f909(f904(x100313),f904(x100313))),f317(f317(f242(f904(x100313),f904(x100313)),x100311),x100312)),f137(x100313,x100314)))+~P2(f317(f317(f319(f909(x100313,x100313)),f317(f317(f242(x100313,x100313),f603(x100311,x100312,x100314,x100313)),f601(x100311,x100312,x100314,x100313))),x100314))
% 192.07/191.93 [7575]~P101(x75751)+~P2(f317(f317(f226(x75751),x75753),x75754))+~P2(f317(f317(f226(x75751),x75752),x75754))+P2(f317(f317(f226(x75751),f317(f317(f100(x75751),x75752),x75753)),x75754))
% 192.07/191.93 [7578]~P108(x75781)+~P2(f317(f317(f226(x75781),x75783),x75784))+~P2(f317(f317(f226(x75781),x75782),x75784))+P2(f317(f317(f226(x75781),f317(f317(f225(x75781),x75782),x75783)),x75784))
% 192.07/191.93 [7579]~P108(x75791)+~P2(f317(f317(f227(x75791),x75793),x75794))+~P2(f317(f317(f227(x75791),x75792),x75794))+P2(f317(f317(f227(x75791),f317(f317(f225(x75791),x75792),x75793)),x75794))
% 192.07/191.93 [7817]~P4(x78171)+E(f317(f317(f74(x78171),f317(f317(f31(x78171),x78172),x78173)),f317(f317(f31(x78171),x78174),x78173)),f317(f317(f31(x78171),f317(f317(f74(x78171),x78172),x78174)),x78173))+~P2(f317(f317(f277(x78171),x78173),x78174))+~P2(f317(f317(f277(x78171),x78173),x78172))
% 192.07/191.93 [7900]~E(x79001,x79003)+E(f129(a903,f317(f292(a903,x79001),x79002)),f317(f317(f141(a903),x79003),x79004))+~E(f129(a903,f317(f292(a903,f317(f317(f74(a903),x79001),f72(a903))),x79002)),x79004)+~P2(f317(f317(f227(a903),x79001),x79002))
% 192.07/191.93 [7908]~P108(x79081)+P2(f317(f317(f226(x79081),x79082),x79083))+P2(f317(f317(f226(x79081),x79084),x79083))+~P2(f317(f317(f226(x79081),f317(f317(f224(x79081),x79084),x79082)),x79083))
% 192.07/191.93 [7909]~P108(x79091)+P2(f317(f317(f227(x79091),x79092),x79093))+P2(f317(f317(f227(x79091),x79094),x79093))+~P2(f317(f317(f227(x79091),f317(f317(f224(x79091),x79094),x79092)),x79093))
% 192.07/191.93 [8185]~P63(x81851)+~P2(f317(f317(f227(x81851),f2(x81851)),x81853))+~P2(f317(f317(f226(x81851),x81852),f317(f317(f281(x81851),x81854),x81853)))+P2(f317(f317(f226(x81851),f317(f317(f75(x81851),x81852),x81853)),x81854))
% 192.07/191.93 [8186]~P64(x81861)+~P2(f317(f317(f227(x81861),f2(x81861)),x81863))+~P2(f317(f317(f226(x81861),x81862),f317(f317(f281(x81861),x81864),x81863)))+P2(f317(f317(f226(x81861),f317(f317(f75(x81861),x81862),x81863)),x81864))
% 192.07/191.93 [8187]~P63(x81871)+~P2(f317(f317(f227(x81871),f2(x81871)),x81873))+~P2(f317(f317(f226(x81871),x81872),f317(f317(f75(x81871),x81874),x81873)))+P2(f317(f317(f226(x81871),f317(f317(f281(x81871),x81872),x81873)),x81874))
% 192.07/191.93 [8189]~P64(x81891)+~P2(f317(f317(f227(x81891),f2(x81891)),x81893))+~P2(f317(f317(f226(x81891),x81892),f317(f317(f75(x81891),x81894),x81893)))+P2(f317(f317(f226(x81891),f317(f317(f281(x81891),x81892),x81893)),x81894))
% 192.07/191.93 [8190]~P63(x81901)+~P2(f317(f317(f227(x81901),f2(x81901)),x81903))+~P2(f317(f317(f227(x81901),x81902),f317(f317(f281(x81901),x81904),x81903)))+P2(f317(f317(f227(x81901),f317(f317(f75(x81901),x81902),x81903)),x81904))
% 192.07/191.93 [8191]~P64(x81911)+~P2(f317(f317(f227(x81911),f2(x81911)),x81913))+~P2(f317(f317(f227(x81911),x81912),f317(f317(f281(x81911),x81914),x81913)))+P2(f317(f317(f227(x81911),f317(f317(f75(x81911),x81912),x81913)),x81914))
% 192.07/191.93 [8192]~P63(x81921)+~P2(f317(f317(f227(x81921),f2(x81921)),x81923))+~P2(f317(f317(f227(x81921),x81922),f317(f317(f75(x81921),x81924),x81923)))+P2(f317(f317(f227(x81921),f317(f317(f281(x81921),x81922),x81923)),x81924))
% 192.07/191.93 [8194]~P64(x81941)+~P2(f317(f317(f227(x81941),f2(x81941)),x81943))+~P2(f317(f317(f227(x81941),x81942),f317(f317(f75(x81941),x81944),x81943)))+P2(f317(f317(f227(x81941),f317(f317(f281(x81941),x81942),x81943)),x81944))
% 192.07/191.93 [8323]~P63(x83231)+~P2(f317(f317(f227(x83231),f2(x83231)),x83234))+P2(f317(f317(f226(x83231),x83232),f317(f317(f75(x83231),x83233),x83234)))+~P2(f317(f317(f226(x83231),f317(f317(f281(x83231),x83232),x83234)),x83233))
% 192.07/191.93 [8324]~P63(x83241)+~P2(f317(f317(f227(x83241),f2(x83241)),x83244))+P2(f317(f317(f226(x83241),x83242),f317(f317(f281(x83241),x83243),x83244)))+~P2(f317(f317(f226(x83241),f317(f317(f75(x83241),x83242),x83244)),x83243))
% 192.07/191.93 [8326]~P64(x83261)+~P2(f317(f317(f227(x83261),f2(x83261)),x83264))+P2(f317(f317(f226(x83261),x83262),f317(f317(f75(x83261),x83263),x83264)))+~P2(f317(f317(f226(x83261),f317(f317(f281(x83261),x83262),x83264)),x83263))
% 192.07/191.93 [8327]~P64(x83271)+~P2(f317(f317(f227(x83271),f2(x83271)),x83274))+P2(f317(f317(f226(x83271),x83272),f317(f317(f281(x83271),x83273),x83274)))+~P2(f317(f317(f226(x83271),f317(f317(f75(x83271),x83272),x83274)),x83273))
% 192.07/191.93 [8328]~P63(x83281)+~P2(f317(f317(f227(x83281),f2(x83281)),x83284))+P2(f317(f317(f227(x83281),x83282),f317(f317(f75(x83281),x83283),x83284)))+~P2(f317(f317(f227(x83281),f317(f317(f281(x83281),x83282),x83284)),x83283))
% 192.07/191.93 [8329]~P63(x83291)+~P2(f317(f317(f227(x83291),f2(x83291)),x83294))+P2(f317(f317(f227(x83291),x83292),f317(f317(f281(x83291),x83293),x83294)))+~P2(f317(f317(f227(x83291),f317(f317(f75(x83291),x83292),x83294)),x83293))
% 192.07/191.93 [8331]~P64(x83311)+~P2(f317(f317(f227(x83311),f2(x83311)),x83314))+P2(f317(f317(f227(x83311),x83312),f317(f317(f75(x83311),x83313),x83314)))+~P2(f317(f317(f227(x83311),f317(f317(f281(x83311),x83312),x83314)),x83313))
% 192.07/191.93 [8332]~P64(x83321)+~P2(f317(f317(f227(x83321),f2(x83321)),x83324))+P2(f317(f317(f227(x83321),x83322),f317(f317(f281(x83321),x83323),x83324)))+~P2(f317(f317(f227(x83321),f317(f317(f75(x83321),x83322),x83324)),x83323))
% 192.07/191.93 [8493]~P64(x84931)+~P2(f317(f317(f227(x84931),x84933),f2(x84931)))+~P2(f317(f317(f226(x84931),f317(f317(f281(x84931),x84934),x84933)),x84932))+P2(f317(f317(f226(x84931),f317(f317(f75(x84931),x84932),x84933)),x84934))
% 192.07/191.93 [8494]~P64(x84941)+~P2(f317(f317(f227(x84941),x84943),f2(x84941)))+~P2(f317(f317(f226(x84941),f317(f317(f75(x84941),x84944),x84943)),x84942))+P2(f317(f317(f226(x84941),f317(f317(f281(x84941),x84942),x84943)),x84944))
% 192.07/191.93 [8495]~P64(x84951)+~P2(f317(f317(f227(x84951),x84953),f2(x84951)))+~P2(f317(f317(f227(x84951),f317(f317(f281(x84951),x84954),x84953)),x84952))+P2(f317(f317(f227(x84951),f317(f317(f75(x84951),x84952),x84953)),x84954))
% 192.07/191.93 [8496]~P64(x84961)+~P2(f317(f317(f227(x84961),x84963),f2(x84961)))+~P2(f317(f317(f227(x84961),f317(f317(f75(x84961),x84964),x84963)),x84962))+P2(f317(f317(f227(x84961),f317(f317(f281(x84961),x84962),x84963)),x84964))
% 192.07/191.93 [8508]~P2(f317(x85081,x85084))+~P2(f317(f317(f227(a903),x85082),f317(f317(f75(a903),x85083),f317(a102,x85084))))+P2(f317(x85081,f317(f317(f31(a903),x85082),x85083)))+~P2(f317(f317(f226(a903),f317(f317(f75(a903),x85083),x85084)),x85082))
% 192.07/191.93 [8718]~P101(x87181)+~P2(f317(f29(x87181),x87184))+~P2(f317(f317(f319(x87181),x87182),x87184))+P2(f317(f317(f226(x87181),f317(f317(f100(x87181),x87182),x87183)),f317(f317(f59(x87181,x87181,f100(x87181)),x87183),x87184)))
% 192.07/191.93 [8719]~P108(x87191)+~P2(f317(f29(x87191),x87194))+~P2(f317(f317(f319(x87191),x87192),x87194))+P2(f317(f317(f226(x87191),f317(f317(f225(x87191),x87192),x87193)),f317(f317(f59(x87191,x87191,f225(x87191)),x87193),x87194)))
% 192.07/191.93 [8872]~P2(f317(f29(x88721),x88722))+E(f317(f30(x88721),f317(f317(f3(f910(x88721,a898)),x88722),f317(f317(f299(x88721),x88723),x88724))),f317(f317(f3(a903),f317(f30(x88721),f317(f317(f3(f910(x88721,a898)),x88722),x88724))),f72(a903)))+P2(f317(f317(f319(x88721),x88723),x88724))+~P2(f317(f317(f319(x88721),x88723),x88722))
% 192.07/191.93 [8949]E(f317(f317(f74(a1),f346(x89491,x89492,x89493,x89494)),f347(x89491,x89492,x89493,x89494)),x89494)+~P2(f317(f317(f227(a1),f2(a1)),x89493))+~P2(f317(f317(f226(a1),x89494),x89491))+P2(f317(f317(f226(a1),f317(f317(f3(a1),x89494),x89493)),x89491))
% 192.07/191.93 [8950]E(f317(f317(f74(a1),f354(x89501,x89502,x89503,x89504)),f355(x89501,x89502,x89503,x89504)),x89504)+~P2(f317(f317(f227(a1),f2(a1)),x89503))+~P2(f317(f317(f227(a1),x89504),x89501))+P2(f317(f317(f227(a1),f317(f317(f3(a1),x89504),x89503)),x89501))
% 192.07/191.93 [9154]~P2(f317(f317(f227(a1),f2(a1)),x91543))+~P2(f317(f317(f226(a1),x91544),x91541))+P2(f317(f317(f319(a1),f346(x91541,x91542,x91543,x91544)),x91542))+P2(f317(f317(f226(a1),f317(f317(f3(a1),x91544),x91543)),x91541))
% 192.07/191.93 [9155]~P2(f317(f317(f227(a1),f2(a1)),x91553))+~P2(f317(f317(f227(a1),x91554),x91551))+P2(f317(f317(f319(a1),f354(x91551,x91552,x91553,x91554)),x91552))+P2(f317(f317(f227(a1),f317(f317(f3(a1),x91554),x91553)),x91551))
% 192.07/191.93 [9241]~P2(f317(f317(f227(a1),f2(a1)),x92412))+~P2(f317(f317(f226(a1),x92411),x92413))+P2(f317(f317(f319(a1),f347(x92413,x92414,x92412,x92411)),f293(a1,f72(a1),x92412)))+P2(f317(f317(f226(a1),f317(f317(f3(a1),x92411),x92412)),x92413))
% 192.07/191.93 [9242]~P2(f317(f317(f227(a1),f2(a1)),x92422))+~P2(f317(f317(f227(a1),x92421),x92423))+P2(f317(f317(f319(a1),f355(x92423,x92424,x92422,x92421)),f293(a1,f72(a1),x92422)))+P2(f317(f317(f227(a1),f317(f317(f3(a1),x92421),x92422)),x92423))
% 192.07/191.93 [9260]~P2(f317(f317(f226(a1),f2(a1)),x92604))+~P2(f317(f317(f227(a1),f2(a1)),x92603))+~P2(f317(f317(f227(a1),x92604),x92601))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92601),f41(a1,x92602,x92603))),x92604)))
% 192.07/191.93 [9289]E(x92891,x92892)+~P39(x92893,x92894)+~P2(f317(f317(f319(f909(x92893,x92893)),f317(f317(f242(x92893,x92893),x92892),x92891)),x92894))+~P2(f317(f317(f319(f909(x92893,x92893)),f317(f317(f242(x92893,x92893),x92891),x92892)),x92894))
% 192.07/191.93 [9322]~P104(x93221)+~P2(f317(f29(x93221),x93224))+~P2(f317(f317(f226(x93221),x93222),f426(x93223,x93222,x93224,x93221)))+P2(f317(f317(f226(x93221),f317(f317(f91(x93221),x93222),x93223)),f317(f317(f59(x93221,x93221,f91(x93221)),x93223),x93224)))
% 192.07/191.93 [9323]~P108(x93231)+~P2(f317(f29(x93231),x93234))+~P2(f317(f317(f226(x93231),x93232),f448(x93233,x93232,x93234,x93231)))+P2(f317(f317(f226(x93231),f317(f317(f224(x93231),x93232),x93233)),f317(f317(f59(x93231,x93231,f224(x93231)),x93233),x93234)))
% 192.07/191.93 [9340]~P2(f317(f317(f226(a1),x93404),f2(a1)))+~P2(f317(f317(f227(a1),f2(a1)),x93402))+~P2(f317(f317(f227(a1),x93401),x93404))+P2(f317(f317(f227(a1),f317(f317(f75(a1),x93401),x93402)),f317(f317(f74(a1),f317(f317(f75(a1),x93401),f41(a1,x93403,x93402))),x93404)))
% 192.07/191.93 [9366]P2(f317(f29(x93661),x93662))+~P2(f317(f29(x93661),x93663))+~P2(f317(f317(f319(f910(x93661,a898)),x93662),f317(f317(f56(x93661),x93663),x93664)))+~P2(f317(f317(f226(f910(f909(x93661,x93661),a898)),x93664),f317(f317(f244(x93661,x93661),x93663),f317(f18(f910(x93661,a898),x93661),x93663))))
% 192.07/191.93 [9390]~P104(x93901)+~P2(f317(f29(x93901),x93904))+P2(f317(f317(f319(x93901),f426(x93902,x93903,x93904,x93901)),x93904))+P2(f317(f317(f226(x93901),f317(f317(f91(x93901),x93903),x93902)),f317(f317(f59(x93901,x93901,f91(x93901)),x93902),x93904)))
% 192.07/191.93 [9391]~P108(x93911)+~P2(f317(f29(x93911),x93914))+P2(f317(f317(f319(x93911),f448(x93912,x93913,x93914,x93911)),x93914))+P2(f317(f317(f226(x93911),f317(f317(f224(x93911),x93913),x93912)),f317(f317(f59(x93911,x93911,f224(x93911)),x93912),x93914)))
% 192.07/191.93 [9806]~P2(f317(f29(x98062),x98064))+~P2(f317(f29(x98061),x98063))+~P2(f317(f317(f226(a903),f317(f30(x98062),x98064)),f317(f30(x98061),x98063)))+P2(f317(f317(f226(f910(x98061,a898)),f317(f300(x98062,x98061,f598(x98063,x98061,x98064,x98062)),x98064)),x98063))
% 192.07/191.93 [9442]~P2(f317(f317(f319(x94421),x94422),x94424))+P2(f317(f317(f319(x94421),x94422),x94423))+~P2(f317(f317(f227(f910(x94421,a898)),x94424),f317(f317(f299(x94421),x94422),x94423)))+P2(f317(f317(f227(f910(x94421,a898)),f317(f317(f3(f910(x94421,a898)),x94424),f317(f317(f299(x94421),x94422),f178(f910(x94421,a898))))),x94423))
% 192.07/191.93 [9619]~P2(f317(f317(f319(x96191),x96192),x96194))+P2(f317(f317(f319(x96191),x96192),x96193))+P2(f317(f317(f227(f910(x96191,a898)),x96194),f317(f317(f299(x96191),x96192),x96193)))+~P2(f317(f317(f227(f910(x96191,a898)),f317(f317(f3(f910(x96191,a898)),x96194),f317(f317(f299(x96191),x96192),f178(f910(x96191,a898))))),x96193))
% 192.07/191.93 [9644]P2(f317(f317(f319(x96441),x96442),x96443))+~P2(f317(f317(f226(f910(x96441,a898)),x96444),x96443))+P2(f317(f317(f227(f910(x96441,a898)),x96444),f317(f317(f299(x96441),x96442),x96443)))+~P2(f317(f317(f227(f910(x96441,a898)),f317(f317(f3(f910(x96441,a898)),x96444),f317(f317(f299(x96441),x96442),f178(f910(x96441,a898))))),x96443))
% 192.07/191.93 [9649]~P2(f317(f317(f319(x96491),x96493),x96492))+~P2(f317(f317(f227(f910(x96491,a898)),x96492),x96494))+P2(f317(f317(f227(f910(x96491,a898)),x96492),f317(f317(f299(x96491),x96493),x96494)))+~P2(f317(f317(f227(f910(x96491,a898)),f317(f317(f3(f910(x96491,a898)),x96492),f317(f317(f299(x96491),x96493),f178(f910(x96491,a898))))),x96494))
% 192.07/191.93 [9666]~P2(f317(f317(f226(f910(x96661,a898)),x96662),x96664))+~P2(f317(f317(f227(f910(x96661,a898)),x96662),x96664))+P2(f317(f317(f227(f910(x96661,a898)),x96662),f317(f317(f299(x96661),x96663),x96664)))+~P2(f317(f317(f227(f910(x96661,a898)),f317(f317(f3(f910(x96661,a898)),x96662),f317(f317(f299(x96661),x96663),f178(f910(x96661,a898))))),x96664))
% 192.07/191.93 [9711]~P109(x97112)+~P60(x97111)+~P2(f317(f317(f226(f910(x97111,x97112)),x97113),x97114))+P2(f317(f53(x97111),f317(f317(f20(x97111,x97112,a898),f317(f317(f10(x97112,f910(x97112,a898),x97111),f226(x97112)),x97113)),x97114)))
% 192.07/191.93 [9854]~P109(x98542)+~P60(x98541)+P2(f317(f317(f226(f910(x98541,x98542)),x98543),x98544))+~P2(f317(f53(x98541),f317(f317(f20(x98541,x98542,a898),f317(f317(f10(x98542,f910(x98542,a898),x98541),f226(x98542)),x98543)),x98544)))
% 192.07/191.93 [10021]E(f317(f317(f154(x100211),f317(f317(f154(f904(x100211)),f169(x100211,x100212)),x100213)),x100214),f317(f317(f154(x100211),f317(f317(f154(f904(x100211)),x100212),x100214)),x100213))+~P2(f317(f317(f227(a903),x100213),f317(f179(f904(f904(x100211))),f169(x100211,x100212))))+~P14(a903,f317(f158(a903),f317(f317(f144(f904(x100211),a903),f179(f904(x100211))),x100212)))+~P2(f317(f317(f227(a903),x100214),f317(f179(f904(f904(x100211))),f317(f126(f904(x100211),f317(f317(f10(a903,a898,f904(x100211)),f317(f227(a903),x100213)),f179(f904(x100211)))),x100212))))
% 192.07/191.93 [10042]~P2(f317(f317(f319(f909(a903,a903)),x100424),x100421))+~P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),x100424),x100422)),a26))+~P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),x100421),x100423)),a27))+P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),x100421),f317(f317(f299(f909(a903,a903)),x100422),x100423))),a27))
% 192.07/191.93 [10043]~P2(f317(f317(f319(f909(a903,a903)),x100434),x100431))+~P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),x100434),x100432)),a65))+~P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),x100431),x100433)),a66))+P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),x100431),f317(f317(f299(f909(a903,a903)),x100432),x100433))),a66))
% 192.07/191.93 [9933]~P109(x99332)+~P60(x99331)+~P2(f317(f317(f227(f910(x99331,x99332)),x99333),x99334))+P2(f317(f52(x99331),f317(f317(f10(a898,a898,x99331),a312),f317(f317(f20(x99331,x99332,a898),f317(f317(f10(x99332,f910(x99332,a898),x99331),a314),x99333)),x99334))))
% 192.07/191.93 [10054]~P2(f317(f317(f319(f909(a903,a903)),x100544),x100543))+~P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),x100541),x100544)),a26))+~P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),x100542),x100543)),a28))+P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),f317(f317(f299(f909(a903,a903)),x100541),x100542)),x100543)),a28))
% 192.07/191.93 [10055]~P2(f317(f317(f319(f909(a903,a903)),x100554),x100553))+~P2(f317(f317(f319(f909(f909(a903,a903),f909(a903,a903))),f317(f317(f242(f909(a903,a903),f909(a903,a903)),x100551),x100554)),a65))+~P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),x100552),x100553)),a64))+P2(f317(f317(f319(f909(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898))),f317(f317(f242(f910(f909(a903,a903),a898),f910(f909(a903,a903),a898)),f317(f317(f299(f909(a903,a903)),x100551),x100552)),x100553)),a64))
% 192.07/191.93 [6136]~P8(x61364,x61361)+~P2(f317(f317(x61361,x61362),x61365))+P2(f317(f317(x61361,x61362),x61363))+~P2(f317(f317(x61361,x61365),x61363))
% 192.07/191.93 [6137]~P49(x61374,x61371)+~P2(f317(f317(x61371,x61372),x61375))+P2(f317(f317(x61371,x61372),x61373))+~P2(f317(f317(x61371,x61375),x61373))
% 192.07/191.93 [6138]~P16(x61384,x61381)+~P2(f317(f317(x61381,x61382),x61385))+P2(f317(f317(x61381,x61382),x61383))+~P2(f317(f317(x61381,x61385),x61383))
% 192.07/191.93 [8857]~P8(x88574,x88573)+~P2(f317(x88571,x88575))+P2(f317(x88572,f815(x88572,x88571,x88573,x88574)))+P2(f317(x88571,f814(x88572,x88571,x88573,x88574)))
% 192.07/191.93 [9091]~P8(x90914,x90913)+~P2(f317(x90912,x90915))+~P2(f317(x90911,f814(x90911,x90912,x90913,x90914)))+P2(f317(x90911,f815(x90911,x90912,x90913,x90914)))
% 192.07/191.93 [9273]~P8(x92734,x92733)+~P2(f317(x92731,x92735))+P2(f317(f317(f319(x92734),f815(x92732,x92731,x92733,x92734)),f260(x92734,x92733)))+P2(f317(x92731,f814(x92732,x92731,x92733,x92734)))
% 192.07/191.93 [9399]~P8(x93991,x93994)+~P2(f317(x93993,x93995))+~P2(f317(x93992,f814(x93992,x93993,x93994,x93991)))+P2(f317(f317(f319(x93991),f815(x93992,x93993,x93994,x93991)),f260(x93991,x93994)))
% 192.07/191.93 [9700]~P38(x97001,x97004)+P2(f317(f317(f319(f909(f904(x97001),f904(x97001))),f317(f317(f242(f904(x97001),f904(x97001)),x97002),x97003)),f137(x97001,x97004)))+~P2(f317(f317(f319(f909(f904(x97001),f904(x97001))),f317(f317(f242(f904(x97001),f904(x97001)),x97002),x97005)),f137(x97001,x97004)))+~P2(f317(f317(f319(f909(f904(x97001),f904(x97001))),f317(f317(f242(f904(x97001),f904(x97001)),x97005),x97003)),f137(x97001,x97004)))
% 192.07/191.93 [5358]~P68(x53585)+E(x53581,x53582)+~E(x53583,x53584)+~E(f317(f317(f3(x53585),x53583),x53584),f317(f317(f3(x53585),x53581),x53582))
% 192.07/191.93 [6252]~P18(x62525,x62521,x62523)+E(f317(f317(x62521,x62522),f317(x62523,x62524)),f317(x62523,x62524))+~P2(f317(f29(x62525),x62524))+~P2(f317(f317(f319(x62525),x62522),x62524))
% 192.07/191.93 [6448]~P79(x64481)+~E(f317(f317(f3(x64481),x64484),x64485),f317(f317(f3(x64481),x64482),x64483))+~P2(f317(f317(f226(x64481),x64484),x64485))+P2(f317(f317(f226(x64481),x64482),x64483))
% 192.07/191.93 [6450]~P79(x64501)+~E(f317(f317(f3(x64501),x64504),x64505),f317(f317(f3(x64501),x64502),x64503))+~P2(f317(f317(f227(x64501),x64504),x64505))+P2(f317(f317(f227(x64501),x64502),x64503))
% 192.07/191.93 [7442]~E(x74422,f317(f317(f141(x74421),x74424),x74425))+P2(f317(f317(f319(f904(x74421)),x74422),f151(x74421,x74423)))+~P2(f317(f317(f319(f904(x74421)),x74425),f151(x74421,x74423)))+~P2(f317(f317(f319(x74421),x74424),x74423))
% 192.07/191.93 [7848]~E(f317(f179(f904(x78481)),x78483),f317(f179(f904(x78482)),x78484))+~E(f317(f317(f144(f909(x78481,x78482),x78482),f246(x78481,x78482)),x78485),x78484)+~E(f317(f317(f144(f909(x78481,x78482),x78481),f241(x78481,x78482)),x78485),x78483)+E(f317(f317(f171(x78481,x78482),x78483),x78484),x78485)
% 192.07/191.93 [8181]~P109(x81811)+P2(f317(f317(f227(f910(x81811,a898)),f293(x81811,x81812,x81813)),f293(x81811,x81814,x81815)))+~P2(f317(f317(f226(x81811),x81814),x81815))+P2(f317(f317(f226(x81811),x81812),x81813))
% 192.07/191.93 [8281]~P109(x82811)+P2(f317(f317(f226(f910(x82811,a898)),f293(x82811,x82812,x82813)),f293(x82811,x82814,x82815)))+~P2(f317(f317(f226(x82811),x82813),x82815))+~P2(f317(f317(f226(x82811),x82814),x82812))
% 192.07/191.93 [8400]~P108(x84001)+P2(f317(f317(f226(x84001),x84002),x84003))+P2(f317(f317(f226(x84001),x84004),x84003))+~P2(f317(f317(f226(f910(x84001,a898)),f317(f292(x84001,x84003),x84002)),f317(f292(x84001,x84004),x84005)))
% 192.07/191.93 [8401]~P108(x84011)+P2(f317(f317(f226(x84011),x84012),x84013))+P2(f317(f317(f226(x84011),x84012),x84014))+~P2(f317(f317(f226(f910(x84011,a898)),f317(f292(x84011,x84013),x84012)),f317(f292(x84011,x84015),x84014)))
% 192.07/191.93 [8635]~P109(x86351)+~P2(f317(f317(f226(f910(x86351,a898)),f293(x86351,x86354,x86352)),f293(x86351,x86355,x86353)))+P2(f317(f317(f226(x86351),x86352),x86353))+~P2(f317(f317(f226(x86351),x86354),x86352))
% 192.07/191.93 [8636]~P109(x86361)+~P2(f317(f317(f227(f910(x86361,a898)),f293(x86361,x86364,x86362)),f293(x86361,x86365,x86363)))+P2(f317(f317(f226(x86361),x86362),x86363))+~P2(f317(f317(f226(x86361),x86364),x86362))
% 192.07/191.93 [8637]~P109(x86371)+~P2(f317(f317(f226(f910(x86371,a898)),f293(x86371,x86373,x86374)),f293(x86371,x86372,x86375)))+P2(f317(f317(f226(x86371),x86372),x86373))+~P2(f317(f317(f226(x86371),x86373),x86374))
% 192.07/191.93 [8638]~P109(x86381)+~P2(f317(f317(f227(f910(x86381,a898)),f293(x86381,x86383,x86384)),f293(x86381,x86382,x86385)))+P2(f317(f317(f226(x86381),x86382),x86383))+~P2(f317(f317(f226(x86381),x86383),x86384))
% 192.07/191.93 [6135]~P18(x61352,x61355,x61353)+E(x61351,f178(f910(x61352,a898)))+~P2(f317(f29(x61352),x61351))+E(f317(x61353,f317(f317(f299(x61352),x61354),x61351)),f317(f317(x61355,x61354),f317(x61353,x61351)))
% 192.07/191.93 [6932]~E(x69321,x69322)+~E(f317(f317(f91(f910(x69323,a898)),x69324),x69325),f178(f910(x69323,a898)))+~P2(f317(f317(f319(x69323),x69322),x69325))+~P2(f317(f317(f319(x69323),x69321),x69324))
% 192.07/191.93 [7014]~P19(x70142,x70145,x70141)+~P2(f317(f29(x70142),x70144))+E(f317(x70141,f317(f317(f299(x70142),x70143),x70144)),f317(f317(f59(x70142,x70142,x70145),x70143),x70144))+P2(f317(f317(f319(x70142),x70143),x70144))
% 192.07/191.93 [7083]~P71(x70832)+~P2(f317(f29(x70831),x70835))+E(f317(f317(f11(x70831,x70832),x70833),f317(f317(f299(x70831),x70834),x70835)),f317(f317(f75(x70832),f317(x70833,x70834)),f317(f317(f11(x70831,x70832),x70833),x70835)))+P2(f317(f317(f319(x70831),x70834),x70835))
% 192.07/191.93 [7085]~P75(x70852)+~P2(f317(f29(x70851),x70855))+E(f317(f317(f8(x70851,x70852),x70853),f317(f317(f299(x70851),x70854),x70855)),f317(f317(f74(x70852),f317(x70853,x70854)),f317(f317(f8(x70851,x70852),x70853),x70855)))+P2(f317(f317(f319(x70851),x70854),x70855))
% 192.07/191.93 [7489]~P118(x74891)+~P2(f317(f29(x74894),x74895))+~P2(f317(f317(f319(x74894),x74893),x74895))+P2(f317(f317(f277(x74891),f317(x74892,x74893)),f317(f317(f11(x74894,x74891),x74892),x74895)))
% 192.07/191.93 [7588]~P19(x75882,x75885,x75881)+~P2(f317(f29(x75882),x75884))+E(f317(x75881,f317(f317(f299(x75882),x75883),x75884)),x75883)+~E(f317(f317(f3(f910(x75882,a898)),x75884),f317(f317(f299(x75882),x75883),f178(f910(x75882,a898)))),f178(f910(x75882,a898)))
% 192.07/191.93 [7921]~P118(x79211)+~P2(f317(f317(f277(x79211),x79212),x79214))+~P2(f317(f317(f226(a903),x79213),x79215))+P2(f317(f317(f277(x79211),f317(f317(f234(x79211),x79212),x79213)),f317(f317(f234(x79211),x79214),x79215)))
% 192.07/191.93 [7949]~P4(x79491)+E(f317(f317(f31(x79491),f317(f317(f75(x79491),x79492),x79493)),f317(f317(f75(x79491),x79494),x79495)),f317(f317(f75(x79491),f317(f317(f31(x79491),x79492),x79494)),f317(f317(f31(x79491),x79493),x79495)))+~P2(f317(f317(f277(x79491),x79495),x79493))+~P2(f317(f317(f277(x79491),x79494),x79492))
% 192.07/191.93 [7953]~P84(x79531)+~P2(f317(f317(f226(x79531),x79533),x79535))+~P2(f317(f317(f226(x79531),x79532),x79534))+P2(f317(f317(f226(x79531),f317(f317(f74(x79531),x79532),x79533)),f317(f317(f74(x79531),x79534),x79535)))
% 192.07/191.93 [7954]~P101(x79541)+~P2(f317(f317(f226(x79541),x79543),x79545))+~P2(f317(f317(f226(x79541),x79542),x79544))+P2(f317(f317(f226(x79541),f317(f317(f100(x79541),x79542),x79543)),f317(f317(f100(x79541),x79544),x79545)))
% 192.07/191.93 [7955]~P104(x79551)+~P2(f317(f317(f226(x79551),x79553),x79555))+~P2(f317(f317(f226(x79551),x79552),x79554))+P2(f317(f317(f226(x79551),f317(f317(f91(x79551),x79552),x79553)),f317(f317(f91(x79551),x79554),x79555)))
% 192.07/191.93 [7956]~P108(x79561)+~P2(f317(f317(f226(x79561),x79563),x79565))+~P2(f317(f317(f226(x79561),x79562),x79564))+P2(f317(f317(f226(x79561),f317(f317(f224(x79561),x79562),x79563)),f317(f317(f224(x79561),x79564),x79565)))
% 192.07/191.93 [7957]~P108(x79571)+~P2(f317(f317(f226(x79571),x79573),x79575))+~P2(f317(f317(f226(x79571),x79572),x79574))+P2(f317(f317(f226(x79571),f317(f317(f225(x79571),x79572),x79573)),f317(f317(f225(x79571),x79574),x79575)))
% 192.07/191.93 [7958]~P86(x79581)+~P2(f317(f317(f226(x79581),x79583),x79585))+~P2(f317(f317(f227(x79581),x79582),x79584))+P2(f317(f317(f227(x79581),f317(f317(f74(x79581),x79582),x79583)),f317(f317(f74(x79581),x79584),x79585)))
% 192.07/191.93 [7959]~P86(x79591)+~P2(f317(f317(f226(x79591),x79592),x79594))+~P2(f317(f317(f227(x79591),x79593),x79595))+P2(f317(f317(f227(x79591),f317(f317(f74(x79591),x79592),x79593)),f317(f317(f74(x79591),x79594),x79595)))
% 192.07/191.93 [7960]~P86(x79601)+~P2(f317(f317(f227(x79601),x79603),x79605))+~P2(f317(f317(f227(x79601),x79602),x79604))+P2(f317(f317(f227(x79601),f317(f317(f74(x79601),x79602),x79603)),f317(f317(f74(x79601),x79604),x79605)))
% 192.07/191.93 [7961]~P118(x79611)+~P2(f317(f317(f277(x79611),x79613),x79615))+~P2(f317(f317(f277(x79611),x79612),x79614))+P2(f317(f317(f277(x79611),f317(f317(f75(x79611),x79612),x79613)),f317(f317(f75(x79611),x79614),x79615)))
% 192.07/191.93 [8097]~P143(x80975)+E(x80971,x80972)+E(x80973,x80974)+~E(f317(f317(f74(x80975),f317(f317(f75(x80975),x80973),x80971)),f317(f317(f75(x80975),x80974),x80972)),f317(f317(f74(x80975),f317(f317(f75(x80975),x80973),x80972)),f317(f317(f75(x80975),x80974),x80971)))
% 192.07/191.93 [8301]~P108(x83014)+~P2(f317(f127(x83011),x83013))+P2(f317(f317(f319(x83011),x83012),f317(f162(x83011),x83013)))+P2(f317(f127(x83011),f317(f317(f138(x83011,x83014,x83015),x83012),x83013)))
% 192.07/191.93 [8447]~P68(x84471)+E(f317(f317(f3(x84471),f317(f317(f8(a903,x84471),x84472),f317(f292(a903,x84473),x84474))),f317(f317(f8(a903,x84471),x84472),f317(f292(a903,x84473),x84475))),f317(f317(f8(a903,x84471),x84472),f317(f292(a903,x84475),x84474)))+~P2(f317(f317(f226(a903),x84475),x84474))+~P2(f317(f317(f226(a903),x84473),x84475))
% 192.07/191.93 [8448]~P75(x84481)+E(f317(f317(f74(x84481),f317(f317(f8(a903,x84481),x84482),f317(f292(a903,x84483),x84484))),f317(f317(f8(a903,x84481),x84482),f317(f292(a903,x84484),x84485))),f317(f317(f8(a903,x84481),x84482),f317(f292(a903,x84483),x84485)))+~P2(f317(f317(f226(a903),x84484),x84485))+~P2(f317(f317(f226(a903),x84483),x84484))
% 192.07/191.93 [8778]~P62(x87782)+E(x87781,f2(x87782))+E(x87783,f2(x87782))+E(f317(f317(f281(x87782),f317(f317(f3(x87782),f317(f317(f75(x87782),x87784),x87781)),f317(f317(f75(x87782),x87785),x87783))),f317(f317(f75(x87782),x87783),x87781)),f317(f317(f3(x87782),f317(f317(f281(x87782),x87784),x87783)),f317(f317(f281(x87782),x87785),x87781)))
% 192.07/191.93 [8779]~P62(x87792)+E(x87791,f2(x87792))+E(x87793,f2(x87792))+E(f317(f317(f281(x87792),f317(f317(f74(x87792),f317(f317(f75(x87792),x87794),x87791)),f317(f317(f75(x87792),x87795),x87793))),f317(f317(f75(x87792),x87793),x87791)),f317(f317(f74(x87792),f317(f317(f281(x87792),x87794),x87793)),f317(f317(f281(x87792),x87795),x87791)))
% 192.07/191.93 [8788]~E(x87882,f317(x87883,x87881))+E(x87881,f366(x87882,x87883,x87884,x87885))+~P25(x87885,x87884,x87883,f232(f910(x87885,a898)))+~P2(f317(f317(f319(x87884),x87882),f317(f300(x87885,x87884,x87883),f232(f910(x87885,a898)))))
% 192.07/191.93 [9005]~P117(x90051)+~P2(f317(f317(f227(x90051),f317(f70(x90051),x90052)),x90054))+P2(f317(f317(f227(x90051),f317(f317(f75(x90051),f317(f70(x90051),x90052)),f317(f70(x90051),x90053))),f317(f317(f75(x90051),x90054),x90055)))+~P2(f317(f317(f227(x90051),f317(f70(x90051),x90053)),x90055))
% 192.07/191.93 [9116]~P25(x91161,x91163,x91165,x91162)+~P2(f317(f29(x91163),x91164))+P2(f317(f317(f226(a903),f317(f30(x91161),x91162)),f317(f30(x91163),x91164)))+~P2(f317(f317(f226(f910(x91163,a898)),f317(f300(x91161,x91163,x91165),x91162)),x91164))
% 192.07/191.93 [9183]~P71(x91832)+~P25(x91831,x91831,x91834,x91835)+~P2(f317(f29(x91831),x91835))+E(f317(f317(f11(x91831,x91832),f317(f67(x91831,x91832,x91831,x91833),x91834)),x91835),f317(f317(f11(x91831,x91832),x91833),f317(f300(x91831,x91831,x91834),x91835)))
% 192.07/191.93 [9184]~P75(x91842)+~P25(x91841,x91841,x91844,x91845)+~P2(f317(f29(x91841),x91845))+E(f317(f317(f8(x91841,x91842),f317(f67(x91841,x91842,x91841,x91843),x91844)),x91845),f317(f317(f8(x91841,x91842),x91843),f317(f300(x91841,x91841,x91844),x91845)))
% 192.07/191.93 [9302]~P37(x93021,x93022)+~P2(f317(f317(f319(x93021),x93023),x93024))+~P2(f317(f317(f319(x93021),x93025),x93024))+~P2(f317(f317(f319(f909(x93021,x93021)),f317(f317(f242(x93021,x93021),x93025),f725(x93022,x93021,x93024))),x93022))
% 192.07/191.93 [9339]~P25(x93392,x93393,x93395,x93391)+E(x93391,f178(f910(x93392,a898)))+E(f317(f300(x93393,x93392,f609(x93394,x93393,x93392,x93391)),x93394),x93391)+~P2(f317(f317(f226(f910(x93393,a898)),f317(f300(x93392,x93393,x93395),x93391)),x93394))
% 192.07/191.93 [9835]~P108(x98355)+~P6(x98355)+P2(f317(f317(f319(x98351),f495(x98352,x98353,x98351,x98354,x98355)),x98353))+~P2(f317(f317(f227(x98355),x98354),f317(f317(f36(x98351,x98355),x98353),x98352)))
% 192.07/191.93 [9840]~P108(x98401)+~P6(x98401)+P2(f317(f317(f227(x98401),x98402),f317(x98403,f495(x98403,x98404,x98405,x98402,x98401))))+~P2(f317(f317(f227(x98401),x98402),f317(f317(f36(x98405,x98401),x98404),x98403)))
% 192.07/191.93 [9920]~P69(x99201)+~P2(f317(f61(x99201,x99201,f75(x99201),x99202,x99203),x99205))+P2(f317(f317(f319(x99201),x99202),x99203))+P2(f317(f61(x99201,x99201,f75(x99201),x99204,f317(f317(f299(x99201),x99202),x99203)),f317(f317(f75(x99201),x99204),x99205)))
% 192.07/191.93 [10133]~P71(x101332)+~P2(f317(f29(x101331),x101335))+E(f317(f317(f11(x101331,x101332),f317(f317(f9(x101331,x101332,x101332),f317(f317(f20(x101331,x101332,f910(x101332,x101332)),f317(f317(f10(a898,f910(x101332,f910(x101332,x101332)),x101331),f86(x101332)),f317(a314,x101333))),x101334)),f72(x101332))),x101335),f72(x101332))+P2(f317(f317(f319(x101331),x101333),x101335))
% 192.07/191.93 [10134]~P75(x101342)+~P2(f317(f29(x101341),x101345))+E(f317(f317(f8(x101341,x101342),f317(f317(f9(x101341,x101342,x101342),f317(f317(f20(x101341,x101342,f910(x101342,x101342)),f317(f317(f10(a898,f910(x101342,f910(x101342,x101342)),x101341),f86(x101342)),f317(a314,x101343))),x101344)),f2(x101342))),x101345),f2(x101342))+P2(f317(f317(f319(x101341),x101343),x101345))
% 192.07/191.93 [10135]~P71(x101352)+~P2(f317(f29(x101351),x101355))+E(f317(f317(f11(x101351,x101352),f317(f317(f9(x101351,x101352,x101352),f317(f317(f20(x101351,x101352,f910(x101352,x101352)),f317(f317(f10(a898,f910(x101352,f910(x101352,x101352)),x101351),f86(x101352)),f317(a314,x101353))),x101354)),f72(x101352))),x101355),f317(x101354,x101353))+~P2(f317(f317(f319(x101351),x101353),x101355))
% 192.07/191.93 [10136]~P75(x101362)+~P2(f317(f29(x101361),x101365))+E(f317(f317(f8(x101361,x101362),f317(f317(f9(x101361,x101362,x101362),f317(f317(f20(x101361,x101362,f910(x101362,x101362)),f317(f317(f10(a898,f910(x101362,f910(x101362,x101362)),x101361),f86(x101362)),f317(a314,x101363))),x101364)),f2(x101362))),x101365),f317(x101364,x101363))+~P2(f317(f317(f319(x101361),x101363),x101365))
% 192.07/191.93 [10193]~P71(x101932)+~P2(f317(f29(x101931),x101935))+E(f317(f317(f11(x101931,x101932),f317(f317(f9(x101931,x101932,x101932),f317(f317(f20(x101931,x101932,f910(x101932,x101932)),f317(f317(f10(a898,f910(x101932,f910(x101932,x101932)),x101931),f86(x101932)),f317(f317(f9(x101931,x101931,a898),a314),x101933))),x101934)),f72(x101932))),x101935),f72(x101932))+P2(f317(f317(f319(x101931),x101933),x101935))
% 192.07/191.93 [10194]~P75(x101942)+~P2(f317(f29(x101941),x101945))+E(f317(f317(f8(x101941,x101942),f317(f317(f9(x101941,x101942,x101942),f317(f317(f20(x101941,x101942,f910(x101942,x101942)),f317(f317(f10(a898,f910(x101942,f910(x101942,x101942)),x101941),f86(x101942)),f317(f317(f9(x101941,x101941,a898),a314),x101943))),x101944)),f2(x101942))),x101945),f2(x101942))+P2(f317(f317(f319(x101941),x101943),x101945))
% 192.07/191.93 [10196]~P71(x101962)+~P2(f317(f29(x101961),x101965))+E(f317(f317(f11(x101961,x101962),f317(f317(f9(x101961,x101962,x101962),f317(f317(f20(x101961,x101962,f910(x101962,x101962)),f317(f317(f10(a898,f910(x101962,f910(x101962,x101962)),x101961),f86(x101962)),f317(f317(f9(x101961,x101961,a898),a314),x101963))),x101964)),f72(x101962))),x101965),f317(x101964,x101963))+~P2(f317(f317(f319(x101961),x101963),x101965))
% 192.07/191.93 [10197]~P75(x101972)+~P2(f317(f29(x101971),x101975))+E(f317(f317(f8(x101971,x101972),f317(f317(f9(x101971,x101972,x101972),f317(f317(f20(x101971,x101972,f910(x101972,x101972)),f317(f317(f10(a898,f910(x101972,f910(x101972,x101972)),x101971),f86(x101972)),f317(f317(f9(x101971,x101971,a898),a314),x101973))),x101974)),f2(x101972))),x101975),f317(x101974,x101973))+~P2(f317(f317(f319(x101971),x101973),x101975))
% 192.07/191.93 [7952]~P68(x79522)+~P2(f317(f29(x79521),x79524))+E(f317(f317(f8(x79521,x79522),x79523),f317(f317(f3(f910(x79521,a898)),x79524),f317(f317(f299(x79521),x79525),f178(f910(x79521,a898))))),f317(f317(f8(x79521,x79522),x79523),x79524))+P2(f317(f317(f319(x79521),x79525),x79524))
% 192.07/191.93 [8455]~P128(x84552)+~P2(f317(f29(x84551),x84554))+E(f317(f317(f8(x84551,x84552),x84553),f317(f317(f3(f910(x84551,a898)),x84554),f317(f317(f299(x84551),x84555),f178(f910(x84551,a898))))),f317(f317(f3(x84552),f317(f317(f8(x84551,x84552),x84553),x84554)),f317(x84553,x84555)))+~P2(f317(f317(f319(x84551),x84555),x84554))
% 192.07/191.93 [8456]~P68(x84562)+~P2(f317(f29(x84561),x84564))+E(f317(f317(f8(x84561,x84562),x84563),f317(f317(f3(f910(x84561,a898)),x84564),f317(f317(f299(x84561),x84565),f178(f910(x84561,a898))))),f317(f317(f3(x84562),f317(f317(f8(x84561,x84562),x84563),x84564)),f317(x84563,x84565)))+~P2(f317(f317(f319(x84561),x84565),x84564))
% 192.07/191.93 [8468]~P118(x84681)+~P2(f317(f317(f226(a903),x84683),x84685))+~P2(f317(f317(f277(x84681),f317(f317(f234(x84681),x84682),x84685)),x84684))+P2(f317(f317(f277(x84681),f317(f317(f234(x84681),x84682),x84683)),x84684))
% 192.07/191.93 [8486]~P68(x84861)+~P2(f317(f29(x84862),x84864))+E(f317(f317(f3(x84861),f317(f317(f8(x84862,x84861),x84863),x84864)),f317(f317(f8(x84862,x84861),x84863),x84865)),f317(f317(f8(x84862,x84861),x84863),f317(f317(f3(f910(x84862,a898)),x84864),x84865)))+~P2(f317(f317(f226(f910(x84862,a898)),x84865),x84864))
% 192.07/191.93 [8505]P2(f317(f29(x85051),f317(x85052,x85053)))+~P2(f317(f29(x85054),x85055))+~P2(f317(f317(f319(x85054),x85053),x85055))+~P2(f317(f29(x85051),f317(f317(f36(x85054,f910(x85051,a898)),x85055),x85052)))
% 192.07/191.93 [8961]~P9(x89611,x89615,x89614)+~E(f317(f275(x89611,x89611,x89614),f317(f317(f299(x89611),x89612),f178(f910(x89611,a898)))),f317(f275(x89611,x89611,x89614),f317(f317(f299(x89611),x89613),f178(f910(x89611,a898)))))+~P2(f317(f317(f319(x89611),x89613),x89615))+P2(f317(f317(f319(f909(x89611,x89611)),f317(f317(f242(x89611,x89611),x89612),x89613)),x89614))
% 192.07/191.93 [9258]~P2(f317(x92581,x92585))+P2(f317(x92581,f357(x92581,x92582,x92583,x92584)))+P2(f317(x92581,f356(x92581,x92582,x92583,x92584)))+~P2(f317(f317(f319(x92584),x92585),f317(f317(f100(f910(x92584,a898)),x92583),x92582)))
% 192.07/191.93 [9447]~P2(f317(x94471,x94475))+P2(f317(x94471,f356(x94471,x94472,x94473,x94474)))+P2(f317(f317(f319(x94474),f357(x94471,x94472,x94473,x94474)),x94472))+~P2(f317(f317(f319(x94474),x94475),f317(f317(f100(f910(x94474,a898)),x94473),x94472)))
% 192.07/191.93 [9448]~P2(f317(x94481,x94485))+P2(f317(x94481,f357(x94481,x94482,x94483,x94484)))+P2(f317(f317(f319(x94484),f356(x94481,x94482,x94483,x94484)),x94483))+~P2(f317(f317(f319(x94484),x94485),f317(f317(f100(f910(x94484,a898)),x94483),x94482)))
% 192.07/191.93 [9452]P2(f317(x94521,x94522))+~P2(f317(x94521,f361(x94521,x94523,x94524,x94525)))+~P2(f317(x94521,f360(x94521,x94523,x94524,x94525)))+~P2(f317(f317(f319(x94525),x94522),f317(f317(f100(f910(x94525,a898)),x94524),x94523)))
% 192.07/191.93 [9457]~P38(x94571,x94574)+~P2(f317(f317(f319(f909(x94571,x94571)),f317(f317(f242(x94571,x94571),x94572),x94575)),x94574))+P2(f317(f317(f319(f909(x94571,x94571)),f317(f317(f242(x94571,x94571),x94572),x94573)),x94574))+~P2(f317(f317(f319(f909(x94571,x94571)),f317(f317(f242(x94571,x94571),x94575),x94573)),x94574))
% 192.07/191.93 [9496]E(x94961,x94962)+~P2(f317(f317(f319(f909(x94963,x94963)),f317(f317(f242(x94963,x94963),x94961),x94962)),f297(x94963,x94965)))+P2(f317(f317(f319(x94963),x94961),x94964))+~P2(f317(f317(f226(f910(f909(x94963,x94963),a898)),x94965),f317(f317(f244(x94963,x94963),x94964),f317(f18(f910(x94963,a898),x94963),x94964))))
% 192.07/191.93 [9514]P2(f317(x95141,x95142))+~P2(f317(x95141,f360(x95141,x95144,x95145,x95143)))+P2(f317(f317(f319(x95143),f361(x95141,x95144,x95145,x95143)),x95144))+~P2(f317(f317(f319(x95143),x95142),f317(f317(f100(f910(x95143,a898)),x95145),x95144)))
% 192.07/191.93 [9515]P2(f317(x95151,x95152))+~P2(f317(x95151,f361(x95151,x95154,x95155,x95153)))+P2(f317(f317(f319(x95153),f360(x95151,x95154,x95155,x95153)),x95155))+~P2(f317(f317(f319(x95153),x95152),f317(f317(f100(f910(x95153,a898)),x95155),x95154)))
% 192.07/191.93 [9583]P2(f317(x95831,x95832))+P2(f317(f317(f319(x95833),f361(x95831,x95834,x95835,x95833)),x95834))+P2(f317(f317(f319(x95833),f360(x95831,x95834,x95835,x95833)),x95835))+~P2(f317(f317(f319(x95833),x95832),f317(f317(f100(f910(x95833,a898)),x95835),x95834)))
% 192.07/191.93 [9585]~P2(f317(x95852,x95855))+P2(f317(f317(f319(x95851),f357(x95852,x95853,x95854,x95851)),x95853))+P2(f317(f317(f319(x95851),f356(x95852,x95853,x95854,x95851)),x95854))+~P2(f317(f317(f319(x95851),x95855),f317(f317(f100(f910(x95851,a898)),x95854),x95853)))
% 192.07/191.93 [9742]~P9(x97421,x97425,x97424)+~P2(f317(f317(f319(x97421),x97423),x97425))+P2(f317(f317(f319(f909(x97421,x97421)),f317(f317(f242(x97421,x97421),x97422),x97423)),x97424))+~P2(f317(f317(f226(f910(x97421,a898)),f317(f275(x97421,x97421,x97424),f317(f317(f299(x97421),x97423),f178(f910(x97421,a898))))),f317(f275(x97421,x97421,x97424),f317(f317(f299(x97421),x97422),f178(f910(x97421,a898))))))
% 192.07/191.93 [9870]~P108(x98705)+~P6(x98705)+P2(f317(f317(f319(x98701),f497(x98702,x98703,x98704,x98701,x98705)),x98704))+~P2(f317(f317(f227(x98705),f317(f317(f35(x98701,x98705),x98704),x98703)),x98702))
% 192.07/191.93 [9903]~P84(x99035)+~P82(x99035)+P2(f317(f317(f319(x99031),f614(x99032,x99033,x99034,x99031,x99035)),f317(f162(x99031),x99034)))+P2(f317(f317(f226(x99035),f317(f155(x99035),f317(f317(f144(x99031,x99035),x99033),x99034))),f317(f155(x99035),f317(f317(f144(x99031,x99035),x99032),x99034))))
% 192.07/191.93 [10011]~P108(x100111)+~P6(x100111)+P2(f317(f317(f227(x100111),f317(x100112,f497(x100113,x100112,x100114,x100115,x100111))),x100113))+~P2(f317(f317(f227(x100111),f317(f317(f35(x100115,x100111),x100114),x100112)),x100113))
% 192.07/191.93 [10151]~P84(x101511)+~P82(x101511)+~P2(f317(f317(f226(x101511),f317(x101513,f614(x101515,x101513,x101514,x101512,x101511))),f317(x101515,f614(x101515,x101513,x101514,x101512,x101511))))+P2(f317(f317(f226(x101511),f317(f155(x101511),f317(f317(f144(x101512,x101511),x101513),x101514))),f317(f155(x101511),f317(f317(f144(x101512,x101511),x101515),x101514))))
% 192.07/191.93 [8800]~P71(x88001)+~P2(f317(f29(x88004),x88005))+~P2(f317(f317(f319(x88004),x88003),x88005))+E(f317(f317(f75(x88001),f317(x88002,x88003)),f317(f317(f11(x88004,x88001),x88002),f317(f317(f3(f910(x88004,a898)),x88005),f317(f317(f299(x88004),x88003),f178(f910(x88004,a898)))))),f317(f317(f11(x88004,x88001),x88002),x88005))
% 192.07/191.93 [8802]~P75(x88021)+~P2(f317(f29(x88024),x88025))+~P2(f317(f317(f319(x88024),x88023),x88025))+E(f317(f317(f74(x88021),f317(x88022,x88023)),f317(f317(f8(x88024,x88021),x88022),f317(f317(f3(f910(x88024,a898)),x88025),f317(f317(f299(x88024),x88023),f178(f910(x88024,a898)))))),f317(f317(f8(x88024,x88021),x88022),x88025))
% 192.07/191.93 [8862]~P19(x88621,x88624,x88625)+~P2(f317(f29(x88621),x88622))+E(f317(f317(f3(f910(x88621,a898)),x88622),f317(f317(f299(x88621),x88623),f178(f910(x88621,a898)))),f178(f910(x88621,a898)))+E(f317(f317(x88624,x88623),f317(x88625,f317(f317(f3(f910(x88621,a898)),x88622),f317(f317(f299(x88621),x88623),f178(f910(x88621,a898)))))),f317(x88625,f317(f317(f299(x88621),x88623),x88622)))
% 192.07/191.93 [9237]~P71(x92371)+~P2(f317(f29(x92372),x92375))+~P2(f317(f29(x92372),x92374))+E(f317(f317(f75(x92371),f317(f317(f11(x92372,x92371),x92373),f317(f317(f100(f910(x92372,a898)),x92374),x92375))),f317(f317(f11(x92372,x92371),x92373),f317(f317(f91(f910(x92372,a898)),x92374),x92375))),f317(f317(f75(x92371),f317(f317(f11(x92372,x92371),x92373),x92374)),f317(f317(f11(x92372,x92371),x92373),x92375)))
% 192.07/191.93 [9238]~P75(x92381)+~P2(f317(f29(x92382),x92385))+~P2(f317(f29(x92382),x92384))+E(f317(f317(f74(x92381),f317(f317(f8(x92382,x92381),x92383),f317(f317(f100(f910(x92382,a898)),x92384),x92385))),f317(f317(f8(x92382,x92381),x92383),f317(f317(f91(f910(x92382,a898)),x92384),x92385))),f317(f317(f74(x92381),f317(f317(f8(x92382,x92381),x92383),x92384)),f317(f317(f8(x92382,x92381),x92383),x92385)))
% 192.07/191.93 [9379]~P68(x93791)+~P2(f317(f29(x93792),x93795))+~P2(f317(f29(x93792),x93794))+E(f317(f317(f3(x93791),f317(f317(f74(x93791),f317(f317(f8(x93792,x93791),x93793),x93794)),f317(f317(f8(x93792,x93791),x93793),x93795))),f317(f317(f8(x93792,x93791),x93793),f317(f317(f91(f910(x93792,a898)),x93794),x93795))),f317(f317(f8(x93792,x93791),x93793),f317(f317(f100(f910(x93792,a898)),x93794),x93795)))
% 192.07/191.93 [9599]~P25(x95991,x95992,x95993,x95995)+~P25(x95991,x95992,x95993,x95994)+P25(x95991,x95992,x95993,f317(f317(f100(f910(x95991,a898)),x95994),x95995))+~E(f317(f317(f91(f910(x95992,a898)),f317(f300(x95991,x95992,x95993),f317(f317(f3(f910(x95991,a898)),x95994),x95995))),f317(f300(x95991,x95992,x95993),f317(f317(f3(f910(x95991,a898)),x95995),x95994))),f178(f910(x95992,a898)))
% 192.07/191.93 [9717]E(x97171,f2(a1))+~P2(f317(f317(f227(a1),f2(a1)),x97173))+~P2(f317(f45(x97172,x97171),f317(f317(f242(a1,a1),x97174),x97175)))+P2(f317(f45(x97172,f317(f317(f75(a1),x97171),x97173)),f317(f317(f242(a1,a1),f317(f317(f31(a1),x97174),x97173)),f317(f317(f74(a1),f317(f317(f75(a1),x97171),f41(a1,x97174,x97173))),x97175))))
% 192.07/191.93 [9725]~P2(f317(f317(f227(a903),f2(a903)),x97253))+~P2(f317(f317(f227(a903),f2(a903)),x97252))+~P2(f317(f44(x97251,x97252),f317(f317(f242(a903,a903),x97254),x97255)))+P2(f317(f44(x97251,f317(f317(f75(a903),x97252),x97253)),f317(f317(f242(a903,a903),f317(f317(f31(a903),x97254),x97253)),f317(f317(f74(a903),f317(f317(f75(a903),x97252),f41(a903,x97254,x97253))),x97255))))
% 192.07/191.93 [9774]~P71(x97741)+~P2(f317(f29(x97742),x97745))+~P2(f317(f29(x97742),x97744))+E(f317(f317(f75(x97741),f317(f317(f317(f60(x97741,x97742,f75(x97741)),x97743),f72(x97741)),f317(f317(f100(f910(x97742,a898)),x97744),x97745))),f317(f317(f317(f60(x97741,x97742,f75(x97741)),x97743),f72(x97741)),f317(f317(f91(f910(x97742,a898)),x97744),x97745))),f317(f317(f75(x97741),f317(f317(f317(f60(x97741,x97742,f75(x97741)),x97743),f72(x97741)),x97744)),f317(f317(f317(f60(x97741,x97742,f75(x97741)),x97743),f72(x97741)),x97745)))
% 192.07/191.93 [9776]~E(f317(f317(f165(x97761),x97765),x97762),f317(f317(f165(x97761),x97765),x97763))+P2(f317(f317(f319(f909(f904(x97761),f904(x97761))),f317(f317(f242(f904(x97761),f904(x97761)),x97762),x97763)),f137(x97761,x97764)))+~P2(f317(f317(f227(a903),x97765),f317(f317(f224(a903),f317(f179(f904(x97761)),x97762)),f317(f179(f904(x97761)),x97763))))+~P2(f317(f317(f319(f909(x97761,x97761)),f317(f317(f242(x97761,x97761),f317(f317(f154(x97761),x97762),x97765)),f317(f317(f154(x97761),x97763),x97765))),x97764))
% 192.07/191.93 [9892]~P84(x98925)+~P145(x98925)+P2(f317(f317(f319(x98921),f410(x98922,x98923,x98924,x98921,x98925)),x98924))+P2(f317(f317(f226(x98925),f317(f317(f8(x98921,x98925),x98923),x98924)),f317(f317(f75(x98925),f317(f90(x98925),f317(f30(x98921),x98924))),x98922)))
% 192.07/191.93 [10069]~P84(x100691)+~P145(x100691)+~P2(f317(f317(f226(x100691),f317(x100693,f410(x100695,x100693,x100694,x100692,x100691))),x100695))+P2(f317(f317(f226(x100691),f317(f317(f8(x100692,x100691),x100693),x100694)),f317(f317(f75(x100691),f317(f90(x100691),f317(f30(x100692),x100694))),x100695)))
% 192.07/191.93 [8830]E(f317(f317(f124(x88301),x88302),x88303),f317(f317(f124(x88301),x88304),x88305))+~E(f317(f317(f165(x88301),f317(f179(f904(x88301)),x88302)),x88304),x88302)+~E(f317(f317(f124(x88301),f317(f317(f128(x88301),f317(f179(f904(x88301)),x88302)),x88304)),x88305),x88303)+P2(f317(f317(f226(a903),f317(f179(f904(x88301)),x88304)),f317(f179(f904(x88301)),x88302)))
% 192.07/191.93 [8960]E(f317(f317(f124(x89601),x89602),x89603),f317(f317(f124(x89601),x89604),x89605))+~E(f317(f317(f165(x89601),f317(f179(f904(x89601)),x89602)),x89604),x89602)+~E(x89603,f317(f317(f124(x89601),f317(f317(f128(x89601),f317(f179(f904(x89601)),x89602)),x89604)),x89605))+~P2(f317(f317(f226(a903),f317(f179(f904(x89601)),x89602)),f317(f179(f904(x89601)),x89604)))
% 192.07/191.93 [10214]~P2(f317(x102145,x102144))+~P2(f317(f29(x102142),f317(f252(x102142),x102145)))+P2(f317(f29(x102141),f317(f252(x102141),f317(f317(f9(x102141,x102142,a898),x102143),x102144))))+~P2(f317(f29(x102141),f317(f252(x102141),f317(f317(f10(f910(x102142,a898),a898,x102141),f81(x102142)),f317(f317(f10(f910(x102142,a898),f910(x102142,a898),x102141),f317(f20(x102142,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102142),a315),x102145))),x102143)))))
% 192.07/191.93 [10290]~P2(f317(f29(x102902),x102905))+~P2(f317(f317(f319(x102902),x102904),x102905))+P2(f317(f29(x102901),f317(f252(x102901),f317(f317(f9(x102901,x102902,a898),x102903),x102904))))+~P2(f317(f29(x102901),f317(f252(x102901),f317(f317(f10(f910(x102902,a898),a898,x102901),f81(x102902)),f317(f317(f10(f910(x102902,a898),f910(x102902,a898),x102901),f317(f20(x102902,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102902),a315),f317(f317(f9(x102902,f910(x102902,a898),a898),f319(x102902)),x102905)))),x102903)))))
% 192.07/191.93 [8616]~P20(x86165,x86161,x86166,x86162)+E(f317(f67(x86161,x86161,x86161,f317(x86162,x86163)),f317(x86162,x86164)),f317(f67(x86161,x86161,x86161,f317(x86162,x86164)),f317(x86162,x86163)))+~P2(f317(f29(x86165),x86164))+~P2(f317(f29(x86165),x86163))
% 192.07/191.93 [8008]~P25(x80081,x80082,x80084,x80083)+~E(f317(x80084,x80086),x80085)+E(f317(f71(x80081,x80082,x80083,x80084),x80085),x80086)+~P2(f317(f317(f319(x80081),x80086),x80083))
% 192.07/191.93 [8009]~P25(x80091,x80092,x80094,x80093)+~E(f317(x80094,x80096),x80095)+E(f317(f85(x80091,x80092,x80093,x80094),x80095),x80096)+~P2(f317(f317(f319(x80091),x80096),x80093))
% 192.07/191.93 [8202]~P21(x82026,x82021,x82024,x82022)+E(f317(f67(x82021,x82021,x82021,f317(x82022,x82023)),f317(x82024,x82025)),f317(x82022,x82023))+~P2(f317(f29(x82026),x82023))+~P2(f317(f317(f319(x82026),x82025),x82023))
% 192.07/191.93 [9330]E(x93301,x93302)+~E(f317(f85(x93303,x93304,x93305,x93306),x93301),f317(f85(x93303,x93304,x93305,x93306),x93302))+~P2(f317(f317(f319(x93304),x93302),f317(f300(x93303,x93304,x93306),x93305)))+~P2(f317(f317(f319(x93304),x93301),f317(f300(x93303,x93304,x93306),x93305)))
% 192.07/191.93 [9431]~P20(x94313,x94311,x94316,x94312)+E(f317(f67(x94311,x94311,x94311,f317(x94312,f317(f317(f3(f910(x94313,a898)),x94314),f317(f317(f299(x94313),x94315),f178(f910(x94313,a898)))))),f317(x94316,x94315)),f317(x94312,x94314))+~P2(f317(f29(x94313),x94314))+~P2(f317(f317(f319(x94313),x94315),x94314))
% 192.07/191.93 [7090]~P5(x70901)+~E(f41(x70901,x70903,x70904),f41(x70901,x70906,x70904))+~E(f41(x70901,x70902,x70904),f41(x70901,x70905,x70904))+E(f41(x70901,f317(f317(f3(x70901),x70902),x70903),x70904),f41(x70901,f317(f317(f3(x70901),x70905),x70906),x70904))
% 192.07/191.93 [7091]~P4(x70911)+~E(f41(x70911,x70913,x70914),f41(x70911,x70916,x70914))+~E(f41(x70911,x70912,x70914),f41(x70911,x70915,x70914))+E(f41(x70911,f317(f317(f75(x70911),x70912),x70913),x70914),f41(x70911,f317(f317(f75(x70911),x70915),x70916),x70914))
% 192.07/191.93 [7092]~P4(x70921)+~E(f41(x70921,x70923,x70924),f41(x70921,x70926,x70924))+~E(f41(x70921,x70922,x70924),f41(x70921,x70925,x70924))+E(f41(x70921,f317(f317(f74(x70921),x70922),x70923),x70924),f41(x70921,f317(f317(f74(x70921),x70925),x70926),x70924))
% 192.07/191.93 [7903]~P17(x79031,x79032,x79033)+~P2(f317(f29(x79031),x79036))+E(f317(f317(f59(x79031,x79032,x79033),x79034),f317(f317(f299(x79031),x79035),x79036)),f317(f317(f59(x79031,x79032,x79033),f317(f317(x79033,x79035),x79034)),x79036))+P2(f317(f317(f319(x79031),x79035),x79036))
% 192.07/191.93 [7967]~P6(x79671)+P2(f317(f317(f226(x79671),x79672),f317(x79673,x79674)))+~P2(f317(f317(f319(x79675),x79674),x79676))+~P2(f317(f317(f226(x79671),x79672),f317(f317(f35(x79675,x79671),x79676),x79673)))
% 192.07/191.93 [8124]~P17(x81241,x81242,x81243)+~P2(f317(f29(x81241),x81246))+E(f317(f317(f59(x81241,x81242,x81243),x81244),f317(f317(f299(x81241),x81245),x81246)),f317(f317(x81243,x81245),f317(f317(f59(x81241,x81242,x81243),x81244),x81246)))+P2(f317(f317(f319(x81241),x81245),x81246))
% 192.07/191.93 [8220]~P108(x82203)+~P2(f317(x82202,x82205))+~P14(x82203,f317(f317(f144(x82201,x82203),x82204),x82206))+E(f317(f126(x82201,x82202),f317(f317(f138(x82201,x82203,x82204),x82205),x82206)),f317(f317(f138(x82201,x82203,x82204),x82205),f317(f126(x82201,x82202),x82206)))
% 192.07/191.93 [8243]E(x82431,x82432)+E(x82433,f2(a1))+~P2(f317(f45(x82434,x82433),f317(f317(f242(a1,a1),x82435),x82432)))+~P2(f317(f45(x82434,x82433),f317(f317(f242(a1,a1),x82436),x82431)))
% 192.07/191.93 [8244]E(x82441,x82442)+E(x82443,f2(a1))+~P2(f317(f45(x82444,x82443),f317(f317(f242(a1,a1),x82442),x82445)))+~P2(f317(f45(x82444,x82443),f317(f317(f242(a1,a1),x82441),x82446)))
% 192.07/191.93 [8267]~P20(x82672,x82675,x82676,x82671)+~P2(f317(f29(x82672),x82674))+E(f317(x82671,f317(f317(f299(x82672),x82673),x82674)),f317(f67(x82675,x82675,x82675,f317(x82671,x82674)),f317(x82676,x82673)))+P2(f317(f317(f319(x82672),x82673),x82674))
% 192.07/191.93 [8489]~P21(x84895,x84891,x84896,x84892)+E(f317(f67(x84891,x84891,x84891,f317(x84892,x84893)),f317(x84892,x84894)),f317(x84892,x84893))+~P2(f317(f29(x84895),x84893))+~P2(f317(f317(f226(f910(x84895,a898)),x84894),x84893))
% 192.07/191.93 [9646]~P25(x96461,x96462,x96464,x96463)+~P2(f317(f317(f319(x96462),x96465),f317(f300(x96461,x96462,x96464),x96463)))+P2(f317(f317(f319(x96461),f317(f71(x96461,x96462,x96463,x96464),x96465)),x96466))+~P2(f317(f317(f226(f910(x96461,a898)),x96463),x96466))
% 192.07/191.93 [10022]~P75(x100222)+~E(f420(x100221,x100223,x100225,x100226,x100224,x100222),f421(x100221,x100223,x100225,x100226,x100224,x100222))+~P2(f317(f29(x100224),x100226))+E(f317(f317(f8(x100221,x100222),x100223),f317(f300(x100224,x100221,x100225),x100226)),f317(f317(f8(x100224,x100222),f317(f67(x100221,x100222,x100224,x100223),x100225)),x100226))
% 192.07/191.93 [10050]~P75(x100506)+E(f317(x100501,f420(x100502,x100503,x100501,x100504,x100505,x100506)),f317(x100501,f421(x100502,x100503,x100501,x100504,x100505,x100506)))+E(f317(f317(f8(x100502,x100506),x100503),f317(f300(x100505,x100502,x100501),x100504)),f317(f317(f8(x100505,x100506),f317(f67(x100502,x100506,x100505,x100503),x100501)),x100504))+~P2(f317(f29(x100505),x100504))
% 192.07/191.93 [10101]~P75(x101012)+~E(f317(x101013,f317(x101015,f421(x101011,x101013,x101015,x101016,x101014,x101012))),f2(x101012))+~P2(f317(f29(x101014),x101016))+E(f317(f317(f8(x101011,x101012),x101013),f317(f300(x101014,x101011,x101015),x101016)),f317(f317(f8(x101014,x101012),f317(f67(x101011,x101012,x101014,x101013),x101015)),x101016))
% 192.07/191.93 [10159]~P75(x101592)+~P2(f317(f29(x101594),x101596))+E(f317(f317(f8(x101591,x101592),x101593),f317(f300(x101594,x101591,x101595),x101596)),f317(f317(f8(x101594,x101592),f317(f67(x101591,x101592,x101594,x101593),x101595)),x101596))+P2(f317(f317(f319(x101594),f421(x101591,x101593,x101595,x101596,x101594,x101592)),x101596))
% 192.07/191.93 [10160]~P75(x101602)+~P2(f317(f29(x101604),x101606))+E(f317(f317(f8(x101601,x101602),x101603),f317(f300(x101604,x101601,x101605),x101606)),f317(f317(f8(x101604,x101602),f317(f67(x101601,x101602,x101604,x101603),x101605)),x101606))+P2(f317(f317(f319(x101604),f420(x101601,x101603,x101605,x101606,x101604,x101602)),x101606))
% 192.07/191.93 [10289]~P71(x102891)+~P2(f317(f29(x102892),x102896))+E(f317(f317(f317(f60(x102891,x102892,f75(x102891)),f317(f317(f20(x102892,f910(x102893,a898),x102891),f317(f317(f9(x102892,x102891,f910(f910(x102893,a898),x102891)),f317(f317(f10(f910(x102893,x102891),f910(x102891,f910(f910(x102893,a898),x102891)),x102892),f60(x102891,x102893,f75(x102891))),x102894)),f72(x102891))),x102895)),f72(x102891)),x102896),f317(f317(f317(f60(x102891,f909(x102892,x102893),f75(x102891)),f317(f247(x102892,x102893,x102891),x102894)),f72(x102891)),f317(f317(f244(x102892,x102893),x102896),x102895)))+P2(f317(f317(f319(x102892),f540(x102894,x102895,x102893,x102896,x102892,x102891)),x102896))
% 192.07/191.93 [10311]~P71(x103111)+~P2(f317(f29(x103112),x103116))+E(f317(f317(f317(f60(x103111,x103112,f75(x103111)),f317(f317(f20(x103112,f910(x103113,a898),x103111),f317(f317(f9(x103112,x103111,f910(f910(x103113,a898),x103111)),f317(f317(f10(f910(x103113,x103111),f910(x103111,f910(f910(x103113,a898),x103111)),x103112),f60(x103111,x103113,f75(x103111))),x103114)),f72(x103111))),x103115)),f72(x103111)),x103116),f317(f317(f317(f60(x103111,f909(x103112,x103113),f75(x103111)),f317(f247(x103112,x103113,x103111),x103114)),f72(x103111)),f317(f317(f244(x103112,x103113),x103116),x103115)))+~P2(f317(f29(x103113),f317(x103115,f540(x103114,x103115,x103113,x103116,x103112,x103111))))
% 192.07/191.93 [8399]~P21(x83992,x83995,x83996,x83991)+~P2(f317(f29(x83992),x83994))+~P2(f317(f29(x83992),x83993))+E(f317(x83991,f317(f317(f100(f910(x83992,a898)),x83993),x83994)),f317(f67(x83995,x83995,x83995,f317(x83991,x83993)),f317(x83991,x83994)))
% 192.07/191.93 [8617]~P6(x86171)+P2(f317(f317(f226(x86171),f317(x86172,x86173)),x86174))+~P2(f317(f317(f319(x86175),x86173),x86176))+~P2(f317(f317(f226(x86171),f317(f317(f36(x86175,x86171),x86176),x86172)),x86174))
% 192.07/191.93 [9046]~P25(x90462,x90461,x90463,x90466)+E(f317(f317(f3(f910(x90461,a898)),f317(f300(x90462,x90461,x90463),x90464)),f317(f300(x90462,x90461,x90463),x90465)),f317(f300(x90462,x90461,x90463),f317(f317(f3(f910(x90462,a898)),x90464),x90465)))+~P2(f317(f317(f226(f910(x90462,a898)),x90465),x90466))+~P2(f317(f317(f226(f910(x90462,a898)),x90464),x90466))
% 192.07/191.93 [9047]~P25(x90472,x90471,x90473,x90476)+E(f317(f317(f91(f910(x90471,a898)),f317(f300(x90472,x90471,x90473),x90474)),f317(f300(x90472,x90471,x90473),x90475)),f317(f300(x90472,x90471,x90473),f317(f317(f91(f910(x90472,a898)),x90474),x90475)))+~P2(f317(f317(f226(f910(x90472,a898)),x90475),x90476))+~P2(f317(f317(f226(f910(x90472,a898)),x90474),x90476))
% 192.07/191.93 [9304]E(x93041,x93042)+~P54(x93043,x93044,x93045)+~P2(f317(f317(f319(f909(x93043,x93044)),f317(f317(f242(x93043,x93044),x93046),x93042)),x93045))+~P2(f317(f317(f319(f909(x93043,x93044)),f317(f317(f242(x93043,x93044),x93046),x93041)),x93045))
% 192.07/191.93 [10097]~P69(x100971)+~E(f317(x100973,f678(x100974,x100976,x100973,x100975,x100972,x100971)),f317(x100976,f678(x100974,x100976,x100973,x100975,x100972,x100971)))+~P2(f317(f29(x100972),x100975))+E(f317(f317(f317(f60(x100971,x100972,f75(x100971)),x100973),x100974),x100975),f317(f317(f317(f60(x100971,x100972,f75(x100971)),x100976),x100974),x100975))
% 192.07/191.93 [10157]~P69(x101571)+~P2(f317(f29(x101572),x101575))+E(f317(f317(f317(f60(x101571,x101572,f75(x101571)),x101573),x101574),x101575),f317(f317(f317(f60(x101571,x101572,f75(x101571)),x101576),x101574),x101575))+P2(f317(f317(f319(x101572),f678(x101574,x101573,x101576,x101575,x101572,x101571)),x101575))
% 192.07/191.93 [8844]~P69(x88441)+~P2(f317(f29(x88442),x88446))+P2(f317(f317(f319(x88442),x88445),x88446))+E(f317(f317(f317(f60(x88441,x88442,f75(x88441)),x88443),x88444),f317(f317(f299(x88442),x88445),x88446)),f317(f317(f75(x88441),f317(x88443,x88445)),f317(f317(f317(f60(x88441,x88442,f75(x88441)),x88443),x88444),x88446)))
% 192.07/191.93 [8897]~P9(x88971,x88976,x88973)+~P12(x88971,f910(x88972,a898),x88973,x88975)+~P2(f317(f317(f319(x88971),x88974),x88976))+E(f317(f317(f36(x88971,f910(x88972,a898)),f317(f275(x88971,x88971,x88973),f317(f317(f299(x88971),x88974),f178(f910(x88971,a898))))),x88975),f317(x88975,x88974))
% 192.07/191.93 [9023]~P17(x90233,x90234,x90231)+~P2(f317(f29(x90233),x90236))+~P2(f317(f317(f319(x90233),x90232),x90236))+E(f317(f317(x90231,x90232),f317(f317(f59(x90233,x90234,x90231),x90235),f317(f317(f3(f910(x90233,a898)),x90236),f317(f317(f299(x90233),x90232),f178(f910(x90233,a898)))))),f317(f317(f59(x90233,x90234,x90231),x90235),x90236))
% 192.07/191.93 [9314]~P20(x93143,x93141,x93146,x93142)+~P2(f317(f29(x93143),x93145))+~P2(f317(f29(x93143),x93144))+E(f317(f67(x93141,x93141,x93141,f317(x93142,f317(f317(f100(f910(x93143,a898)),x93144),x93145))),f317(x93142,f317(f317(f91(f910(x93143,a898)),x93144),x93145))),f317(f67(x93141,x93141,x93141,f317(x93142,x93144)),f317(x93142,x93145)))
% 192.07/191.93 [9670]~E(x96703,f317(f317(f149(x96701,x96702),x96705),x96706))+P2(f317(f317(f319(f909(f904(x96701),f904(x96701))),f317(f317(f242(f904(x96701),f904(x96701)),x96702),x96703)),f147(x96701,x96704)))+~P2(f317(f317(f227(a903),x96705),f317(f179(f904(x96701)),x96702)))+~P2(f317(f317(f319(f909(x96701,x96701)),f317(f317(f242(x96701,x96701),f317(f317(f154(x96701),x96702),x96705)),x96706)),x96704))
% 192.07/191.93 [10173]~P71(x101732)+~P2(f317(f29(x101731),x101736))+P2(f317(f317(f319(x101731),f538(x101734,x101735,x101733,x101736,x101731,x101732)),x101736))+E(f317(f317(f11(x101731,x101732),f317(f317(f20(x101731,f910(x101733,a898),x101732),f317(f317(f10(f910(x101733,x101732),f910(f910(x101733,a898),x101732),x101731),f11(x101733,x101732)),x101734)),x101735)),x101736),f317(f317(f11(f909(x101731,x101733),x101732),f317(f247(x101731,x101733,x101732),x101734)),f317(f317(f244(x101731,x101733),x101736),x101735)))
% 192.07/191.93 [10174]~P75(x101742)+~P2(f317(f29(x101741),x101746))+P2(f317(f317(f319(x101741),f541(x101744,x101745,x101743,x101746,x101741,x101742)),x101746))+E(f317(f317(f8(x101741,x101742),f317(f317(f20(x101741,f910(x101743,a898),x101742),f317(f317(f10(f910(x101743,x101742),f910(f910(x101743,a898),x101742),x101741),f8(x101743,x101742)),x101744)),x101745)),x101746),f317(f317(f8(f909(x101741,x101743),x101742),f317(f247(x101741,x101743,x101742),x101744)),f317(f317(f244(x101741,x101743),x101746),x101745)))
% 192.07/191.93 [10212]~P71(x102122)+~P2(f317(f29(x102121),x102126))+~P2(f317(f29(x102123),f317(x102125,f538(x102124,x102125,x102123,x102126,x102121,x102122))))+E(f317(f317(f11(x102121,x102122),f317(f317(f20(x102121,f910(x102123,a898),x102122),f317(f317(f10(f910(x102123,x102122),f910(f910(x102123,a898),x102122),x102121),f11(x102123,x102122)),x102124)),x102125)),x102126),f317(f317(f11(f909(x102121,x102123),x102122),f317(f247(x102121,x102123,x102122),x102124)),f317(f317(f244(x102121,x102123),x102126),x102125)))
% 192.07/191.93 [10213]~P75(x102132)+~P2(f317(f29(x102131),x102136))+~P2(f317(f29(x102133),f317(x102135,f541(x102134,x102135,x102133,x102136,x102131,x102132))))+E(f317(f317(f8(x102131,x102132),f317(f317(f20(x102131,f910(x102133,a898),x102132),f317(f317(f10(f910(x102133,x102132),f910(f910(x102133,a898),x102132),x102131),f8(x102133,x102132)),x102134)),x102135)),x102136),f317(f317(f8(f909(x102131,x102133),x102132),f317(f247(x102131,x102133,x102132),x102134)),f317(f317(f244(x102131,x102133),x102136),x102135)))
% 192.07/191.93 [10195]~P71(x101952)+~P2(f317(f29(x101951),x101956))+P2(f317(f317(f319(x101951),x101953),x101956))+E(f317(f317(f11(x101951,x101952),f317(f317(f9(x101951,x101952,x101952),f317(f317(f20(x101951,x101952,f910(x101952,x101952)),f317(f317(f10(a898,f910(x101952,f910(x101952,x101952)),x101951),f86(x101952)),f317(f317(f9(x101951,x101951,a898),a314),x101953))),x101954)),x101955)),x101956),f317(f317(f234(x101952),x101955),f317(f30(x101951),x101956)))
% 192.07/191.93 [10198]~P71(x101982)+~P2(f317(f29(x101981),x101986))+~P2(f317(f317(f319(x101981),x101983),x101986))+E(f317(f317(f11(x101981,x101982),f317(f317(f9(x101981,x101982,x101982),f317(f317(f20(x101981,x101982,f910(x101982,x101982)),f317(f317(f10(a898,f910(x101982,f910(x101982,x101982)),x101981),f86(x101982)),f317(f317(f9(x101981,x101981,a898),a314),x101983))),x101984)),x101985)),x101986),f317(f317(f75(x101982),f317(x101984,x101983)),f317(f317(f234(x101982),x101985),f317(f317(f3(a903),f317(f30(x101981),x101986)),f72(a903)))))
% 192.07/191.93 [10276]~P2(f317(f29(x102761),x102765))+~P2(f317(f29(x102762),x102763))+P2(f317(f317(f319(x102762),f539(x102766,x102764,x102763,x102762,x102765,x102761)),x102763))+E(f317(f317(f8(x102761,a903),f317(f317(f10(f910(x102762,a898),a903,x102761),f30(x102762)),f317(f317(f10(f910(x102762,a898),f910(x102762,a898),x102761),f252(x102762)),f317(f317(f10(f910(x102762,a898),f910(x102762,a898),x102761),f317(f20(x102762,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102762),a315),f317(f317(f9(x102762,f910(x102762,a898),a898),f319(x102762)),x102763)))),x102764)))),x102765),f317(f317(f75(a903),x102766),f317(f30(x102762),x102763)))
% 192.07/191.93 [10277]~P2(f317(f29(x102771),x102775))+~P2(f317(f29(x102772),x102773))+P2(f317(f317(f319(x102772),f544(x102776,x102774,x102773,x102772,x102775,x102771)),x102773))+E(f317(f317(f8(x102771,a903),f317(f317(f10(f910(x102772,a898),a903,x102771),f30(x102772)),f317(f317(f10(f910(x102772,a898),f910(x102772,a898),x102771),f252(x102772)),f317(f317(f10(f910(x102772,a898),f910(x102772,a898),x102771),f317(f20(x102772,a898,a898),f317(f317(f10(a898,f910(a898,a898),x102772),a315),f317(f317(f9(x102772,f910(x102772,a898),a898),f319(x102772)),x102773)))),x102774)))),x102775),f317(f317(f8(x102772,a903),x102776),x102773))
% 192.07/191.93 [10324]~P2(f317(f29(x103242),x103243))+~P2(f317(f29(x103241),x103245))+~E(f317(f30(x103241),f317(f252(x103241),f317(f317(f20(x103241,a898,a898),f317(f317(f10(a898,f910(a898,a898),x103241),a315),f317(f317(f9(x103241,f910(x103241,a898),a898),f319(x103241)),x103245))),f317(f317(f9(x103241,x103242,a898),x103244),f539(x103246,x103244,x103243,x103242,x103245,x103241))))),x103246)+E(f317(f317(f8(x103241,a903),f317(f317(f10(f910(x103242,a898),a903,x103241),f30(x103242)),f317(f317(f10(f910(x103242,a898),f910(x103242,a898),x103241),f252(x103242)),f317(f317(f10(f910(x103242,a898),f910(x103242,a898),x103241),f317(f20(x103242,a898,a898),f317(f317(f10(a898,f910(a898,a898),x103242),a315),f317(f317(f9(x103242,f910(x103242,a898),a898),f319(x103242)),x103243)))),x103244)))),x103245),f317(f317(f75(a903),x103246),f317(f30(x103242),x103243)))
% 192.07/191.93 [10326]~P2(f317(f29(x103262),x103263))+~P2(f317(f29(x103261),x103265))+~E(f317(f30(x103261),f317(f252(x103261),f317(f317(f20(x103261,a898,a898),f317(f317(f10(a898,f910(a898,a898),x103261),a315),f317(f317(f9(x103261,f910(x103261,a898),a898),f319(x103261)),x103265))),f317(f317(f9(x103261,x103262,a898),x103264),f544(x103266,x103264,x103263,x103262,x103265,x103261))))),f317(x103266,f544(x103266,x103264,x103263,x103262,x103265,x103261)))+E(f317(f317(f8(x103261,a903),f317(f317(f10(f910(x103262,a898),a903,x103261),f30(x103262)),f317(f317(f10(f910(x103262,a898),f910(x103262,a898),x103261),f252(x103262)),f317(f317(f10(f910(x103262,a898),f910(x103262,a898),x103261),f317(f20(x103262,a898,a898),f317(f317(f10(a898,f910(a898,a898),x103262),a315),f317(f317(f9(x103262,f910(x103262,a898),a898),f319(x103262)),x103263)))),x103264)))),x103265),f317(f317(f8(x103262,a903),x103266),x103263))
% 192.07/191.93 [9948]E(x99481,x99482)+~P17(x99483,x99484,x99485)+~P2(f317(f61(x99483,x99484,x99485,x99486,x99487),x99482))+~P2(f317(f61(x99483,x99484,x99485,x99486,x99487),x99481))
% 192.07/191.93 [9746]P2(f317(x97461,x97462))+~P2(f317(f317(f319(x97467),x97462),f317(x97466,x97464)))+~P2(f317(x97461,f492(x97461,x97466,x97465,x97463,x97467)))+~P2(f317(f317(f319(x97463),x97464),x97465))
% 192.07/191.93 [10187]~P17(x101877,x101876,x101871)+E(f317(f317(x101871,x101872),f543(x101872,x101873,x101874,x101875,x101871,x101876,x101877)),x101873)+~P2(f317(f61(x101877,x101876,x101871,x101875,x101874),x101873))+~P2(f317(f317(f319(x101877),x101872),x101874))
% 192.07/191.93 [10254]~P17(x102541,x102542,x102543)+~P2(f317(f61(x102541,x102542,x102543,x102544,x102545),x102547))+P2(f317(f61(x102541,x102542,x102543,x102544,f317(f317(f3(f910(x102541,a898)),x102545),f317(f317(f299(x102541),x102546),f178(f910(x102541,a898))))),f543(x102546,x102547,x102545,x102544,x102543,x102542,x102541)))+~P2(f317(f317(f319(x102541),x102546),x102545))
% 192.07/191.93 [9386]P26(x93861,x93862,x93863,x93864,x93865)+~P26(x93861,x93862,x93863,x93866,x93867)+~E(f317(f300(x93861,x93862,x93863),x93864),x93865)+~P2(f317(f317(f226(f910(x93861,a898)),x93864),x93866))
% 192.07/191.93 [9637]~P26(x96371,x96372,x96373,x96375,x96377)+~P26(x96371,x96372,x96373,x96374,x96376)+P26(x96371,x96372,x96373,f317(f317(f100(f910(x96371,a898)),x96374),x96375),f317(f317(f100(f910(x96372,a898)),x96376),x96377))+~E(f317(f317(f91(f910(x96372,a898)),x96376),x96377),f178(f910(x96372,a898)))
% 192.07/191.93 [9642]~P69(x96421)+~P25(x96425,x96422,x96426,x96427)+~P2(f317(f29(x96425),x96427))+E(f317(f317(f317(f60(x96421,x96422,f75(x96421)),x96423),x96424),f317(f300(x96425,x96422,x96426),x96427)),f317(f317(f317(f60(x96421,x96425,f75(x96421)),f317(f67(x96422,x96421,x96425,x96423),x96426)),x96424),x96427))
% 192.07/191.93 [9769]~E(f317(f317(f299(x97691),x97695),x97696),f317(f317(f299(x97691),x97692),x97693))+~P2(f317(f61(x97691,x97691,x97694,x97692,x97693),x97697))+P2(f317(f317(f319(x97691),x97692),x97693))+P2(f317(f57(x97691,x97694,f317(f317(f299(x97691),x97695),x97696)),x97697))
% 192.07/191.93 [9853]P2(f317(x98531,x98532))+~P2(f317(f317(f319(x98533),x98532),f317(x98534,x98537)))+~P2(f317(f317(f319(x98536),x98537),x98535))+P2(f317(f317(f319(x98533),f492(x98531,x98534,x98535,x98536,x98533)),f317(f317(f36(x98536,f910(x98533,a898)),x98535),x98534)))
% 192.07/191.93 [9871]~P25(x98712,x98711,x98715,x98714)+~P25(x98711,x98713,x98716,f317(f300(x98712,x98711,x98715),x98714))+E(f317(f317(f67(x98711,x98712,x98713,f71(x98712,x98711,x98714,x98715)),f71(x98711,x98713,f317(f300(x98712,x98711,x98715),x98714),x98716)),x98717),f317(f71(x98712,x98713,x98714,f317(f67(x98711,x98713,x98712,x98716),x98715)),x98717))+~P2(f317(f317(f319(x98713),x98717),f317(f300(x98711,x98713,x98716),f317(f300(x98712,x98711,x98715),x98714))))
% 192.07/191.93 [9872]~P25(x98722,x98721,x98725,x98724)+~P25(x98721,x98723,x98726,f317(f300(x98722,x98721,x98725),x98724))+E(f317(f317(f67(x98721,x98722,x98723,f85(x98722,x98721,x98724,x98725)),f85(x98721,x98723,f317(f300(x98722,x98721,x98725),x98724),x98726)),x98727),f317(f85(x98722,x98723,x98724,f317(f67(x98721,x98723,x98722,x98726),x98725)),x98727))+~P2(f317(f317(f319(x98723),x98727),f317(f300(x98721,x98723,x98726),f317(f300(x98722,x98721,x98725),x98724))))
% 192.07/191.93 [10188]~P17(x101887,x101886,x101881)+E(f317(f317(x101881,x101882),f559(x101883,x101884,x101882,x101885,x101881,x101886,x101887)),x101883)+P2(f317(f317(f319(x101887),x101882),x101884))+~P2(f317(f61(x101887,x101886,x101881,x101885,f317(f317(f299(x101887),x101882),x101884)),x101883))
% 192.07/191.93 [10253]~P17(x102531,x102534,x102535)+P2(f317(f61(x102531,x102534,x102535,x102536,x102533),f559(x102537,x102533,x102532,x102536,x102535,x102534,x102531)))+P2(f317(f317(f319(x102531),x102532),x102533))+~P2(f317(f61(x102531,x102534,x102535,x102536,f317(f317(f299(x102531),x102532),x102533)),x102537))
% 192.07/191.93 [9930]E(x99301,f2(a1))+~P2(f317(f45(x99303,x99301),f317(f317(f242(a1,a1),x99305),x99307)))+~P2(f317(f45(x99302,x99301),f317(f317(f242(a1,a1),x99304),x99306)))+P2(f317(f45(f317(f317(f74(a1),x99302),x99303),x99301),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f74(a1),x99304),x99305)),f317(f317(f31(a1),f317(f317(f74(a1),x99306),x99307)),x99301))),f41(a1,f317(f317(f74(a1),x99306),x99307),x99301))))
% 192.07/191.93 [9932]~P2(f317(f317(f227(a903),f2(a903)),x99323))+~P2(f317(f44(x99322,x99323),f317(f317(f242(a903,a903),x99325),x99327)))+~P2(f317(f44(x99321,x99323),f317(f317(f242(a903,a903),x99324),x99326)))+P2(f317(f44(f317(f317(f74(a903),x99321),x99322),x99323),f317(f317(f242(a903,a903),f317(f317(f74(a903),f317(f317(f74(a903),x99324),x99325)),f317(f317(f31(a903),f317(f317(f74(a903),x99326),x99327)),x99323))),f41(a903,f317(f317(f74(a903),x99326),x99327),x99323))))
% 192.07/191.93 [10323]~P75(x103232)+~P2(f317(f29(x103233),x103235))+~P2(f317(f29(x103231),x103237))+E(f317(f317(f8(x103231,x103232),f317(f317(f20(x103231,f910(x103233,a898),x103232),f317(f317(f10(f910(x103233,x103232),f910(f910(x103233,a898),x103232),x103231),f8(x103233,x103232)),x103234)),f317(f317(f10(f910(x103233,a898),f910(x103233,a898),x103231),f252(x103233)),f317(f317(f10(f910(x103233,a898),f910(x103233,a898),x103231),f317(f20(x103233,a898,a898),f317(f317(f10(a898,f910(a898,a898),x103233),a315),f317(f317(f9(x103233,f910(x103233,a898),a898),f319(x103233)),x103235)))),x103236)))),x103237),f317(f317(f8(x103233,x103232),f317(f317(f20(x103233,f910(x103231,a898),x103232),f317(f317(f10(f910(x103231,x103232),f910(f910(x103231,a898),x103232),x103233),f8(x103231,x103232)),f317(f9(x103231,x103233,x103232),x103234))),f317(f317(f10(f910(x103231,a898),f910(x103231,a898),x103233),f252(x103231)),f317(f317(f10(f910(x103231,a898),f910(x103231,a898),x103233),f317(f20(x103231,a898,a898),f317(f317(f10(a898,f910(a898,a898),x103231),a315),f317(f317(f9(x103231,f910(x103231,a898),a898),f319(x103231)),x103237)))),f317(f9(x103231,x103233,a898),x103236))))),x103235))
% 192.07/191.93 [10274]~P22(x102748,x102747,x102746,x102745,x102741)+~E(f317(x102742,f845(x102744,x102742,x102743,x102741,x102745,x102746,x102747)),f317(x102744,f845(x102744,x102742,x102743,x102741,x102745,x102746,x102747)))+E(f317(f317(x102741,x102742),x102743),f317(f317(x102741,x102744),x102743))+~P2(f317(f29(x102747),x102743))
% 192.07/191.93 [9805]~P23(x98057,x98056,x98051,x98058,x98052,x98054)+E(f317(f317(x98051,f317(x98052,x98053)),f317(x98054,x98055)),f317(x98054,x98055))+~P2(f317(f29(x98056),x98055))+~P2(f317(f317(f319(x98056),x98053),x98055))
% 192.07/191.93 [9809]~P13(x98096,x98091,x98092,x98098,x98093,x98094)+~P9(x98096,x98097,x98098)+P12(x98091,x98092,x98093,f317(x98094,x98095))+~P2(f317(f317(f319(x98096),x98095),x98097))
% 192.07/191.93 [10296]~P22(x102968,x102965,x102967,x102966,x102961)+E(f317(f317(x102961,x102962),x102963),f317(f317(x102961,x102964),x102963))+~P2(f317(f29(x102965),x102963))+P2(f317(f317(f319(x102965),f845(x102962,x102964,x102963,x102961,x102966,x102967,x102965)),x102963))
% 192.07/191.93 [10373]~P2(f317(f317(x103731,x103736),x103735))+P2(f317(f317(x103731,f826(x103731,x103734,x103735,x103736,x103733,x103732,x103737,x103738)),f835(x103731,x103734,x103735,x103736,x103733,x103732,x103737,x103738)))+P2(f317(f317(x103731,x103732),x103733))+~P2(f317(f317(f319(f909(f909(x103738,x103737),f909(x103738,x103737))),f317(f317(f242(f909(x103738,x103737),f909(x103738,x103737)),f317(f317(f242(x103738,x103737),x103732),x103733)),f317(f317(f242(x103738,x103737),x103736),x103735))),f297(f909(x103738,x103737),x103734)))
% 192.07/191.93 [10374]~P2(f317(f317(x103741,x103746),x103745))+P2(f317(f317(x103741,f827(x103741,x103744,x103743,x103742,x103745,x103746,x103747,x103748)),f828(x103741,x103744,x103743,x103742,x103745,x103746,x103747,x103748)))+P2(f317(f317(x103741,x103742),x103743))+~P2(f317(f317(f319(f909(f909(x103748,x103747),f909(x103748,x103747))),f317(f317(f242(f909(x103748,x103747),f909(x103748,x103747)),f317(f317(f242(x103748,x103747),x103746),x103745)),f317(f317(f242(x103748,x103747),x103742),x103743))),f297(f909(x103748,x103747),x103744)))
% 192.07/191.93 [10384]~P2(f317(f317(x103841,f829(x103841,x103846,x103845,x103844,x103843,x103842,x103847,x103848)),f834(x103841,x103846,x103845,x103844,x103843,x103842,x103847,x103848)))+P2(f317(f317(x103841,x103842),x103843))+~P2(f317(f317(x103841,x103844),x103845))+~P2(f317(f317(f319(f909(f909(x103848,x103847),f909(x103848,x103847))),f317(f317(f242(f909(x103848,x103847),f909(x103848,x103847)),f317(f317(f242(x103848,x103847),x103842),x103843)),f317(f317(f242(x103848,x103847),x103844),x103845))),f297(f909(x103848,x103847),x103846)))
% 192.07/191.93 [10385]~P2(f317(f317(x103851,f830(x103851,x103856,x103853,x103852,x103855,x103854,x103857,x103858)),f831(x103851,x103856,x103853,x103852,x103855,x103854,x103857,x103858)))+P2(f317(f317(x103851,x103852),x103853))+~P2(f317(f317(x103851,x103854),x103855))+~P2(f317(f317(f319(f909(f909(x103858,x103857),f909(x103858,x103857))),f317(f317(f242(f909(x103858,x103857),f909(x103858,x103857)),f317(f317(f242(x103858,x103857),x103854),x103855)),f317(f317(f242(x103858,x103857),x103852),x103853))),f297(f909(x103858,x103857),x103856)))
% 192.07/191.93 [10398]~P2(f317(f317(x103981,x103986),x103987))+P2(f317(f317(x103981,x103982),x103983))+P2(f317(f317(f319(f909(f909(x103984,x103985),f909(x103984,x103985))),f317(f317(f242(f909(x103984,x103985),f909(x103984,x103985)),f317(f317(f242(x103984,x103985),x103986),x103987)),f317(f317(f242(x103984,x103985),f827(x103981,x103988,x103983,x103982,x103987,x103986,x103985,x103984)),f828(x103981,x103988,x103983,x103982,x103987,x103986,x103985,x103984)))),f297(f909(x103984,x103985),x103988)))+~P2(f317(f317(f319(f909(f909(x103984,x103985),f909(x103984,x103985))),f317(f317(f242(f909(x103984,x103985),f909(x103984,x103985)),f317(f317(f242(x103984,x103985),x103986),x103987)),f317(f317(f242(x103984,x103985),x103982),x103983))),f297(f909(x103984,x103985),x103988)))
% 192.07/191.93 [10400]~P2(f317(f317(x104001,x104008),x104007))+P2(f317(f317(x104001,x104002),x104003))+P2(f317(f317(f319(f909(f909(x104004,x104005),f909(x104004,x104005))),f317(f317(f242(f909(x104004,x104005),f909(x104004,x104005)),f317(f317(f242(x104004,x104005),f826(x104001,x104006,x104007,x104008,x104003,x104002,x104005,x104004)),f835(x104001,x104006,x104007,x104008,x104003,x104002,x104005,x104004))),f317(f317(f242(x104004,x104005),x104008),x104007))),f297(f909(x104004,x104005),x104006)))+~P2(f317(f317(f319(f909(f909(x104004,x104005),f909(x104004,x104005))),f317(f317(f242(f909(x104004,x104005),f909(x104004,x104005)),f317(f317(f242(x104004,x104005),x104002),x104003)),f317(f317(f242(x104004,x104005),x104008),x104007))),f297(f909(x104004,x104005),x104006)))
% 192.07/191.93 [9414]~P20(x94147,x94141,x94148,x94143)+~P2(f317(f29(x94147),x94145))+~P2(f317(f29(x94147),x94144))+E(f317(f67(x94141,x94141,x94142,f317(x94143,x94144)),f317(f67(x94141,x94141,x94142,f317(x94143,x94145)),x94146)),f317(f67(x94141,x94141,x94142,f317(x94143,x94145)),f317(f67(x94141,x94141,x94142,f317(x94143,x94144)),x94146)))
% 192.07/191.93 [9423]~P34(x94231,x94232,x94233,x94234,x94237)+P34(x94231,x94232,x94233,f317(f317(f149(x94231,x94234),x94235),x94236),f317(f317(f149(x94232,x94237),x94235),x94238))+~P2(f317(f317(x94233,x94236),x94238))+~P2(f317(f317(f227(a903),x94235),f317(f179(f904(x94231)),x94234)))
% 192.07/191.93 [9424]~P34(x94241,x94242,x94243,x94244,x94247)+P34(x94241,x94242,x94243,f317(f317(f149(x94241,x94244),x94245),x94246),f317(f317(f149(x94242,x94247),x94245),x94248))+~P2(f317(f317(x94243,x94246),x94248))+~P2(f317(f317(f227(a903),x94245),f317(f179(f904(x94242)),x94247)))
% 192.07/191.93 [9503]~P25(x95032,x95032,x95035,x95036)+~P22(x95033,x95032,x95037,x95038,x95031)+~P2(f317(f29(x95032),x95036))+E(f317(f317(x95031,f317(f67(x95032,x95033,x95032,x95034),x95035)),x95036),f317(f317(x95031,x95034),f317(f300(x95032,x95032,x95035),x95036)))
% 192.07/191.93 [9770]P26(x97701,x97702,x97703,x97704,x97705)+~P26(x97702,x97706,x97707,x97705,x97708)+~P26(x97701,x97706,f317(f67(x97702,x97706,x97701,x97707),x97703),x97704,x97708)+~P2(f317(f317(f226(f910(x97702,a898)),f317(f300(x97701,x97702,x97703),x97704)),x97705))
% 192.07/191.93 [9807]~P24(x98077,x98072,x98075,x98078,x98076,x98071)+~P2(f317(f29(x98072),x98074))+E(f317(x98071,f317(f317(f299(x98072),x98073),x98074)),f317(f317(x98075,f317(x98076,x98073)),f317(x98071,x98074)))+P2(f317(f317(f319(x98072),x98073),x98074))
% 192.07/191.93 [9818]~P23(x98186,x98185,x98181,x98187,x98188,x98182)+E(f317(f317(x98181,f317(x98182,x98183)),f317(x98182,x98184)),f317(x98182,x98184))+~P2(f317(f29(x98185),x98184))+~P2(f317(f317(f226(f910(x98185,a898)),x98183),x98184))
% 192.07/191.93 [9401]P2(f317(f317(f319(f909(f904(x94011),f904(x94011))),f317(f317(f242(f904(x94011),f904(x94011)),x94012),x94013)),f147(x94011,x94014)))+~E(x94013,f317(f317(f124(x94011),x94015),f317(f317(f141(x94011),x94016),x94017)))+~E(x94012,f317(f317(f124(x94011),x94015),f317(f317(f141(x94011),x94018),x94017)))+~P2(f317(f317(f319(f909(x94011,x94011)),f317(f317(f242(x94011,x94011),x94018),x94016)),x94014))
% 192.07/191.93 [9812]~P23(x98126,x98122,x98125,x98127,x98128,x98121)+~P2(f317(f29(x98122),x98124))+~P2(f317(f29(x98122),x98123))+E(f317(x98121,f317(f317(f100(f910(x98122,a898)),x98123),x98124)),f317(f317(x98125,f317(x98121,x98123)),f317(x98121,x98124)))
% 192.07/191.93 [10363]~P25(x103634,x103632,x103635,x103638)+E(f317(f317(f35(x103631,f910(x103632,a898)),x103633),f317(f317(f10(f910(x103634,a898),f910(x103632,a898),x103631),f300(x103634,x103632,x103635)),x103636)),f317(f300(x103634,x103632,x103635),f317(f317(f35(x103631,f910(x103634,a898)),x103633),x103636)))+~P2(f317(f317(f319(x103631),x103637),x103633))+P2(f317(f317(f319(x103631),f507(x103637,x103636,x103633,x103631,x103638,x103635,x103632,x103634)),x103633))
% 192.07/191.93 [10389]~P25(x103894,x103892,x103895,x103897)+E(f317(f317(f35(x103891,f910(x103892,a898)),x103893),f317(f317(f10(f910(x103894,a898),f910(x103892,a898),x103891),f300(x103894,x103892,x103895)),x103896)),f317(f300(x103894,x103892,x103895),f317(f317(f35(x103891,f910(x103894,a898)),x103893),x103896)))+~P2(f317(f317(f319(x103891),x103898),x103893))+~P2(f317(f317(f226(f910(x103894,a898)),f317(x103896,f507(x103898,x103896,x103893,x103891,x103897,x103895,x103892,x103894))),x103897))
% 192.07/191.93 [10401]~P2(f317(f317(x104011,x104018),x104017))+P2(f317(f317(x104011,x104012),x104013))+~P2(f317(f317(f319(f909(f909(x104014,x104015),f909(x104014,x104015))),f317(f317(f242(f909(x104014,x104015),f909(x104014,x104015)),f317(f317(f242(x104014,x104015),x104012),x104013)),f317(f317(f242(x104014,x104015),x104018),x104017))),f297(f909(x104014,x104015),x104016)))+P2(f317(f317(f319(f909(f909(x104014,x104015),f909(x104014,x104015))),f317(f317(f242(f909(x104014,x104015),f909(x104014,x104015)),f317(f317(f242(x104014,x104015),f829(x104011,x104016,x104017,x104018,x104013,x104012,x104015,x104014)),f834(x104011,x104016,x104017,x104018,x104013,x104012,x104015,x104014))),f317(f317(f242(x104014,x104015),f826(x104011,x104016,x104017,x104018,x104013,x104012,x104015,x104014)),f835(x104011,x104016,x104017,x104018,x104013,x104012,x104015,x104014)))),x104016))
% 192.07/191.93 [10402]~P2(f317(f317(x104021,x104028),x104027))+P2(f317(f317(x104021,x104022),x104023))+~P2(f317(f317(f319(f909(f909(x104024,x104025),f909(x104024,x104025))),f317(f317(f242(f909(x104024,x104025),f909(x104024,x104025)),f317(f317(f242(x104024,x104025),x104028),x104027)),f317(f317(f242(x104024,x104025),x104022),x104023))),f297(f909(x104024,x104025),x104026)))+P2(f317(f317(f319(f909(f909(x104024,x104025),f909(x104024,x104025))),f317(f317(f242(f909(x104024,x104025),f909(x104024,x104025)),f317(f317(f242(x104024,x104025),f827(x104021,x104026,x104023,x104022,x104027,x104028,x104025,x104024)),f828(x104021,x104026,x104023,x104022,x104027,x104028,x104025,x104024))),f317(f317(f242(x104024,x104025),f830(x104021,x104026,x104023,x104022,x104027,x104028,x104025,x104024)),f831(x104021,x104026,x104023,x104022,x104027,x104028,x104025,x104024)))),x104026))
% 192.07/191.93 [9881]~P24(x98817,x98815,x98811,x98818,x98812,x98814)+~P2(f317(f29(x98815),x98816))+~P2(f317(f317(f319(x98815),x98813),x98816))+E(f317(f317(x98811,f317(x98812,x98813)),f317(x98814,f317(f317(f3(f910(x98815,a898)),x98816),f317(f317(f299(x98815),x98813),f178(f910(x98815,a898)))))),f317(x98814,x98816))
% 192.07/191.93 [9890]~P24(x98906,x98903,x98901,x98907,x98908,x98902)+~P2(f317(f29(x98903),x98905))+~P2(f317(f29(x98903),x98904))+E(f317(f317(x98901,f317(x98902,f317(f317(f100(f910(x98903,a898)),x98904),x98905))),f317(x98902,f317(f317(f91(f910(x98903,a898)),x98904),x98905))),f317(f317(x98901,f317(x98902,x98904)),f317(x98902,x98905)))
% 192.07/191.93 [9972]P42(x99721,x99722,x99723,x99724,x99725,f317(f317(x99723,x99726),x99727))+~P42(x99721,x99722,x99723,x99724,f317(f317(f3(f910(x99721,a898)),x99725),f317(f317(f299(x99721),x99728),f178(f910(x99721,a898)))),x99729)+~E(f317(f317(x99723,x99726),x99727),f317(f317(x99723,x99728),x99729))+~P2(f317(f317(f319(x99721),x99728),x99725))
% 192.07/191.93 [9914]~P13(x99146,x99147,x99148,x99149,x991410,x99141)+E(f317(f317(x99141,x99142),x99143),f317(f317(x99141,x99144),x99145))+~P2(f317(f317(f319(f909(x99147,x99147)),f317(f317(f242(x99147,x99147),x99143),x99145)),x991410))+~P2(f317(f317(f319(f909(x99146,x99146)),f317(f317(f242(x99146,x99146),x99142),x99144)),x99149))
% 192.07/191.93 [9505]~P102(x95052)+E(x95051,f178(f910(x95052,a898)))+~P2(f317(f29(x95052),x95051))+P2(f317(f317(f319(x95052),f12(x95052,x95051)),x95051))+~P2(f317(f317(f319(x95052),f317(f317(f100(x95052),f369(x95051,x95052)),f370(x95051,x95052))),f317(f317(f299(x95052),f369(x95051,x95052)),f317(f317(f299(x95052),f370(x95051,x95052)),f178(f910(x95052,a898))))))
% 192.07/191.93 [9506]~P102(x95062)+E(x95061,f178(f910(x95062,a898)))+~P2(f317(f29(x95062),x95061))+P2(f317(f317(f319(x95062),f13(x95062,x95061)),x95061))+~P2(f317(f317(f319(x95062),f317(f317(f91(x95062),f397(x95061,x95062)),f398(x95061,x95062))),f317(f317(f299(x95062),f397(x95061,x95062)),f317(f317(f299(x95062),f398(x95061,x95062)),f178(f910(x95062,a898))))))
% 192.07/191.93 [9539]~P69(x95392)+E(x95391,f178(f910(x95392,a898)))+~P2(f317(f29(x95392),x95391))+P2(f317(f317(f319(x95392),f317(f58(x95392,f75(x95392)),x95391)),x95391))+~P2(f317(f317(f319(x95392),f317(f317(f75(x95392),f635(x95391,x95392)),f643(x95391,x95392))),f317(f317(f299(x95392),f635(x95391,x95392)),f317(f317(f299(x95392),f643(x95391,x95392)),f178(f910(x95392,a898))))))
% 192.07/191.93 [9544]~P108(x95442)+E(x95441,f178(f910(x95442,a898)))+~P2(f317(f29(x95442),x95441))+P2(f317(f317(f319(x95442),f14(x95442,f224(x95442),x95441)),x95441))+~P2(f317(f317(f319(x95442),f317(f317(f224(x95442),f443(x95441,x95442)),f444(x95441,x95442))),f317(f317(f299(x95442),f443(x95441,x95442)),f317(f317(f299(x95442),f444(x95441,x95442)),f178(f910(x95442,a898))))))
% 192.07/191.93 [9545]~P108(x95452)+E(x95451,f178(f910(x95452,a898)))+~P2(f317(f29(x95452),x95451))+P2(f317(f317(f319(x95452),f15(x95452,f225(x95452),x95451)),x95451))+~P2(f317(f317(f319(x95452),f317(f317(f225(x95452),f453(x95451,x95452)),f454(x95451,x95452))),f317(f317(f299(x95452),f453(x95451,x95452)),f317(f317(f299(x95452),f454(x95451,x95452)),f178(f910(x95452,a898))))))
% 192.07/191.93 [6643]~P88(x66432)+E(x66431,f2(x66432))+~E(f317(f317(f74(x66432),x66433),x66431),f2(x66432))+~P2(f317(f317(f226(x66432),f2(x66432)),x66433))+~P2(f317(f317(f226(x66432),f2(x66432)),x66431))
% 192.07/191.93 [6644]~P88(x66442)+E(x66441,f2(x66442))+~E(f317(f317(f74(x66442),x66441),x66443),f2(x66442))+~P2(f317(f317(f226(x66442),f2(x66442)),x66443))+~P2(f317(f317(f226(x66442),f2(x66442)),x66441))
% 192.07/191.93 [7189]~P108(x71892)+~P14(x71892,x71891)+E(x71891,f103(x71892))+~P2(f317(f317(f319(x71892),x71893),f317(f162(x71892),f628(x71891,x71892))))+P2(f317(f317(f226(x71892),f647(x71891,x71892)),x71893))
% 192.07/191.93 [7358]~P108(x73581)+E(f16(x73581,x73582),x73583)+~P2(f317(f29(x73581),x73582))+~P2(f317(f317(f226(x73581),x73583),f435(x73583,x73582,x73581)))+~P2(f317(f317(f319(x73581),x73583),x73582))
% 192.07/191.93 [7391]~P108(x73911)+~P14(x73911,x73912)+~P14(x73911,x73913)+P14(x73911,f317(f317(f124(x73911),x73912),x73913))+P2(f317(f317(f319(x73911),f634(x73913,x73912,x73911)),f317(f162(x73911),x73912)))
% 192.07/191.93 [7392]~P108(x73921)+~P14(x73921,x73922)+~P14(x73921,x73923)+P14(x73921,f317(f317(f124(x73921),x73922),x73923))+P2(f317(f317(f319(x73921),f636(x73923,x73922,x73921)),f317(f162(x73921),x73923)))
% 192.07/191.93 [7455]~P108(x74551)+E(f16(x74551,x74552),x74553)+~P2(f317(f29(x74551),x74552))+P2(f317(f317(f319(x74551),f435(x74553,x74552,x74551)),x74552))+~P2(f317(f317(f319(x74551),x74553),x74552))
% 192.07/191.93 [7456]~P108(x74561)+E(f17(x74561,x74562),x74563)+~P2(f317(f29(x74561),x74562))+P2(f317(f317(f319(x74561),f449(x74563,x74562,x74561)),x74562))+~P2(f317(f317(f319(x74561),x74563),x74562))
% 192.07/191.93 [8028]~P108(x80281)+E(f17(x80281,x80282),x80283)+~P2(f317(f29(x80281),x80282))+~P2(f317(f317(f319(x80281),x80283),x80282))+~P2(f317(f317(f226(x80281),f449(x80283,x80282,x80281)),x80283))
% 192.07/191.93 [8346]~P108(x83461)+~P14(x83461,x83462)+~P14(x83461,x83463)+P14(x83461,f317(f317(f124(x83461),x83462),x83463))+~P2(f317(f317(f226(x83461),f634(x83463,x83462,x83461)),f636(x83463,x83462,x83461)))
% 192.07/191.93 [9139]~P102(x91392)+E(x91391,f178(f910(x91392,a898)))+~E(f317(f317(f100(x91392),f317(x91393,f367(x91391,x91393,x91392))),f317(x91393,f372(x91391,x91393,x91392))),f317(x91393,f317(f317(f100(x91392),f367(x91391,x91393,x91392)),f372(x91391,x91393,x91392))))+E(f12(x91392,f317(f300(x91392,x91392,x91393),x91391)),f317(x91393,f12(x91392,x91391)))+~P2(f317(f29(x91392),x91391))
% 192.07/191.93 [9140]~P102(x91402)+E(x91401,f178(f910(x91402,a898)))+~E(f317(f317(f91(x91402),f317(x91403,f396(x91401,x91403,x91402))),f317(x91403,f399(x91401,x91403,x91402))),f317(x91403,f317(f317(f91(x91402),f396(x91401,x91403,x91402)),f399(x91401,x91403,x91402))))+E(f13(x91402,f317(f300(x91402,x91402,x91403),x91401)),f317(x91403,f13(x91402,x91401)))+~P2(f317(f29(x91402),x91401))
% 192.07/191.93 [9141]~P108(x91412)+E(x91411,f178(f910(x91412,a898)))+~E(f317(f317(f224(x91412),f317(x91413,f440(x91411,x91413,x91412))),f317(x91413,f447(x91411,x91413,x91412))),f317(x91413,f317(f317(f224(x91412),f440(x91411,x91413,x91412)),f447(x91411,x91413,x91412))))+E(f16(x91412,f317(f300(x91412,x91412,x91413),x91411)),f317(x91413,f16(x91412,x91411)))+~P2(f317(f29(x91412),x91411))
% 192.07/191.93 [9142]~P108(x91422)+E(x91421,f178(f910(x91422,a898)))+~E(f317(f317(f225(x91422),f317(x91423,f459(x91421,x91423,x91422))),f317(x91423,f460(x91421,x91423,x91422))),f317(x91423,f317(f317(f225(x91422),f459(x91421,x91423,x91422)),f460(x91421,x91423,x91422))))+E(f17(x91422,f317(f300(x91422,x91422,x91423),x91421)),f317(x91423,f17(x91422,x91421)))+~P2(f317(f29(x91422),x91421))
% 192.07/191.93 [9210]~P108(x92102)+E(x92101,f178(f910(x92102,a898)))+~E(f317(f317(f224(x92102),f317(x92103,f441(x92101,x92103,x92102))),f317(x92103,f446(x92101,x92103,x92102))),f317(x92103,f317(f317(f224(x92102),f441(x92101,x92103,x92102)),f446(x92101,x92103,x92102))))+E(f14(x92102,f224(x92102),f317(f300(x92102,x92102,x92103),x92101)),f317(x92103,f14(x92102,f224(x92102),x92101)))+~P2(f317(f29(x92102),x92101))
% 192.07/191.93 [9211]~P108(x92112)+E(x92111,f178(f910(x92112,a898)))+~E(f317(f317(f225(x92112),f317(x92113,f450(x92111,x92113,x92112))),f317(x92113,f455(x92111,x92113,x92112))),f317(x92113,f317(f317(f225(x92112),f450(x92111,x92113,x92112)),f455(x92111,x92113,x92112))))+E(f15(x92112,f225(x92112),f317(f300(x92112,x92112,x92113),x92111)),f317(x92113,f15(x92112,f225(x92112),x92111)))+~P2(f317(f29(x92112),x92111))
% 192.07/191.93 [6660]~P69(x66602)+E(x66601,f178(f910(x66602,a898)))+~P2(f317(f29(x66602),x66601))+E(f317(f58(x66602,f75(x66602)),f317(f317(f299(x66602),x66603),x66601)),f317(f317(f75(x66602),x66603),f317(f58(x66602,f75(x66602)),x66601)))+P2(f317(f317(f319(x66602),x66603),x66601))
% 192.07/191.93 [7195]~P102(x71952)+E(f317(f317(f100(x71952),f12(x71952,x71951)),f12(x71952,x71953)),f12(x71952,x71953))+E(x71951,f178(f910(x71952,a898)))+~P2(f317(f29(x71952),x71953))+~P2(f317(f317(f226(f910(x71952,a898)),x71951),x71953))
% 192.07/191.93 [7196]~P102(x71962)+E(f317(f317(f91(x71962),f13(x71962,x71961)),f13(x71962,x71963)),f13(x71962,x71963))+E(x71961,f178(f910(x71962,a898)))+~P2(f317(f29(x71962),x71963))+~P2(f317(f317(f226(f910(x71962,a898)),x71961),x71963))
% 192.07/191.93 [7197]~P108(x71972)+E(f317(f317(f224(x71972),f16(x71972,x71971)),f16(x71972,x71973)),f16(x71972,x71973))+E(x71971,f178(f910(x71972,a898)))+~P2(f317(f29(x71972),x71973))+~P2(f317(f317(f226(f910(x71972,a898)),x71971),x71973))
% 192.07/191.93 [7198]~P108(x71982)+E(f317(f317(f225(x71982),f17(x71982,x71981)),f17(x71982,x71983)),f17(x71982,x71983))+E(x71981,f178(f910(x71982,a898)))+~P2(f317(f29(x71982),x71983))+~P2(f317(f317(f226(f910(x71982,a898)),x71981),x71983))
% 192.07/191.93 [7503]~P108(x75032)+E(x75031,f178(f910(x75032,a898)))+~P2(f317(f29(x75032),x75033))+P2(f317(f317(f226(x75032),f16(x75032,x75033)),f16(x75032,x75031)))+~P2(f317(f317(f226(f910(x75032,a898)),x75031),x75033))
% 192.07/191.93 [7504]~P108(x75042)+E(x75041,f178(f910(x75042,a898)))+~P2(f317(f29(x75042),x75043))+P2(f317(f317(f226(x75042),f17(x75042,x75041)),f17(x75042,x75043)))+~P2(f317(f317(f226(f910(x75042,a898)),x75041),x75043))
% 192.07/191.93 [7558]~P102(x75581)+E(f12(x75581,x75582),x75583)+~P2(f317(f29(x75581),x75582))+~E(f317(f317(f3(f910(x75581,a898)),x75582),f317(f317(f299(x75581),x75583),f178(f910(x75581,a898)))),f178(f910(x75581,a898)))+~P2(f317(f317(f319(x75581),x75583),x75582))
% 192.07/191.93 [7559]~P102(x75591)+E(f13(x75591,x75592),x75593)+~P2(f317(f29(x75591),x75592))+~E(f317(f317(f3(f910(x75591,a898)),x75592),f317(f317(f299(x75591),x75593),f178(f910(x75591,a898)))),f178(f910(x75591,a898)))+~P2(f317(f317(f319(x75591),x75593),x75592))
% 192.07/191.93 [7560]~P108(x75601)+E(f16(x75601,x75602),x75603)+~P2(f317(f29(x75601),x75602))+~E(f317(f317(f3(f910(x75601,a898)),x75602),f317(f317(f299(x75601),x75603),f178(f910(x75601,a898)))),f178(f910(x75601,a898)))+~P2(f317(f317(f319(x75601),x75603),x75602))
% 192.07/191.93 [7561]~P108(x75611)+E(f17(x75611,x75612),x75613)+~P2(f317(f29(x75611),x75612))+~E(f317(f317(f3(f910(x75611,a898)),x75612),f317(f317(f299(x75611),x75613),f178(f910(x75611,a898)))),f178(f910(x75611,a898)))+~P2(f317(f317(f319(x75611),x75613),x75612))
% 192.07/191.93 [7656]~P108(x76561)+E(f14(x76561,f224(x76561),x76562),x76563)+~P2(f317(f29(x76561),x76562))+~E(f317(f317(f3(f910(x76561,a898)),x76562),f317(f317(f299(x76561),x76563),f178(f910(x76561,a898)))),f178(f910(x76561,a898)))+~P2(f317(f317(f319(x76561),x76563),x76562))
% 192.07/191.93 [7657]~P108(x76571)+E(f15(x76571,f225(x76571),x76572),x76573)+~P2(f317(f29(x76571),x76572))+~E(f317(f317(f3(f910(x76571,a898)),x76572),f317(f317(f299(x76571),x76573),f178(f910(x76571,a898)))),f178(f910(x76571,a898)))+~P2(f317(f317(f319(x76571),x76573),x76572))
% 192.07/191.93 [7692]~P104(x76922)+E(x76921,f178(f910(x76922,a898)))+~P2(f317(f29(x76922),x76921))+~P2(f317(f317(f226(x76922),x76923),f381(x76923,x76921,x76922)))+P2(f317(f317(f226(x76922),x76923),f317(f58(x76922,f91(x76922)),x76921)))
% 192.07/191.93 [7693]~P108(x76932)+E(x76931,f178(f910(x76932,a898)))+~P2(f317(f29(x76932),x76931))+~P2(f317(f317(f226(x76932),x76933),f436(x76933,x76931,x76932)))+P2(f317(f317(f226(x76932),x76933),f317(f58(x76932,f224(x76932)),x76931)))
% 192.07/191.93 [7694]~P108(x76942)+E(x76941,f178(f910(x76942,a898)))+~P2(f317(f29(x76942),x76941))+~P2(f317(f317(f227(x76942),x76943),f437(x76943,x76941,x76942)))+P2(f317(f317(f227(x76942),x76943),f317(f58(x76942,f224(x76942)),x76941)))
% 192.07/191.93 [7781]~P104(x77812)+E(x77811,f178(f910(x77812,a898)))+~P2(f317(f29(x77812),x77811))+P2(f317(f317(f319(x77812),f381(x77813,x77811,x77812)),x77811))+P2(f317(f317(f226(x77812),x77813),f317(f58(x77812,f91(x77812)),x77811)))
% 192.07/191.93 [7782]~P108(x77822)+E(x77821,f178(f910(x77822,a898)))+~P2(f317(f29(x77822),x77821))+P2(f317(f317(f319(x77822),f436(x77823,x77821,x77822)),x77821))+P2(f317(f317(f226(x77822),x77823),f317(f58(x77822,f224(x77822)),x77821)))
% 192.07/191.93 [7783]~P108(x77832)+E(x77831,f178(f910(x77832,a898)))+~P2(f317(f29(x77832),x77831))+P2(f317(f317(f319(x77832),f437(x77833,x77831,x77832)),x77831))+P2(f317(f317(f227(x77832),x77833),f317(f58(x77832,f224(x77832)),x77831)))
% 192.07/191.93 [7905]~P108(x79052)+E(x79051,f178(f910(x79052,a898)))+E(f317(f317(f224(x79052),f14(x79052,f224(x79052),x79051)),f14(x79052,f224(x79052),x79053)),f14(x79052,f224(x79052),x79053))+~P2(f317(f29(x79052),x79053))+~P2(f317(f317(f226(f910(x79052,a898)),x79051),x79053))
% 192.07/191.93 [7906]~P108(x79062)+E(x79061,f178(f910(x79062,a898)))+E(f317(f317(f225(x79062),f15(x79062,f225(x79062),x79061)),f15(x79062,f225(x79062),x79063)),f15(x79062,f225(x79062),x79063))+~P2(f317(f29(x79062),x79063))+~P2(f317(f317(f226(f910(x79062,a898)),x79061),x79063))
% 192.07/191.93 [8105]~E(f393(x81051,x81053,x81052),f394(x81051,x81053,x81052))+~E(f317(f30(x81052),f395(x81051,x81053,x81052)),x81051)+E(f317(f317(f75(a903),x81051),f317(f30(f910(x81052,a898)),x81053)),f317(f30(x81052),f32(f910(x81052,a898),x81053)))+~P2(f317(f29(x81052),f32(f910(x81052,a898),x81053)))+~P2(f317(f29(f910(x81052,a898)),x81053))
% 192.07/191.93 [8286]~P108(x82862)+E(x82861,f178(f910(x82862,a898)))+~P2(f317(f29(x82862),x82863))+P2(f317(f317(f226(x82862),f317(f58(x82862,f224(x82862)),x82863)),f317(f58(x82862,f224(x82862)),x82861)))+~P2(f317(f317(f226(f910(x82862,a898)),x82861),x82863))
% 192.07/191.93 [8587]~E(f393(x85871,x85873,x85872),f394(x85871,x85873,x85872))+E(f317(f317(f75(a903),x85871),f317(f30(f910(x85872,a898)),x85873)),f317(f30(x85872),f32(f910(x85872,a898),x85873)))+P2(f317(f317(f319(f910(x85872,a898)),f395(x85871,x85873,x85872)),x85873))+~P2(f317(f29(x85872),f32(f910(x85872,a898),x85873)))+~P2(f317(f29(f910(x85872,a898)),x85873))
% 192.07/191.93 [8613]~E(f317(f30(x86132),f395(x86131,x86133,x86132)),x86131)+E(f317(f317(f75(a903),x86131),f317(f30(f910(x86132,a898)),x86133)),f317(f30(x86132),f32(f910(x86132,a898),x86133)))+P2(f317(f317(f319(f910(x86132,a898)),f394(x86131,x86133,x86132)),x86133))+~P2(f317(f29(x86132),f32(f910(x86132,a898),x86133)))+~P2(f317(f29(f910(x86132,a898)),x86133))
% 192.07/191.93 [8614]~E(f317(f30(x86142),f395(x86141,x86143,x86142)),x86141)+E(f317(f317(f75(a903),x86141),f317(f30(f910(x86142,a898)),x86143)),f317(f30(x86142),f32(f910(x86142,a898),x86143)))+P2(f317(f317(f319(f910(x86142,a898)),f393(x86141,x86143,x86142)),x86143))+~P2(f317(f29(x86142),f32(f910(x86142,a898),x86143)))+~P2(f317(f29(f910(x86142,a898)),x86143))
% 192.07/191.93 [8639]~E(f317(f30(x86392),f395(x86391,x86393,x86392)),x86391)+~E(f317(f317(f91(f910(x86392,a898)),f394(x86391,x86393,x86392)),f393(x86391,x86393,x86392)),f178(f910(x86392,a898)))+E(f317(f317(f75(a903),x86391),f317(f30(f910(x86392,a898)),x86393)),f317(f30(x86392),f32(f910(x86392,a898),x86393)))+~P2(f317(f29(f910(x86392,a898)),x86393))+~P2(f317(f29(x86392),f32(f910(x86392,a898),x86393)))
% 192.07/191.93 [8903]E(f317(f317(f75(a903),x89031),f317(f30(f910(x89032,a898)),x89033)),f317(f30(x89032),f32(f910(x89032,a898),x89033)))+P2(f317(f317(f319(f910(x89032,a898)),f395(x89031,x89033,x89032)),x89033))+P2(f317(f317(f319(f910(x89032,a898)),f394(x89031,x89033,x89032)),x89033))+~P2(f317(f29(f910(x89032,a898)),x89033))+~P2(f317(f29(x89032),f32(f910(x89032,a898),x89033)))
% 192.07/191.93 [8904]E(f317(f317(f75(a903),x89041),f317(f30(f910(x89042,a898)),x89043)),f317(f30(x89042),f32(f910(x89042,a898),x89043)))+P2(f317(f317(f319(f910(x89042,a898)),f395(x89041,x89043,x89042)),x89043))+P2(f317(f317(f319(f910(x89042,a898)),f393(x89041,x89043,x89042)),x89043))+~P2(f317(f29(f910(x89042,a898)),x89043))+~P2(f317(f29(x89042),f32(f910(x89042,a898),x89043)))
% 192.07/191.93 [8930]~E(f317(f317(f91(f910(x89302,a898)),f394(x89301,x89303,x89302)),f393(x89301,x89303,x89302)),f178(f910(x89302,a898)))+E(f317(f317(f75(a903),x89301),f317(f30(f910(x89302,a898)),x89303)),f317(f30(x89302),f32(f910(x89302,a898),x89303)))+~P2(f317(f29(f910(x89302,a898)),x89303))+P2(f317(f317(f319(f910(x89302,a898)),f395(x89301,x89303,x89302)),x89303))+~P2(f317(f29(x89302),f32(f910(x89302,a898),x89303)))
% 192.07/191.93 [9185]~P97(x91852)+E(x91851,f178(f910(x91852,a898)))+~E(f317(f317(f75(x91852),f317(x91853,f653(x91851,x91853,x91852))),f317(x91853,f669(x91851,x91853,x91852))),f317(x91853,f317(f317(f75(x91852),f653(x91851,x91853,x91852)),f669(x91851,x91853,x91852))))+~P2(f317(f29(x91852),x91851))+E(f317(f58(x91852,f75(x91852)),f317(f300(x91852,x91852,x91853),x91851)),f317(x91853,f317(f58(x91852,f75(x91852)),x91851)))
% 192.07/191.93 [10131]P2(f317(f317(x101311,x101312),x101313))+P2(f317(f317(f227(a1),f472(x101311,x101313,x101312)),f473(x101311,x101313,x101312)))+P2(f317(f317(f226(a1),f473(x101311,x101313,x101312)),f2(a1)))+P2(f317(f317(x101311,f472(x101311,x101313,x101312)),f317(f317(f75(a1),f317(f93(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)))),f473(x101311,x101313,x101312))))+~P2(f317(f305(f909(a1,a1),a54),f317(f317(f242(a1,a1),x101312),x101313)))
% 192.07/191.93 [10137]P2(f317(f317(x101371,x101372),x101373))+P2(f317(f317(f226(a1),f471(x101371,x101373,x101372)),f2(a1)))+P2(f317(f317(x101371,f466(x101371,x101373,x101372)),f317(f317(f75(a1),f317(f93(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)))),f471(x101371,x101373,x101372))))+P2(f317(f317(f226(a1),f2(a1)),f317(f317(f74(a1),f466(x101371,x101373,x101372)),f471(x101371,x101373,x101372))))+~P2(f317(f305(f909(a1,a1),a48),f317(f317(f242(a1,a1),x101372),x101373)))
% 192.07/191.93 [8077]~P117(x80771)+~P2(f317(f317(f226(x80771),x80772),f72(x80771)))+~P2(f317(f317(f226(x80771),f2(x80771)),x80772))+~P2(f317(f317(f226(x80771),f2(x80771)),x80773))+P2(f317(f317(f226(x80771),f317(f317(f75(x80771),x80772),x80773)),x80773))
% 192.07/191.93 [8078]~P117(x80781)+~P2(f317(f317(f226(x80781),x80783),f72(x80781)))+~P2(f317(f317(f226(x80781),f2(x80781)),x80783))+~P2(f317(f317(f226(x80781),f2(x80781)),x80782))+P2(f317(f317(f226(x80781),f317(f317(f75(x80781),x80782),x80783)),x80782))
% 192.07/191.93 [8432]~P108(x84322)+E(x84321,f178(f910(x84322,a898)))+~P2(f317(f29(x84322),x84321))+P2(f317(f317(f319(x84322),f432(x84323,x84321,x84322)),x84321))+~P2(f317(f317(f226(x84322),f317(f58(x84322,f224(x84322)),x84321)),x84323))
% 192.07/191.93 [8433]~P108(x84332)+E(x84331,f178(f910(x84332,a898)))+~P2(f317(f29(x84332),x84331))+P2(f317(f317(f319(x84332),f438(x84333,x84331,x84332)),x84331))+~P2(f317(f317(f227(x84332),f317(f58(x84332,f224(x84332)),x84331)),x84333))
% 192.07/191.93 [8434]~P108(x84342)+E(x84341,f178(f910(x84342,a898)))+~P2(f317(f29(x84342),x84341))+P2(f317(f317(f226(x84342),f432(x84343,x84341,x84342)),x84343))+~P2(f317(f317(f226(x84342),f317(f58(x84342,f224(x84342)),x84341)),x84343))
% 192.07/191.93 [8435]~P108(x84352)+E(x84351,f178(f910(x84352,a898)))+~P2(f317(f29(x84352),x84351))+P2(f317(f317(f227(x84352),f438(x84353,x84351,x84352)),x84353))+~P2(f317(f317(f227(x84352),f317(f58(x84352,f224(x84352)),x84351)),x84353))
% 192.07/191.93 [8522]~P2(f317(x85221,x85223))+P2(f317(x85221,f348(x85221,x85222)))+P2(f317(x85221,f343(x85221,x85222)))+~P2(f317(f317(f227(a1),f2(a1)),x85222))+P2(f317(x85221,f317(f317(f3(a1),f343(x85221,x85222)),f317(f317(f75(a1),f349(x85221,x85222)),x85222))))
% 192.07/191.93 [8740]~P2(f317(x87401,x87403))+P2(f317(x87401,f343(x87401,x87402)))+~P2(f317(f317(f227(a1),f2(a1)),x87402))+P2(f317(f317(f319(a1),f348(x87401,x87402)),f293(a1,f72(a1),x87402)))+P2(f317(x87401,f317(f317(f3(a1),f343(x87401,x87402)),f317(f317(f75(a1),f349(x87401,x87402)),x87402))))
% 192.07/191.93 [8952]~P2(f317(x89521,x89523))+~P2(f317(x89521,f343(x89521,x89522)))+P2(f317(x89521,f348(x89521,x89522)))+~P2(f317(f317(f227(a1),f2(a1)),x89522))+~P2(f317(x89521,f317(f317(f3(a1),f343(x89521,x89522)),f317(f317(f75(a1),f349(x89521,x89522)),x89522))))
% 192.07/191.93 [9076]~P2(f317(x90761,x90763))+~P2(f317(x90761,f343(x90761,x90762)))+~P2(f317(f317(f227(a1),f2(a1)),x90762))+P2(f317(f317(f319(a1),f348(x90761,x90762)),f293(a1,f72(a1),x90762)))+~P2(f317(x90761,f317(f317(f3(a1),f343(x90761,x90762)),f317(f317(f75(a1),f349(x90761,x90762)),x90762))))
% 192.07/191.93 [8858]~P102(x88581)+~P2(f317(f29(x88581),x88582))+E(f317(f317(f3(f910(x88581,a898)),x88582),f317(f317(f299(x88581),x88583),f178(f910(x88581,a898)))),f178(f910(x88581,a898)))+~P2(f317(f317(f319(x88581),x88583),x88582))+E(f317(f317(f100(x88581),x88583),f12(x88581,f317(f317(f3(f910(x88581,a898)),x88582),f317(f317(f299(x88581),x88583),f178(f910(x88581,a898)))))),f12(x88581,x88582))
% 192.07/191.93 [8859]~P102(x88591)+~P2(f317(f29(x88591),x88592))+E(f317(f317(f3(f910(x88591,a898)),x88592),f317(f317(f299(x88591),x88593),f178(f910(x88591,a898)))),f178(f910(x88591,a898)))+~P2(f317(f317(f319(x88591),x88593),x88592))+E(f317(f317(f91(x88591),x88593),f13(x88591,f317(f317(f3(f910(x88591,a898)),x88592),f317(f317(f299(x88591),x88593),f178(f910(x88591,a898)))))),f13(x88591,x88592))
% 192.07/191.93 [8860]~P108(x88601)+~P2(f317(f29(x88601),x88602))+E(f317(f317(f3(f910(x88601,a898)),x88602),f317(f317(f299(x88601),x88603),f178(f910(x88601,a898)))),f178(f910(x88601,a898)))+~P2(f317(f317(f319(x88601),x88603),x88602))+E(f317(f317(f224(x88601),x88603),f16(x88601,f317(f317(f3(f910(x88601,a898)),x88602),f317(f317(f299(x88601),x88603),f178(f910(x88601,a898)))))),f16(x88601,x88602))
% 192.07/191.93 [8861]~P108(x88611)+~P2(f317(f29(x88611),x88612))+E(f317(f317(f3(f910(x88611,a898)),x88612),f317(f317(f299(x88611),x88613),f178(f910(x88611,a898)))),f178(f910(x88611,a898)))+~P2(f317(f317(f319(x88611),x88613),x88612))+E(f317(f317(f225(x88611),x88613),f17(x88611,f317(f317(f3(f910(x88611,a898)),x88612),f317(f317(f299(x88611),x88613),f178(f910(x88611,a898)))))),f17(x88611,x88612))
% 192.07/191.93 [8923]~P108(x89231)+~P2(f317(f29(x89231),x89232))+E(f317(f317(f3(f910(x89231,a898)),x89232),f317(f317(f299(x89231),x89233),f178(f910(x89231,a898)))),f178(f910(x89231,a898)))+~P2(f317(f317(f319(x89231),x89233),x89232))+E(f317(f317(f224(x89231),x89233),f14(x89231,f224(x89231),f317(f317(f3(f910(x89231,a898)),x89232),f317(f317(f299(x89231),x89233),f178(f910(x89231,a898)))))),f14(x89231,f224(x89231),x89232))
% 192.07/191.93 [8924]~P108(x89241)+~P2(f317(f29(x89241),x89242))+E(f317(f317(f3(f910(x89241,a898)),x89242),f317(f317(f299(x89241),x89243),f178(f910(x89241,a898)))),f178(f910(x89241,a898)))+~P2(f317(f317(f319(x89241),x89243),x89242))+E(f317(f317(f225(x89241),x89243),f15(x89241,f225(x89241),f317(f317(f3(f910(x89241,a898)),x89242),f317(f317(f299(x89241),x89243),f178(f910(x89241,a898)))))),f15(x89241,f225(x89241),x89242))
% 192.07/191.93 [8939]~P102(x89391)+~P2(f317(f29(x89391),x89393))+~P2(f317(f29(x89391),x89392))+E(f317(f317(f91(f910(x89391,a898)),x89392),x89393),f178(f910(x89391,a898)))+E(f317(f317(f100(x89391),f12(x89391,f317(f317(f100(f910(x89391,a898)),x89392),x89393))),f12(x89391,f317(f317(f91(f910(x89391,a898)),x89392),x89393))),f317(f317(f100(x89391),f12(x89391,x89392)),f12(x89391,x89393)))
% 192.07/191.93 [8940]~P102(x89401)+~P2(f317(f29(x89401),x89403))+~P2(f317(f29(x89401),x89402))+E(f317(f317(f91(f910(x89401,a898)),x89402),x89403),f178(f910(x89401,a898)))+E(f317(f317(f91(x89401),f13(x89401,f317(f317(f100(f910(x89401,a898)),x89402),x89403))),f13(x89401,f317(f317(f91(f910(x89401,a898)),x89402),x89403))),f317(f317(f91(x89401),f13(x89401,x89402)),f13(x89401,x89403)))
% 192.07/191.94 [8941]~P108(x89411)+~P2(f317(f29(x89411),x89413))+~P2(f317(f29(x89411),x89412))+E(f317(f317(f91(f910(x89411,a898)),x89412),x89413),f178(f910(x89411,a898)))+E(f317(f317(f224(x89411),f16(x89411,f317(f317(f100(f910(x89411,a898)),x89412),x89413))),f16(x89411,f317(f317(f91(f910(x89411,a898)),x89412),x89413))),f317(f317(f224(x89411),f16(x89411,x89412)),f16(x89411,x89413)))
% 192.07/191.94 [8942]~P108(x89421)+~P2(f317(f29(x89421),x89423))+~P2(f317(f29(x89421),x89422))+E(f317(f317(f91(f910(x89421,a898)),x89422),x89423),f178(f910(x89421,a898)))+E(f317(f317(f225(x89421),f17(x89421,f317(f317(f100(f910(x89421,a898)),x89422),x89423))),f17(x89421,f317(f317(f91(f910(x89421,a898)),x89422),x89423))),f317(f317(f225(x89421),f17(x89421,x89422)),f17(x89421,x89423)))
% 192.07/191.94 [9157]~P108(x91571)+~P2(f317(f29(x91571),x91573))+~P2(f317(f29(x91571),x91572))+E(f317(f317(f91(f910(x91571,a898)),x91572),x91573),f178(f910(x91571,a898)))+E(f317(f317(f224(x91571),f14(x91571,f224(x91571),f317(f317(f100(f910(x91571,a898)),x91572),x91573))),f14(x91571,f224(x91571),f317(f317(f91(f910(x91571,a898)),x91572),x91573))),f317(f317(f224(x91571),f14(x91571,f224(x91571),x91572)),f14(x91571,f224(x91571),x91573)))
% 192.07/191.94 [9158]~P108(x91581)+~P2(f317(f29(x91581),x91583))+~P2(f317(f29(x91581),x91582))+E(f317(f317(f91(f910(x91581,a898)),x91582),x91583),f178(f910(x91581,a898)))+E(f317(f317(f225(x91581),f15(x91581,f225(x91581),f317(f317(f100(f910(x91581,a898)),x91582),x91583))),f15(x91581,f225(x91581),f317(f317(f91(f910(x91581,a898)),x91582),x91583))),f317(f317(f225(x91581),f15(x91581,f225(x91581),x91582)),f15(x91581,f225(x91581),x91583)))
% 192.07/191.94 [9969]~P110(x99693)+E(x99691,x99692)+~P2(f317(f317(f226(x99693),f2(x99693)),x99692))+~P2(f317(f317(f226(x99693),f2(x99693)),x99691))+~E(f317(f317(f234(x99693),x99691),f317(f93(a903),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(x99693),x99692),f317(f93(a903),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)))))
% 192.07/191.94 [5975]~P4(x59752)+E(x59751,f2(x59752))+~E(f317(f317(f31(x59752),x59753),x59751),x59754)+E(x59753,f317(f317(f75(x59752),x59754),x59751))+~P2(f317(f317(f277(x59752),x59751),x59753))
% 192.07/191.94 [5976]~P4(x59762)+E(x59761,f2(x59762))+~E(x59763,f317(f317(f75(x59762),x59764),x59761))+E(f317(f317(f31(x59762),x59763),x59761),x59764)+~P2(f317(f317(f277(x59762),x59761),x59763))
% 192.07/191.94 [6452]E(f402(x64521,x64522,x64523),x64524)+E(f317(x64521,x64524),f2(a903))+~E(f317(f317(f8(x64523,a903),x64521),x64522),f72(a903))+~P2(f317(f29(x64523),x64522))+~P2(f317(f317(f319(x64523),x64524),x64522))
% 192.07/191.94 [6517]E(f406(x65171,x65172,x65173),x65174)+E(f317(x65171,x65174),f2(a903))+~E(f317(f317(f8(x65173,a903),x65171),x65172),f317(a102,f2(a903)))+~P2(f317(f29(x65173),x65172))+~P2(f317(f317(f319(x65173),x65174),x65172))
% 192.07/191.94 [6629]~P108(x66291)+~P6(x66291)+P2(f317(f317(f227(x66291),x66292),f32(x66291,x66293)))+~P2(f317(f317(f227(x66291),x66292),x66294))+~P2(f317(f317(f319(x66291),x66294),x66293))
% 192.07/191.94 [6807]~P108(x68071)+~P6(x68071)+~P2(f317(f317(f227(x68071),x68074),x68073))+P2(f317(f317(f227(x68071),f33(x68071,x68072)),x68073))+~P2(f317(f317(f319(x68071),x68074),x68072))
% 192.07/191.94 [7074]~P110(x70743)+E(x70741,x70742)+~E(f317(f317(f234(x70743),x70741),f317(a102,x70744)),f317(f317(f234(x70743),x70742),f317(a102,x70744)))+~P2(f317(f317(f226(x70743),f2(x70743)),x70742))+~P2(f317(f317(f226(x70743),f2(x70743)),x70741))
% 192.07/191.94 [7286]~E(f408(x72862,x72863,x72861,x72864),x72864)+~E(f317(x72862,x72864),f72(a903))+E(f317(f317(f8(x72861,a903),x72862),x72863),f72(a903))+~P2(f317(f29(x72861),x72863))+~P2(f317(f317(f319(x72861),x72864),x72863))
% 192.07/191.94 [7293]~P118(x72934)+~P135(x72934)+E(f317(x72931,f371(x72931,x72932,x72933,x72934)),f2(x72934))+~E(f317(f317(f11(x72933,x72934),x72931),x72932),f2(x72934))+~P2(f317(f29(x72933),x72932))
% 192.07/191.94 [7381]~E(f407(x73812,x73813,x73811,x73814),x73814)+~E(f317(x73812,x73814),f317(a102,f2(a903)))+E(f317(f317(f8(x73811,a903),x73812),x73813),f317(a102,f2(a903)))+~P2(f317(f29(x73811),x73813))+~P2(f317(f317(f319(x73811),x73814),x73813))
% 192.07/191.94 [8117]~E(f317(x81172,x81174),f72(a903))+~E(f317(x81172,f408(x81172,x81173,x81171,x81174)),f2(a903))+E(f317(f317(f8(x81171,a903),x81172),x81173),f72(a903))+~P2(f317(f29(x81171),x81173))+~P2(f317(f317(f319(x81171),x81174),x81173))
% 192.07/191.94 [8155]~E(f317(x81552,x81554),f317(a102,f2(a903)))+~E(f317(x81552,f407(x81552,x81553,x81551,x81554)),f2(a903))+E(f317(f317(f8(x81551,a903),x81552),x81553),f317(a102,f2(a903)))+~P2(f317(f29(x81551),x81553))+~P2(f317(f317(f319(x81551),x81554),x81553))
% 192.07/191.94 [8241]~P146(x82412)+~P121(x82412)+~P2(f317(x82411,x82414))+~P2(f317(f317(f277(x82412),x82413),f317(f317(f74(x82412),x82414),f2(x82412))))+P2(f317(x82411,f317(f317(f75(x82412),x82413),f846(x82413,x82411,x82412))))
% 192.07/191.94 [8707]~P108(x87071)+~P14(x87071,x87074)+P14(x87071,x87072)+~E(x87072,f317(f317(f141(x87071),x87073),x87074))+~P2(f317(f317(f226(x87071),x87073),f649(x87072,x87071,x87074,x87073)))
% 192.07/191.94 [8744]E(x87441,x87442)+E(f317(f317(f3(a1),f888(x87443,x87442,x87444,x87441)),f889(x87443,x87442,x87444,x87441)),x87441)+~E(f317(f317(f74(a1),x87441),x87444),x87442)+~P2(f317(f317(f227(a1),f2(a1)),x87444))+~P2(f317(f317(f319(a1),x87442),x87443))
% 192.07/191.94 [8745]E(x87451,x87452)+E(f317(f317(f74(a1),f329(x87453,x87452,x87454,x87451)),f330(x87453,x87452,x87454,x87451)),x87451)+~E(f317(f317(f3(a1),x87451),x87454),x87452)+~P2(f317(f317(f227(a1),f2(a1)),x87454))+~P2(f317(f317(f319(a1),x87452),x87453))
% 192.07/191.94 [8937]E(f317(x89371,f890(x89372,x89371,x89373,x89374)),x89372)+P2(f317(f317(f226(a903),x89374),f891(x89372,x89371,x89373,x89374)))+~P2(f317(f317(f226(a1),x89372),f317(x89371,x89373)))+~P2(f317(f317(f227(a903),x89374),x89373))+~P2(f317(f317(f226(a1),f317(x89371,x89374)),x89372))
% 192.07/191.94 [8938]~P108(x89381)+~P14(x89381,x89383)+P14(x89381,x89382)+~E(x89382,f317(f317(f141(x89381),x89384),x89383))+P2(f317(f317(f319(x89381),f649(x89382,x89381,x89383,x89384)),f317(f162(x89381),x89383)))
% 192.07/191.94 [8956]~P118(x89564)+~P135(x89564)+~E(f317(f317(f11(x89561,x89564),x89562),x89563),f2(x89564))+~P2(f317(f29(x89561),x89563))+P2(f317(f317(f319(x89561),f371(x89562,x89563,x89561,x89564)),x89563))
% 192.07/191.94 [8994]~E(f317(x89942,x89944),f72(a903))+E(f317(f317(f8(x89941,a903),x89942),x89943),f72(a903))+~P2(f317(f29(x89941),x89943))+~P2(f317(f317(f319(x89941),x89944),x89943))+P2(f317(f317(f319(x89941),f408(x89942,x89943,x89941,x89944)),x89943))
% 192.07/191.94 [9006]E(x90061,x90062)+~E(f317(f317(f74(a1),x90062),x90064),x90061)+~P2(f317(f317(f227(a1),f2(a1)),x90064))+~P2(f317(f317(f319(a1),x90061),x90063))+P2(f317(f317(f319(a1),f888(x90063,x90061,x90064,x90062)),x90063))
% 192.07/191.94 [9007]E(x90071,x90072)+~E(f317(f317(f3(a1),x90072),x90074),x90071)+~P2(f317(f317(f227(a1),f2(a1)),x90074))+~P2(f317(f317(f319(a1),x90071),x90073))+P2(f317(f317(f319(a1),f329(x90073,x90071,x90074,x90072)),x90073))
% 192.07/191.94 [9009]~E(f317(x90092,x90094),f317(a102,f2(a903)))+E(f317(f317(f8(x90091,a903),x90092),x90093),f317(a102,f2(a903)))+~P2(f317(f29(x90091),x90093))+~P2(f317(f317(f319(x90091),x90094),x90093))+P2(f317(f317(f319(x90091),f407(x90092,x90093,x90091,x90094)),x90093))
% 192.07/191.94 [9014]P58(x90142,x90143,x90144,x90141)+E(x90141,f178(f910(x90142,a898)))+~P2(f317(f29(x90142),x90144))+~P2(f317(f29(x90142),x90141))+P2(f317(f317(f319(x90142),f780(x90143,x90141,x90144,x90142)),x90144))
% 192.07/191.94 [9015]P58(x90152,x90153,x90154,x90151)+E(x90151,f178(f910(x90152,a898)))+~P2(f317(f29(x90152),x90154))+~P2(f317(f29(x90152),x90151))+P2(f317(f317(f319(x90152),f528(x90151,x90154,x90153,x90152)),x90154))
% 192.07/191.94 [9016]P58(x90162,x90163,x90164,x90161)+E(x90161,f178(f910(x90162,a898)))+~P2(f317(f29(x90162),x90164))+~P2(f317(f29(x90162),x90161))+P2(f317(f317(f319(x90162),f781(x90161,x90164,x90163,x90162)),x90164))
% 192.07/191.94 [9089]E(x90891,x90892)+~E(f317(f317(f74(a1),x90892),x90894),x90891)+~P2(f317(f317(f227(a1),f2(a1)),x90894))+~P2(f317(f317(f319(a1),x90891),x90893))+P2(f317(f317(f319(a1),f889(x90893,x90891,x90894,x90892)),f293(a1,f72(a1),x90894)))
% 192.07/191.94 [9090]E(x90901,x90902)+~E(f317(f317(f3(a1),x90902),x90904),x90901)+~P2(f317(f317(f227(a1),f2(a1)),x90904))+~P2(f317(f317(f319(a1),x90901),x90903))+P2(f317(f317(f319(a1),f330(x90903,x90901,x90904,x90902)),f293(a1,f72(a1),x90904)))
% 192.07/191.94 [9163]P2(f317(f317(f226(a903),x91631),f890(x91632,x91633,x91634,x91631)))+~P2(f317(f317(f226(a1),x91632),f317(x91633,x91634)))+P2(f317(f317(f226(a903),x91631),f891(x91632,x91633,x91634,x91631)))+~P2(f317(f317(f227(a903),x91631),x91634))+~P2(f317(f317(f226(a1),f317(x91633,x91631)),x91632))
% 192.07/191.94 [9277]E(f317(x92771,f890(x92772,x92771,x92773,x92774)),x92772)+~P2(f317(f317(f226(a1),x92772),f317(x92771,x92773)))+P2(f317(f317(f227(a903),f891(x92772,x92771,x92773,x92774)),x92773))+~P2(f317(f317(f227(a903),x92774),x92773))+~P2(f317(f317(f226(a1),f317(x92771,x92774)),x92772))
% 192.07/191.94 [9392]~P2(f317(f317(f277(a903),x93924),x93921))+~P2(f317(f317(f277(a903),x93924),x93923))+~P2(f317(f317(f277(a903),x93922),x93921))+P2(f317(f317(f277(a903),x93921),x93922))+P2(f317(f317(f227(f910(a903,a898)),f280(a903,f277(a903),x93923,x93922)),f280(a903,f277(a903),x93924,x93921)))
% 192.07/191.94 [9393]~P2(f317(f317(f277(a903),x93932),x93931))+~P2(f317(f317(f277(a903),x93933),x93934))+~P2(f317(f317(f277(a903),x93932),x93934))+P2(f317(f317(f277(a903),x93931),x93932))+P2(f317(f317(f227(f910(a903,a898)),f280(a903,f277(a903),x93931,x93933)),f280(a903,f277(a903),x93932,x93934)))
% 192.07/191.94 [9411]~P2(f317(f317(f226(a1),x94112),f317(x94113,x94114)))+P2(f317(f317(f226(a903),x94111),f891(x94112,x94113,x94114,x94111)))+P2(f317(f317(f226(a903),f890(x94112,x94113,x94114,x94111)),x94114))+~P2(f317(f317(f227(a903),x94111),x94114))+~P2(f317(f317(f226(a1),f317(x94113,x94111)),x94112))
% 192.07/191.94 [9412]~P2(f317(f317(f226(a1),x94122),f317(x94123,x94124)))+P2(f317(f317(f226(a903),x94121),f890(x94122,x94123,x94124,x94121)))+P2(f317(f317(f227(a903),f891(x94122,x94123,x94124,x94121)),x94124))+~P2(f317(f317(f227(a903),x94121),x94124))+~P2(f317(f317(f226(a1),f317(x94123,x94121)),x94122))
% 192.07/191.94 [9520]~P2(f317(f317(f226(a1),x95201),f317(x95202,x95203)))+P2(f317(f317(f227(a903),f891(x95201,x95202,x95203,x95204)),x95203))+~P2(f317(f317(f227(a903),x95204),x95203))+~P2(f317(f317(f226(a1),f317(x95202,x95204)),x95201))+P2(f317(f317(f226(a903),f890(x95201,x95202,x95203,x95204)),x95203))
% 192.07/191.94 [9614]E(x96141,f178(f910(x96142,a898)))+~P2(f317(f29(x96142),x96144))+~P2(f317(f29(x96142),x96141))+P2(f317(f317(f319(f909(f910(x96142,a898),f910(x96142,a898))),f317(f317(f242(f910(x96142,a898),f910(x96142,a898)),x96144),x96141)),f309(x96142,x96143)))+P2(f317(f317(f319(x96142),f530(x96143,x96141,x96144,x96142)),x96144))
% 192.07/191.94 [9615]E(x96151,f178(f910(x96152,a898)))+~P2(f317(f29(x96152),x96154))+~P2(f317(f29(x96152),x96151))+P2(f317(f317(f319(f909(f910(x96152,a898),f910(x96152,a898))),f317(f317(f242(f910(x96152,a898),f910(x96152,a898)),x96154),x96151)),f309(x96152,x96153)))+P2(f317(f317(f319(x96152),f692(x96153,x96151,x96154,x96152)),x96154))
% 192.07/191.94 [10291]E(f317(x102911,f890(x102912,x102911,x102913,x102914)),x102912)+~P2(f317(f317(f226(a1),x102912),f317(x102911,x102913)))+~P2(f317(f317(f226(a1),f317(f70(a1),f317(f317(f3(a1),f317(x102911,f317(f317(f74(a903),f891(x102912,x102911,x102913,x102914)),f72(a903)))),f317(x102911,f891(x102912,x102911,x102913,x102914))))),f72(a1)))+~P2(f317(f317(f227(a903),x102914),x102913))+~P2(f317(f317(f226(a1),f317(x102911,x102914)),x102912))
% 192.07/191.94 [10292]~P2(f317(f317(f226(a1),x102922),f317(x102923,x102924)))+P2(f317(f317(f226(a903),x102921),f890(x102922,x102923,x102924,x102921)))+~P2(f317(f317(f226(a1),f317(f70(a1),f317(f317(f3(a1),f317(x102923,f317(f317(f74(a903),f891(x102922,x102923,x102924,x102921)),f72(a903)))),f317(x102923,f891(x102922,x102923,x102924,x102921))))),f72(a1)))+~P2(f317(f317(f227(a903),x102921),x102924))+~P2(f317(f317(f226(a1),f317(x102923,x102921)),x102922))
% 192.07/191.94 [10293]~P2(f317(f317(f226(a1),x102931),f317(x102932,x102933)))+~P2(f317(f317(f226(a1),f317(f70(a1),f317(f317(f3(a1),f317(x102932,f317(f317(f74(a903),f891(x102931,x102932,x102933,x102934)),f72(a903)))),f317(x102932,f891(x102931,x102932,x102933,x102934))))),f72(a1)))+~P2(f317(f317(f227(a903),x102934),x102933))+~P2(f317(f317(f226(a1),f317(x102932,x102934)),x102931))+P2(f317(f317(f226(a903),f890(x102931,x102932,x102933,x102934)),x102933))
% 192.07/191.94 [7344]~P63(x73441)+P2(f317(f317(f227(x73441),x73442),f2(x73441)))+~P2(f317(f317(f226(x73441),x73443),f2(x73441)))+P2(f317(f317(f227(x73441),f2(x73441)),x73442))+P2(f317(f317(f226(x73441),x73443),f317(f317(f281(x73441),x73444),x73442)))
% 192.07/191.94 [7345]~P63(x73451)+P2(f317(f317(f227(x73451),x73452),f2(x73451)))+~P2(f317(f317(f227(x73451),x73453),f2(x73451)))+P2(f317(f317(f227(x73451),f2(x73451)),x73452))+P2(f317(f317(f227(x73451),x73453),f317(f317(f281(x73451),x73454),x73452)))
% 192.07/191.94 [7594]~P63(x75941)+P2(f317(f317(f226(x75941),x75942),f2(x75941)))+P2(f317(f317(f227(x75941),x75943),f2(x75941)))+P2(f317(f317(f227(x75941),f2(x75941)),x75943))+~P2(f317(f317(f226(x75941),x75942),f317(f317(f281(x75941),x75944),x75943)))
% 192.07/191.94 [7595]~P63(x75951)+P2(f317(f317(f227(x75951),x75952),f2(x75951)))+P2(f317(f317(f227(x75951),x75953),f2(x75951)))+P2(f317(f317(f227(x75951),f2(x75951)),x75953))+~P2(f317(f317(f227(x75951),x75952),f317(f317(f281(x75951),x75954),x75953)))
% 192.07/191.94 [7713]E(x77131,x77132)+~E(f317(f317(f154(x77133),x77134),x77131),f317(f317(f154(x77133),x77134),x77132))+~P2(f317(f127(x77133),x77134))+~P2(f317(f317(f227(a903),x77132),f317(f179(f904(x77133)),x77134)))+~P2(f317(f317(f227(a903),x77131),f317(f179(f904(x77133)),x77134)))
% 192.07/191.94 [8079]~P63(x80791)+~P2(f317(f317(f226(x80791),x80793),f2(x80791)))+P2(f317(f317(f227(x80791),f2(x80791)),x80792))+~P2(f317(f317(f226(x80791),x80794),f317(f317(f75(x80791),x80793),x80792)))+P2(f317(f317(f226(x80791),x80793),f317(f317(f281(x80791),x80794),x80792)))
% 192.07/191.94 [8080]~P63(x80801)+~P2(f317(f317(f227(x80801),x80803),f2(x80801)))+P2(f317(f317(f227(x80801),f2(x80801)),x80802))+~P2(f317(f317(f227(x80801),x80804),f317(f317(f75(x80801),x80803),x80802)))+P2(f317(f317(f227(x80801),x80803),f317(f317(f281(x80801),x80804),x80802)))
% 192.07/191.94 [8081]~P63(x80811)+~P2(f317(f317(f227(x80811),x80812),f2(x80811)))+P2(f317(f317(f227(x80811),f2(x80811)),x80812))+~P2(f317(f317(f226(x80811),x80814),f317(f317(f75(x80811),x80813),x80812)))+P2(f317(f317(f226(x80811),x80813),f317(f317(f281(x80811),x80814),x80812)))
% 192.07/191.94 [8082]~P63(x80821)+~P2(f317(f317(f227(x80821),x80822),f2(x80821)))+P2(f317(f317(f227(x80821),f2(x80821)),x80822))+~P2(f317(f317(f226(x80821),x80824),f317(f317(f281(x80821),x80823),x80822)))+P2(f317(f317(f226(x80821),x80823),f317(f317(f75(x80821),x80824),x80822)))
% 192.07/191.94 [8083]~P63(x80831)+~P2(f317(f317(f227(x80831),x80832),f2(x80831)))+P2(f317(f317(f227(x80831),f2(x80831)),x80832))+~P2(f317(f317(f227(x80831),x80834),f317(f317(f75(x80831),x80833),x80832)))+P2(f317(f317(f227(x80831),x80833),f317(f317(f281(x80831),x80834),x80832)))
% 192.07/191.94 [8084]~P63(x80841)+~P2(f317(f317(f227(x80841),x80842),f2(x80841)))+P2(f317(f317(f227(x80841),f2(x80841)),x80842))+~P2(f317(f317(f227(x80841),x80844),f317(f317(f281(x80841),x80843),x80842)))+P2(f317(f317(f227(x80841),x80843),f317(f317(f75(x80841),x80844),x80842)))
% 192.07/191.94 [8209]~P4(x82091)+~P2(f317(f317(f277(x82091),x82093),x82094))+~P2(f317(f317(f277(x82091),x82093),x82092))+~P2(f317(f317(f277(x82091),x82092),x82094))+P2(f317(f317(f277(x82091),f317(f317(f31(x82091),x82092),x82093)),f317(f317(f31(x82091),x82094),x82093)))
% 192.07/191.94 [8224]~P108(x82241)+~P14(x82241,x82242)+~P2(f317(f317(f226(a903),x82243),x82244))+P2(f317(f317(f226(x82241),f317(f317(f154(x82241),x82242),x82243)),f317(f317(f154(x82241),x82242),x82244)))+~P2(f317(f317(f227(a903),x82244),f317(f179(f904(x82241)),x82242)))
% 192.07/191.94 [8277]~P110(x82771)+~P2(f317(f317(f226(x82771),x82772),f72(x82771)))+~P2(f317(f317(f226(x82771),f2(x82771)),x82772))+~P2(f317(f317(f226(a903),x82774),x82773))+P2(f317(f317(f226(x82771),f317(f317(f234(x82771),x82772),x82773)),f317(f317(f234(x82771),x82772),x82774)))
% 192.07/191.94 [8278]~P110(x82781)+~P2(f317(f317(f227(x82781),x82782),f72(x82781)))+~P2(f317(f317(f227(x82781),f2(x82781)),x82782))+~P2(f317(f317(f227(a903),x82784),x82783))+P2(f317(f317(f227(x82781),f317(f317(f234(x82781),x82782),x82783)),f317(f317(f234(x82781),x82782),x82784)))
% 192.07/191.94 [8279]~P110(x82791)+~P2(f317(f317(f226(x82791),f2(x82791)),x82792))+~P2(f317(f317(f227(a903),f2(a903)),x82793))+~P2(f317(f317(f227(x82791),x82792),x82794))+P2(f317(f317(f227(x82791),f317(f317(f234(x82791),x82792),x82793)),f317(f317(f234(x82791),x82794),x82793)))
% 192.07/191.94 [8297]~P108(x82971)+~P14(x82971,f317(f158(x82971),x82972))+~P2(f317(f317(f226(a903),x82974),x82973))+P2(f317(f317(f226(x82971),f317(f317(f154(x82971),x82972),x82973)),f317(f317(f154(x82971),x82972),x82974)))+~P2(f317(f317(f227(a903),x82973),f317(f179(f904(x82971)),x82972)))
% 192.07/191.94 [8529]~P4(x85291)+P2(f317(f317(f277(x85291),x85292),x85293))+~P2(f317(f317(f277(x85291),x85294),x85293))+~P2(f317(f317(f277(x85291),x85294),x85292))+~P2(f317(f317(f277(x85291),f317(f317(f31(x85291),x85292),x85294)),f317(f317(f31(x85291),x85293),x85294)))
% 192.07/191.94 [8544]~P63(x85441)+~P2(f317(f317(f226(x85441),x85442),f2(x85441)))+~P2(f317(f317(f226(x85441),x85443),x85444))+~P2(f317(f317(f227(x85441),f2(x85441)),f317(f317(f75(x85441),x85443),x85444)))+P2(f317(f317(f226(x85441),f317(f317(f281(x85441),x85442),x85443)),f317(f317(f281(x85441),x85442),x85444)))
% 192.07/191.94 [8545]~P64(x85451)+~P2(f317(f317(f227(x85451),x85452),f2(x85451)))+~P2(f317(f317(f227(x85451),x85453),x85454))+~P2(f317(f317(f227(x85451),f2(x85451)),f317(f317(f75(x85451),x85453),x85454)))+P2(f317(f317(f227(x85451),f317(f317(f281(x85451),x85452),x85453)),f317(f317(f281(x85451),x85452),x85454)))
% 192.07/191.94 [8554]~P64(x85541)+~P2(f317(f317(f226(x85541),x85544),x85543))+~P2(f317(f317(f226(x85541),f2(x85541)),x85542))+~P2(f317(f317(f227(x85541),f2(x85541)),f317(f317(f75(x85541),x85543),x85544)))+P2(f317(f317(f226(x85541),f317(f317(f281(x85541),x85542),x85543)),f317(f317(f281(x85541),x85542),x85544)))
% 192.07/191.94 [8555]~P64(x85551)+~P2(f317(f317(f227(x85551),x85554),x85553))+~P2(f317(f317(f227(x85551),f2(x85551)),x85552))+~P2(f317(f317(f227(x85551),f2(x85551)),f317(f317(f75(x85551),x85553),x85554)))+P2(f317(f317(f227(x85551),f317(f317(f281(x85551),x85552),x85553)),f317(f317(f281(x85551),x85552),x85554)))
% 192.07/191.94 [8655]P2(f317(x86551,x86552))+~P2(f317(f29(x86554),x86552))+P2(f317(x86551,f896(x86551,x86553,x86552,x86554)))+~P2(f317(x86551,f178(f910(x86554,a898))))+~P2(f317(f317(f226(f910(x86554,a898)),x86552),x86553))
% 192.07/191.94 [8664]P2(f317(x86641,x86642))+P2(f317(f29(x86643),f896(x86641,x86644,x86642,x86643)))+~P2(f317(f29(x86643),x86642))+~P2(f317(x86641,f178(f910(x86643,a898))))+~P2(f317(f317(f226(f910(x86643,a898)),x86642),x86644))
% 192.07/191.94 [8932]E(f317(f317(f74(a1),f331(x89321,x89322,x89323,x89324)),f332(x89321,x89322,x89323,x89324)),x89324)+~P2(f317(f317(f227(a1),f2(a1)),x89323))+~P2(f317(f317(f227(a1),x89322),x89324))+~P2(f317(f317(f319(a1),x89322),x89321))+P2(f317(f317(f227(a1),x89322),f317(f317(f3(a1),x89324),x89323)))
% 192.07/191.94 [9145]~P2(f317(f317(f227(a1),f2(a1)),x91453))+~P2(f317(f317(f227(a1),x91452),x91454))+~P2(f317(f317(f319(a1),x91452),x91451))+P2(f317(f317(f319(a1),f331(x91451,x91452,x91453,x91454)),x91451))+P2(f317(f317(f227(a1),x91452),f317(f317(f3(a1),x91454),x91453)))
% 192.07/191.94 [9156]P2(f317(x91561,x91562))+~P2(f317(f29(x91563),x91562))+P2(f317(f317(f319(x91563),f886(x91561,x91564,x91562,x91563)),x91564))+~P2(f317(x91561,f178(f910(x91563,a898))))+~P2(f317(f317(f226(f910(x91563,a898)),x91562),x91564))
% 192.07/191.94 [9173]E(f317(f317(f74(a1),f892(x91731,x91732,x91733,x91734)),f893(x91731,x91732,x91733,x91734)),x91734)+~P2(f317(f317(f227(a1),f2(a1)),x91733))+~P2(f317(f317(f226(a1),x91732),x91734))+P2(f317(f317(f226(a1),x91732),f317(f317(f3(a1),x91734),x91733)))+~P2(f317(f317(f319(a1),f317(f317(f3(a1),x91732),f72(a1))),x91731))
% 192.07/191.94 [9227]~P2(f317(f317(f227(a1),f2(a1)),x92273))+~P2(f317(f317(f227(a1),x92271),x92272))+~P2(f317(f317(f319(a1),x92271),x92274))+P2(f317(f317(f319(a1),f332(x92274,x92271,x92273,x92272)),f293(a1,f72(a1),x92273)))+P2(f317(f317(f227(a1),x92271),f317(f317(f3(a1),x92272),x92273)))
% 192.07/191.94 [9253]~P75(x92532)+~E(f762(x92533,x92534,x92531,x92532),f763(x92533,x92534,x92531,x92532))+~P2(f317(f29(x92531),f764(x92533,x92534,x92531,x92532)))+E(f317(f317(f8(f910(x92531,a898),x92532),f317(f8(x92531,x92532),x92533)),x92534),f317(f317(f8(x92531,x92532),x92533),f32(f910(x92531,a898),x92534)))+~P2(f317(f29(f910(x92531,a898)),x92534))
% 192.07/191.94 [9257]~P75(x92572)+~E(f317(x92573,f765(x92573,x92574,x92571,x92572)),f2(x92572))+~P2(f317(f29(x92571),f764(x92573,x92574,x92571,x92572)))+E(f317(f317(f8(f910(x92571,a898),x92572),f317(f8(x92571,x92572),x92573)),x92574),f317(f317(f8(x92571,x92572),x92573),f32(f910(x92571,a898),x92574)))+~P2(f317(f29(f910(x92571,a898)),x92574))
% 192.07/191.94 [9321]~P2(f317(f317(f227(a1),f2(a1)),x93213))+~P2(f317(f317(f226(a1),x93212),x93214))+P2(f317(f317(f319(a1),f892(x93211,x93212,x93213,x93214)),x93211))+P2(f317(f317(f226(a1),x93212),f317(f317(f3(a1),x93214),x93213)))+~P2(f317(f317(f319(a1),f317(f317(f3(a1),x93212),f72(a1))),x93211))
% 192.07/191.94 [9367]~P2(f317(f317(f227(a1),f2(a1)),x93673))+~P2(f317(f317(f226(a1),x93671),x93672))+P2(f317(f317(f319(a1),f893(x93674,x93671,x93673,x93672)),f293(a1,f72(a1),x93673)))+P2(f317(f317(f226(a1),x93671),f317(f317(f3(a1),x93672),x93673)))+~P2(f317(f317(f319(a1),f317(f317(f3(a1),x93671),f72(a1))),x93674))
% 192.07/191.94 [9388]~P75(x93882)+~E(f762(x93883,x93884,x93881,x93882),f763(x93883,x93884,x93881,x93882))+E(f317(f317(f8(f910(x93881,a898),x93882),f317(f8(x93881,x93882),x93883)),x93884),f317(f317(f8(x93881,x93882),x93883),f32(f910(x93881,a898),x93884)))+P2(f317(f317(f319(f910(x93881,a898)),f764(x93883,x93884,x93881,x93882)),x93884))+~P2(f317(f29(f910(x93881,a898)),x93884))
% 192.07/191.94 [9395]~P75(x93952)+~E(f317(x93953,f765(x93953,x93954,x93951,x93952)),f2(x93952))+E(f317(f317(f8(f910(x93951,a898),x93952),f317(f8(x93951,x93952),x93953)),x93954),f317(f317(f8(x93951,x93952),x93953),f32(f910(x93951,a898),x93954)))+P2(f317(f317(f319(f910(x93951,a898)),f764(x93953,x93954,x93951,x93952)),x93954))+~P2(f317(f29(f910(x93951,a898)),x93954))
% 192.07/191.94 [9497]~P75(x94972)+~P2(f317(f29(x94971),f764(x94973,x94974,x94971,x94972)))+E(f317(f317(f8(f910(x94971,a898),x94972),f317(f8(x94971,x94972),x94973)),x94974),f317(f317(f8(x94971,x94972),x94973),f32(f910(x94971,a898),x94974)))+P2(f317(f317(f319(f910(x94971,a898)),f763(x94973,x94974,x94971,x94972)),x94974))+~P2(f317(f29(f910(x94971,a898)),x94974))
% 192.07/191.94 [9498]~P75(x94982)+~P2(f317(f29(x94981),f764(x94983,x94984,x94981,x94982)))+E(f317(f317(f8(f910(x94981,a898),x94982),f317(f8(x94981,x94982),x94983)),x94984),f317(f317(f8(x94981,x94982),x94983),f32(f910(x94981,a898),x94984)))+P2(f317(f317(f319(f910(x94981,a898)),f762(x94983,x94984,x94981,x94982)),x94984))+~P2(f317(f29(f910(x94981,a898)),x94984))
% 192.07/191.94 [9578]~P75(x95782)+E(f317(f317(f8(f910(x95781,a898),x95782),f317(f8(x95781,x95782),x95783)),x95784),f317(f317(f8(x95781,x95782),x95783),f32(f910(x95781,a898),x95784)))+P2(f317(f317(f319(f910(x95781,a898)),f764(x95783,x95784,x95781,x95782)),x95784))+P2(f317(f317(f319(f910(x95781,a898)),f763(x95783,x95784,x95781,x95782)),x95784))+~P2(f317(f29(f910(x95781,a898)),x95784))
% 192.07/191.94 [9579]~P75(x95792)+E(f317(f317(f8(f910(x95791,a898),x95792),f317(f8(x95791,x95792),x95793)),x95794),f317(f317(f8(x95791,x95792),x95793),f32(f910(x95791,a898),x95794)))+P2(f317(f317(f319(f910(x95791,a898)),f764(x95793,x95794,x95791,x95792)),x95794))+P2(f317(f317(f319(f910(x95791,a898)),f762(x95793,x95794,x95791,x95792)),x95794))+~P2(f317(f29(f910(x95791,a898)),x95794))
% 192.07/191.94 [9600]~P75(x96002)+P2(f317(f317(f319(x96001),f765(x96003,x96004,x96001,x96002)),f763(x96003,x96004,x96001,x96002)))+~P2(f317(f29(x96001),f764(x96003,x96004,x96001,x96002)))+E(f317(f317(f8(f910(x96001,a898),x96002),f317(f8(x96001,x96002),x96003)),x96004),f317(f317(f8(x96001,x96002),x96003),f32(f910(x96001,a898),x96004)))+~P2(f317(f29(f910(x96001,a898)),x96004))
% 192.07/191.94 [9601]~P75(x96012)+P2(f317(f317(f319(x96011),f765(x96013,x96014,x96011,x96012)),f762(x96013,x96014,x96011,x96012)))+~P2(f317(f29(x96011),f764(x96013,x96014,x96011,x96012)))+E(f317(f317(f8(f910(x96011,a898),x96012),f317(f8(x96011,x96012),x96013)),x96014),f317(f317(f8(x96011,x96012),x96013),f32(f910(x96011,a898),x96014)))+~P2(f317(f29(f910(x96011,a898)),x96014))
% 192.07/191.94 [9618]P2(f317(x96181,x96182))+~P2(f317(f317(f319(x96183),f886(x96181,x96184,x96182,x96183)),f896(x96181,x96184,x96182,x96183)))+~P2(f317(f29(x96183),x96182))+~P2(f317(x96181,f178(f910(x96183,a898))))+~P2(f317(f317(f226(f910(x96183,a898)),x96182),x96184))
% 192.07/191.94 [9655]~P75(x96552)+P2(f317(f317(f319(x96551),f765(x96553,x96554,x96551,x96552)),f763(x96553,x96554,x96551,x96552)))+E(f317(f317(f8(f910(x96551,a898),x96552),f317(f8(x96551,x96552),x96553)),x96554),f317(f317(f8(x96551,x96552),x96553),f32(f910(x96551,a898),x96554)))+P2(f317(f317(f319(f910(x96551,a898)),f764(x96553,x96554,x96551,x96552)),x96554))+~P2(f317(f29(f910(x96551,a898)),x96554))
% 192.07/191.94 [9656]~P75(x96562)+P2(f317(f317(f319(x96561),f765(x96563,x96564,x96561,x96562)),f762(x96563,x96564,x96561,x96562)))+E(f317(f317(f8(f910(x96561,a898),x96562),f317(f8(x96561,x96562),x96563)),x96564),f317(f317(f8(x96561,x96562),x96563),f32(f910(x96561,a898),x96564)))+P2(f317(f317(f319(f910(x96561,a898)),f764(x96563,x96564,x96561,x96562)),x96564))+~P2(f317(f29(f910(x96561,a898)),x96564))
% 192.07/191.94 [9832]P2(f317(x98321,x98322))+~P2(f317(f29(x98323),x98322))+~P2(f317(x98321,f317(f317(f299(x98323),f886(x98321,x98324,x98322,x98323)),f896(x98321,x98324,x98322,x98323))))+~P2(f317(x98321,f178(f910(x98323,a898))))+~P2(f317(f317(f226(f910(x98323,a898)),x98322),x98324))
% 192.07/191.94 [7849]~P63(x78491)+P2(f317(f317(f227(x78491),x78492),f2(x78491)))+~P2(f317(f317(f226(x78491),f2(x78491)),x78494))+P2(f317(f317(f227(x78491),f2(x78491)),x78492))+P2(f317(f317(f226(x78491),f317(f317(f281(x78491),x78493),x78492)),x78494))
% 192.07/191.94 [7850]~P63(x78501)+P2(f317(f317(f227(x78501),x78502),f2(x78501)))+P2(f317(f317(f227(x78501),f2(x78501)),x78502))+~P2(f317(f317(f227(x78501),f2(x78501)),x78504))+P2(f317(f317(f227(x78501),f317(f317(f281(x78501),x78503),x78502)),x78504))
% 192.07/191.94 [8130]~P2(f317(f317(f226(a1),x81304),f2(a1)))+~E(x81302,f317(f317(f74(a1),f317(f317(f75(a1),x81301),x81303)),x81304))+P2(f317(f317(f227(a1),f2(a1)),x81301))+~P2(f317(f317(f227(a1),x81301),x81304))+P2(f317(f45(x81302,x81301),f317(f317(f242(a1,a1),x81303),x81304)))
% 192.07/191.94 [8164]~P2(f317(x81641,x81644))+P2(f317(x81641,f862(x81642,x81641,x81643)))+~P2(f317(f317(f226(a1),f2(a1)),x81642))+~P2(f317(f317(f227(a1),f2(a1)),x81643))+P2(f317(x81641,f317(f317(f3(a1),x81644),f317(f317(f75(a1),x81642),x81643))))
% 192.07/191.94 [8165]~P2(f317(x81651,x81654))+P2(f317(x81651,f863(x81652,x81651,x81653)))+~P2(f317(f317(f226(a1),f2(a1)),x81652))+~P2(f317(f317(f227(a1),f2(a1)),x81653))+P2(f317(x81651,f317(f317(f74(a1),x81654),f317(f317(f75(a1),x81652),x81653))))
% 192.07/191.94 [8166]~P63(x81661)+P2(f317(f317(f227(x81661),x81662),f2(x81661)))+P2(f317(f317(f227(x81661),f2(x81661)),x81662))+P2(f317(f317(f226(x81661),f2(x81661)),x81663))+~P2(f317(f317(f226(x81661),f317(f317(f281(x81661),x81664),x81662)),x81663))
% 192.07/191.94 [8167]~P63(x81671)+P2(f317(f317(f227(x81671),x81672),f2(x81671)))+P2(f317(f317(f227(x81671),f2(x81671)),x81672))+P2(f317(f317(f227(x81671),f2(x81671)),x81673))+~P2(f317(f317(f227(x81671),f317(f317(f281(x81671),x81674),x81672)),x81673))
% 192.07/191.94 [8219]~E(x82191,f317(f317(f74(a1),f317(f317(f75(a1),x82192),x82193)),x82194))+~P2(f317(f317(f226(a1),f2(a1)),x82194))+~P2(f317(f317(f227(a1),f2(a1)),x82192))+~P2(f317(f317(f227(a1),x82194),x82192))+P2(f317(f45(x82191,x82192),f317(f317(f242(a1,a1),x82193),x82194)))
% 192.07/191.94 [8336]~P63(x83361)+P2(f317(f317(f227(x83361),x83362),f2(x83361)))+~P2(f317(f317(f226(x83361),f2(x83361)),x83364))+~P2(f317(f317(f226(x83361),x83363),f317(f317(f75(x83361),x83364),x83362)))+P2(f317(f317(f226(x83361),f317(f317(f281(x83361),x83363),x83362)),x83364))
% 192.07/191.94 [8337]~P63(x83371)+P2(f317(f317(f227(x83371),x83372),f2(x83371)))+~P2(f317(f317(f227(x83371),f2(x83371)),x83374))+~P2(f317(f317(f227(x83371),x83373),f317(f317(f75(x83371),x83374),x83372)))+P2(f317(f317(f227(x83371),f317(f317(f281(x83371),x83373),x83372)),x83374))
% 192.07/191.94 [8422]~P63(x84221)+P2(f317(f317(f227(x84221),x84222),f2(x84221)))+~P2(f317(f317(f226(x84221),x84223),f2(x84221)))+P2(f317(f317(f226(x84221),x84223),f317(f317(f281(x84221),x84224),x84222)))+~P2(f317(f317(f226(x84221),f317(f317(f75(x84221),x84223),x84222)),x84224))
% 192.07/191.94 [8423]~P63(x84231)+P2(f317(f317(f227(x84231),x84232),f2(x84231)))+~P2(f317(f317(f227(x84231),x84233),f2(x84231)))+P2(f317(f317(f227(x84231),x84233),f317(f317(f281(x84231),x84234),x84232)))+~P2(f317(f317(f227(x84231),f317(f317(f75(x84231),x84233),x84232)),x84234))
% 192.07/191.94 [8576]~P63(x85761)+~P2(f317(f317(f227(x85761),x85762),f2(x85761)))+P2(f317(f317(f227(x85761),f2(x85761)),x85762))+~P2(f317(f317(f226(x85761),f317(f317(f281(x85761),x85764),x85762)),x85763))+P2(f317(f317(f226(x85761),f317(f317(f75(x85761),x85763),x85762)),x85764))
% 192.07/191.94 [8577]~P63(x85771)+~P2(f317(f317(f227(x85771),x85772),f2(x85771)))+P2(f317(f317(f227(x85771),f2(x85771)),x85772))+~P2(f317(f317(f226(x85771),f317(f317(f75(x85771),x85774),x85772)),x85773))+P2(f317(f317(f226(x85771),f317(f317(f281(x85771),x85773),x85772)),x85774))
% 192.07/191.94 [8578]~P63(x85781)+~P2(f317(f317(f227(x85781),x85782),f2(x85781)))+P2(f317(f317(f227(x85781),f2(x85781)),x85782))+~P2(f317(f317(f227(x85781),f317(f317(f281(x85781),x85784),x85782)),x85783))+P2(f317(f317(f227(x85781),f317(f317(f75(x85781),x85783),x85782)),x85784))
% 192.07/191.94 [8579]~P63(x85791)+~P2(f317(f317(f227(x85791),x85792),f2(x85791)))+P2(f317(f317(f227(x85791),f2(x85791)),x85792))+~P2(f317(f317(f227(x85791),f317(f317(f75(x85791),x85794),x85792)),x85793))+P2(f317(f317(f227(x85791),f317(f317(f281(x85791),x85793),x85792)),x85794))
% 192.07/191.94 [8595]~P63(x85951)+~P2(f317(f317(f226(x85951),f2(x85951)),x85954))+P2(f317(f317(f227(x85951),f2(x85951)),x85952))+~P2(f317(f317(f226(x85951),f317(f317(f75(x85951),x85954),x85952)),x85953))+P2(f317(f317(f226(x85951),f317(f317(f281(x85951),x85953),x85952)),x85954))
% 192.07/191.94 [8596]~P63(x85961)+~P2(f317(f317(f227(x85961),f2(x85961)),x85964))+P2(f317(f317(f227(x85961),f2(x85961)),x85962))+~P2(f317(f317(f227(x85961),f317(f317(f75(x85961),x85964),x85962)),x85963))+P2(f317(f317(f227(x85961),f317(f317(f281(x85961),x85963),x85962)),x85964))
% 192.07/191.94 [8672]~P63(x86721)+~P2(f317(f317(f227(x86721),x86724),f2(x86721)))+~P2(f317(f317(f226(x86721),x86723),f317(f317(f75(x86721),x86722),x86724)))+P2(f317(f317(f226(x86721),x86722),f317(f317(f281(x86721),x86723),x86724)))+~P2(f317(f317(f226(x86721),f317(f317(f75(x86721),x86722),x86724)),x86723))
% 192.07/191.94 [8673]~P63(x86731)+~P2(f317(f317(f226(x86731),x86732),f2(x86731)))+~P2(f317(f317(f226(x86731),x86733),f317(f317(f75(x86731),x86732),x86734)))+P2(f317(f317(f226(x86731),x86732),f317(f317(f281(x86731),x86733),x86734)))+~P2(f317(f317(f226(x86731),f317(f317(f75(x86731),x86732),x86734)),x86733))
% 192.07/191.94 [8674]~P63(x86741)+~P2(f317(f317(f227(x86741),x86744),f2(x86741)))+~P2(f317(f317(f227(x86741),x86743),f317(f317(f75(x86741),x86742),x86744)))+P2(f317(f317(f227(x86741),x86742),f317(f317(f281(x86741),x86743),x86744)))+~P2(f317(f317(f227(x86741),f317(f317(f75(x86741),x86742),x86744)),x86743))
% 192.07/191.94 [8675]~P63(x86751)+~P2(f317(f317(f227(x86751),x86752),f2(x86751)))+~P2(f317(f317(f227(x86751),x86753),f317(f317(f75(x86751),x86752),x86754)))+P2(f317(f317(f227(x86751),x86752),f317(f317(f281(x86751),x86753),x86754)))+~P2(f317(f317(f227(x86751),f317(f317(f75(x86751),x86752),x86754)),x86753))
% 192.07/191.94 [8797]~P63(x87971)+~P2(f317(f317(f227(x87971),x87973),f2(x87971)))+~P2(f317(f317(f226(x87971),x87972),f317(f317(f75(x87971),x87974),x87973)))+~P2(f317(f317(f226(x87971),f317(f317(f75(x87971),x87974),x87973)),x87972))+P2(f317(f317(f226(x87971),f317(f317(f281(x87971),x87972),x87973)),x87974))
% 192.07/191.94 [8798]~P63(x87981)+~P2(f317(f317(f227(x87981),x87983),f2(x87981)))+~P2(f317(f317(f227(x87981),x87982),f317(f317(f75(x87981),x87984),x87983)))+~P2(f317(f317(f227(x87981),f317(f317(f75(x87981),x87984),x87983)),x87982))+P2(f317(f317(f227(x87981),f317(f317(f281(x87981),x87982),x87983)),x87984))
% 192.07/191.94 [8815]~P63(x88151)+~P2(f317(f317(f226(x88151),f2(x88151)),x88154))+~P2(f317(f317(f226(x88151),x88152),f317(f317(f75(x88151),x88154),x88153)))+~P2(f317(f317(f226(x88151),f317(f317(f75(x88151),x88154),x88153)),x88152))+P2(f317(f317(f226(x88151),f317(f317(f281(x88151),x88152),x88153)),x88154))
% 192.07/191.94 [8816]~P63(x88161)+~P2(f317(f317(f227(x88161),f2(x88161)),x88164))+~P2(f317(f317(f227(x88161),x88162),f317(f317(f75(x88161),x88164),x88163)))+~P2(f317(f317(f227(x88161),f317(f317(f75(x88161),x88164),x88163)),x88162))+P2(f317(f317(f227(x88161),f317(f317(f281(x88161),x88162),x88163)),x88164))
% 192.07/191.94 [8999]E(f317(f317(f3(a1),f333(x89991,x89992,x89993,x89994)),f334(x89991,x89992,x89993,x89994)),x89994)+~P2(f317(f317(f227(a1),f2(a1)),x89993))+~P2(f317(f317(f319(a1),x89992),x89991))+~P2(f317(f317(f227(a1),x89994),x89992))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x89994),x89993)),x89992))
% 192.07/191.94 [9070]~P2(f317(x90701,x90702))+~P2(f317(f317(f226(a1),f2(a1)),x90703))+~P2(f317(f317(f227(a1),f2(a1)),x90704))+~P2(f317(x90701,f317(f317(f3(a1),f862(x90703,x90701,x90704)),x90704)))+P2(f317(x90701,f317(f317(f3(a1),x90702),f317(f317(f75(a1),x90703),x90704))))
% 192.07/191.94 [9071]~P2(f317(x90711,x90712))+~P2(f317(f317(f226(a1),f2(a1)),x90713))+~P2(f317(f317(f227(a1),f2(a1)),x90714))+~P2(f317(x90711,f317(f317(f74(a1),f863(x90713,x90711,x90714)),x90714)))+P2(f317(x90711,f317(f317(f74(a1),x90712),f317(f317(f75(a1),x90713),x90714))))
% 192.07/191.94 [9221]~P2(f317(f317(f227(a1),f2(a1)),x92213))+~P2(f317(f317(f319(a1),x92212),x92211))+~P2(f317(f317(f227(a1),x92214),x92212))+P2(f317(f317(f319(a1),f333(x92211,x92212,x92213,x92214)),x92211))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x92214),x92213)),x92212))
% 192.07/191.94 [9240]E(f317(f317(f3(a1),f894(x92401,x92402,x92403,x92404)),f895(x92401,x92402,x92403,x92404)),x92404)+~P2(f317(f317(f227(a1),f2(a1)),x92403))+~P2(f317(f317(f226(a1),x92404),x92402))+~P2(f317(f317(f319(a1),f317(f317(f74(a1),x92402),f72(a1))),x92401))+P2(f317(f317(f226(a1),f317(f317(f74(a1),x92404),x92403)),x92402))
% 192.07/191.94 [9268]~P2(f317(f317(f227(a1),f2(a1)),x92682))+~P2(f317(f317(f319(a1),x92683),x92684))+~P2(f317(f317(f227(a1),x92681),x92683))+P2(f317(f317(f319(a1),f334(x92684,x92683,x92682,x92681)),f293(a1,f72(a1),x92682)))+P2(f317(f317(f227(a1),f317(f317(f74(a1),x92681),x92682)),x92683))
% 192.07/191.94 [9359]~P2(f317(f317(f227(a1),f2(a1)),x93593))+~P2(f317(f317(f226(a1),x93594),x93592))+P2(f317(f317(f319(a1),f894(x93591,x93592,x93593,x93594)),x93591))+~P2(f317(f317(f319(a1),f317(f317(f74(a1),x93592),f72(a1))),x93591))+P2(f317(f317(f226(a1),f317(f317(f74(a1),x93594),x93593)),x93592))
% 192.07/191.94 [9407]~P2(f317(f317(f227(a1),f2(a1)),x94072))+~P2(f317(f317(f226(a1),x94071),x94073))+P2(f317(f317(f319(a1),f895(x94074,x94073,x94072,x94071)),f293(a1,f72(a1),x94072)))+~P2(f317(f317(f319(a1),f317(f317(f74(a1),x94073),f72(a1))),x94074))+P2(f317(f317(f226(a1),f317(f317(f74(a1),x94071),x94072)),x94073))
% 192.07/191.94 [9710]~P37(x97101,x97103)+~P27(x97101,x97104)+P37(x97101,f317(f317(f100(f910(f909(x97101,x97101),a898)),x97102),x97103))+~P2(f317(f317(f226(f910(f909(x97101,x97101),a898)),x97102),f317(f241(f910(f909(x97101,x97101),a898),f910(f909(x97101,x97101),a898)),x97104)))+~P2(f317(f317(f226(f910(f909(x97101,x97101),a898)),x97103),f317(f246(f910(f909(x97101,x97101),a898),f910(f909(x97101,x97101),a898)),x97104)))
% 192.07/191.94 [10100]~P19(x101002,x101004,x101003)+E(x101001,f178(f910(x101002,a898)))+~P2(f317(f29(x101002),x101001))+P2(f317(f317(f319(x101002),f317(x101003,x101001)),x101001))+~P2(f317(f317(f319(x101002),f317(f317(x101004,f425(x101001,x101003,x101004,x101002)),f433(x101001,x101003,x101004,x101002))),f317(f317(f299(x101002),f425(x101001,x101003,x101004,x101002)),f317(f317(f299(x101002),f433(x101001,x101003,x101004,x101002)),f178(f910(x101002,a898))))))
% 192.07/191.94 [10024]~P109(x100242)+~P60(x100241)+~P2(f317(f317(f226(f910(x100241,x100242)),x100243),x100244))+P2(f317(f317(f227(f910(x100241,x100242)),x100243),x100244))+~P2(f317(f52(x100241),f317(f317(f10(a898,a898,x100241),a312),f317(f317(f20(x100241,x100242,a898),f317(f317(f10(x100242,f910(x100242,a898),x100241),a314),x100243)),x100244))))
% 192.07/191.94 [9624]~P54(x96241,x96241,x96244)+P2(f317(f317(f319(f909(x96241,x96241)),f317(f317(f242(x96241,x96241),x96242),x96243)),f297(x96241,x96244)))+P2(f317(f317(f319(f909(x96241,x96241)),f317(f317(f242(x96241,x96241),x96243),x96242)),f297(x96241,x96244)))+~P2(f317(f317(f319(f909(x96241,x96241)),f317(f317(f242(x96241,x96241),x96245),x96242)),f297(x96241,x96244)))+~P2(f317(f317(f319(f909(x96241,x96241)),f317(f317(f242(x96241,x96241),x96245),x96243)),f297(x96241,x96244)))
% 192.07/191.94 [5705]E(x57051,f2(a903))+~E(f317(f30(x57052),x57055),x57051)+E(f317(f30(x57052),x57053),f317(a102,x57051))+~E(x57053,f317(f317(f299(x57052),x57054),x57055))+P2(f317(f317(f319(x57052),x57054),x57055))
% 192.07/191.94 [5827]~P62(x58272)+E(x58271,f2(x58272))+E(x58273,f2(x58272))+~E(f317(f317(f281(x58272),x58274),x58273),f317(f317(f281(x58272),x58275),x58271))+E(f317(f317(f75(x58272),x58274),x58271),f317(f317(f75(x58272),x58275),x58273))
% 192.07/191.94 [5828]~P62(x58282)+E(x58281,f2(x58282))+E(x58283,f2(x58282))+~E(f317(f317(f75(x58282),x58284),x58283),f317(f317(f75(x58282),x58285),x58281))+E(f317(f317(f281(x58282),x58284),x58281),f317(f317(f281(x58282),x58285),x58283))
% 192.07/191.94 [5906]~E(f317(f30(x59061),x59065),x59063)+~E(x59065,f178(f910(x59061,a898)))+E(f317(f30(x59061),x59062),f317(a102,x59063))+~E(x59062,f317(f317(f299(x59061),x59064),x59065))+P2(f317(f317(f319(x59061),x59064),x59065))
% 192.07/191.94 [6147]~P118(x61472)+~E(f317(x61473,x61475),f2(x61472))+E(f317(f317(f11(x61471,x61472),x61473),x61474),f2(x61472))+~P2(f317(f29(x61471),x61474))+~P2(f317(f317(f319(x61471),x61475),x61474))
% 192.07/191.94 [6530]~P108(x65303)+E(x65301,x65302)+~E(f317(f292(x65303,x65304),x65301),f317(f292(x65303,x65305),x65302))+~P2(f317(f317(f227(x65303),x65305),x65302))+~P2(f317(f317(f227(x65303),x65304),x65301))
% 192.07/191.94 [6531]~P108(x65313)+E(x65311,x65312)+~E(f317(f292(x65313,x65311),x65314),f317(f292(x65313,x65312),x65315))+~P2(f317(f317(f227(x65313),x65312),x65315))+~P2(f317(f317(f227(x65313),x65311),x65314))
% 192.07/191.94 [7611]~P108(x76111)+~P14(x76111,f317(f317(f124(x76111),x76114),x76115))+~P2(f317(f317(f319(x76111),x76113),f317(f162(x76111),x76115)))+~P2(f317(f317(f319(x76111),x76112),f317(f162(x76111),x76114)))+P2(f317(f317(f226(x76111),x76112),x76113))
% 192.07/191.94 [8709]~P109(x87091)+~P2(f317(f317(f227(f910(x87091,a898)),f293(x87091,x87095,x87092)),f293(x87091,x87094,x87093)))+~P2(f317(f317(f226(x87091),x87095),x87092))+P2(f317(f317(f227(x87091),x87092),x87093))+P2(f317(f317(f227(x87091),x87094),x87095))
% 192.07/191.94 [10143]~P18(x101432,x101435,x101433)+E(x101431,f178(f910(x101432,a898)))+~E(f317(f317(x101435,f317(x101434,f338(x101431,x101434,x101433,x101435,x101432))),f317(x101434,f351(x101431,x101434,x101433,x101435,x101432))),f317(x101434,f317(f317(x101435,f338(x101431,x101434,x101433,x101435,x101432)),f351(x101431,x101434,x101433,x101435,x101432))))+E(f317(x101433,f317(f300(x101432,x101432,x101434),x101431)),f317(x101434,f317(x101433,x101431)))+~P2(f317(f29(x101432),x101431))
% 192.07/191.94 [6527]~P19(x65272,x65275,x65273)+E(x65271,f178(f910(x65272,a898)))+~P2(f317(f29(x65272),x65271))+E(f317(x65273,f317(f317(f299(x65272),x65274),x65271)),f317(f317(x65275,x65274),f317(x65273,x65271)))+P2(f317(f317(f319(x65272),x65274),x65271))
% 192.07/191.94 [7372]~P18(x73722,x73723,x73724)+E(f317(f317(x73723,f317(x73724,x73721)),f317(x73724,x73725)),f317(x73724,x73725))+E(x73721,f178(f910(x73722,a898)))+~P2(f317(f29(x73722),x73725))+~P2(f317(f317(f226(f910(x73722,a898)),x73721),x73725))
% 192.07/191.94 [7748]~P19(x77484,x77485,x77481)+E(f317(x77481,x77482),x77483)+~P2(f317(f29(x77484),x77482))+~E(f317(f317(f3(f910(x77484,a898)),x77482),f317(f317(f299(x77484),x77483),f178(f910(x77484,a898)))),f178(f910(x77484,a898)))+~P2(f317(f317(f319(x77484),x77483),x77482))
% 192.07/191.94 [8630]~P71(x86301)+~P121(x86301)+~P2(f317(f29(x86302),x86305))+P2(f317(f317(f277(x86301),f317(f317(f11(x86302,x86301),x86303),x86304)),f317(f317(f11(x86302,x86301),x86303),x86305)))+~P2(f317(f317(f226(f910(x86302,a898)),x86304),x86305))
% 192.07/191.94 [8679]E(x86791,x86792)+~P9(x86793,x86794,x86795)+E(f317(f317(f91(f910(x86793,a898)),x86791),x86792),f178(f910(x86793,a898)))+~P2(f317(f317(f319(f910(x86793,a898)),x86792),f317(f317(f56(x86793),x86794),x86795)))+~P2(f317(f317(f319(f910(x86793,a898)),x86791),f317(f317(f56(x86793),x86794),x86795)))
% 192.07/191.94 [9490]~P71(x94902)+~E(f317(x94903,f374(x94903,x94904,x94905,x94901,x94902)),f72(x94902))+E(f317(f317(f11(x94901,x94902),x94903),x94904),f317(f317(f11(x94901,x94902),x94903),x94905))+~P2(f317(f29(x94901),x94905))+~P2(f317(f317(f226(f910(x94901,a898)),x94904),x94905))
% 192.07/191.94 [9491]~P71(x94912)+~E(f317(x94913,f376(x94913,x94914,x94915,x94911,x94912)),f72(x94912))+E(f317(f317(f11(x94911,x94912),x94913),x94914),f317(f317(f11(x94911,x94912),x94913),x94915))+~P2(f317(f29(x94911),x94915))+~P2(f317(f317(f226(f910(x94911,a898)),x94914),x94915))
% 192.07/191.94 [9492]~P75(x94922)+~E(f317(x94923,f417(x94923,x94924,x94925,x94921,x94922)),f2(x94922))+E(f317(f317(f8(x94921,x94922),x94923),x94924),f317(f317(f8(x94921,x94922),x94923),x94925))+~P2(f317(f29(x94921),x94925))+~P2(f317(f317(f226(f910(x94921,a898)),x94924),x94925))
% 192.07/191.94 [9493]~P75(x94932)+~E(f317(x94933,f422(x94933,x94934,x94935,x94931,x94932)),f2(x94932))+E(f317(f317(f8(x94931,x94932),x94933),x94934),f317(f317(f8(x94931,x94932),x94933),x94935))+~P2(f317(f29(x94931),x94935))+~P2(f317(f317(f226(f910(x94931,a898)),x94934),x94935))
% 192.07/191.94 [9977]~P88(x99771)+~P2(f317(f29(x99772),x99775))+~P2(f317(f317(f226(x99771),f2(x99771)),f317(x99773,f411(x99773,x99774,x99775,x99772,x99771))))+P2(f317(f317(f226(x99771),f317(f317(f8(x99772,x99771),x99773),x99774)),f317(f317(f8(x99772,x99771),x99773),x99775)))+~P2(f317(f317(f226(f910(x99772,a898)),x99774),x99775))
% 192.07/191.94 [7608]E(x76081,f2(a903))+P2(f317(x76082,x76083))+~E(x76084,f317(f317(f74(a903),f317(f317(f75(a903),x76081),x76083)),x76085))+~P2(f317(f317(f227(a903),x76085),x76081))+~P2(f317(x76082,f317(f317(f31(a903),x76084),x76081)))
% 192.07/191.94 [7686]E(x76861,f2(a903))+P2(f317(x76862,x76863))+~P2(f317(x76862,f41(a903,x76864,x76861)))+~E(x76864,f317(f317(f74(a903),f317(f317(f75(a903),x76861),x76865)),x76863))+~P2(f317(f317(f227(a903),x76863),x76861))
% 192.07/191.94 [7980]~P62(x79803)+E(f317(x79801,x79802),f2(x79803))+~P2(f317(f29(x79804),x79805))+E(f317(f317(f11(x79804,x79803),x79801),f317(f317(f3(f910(x79804,a898)),x79805),f317(f317(f299(x79804),x79802),f178(f910(x79804,a898))))),f317(f317(f11(x79804,x79803),x79801),x79805))+P2(f317(f317(f319(x79804),x79802),x79805))
% 192.07/191.94 [8378]~P71(x83781)+~P2(f317(f29(x83782),x83785))+~P2(f317(f29(x83782),x83784))+~E(f317(f317(f91(f910(x83782,a898)),x83784),x83785),f178(f910(x83782,a898)))+E(f317(f317(f75(x83781),f317(f317(f11(x83782,x83781),x83783),x83784)),f317(f317(f11(x83782,x83781),x83783),x83785)),f317(f317(f11(x83782,x83781),x83783),f317(f317(f100(f910(x83782,a898)),x83784),x83785)))
% 192.07/191.94 [8379]~P75(x83791)+~P2(f317(f29(x83792),x83795))+~P2(f317(f29(x83792),x83794))+~E(f317(f317(f91(f910(x83792,a898)),x83794),x83795),f178(f910(x83792,a898)))+E(f317(f317(f74(x83791),f317(f317(f8(x83792,x83791),x83793),x83794)),f317(f317(f8(x83792,x83791),x83793),x83795)),f317(f317(f8(x83792,x83791),x83793),f317(f317(f100(f910(x83792,a898)),x83794),x83795)))
% 192.07/191.94 [8478]~P62(x84783)+E(f317(x84781,x84782),f2(x84783))+~P2(f317(f29(x84784),x84785))+E(f317(f317(f11(x84784,x84783),x84781),f317(f317(f3(f910(x84784,a898)),x84785),f317(f317(f299(x84784),x84782),f178(f910(x84784,a898))))),f317(f317(f281(x84783),f317(f317(f11(x84784,x84783),x84781),x84785)),f317(x84781,x84782)))+~P2(f317(f317(f319(x84784),x84782),x84785))
% 192.07/191.94 [9198]~P9(x91981,x91985,x91984)+~E(f317(f317(f56(x91981),f317(f317(f299(x91981),x91982),f178(f910(x91981,a898)))),x91984),f317(f317(f56(x91981),f317(f317(f299(x91981),x91983),f178(f910(x91981,a898)))),x91984))+~P2(f317(f317(f319(x91981),x91983),x91985))+~P2(f317(f317(f319(x91981),x91982),x91985))+P2(f317(f317(f319(f909(x91981,x91981)),f317(f317(f242(x91981,x91981),x91982),x91983)),x91984))
% 192.07/191.94 [9220]~P9(x92201,x92205,x92203)+E(f317(f317(f56(x92201),f317(f317(f299(x92201),x92202),f178(f910(x92201,a898)))),x92203),f317(f317(f56(x92201),f317(f317(f299(x92201),x92204),f178(f910(x92201,a898)))),x92203))+~P2(f317(f317(f319(x92201),x92204),x92205))+~P2(f317(f317(f319(x92201),x92202),x92205))+~P2(f317(f317(f319(f909(x92201,x92201)),f317(f317(f242(x92201,x92201),x92202),x92204)),x92203))
% 192.07/191.94 [9519]~P71(x95191)+~P2(f317(f29(x95192),x95195))+~P2(f317(f29(x95192),x95194))+~E(f317(f317(f91(f910(x95192,a898)),x95194),x95195),f178(f910(x95192,a898)))+E(f317(f317(f75(x95191),f317(f317(f317(f60(x95191,x95192,f75(x95191)),x95193),f72(x95191)),x95194)),f317(f317(f317(f60(x95191,x95192,f75(x95191)),x95193),f72(x95191)),x95195)),f317(f317(f317(f60(x95191,x95192,f75(x95191)),x95193),f72(x95191)),f317(f317(f100(f910(x95192,a898)),x95194),x95195)))
% 192.07/191.94 [9530]~P71(x95301)+~E(f317(x95303,f385(x95303,x95305,x95304,x95302,x95301)),f72(x95301))+~P2(f317(f29(x95302),x95304))+~P2(f317(f29(x95302),x95305))+E(f317(f317(f75(x95301),f317(f317(f11(x95302,x95301),x95303),x95304)),f317(f317(f11(x95302,x95301),x95303),x95305)),f317(f317(f11(x95302,x95301),x95303),f317(f317(f100(f910(x95302,a898)),x95304),x95305)))
% 192.07/191.94 [9531]~P71(x95311)+~E(f317(x95313,f388(x95313,x95315,x95314,x95312,x95311)),f72(x95311))+~P2(f317(f29(x95312),x95314))+~P2(f317(f29(x95312),x95315))+E(f317(f317(f75(x95311),f317(f317(f11(x95312,x95311),x95313),x95314)),f317(f317(f11(x95312,x95311),x95313),x95315)),f317(f317(f11(x95312,x95311),x95313),f317(f317(f100(f910(x95312,a898)),x95314),x95315)))
% 192.07/191.94 [9532]~P75(x95321)+~E(f317(x95323,f409(x95323,x95325,x95324,x95322,x95321)),f2(x95321))+~P2(f317(f29(x95322),x95324))+~P2(f317(f29(x95322),x95325))+E(f317(f317(f74(x95321),f317(f317(f8(x95322,x95321),x95323),x95324)),f317(f317(f8(x95322,x95321),x95323),x95325)),f317(f317(f8(x95322,x95321),x95323),f317(f317(f100(f910(x95322,a898)),x95324),x95325)))
% 192.07/191.94 [9533]~P75(x95331)+~E(f317(x95333,f418(x95333,x95335,x95334,x95332,x95331)),f2(x95331))+~P2(f317(f29(x95332),x95334))+~P2(f317(f29(x95332),x95335))+E(f317(f317(f74(x95331),f317(f317(f8(x95332,x95331),x95333),x95334)),f317(f317(f8(x95332,x95331),x95333),x95335)),f317(f317(f8(x95332,x95331),x95333),f317(f317(f100(f910(x95332,a898)),x95334),x95335)))
% 192.07/191.94 [9753]~P71(x97531)+~E(f317(x97533,f387(x97533,x97535,x97534,x97532,x97531)),f72(x97531))+~P2(f317(f29(x97532),x97534))+~P2(f317(f29(x97532),x97535))+E(f317(f317(f75(x97531),f317(f317(f317(f60(x97531,x97532,f75(x97531)),x97533),f72(x97531)),x97534)),f317(f317(f317(f60(x97531,x97532,f75(x97531)),x97533),f72(x97531)),x97535)),f317(f317(f317(f60(x97531,x97532,f75(x97531)),x97533),f72(x97531)),f317(f317(f100(f910(x97532,a898)),x97534),x97535)))
% 192.07/191.94 [9864]~P71(x98642)+E(f317(f317(f11(x98641,x98642),x98643),x98644),f317(f317(f11(x98641,x98642),x98643),x98645))+~P2(f317(f29(x98641),x98645))+~P2(f317(f317(f226(f910(x98641,a898)),x98644),x98645))+P2(f317(f317(f319(x98641),f374(x98643,x98644,x98645,x98641,x98642)),f317(f317(f3(f910(x98641,a898)),x98645),x98644)))
% 192.07/191.94 [9865]~P71(x98652)+E(f317(f317(f11(x98651,x98652),x98653),x98654),f317(f317(f11(x98651,x98652),x98653),x98655))+~P2(f317(f29(x98651),x98655))+~P2(f317(f317(f226(f910(x98651,a898)),x98654),x98655))+P2(f317(f317(f319(x98651),f376(x98653,x98654,x98655,x98651,x98652)),f317(f317(f3(f910(x98651,a898)),x98655),x98654)))
% 192.07/191.94 [9866]~P75(x98662)+E(f317(f317(f8(x98661,x98662),x98663),x98664),f317(f317(f8(x98661,x98662),x98663),x98665))+~P2(f317(f29(x98661),x98665))+~P2(f317(f317(f226(f910(x98661,a898)),x98664),x98665))+P2(f317(f317(f319(x98661),f417(x98663,x98664,x98665,x98661,x98662)),f317(f317(f3(f910(x98661,a898)),x98665),x98664)))
% 192.07/191.94 [9867]~P75(x98672)+E(f317(f317(f8(x98671,x98672),x98673),x98674),f317(f317(f8(x98671,x98672),x98673),x98675))+~P2(f317(f29(x98671),x98675))+~P2(f317(f317(f226(f910(x98671,a898)),x98674),x98675))+P2(f317(f317(f319(x98671),f422(x98673,x98674,x98675,x98671,x98672)),f317(f317(f3(f910(x98671,a898)),x98675),x98674)))
% 192.07/191.94 [9886]~P71(x98861)+~P2(f317(f29(x98862),x98864))+~P2(f317(f29(x98862),x98865))+E(f317(f317(f75(x98861),f317(f317(f11(x98862,x98861),x98863),x98864)),f317(f317(f11(x98862,x98861),x98863),x98865)),f317(f317(f11(x98862,x98861),x98863),f317(f317(f100(f910(x98862,a898)),x98864),x98865)))+P2(f317(f317(f319(x98862),f385(x98863,x98865,x98864,x98862,x98861)),f317(f317(f91(f910(x98862,a898)),x98864),x98865)))
% 192.07/191.94 [9887]~P71(x98871)+~P2(f317(f29(x98872),x98874))+~P2(f317(f29(x98872),x98875))+E(f317(f317(f75(x98871),f317(f317(f11(x98872,x98871),x98873),x98874)),f317(f317(f11(x98872,x98871),x98873),x98875)),f317(f317(f11(x98872,x98871),x98873),f317(f317(f100(f910(x98872,a898)),x98874),x98875)))+P2(f317(f317(f319(x98872),f388(x98873,x98875,x98874,x98872,x98871)),f317(f317(f91(f910(x98872,a898)),x98874),x98875)))
% 192.07/191.94 [9888]~P75(x98881)+~P2(f317(f29(x98882),x98884))+~P2(f317(f29(x98882),x98885))+E(f317(f317(f74(x98881),f317(f317(f8(x98882,x98881),x98883),x98884)),f317(f317(f8(x98882,x98881),x98883),x98885)),f317(f317(f8(x98882,x98881),x98883),f317(f317(f100(f910(x98882,a898)),x98884),x98885)))+P2(f317(f317(f319(x98882),f409(x98883,x98885,x98884,x98882,x98881)),f317(f317(f91(f910(x98882,a898)),x98884),x98885)))
% 192.07/191.94 [9889]~P75(x98891)+~P2(f317(f29(x98892),x98894))+~P2(f317(f29(x98892),x98895))+E(f317(f317(f74(x98891),f317(f317(f8(x98892,x98891),x98893),x98894)),f317(f317(f8(x98892,x98891),x98893),x98895)),f317(f317(f8(x98892,x98891),x98893),f317(f317(f100(f910(x98892,a898)),x98894),x98895)))+P2(f317(f317(f319(x98892),f418(x98893,x98895,x98894,x98892,x98891)),f317(f317(f91(f910(x98892,a898)),x98894),x98895)))
% 192.07/191.94 [9895]~P88(x98955)+~P2(f317(f29(x98951),x98954))+P2(f317(f317(f226(x98955),f317(f317(f8(x98951,x98955),x98952),x98953)),f317(f317(f8(x98951,x98955),x98952),x98954)))+~P2(f317(f317(f226(f910(x98951,a898)),x98953),x98954))+P2(f317(f317(f319(x98951),f411(x98952,x98953,x98954,x98951,x98955)),f317(f317(f3(f910(x98951,a898)),x98954),x98953)))
% 192.07/191.94 [9939]~P71(x99391)+~P2(f317(f29(x99392),x99394))+~P2(f317(f29(x99392),x99395))+E(f317(f317(f75(x99391),f317(f317(f317(f60(x99391,x99392,f75(x99391)),x99393),f72(x99391)),x99394)),f317(f317(f317(f60(x99391,x99392,f75(x99391)),x99393),f72(x99391)),x99395)),f317(f317(f317(f60(x99391,x99392,f75(x99391)),x99393),f72(x99391)),f317(f317(f100(f910(x99392,a898)),x99394),x99395)))+P2(f317(f317(f319(x99392),f387(x99393,x99395,x99394,x99392,x99391)),f317(f317(f91(f910(x99392,a898)),x99394),x99395)))
% 192.07/191.94 [8888]~P19(x88881,x88884,x88885)+~P2(f317(f29(x88881),x88882))+E(f317(f317(f3(f910(x88881,a898)),x88882),f317(f317(f299(x88881),x88883),f178(f910(x88881,a898)))),f178(f910(x88881,a898)))+~P2(f317(f317(f319(x88881),x88883),x88882))+E(f317(f317(x88884,x88883),f317(x88885,f317(f317(f3(f910(x88881,a898)),x88882),f317(f317(f299(x88881),x88883),f178(f910(x88881,a898)))))),f317(x88885,x88882))
% 192.07/191.94 [8966]~P19(x89661,x89664,x89665)+~P2(f317(f29(x89661),x89663))+~P2(f317(f29(x89661),x89662))+E(f317(f317(f91(f910(x89661,a898)),x89662),x89663),f178(f910(x89661,a898)))+E(f317(f317(x89664,f317(x89665,f317(f317(f100(f910(x89661,a898)),x89662),x89663))),f317(x89665,f317(f317(f91(f910(x89661,a898)),x89662),x89663))),f317(f317(x89664,f317(x89665,x89662)),f317(x89665,x89663)))
% 192.07/191.94 [9535]~P2(f317(f317(f226(a1),x95354),f2(a1)))+~P2(f317(f317(f227(a1),x95353),x95355))+P2(f317(f317(f226(a1),x95351),x95352))+~P2(f317(f317(f227(a1),x95353),x95354))+~P2(f317(f317(f226(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95353),x95352)),x95355)),f317(f317(f74(a1),f317(f317(f75(a1),x95353),x95351)),x95354)))
% 192.07/191.94 [9537]~P2(f317(f317(f226(a1),f2(a1)),x95375))+P2(f317(f317(f226(a1),x95371),x95372))+~P2(f317(f317(f227(a1),x95373),x95374))+~P2(f317(f317(f227(a1),x95375),x95374))+~P2(f317(f317(f226(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95374),x95371)),x95375)),f317(f317(f74(a1),f317(f317(f75(a1),x95374),x95372)),x95373)))
% 192.07/191.94 [9662]~P62(x96625)+E(f317(x96621,f386(x96621,x96622,x96623,x96624,x96625)),f2(x96625))+~P2(f317(f29(x96624),x96623))+~P2(f317(f29(x96624),x96622))+E(f317(f317(f281(x96625),f317(f317(f75(x96625),f317(f317(f11(x96624,x96625),x96621),x96623)),f317(f317(f11(x96624,x96625),x96621),x96622))),f317(f317(f11(x96624,x96625),x96621),f317(f317(f91(f910(x96624,a898)),x96623),x96622))),f317(f317(f11(x96624,x96625),x96621),f317(f317(f100(f910(x96624,a898)),x96623),x96622)))
% 192.07/191.94 [9931]~P62(x99311)+~P2(f317(f29(x99312),x99314))+~P2(f317(f29(x99312),x99315))+E(f317(f317(f281(x99311),f317(f317(f75(x99311),f317(f317(f11(x99312,x99311),x99313),x99314)),f317(f317(f11(x99312,x99311),x99313),x99315))),f317(f317(f11(x99312,x99311),x99313),f317(f317(f91(f910(x99312,a898)),x99314),x99315))),f317(f317(f11(x99312,x99311),x99313),f317(f317(f100(f910(x99312,a898)),x99314),x99315)))+P2(f317(f317(f319(x99312),f386(x99313,x99315,x99314,x99312,x99311)),f317(f317(f91(f910(x99312,a898)),x99314),x99315)))
% 192.07/191.94 [9239]E(f317(f317(f124(x92391),x92392),x92393),f317(f317(f124(x92391),x92394),x92395))+~E(f317(f317(f165(x92391),f317(f179(f904(x92391)),x92394)),x92392),x92394)+~E(f317(f317(f165(x92391),f317(f179(f904(x92391)),x92392)),x92394),x92392)+~E(x92395,f317(f317(f124(x92391),f317(f317(f128(x92391),f317(f179(f904(x92391)),x92394)),x92392)),x92393))+~E(f317(f317(f124(x92391),f317(f317(f128(x92391),f317(f179(f904(x92391)),x92392)),x92394)),x92395),x92393)
% 192.07/191.94 [9659]~P108(x96592)+E(f317(f317(f138(x96591,x96592,x96593),x96594),f160(x96591,x96594,x96595)),x96595)+~P14(x96592,f317(f317(f144(x96591,x96592),x96593),x96595))+~P2(f317(f317(f319(x96591),x96594),f317(f162(x96591),x96595)))+~E(f317(f131(x96591),f317(f126(x96591,f317(f317(f10(x96592,a898,x96591),f317(a314,f317(x96593,x96594))),x96593)),x96595)),x96594)
% 192.07/191.94 [9995]~P69(x99951)+~P2(f317(f61(x99951,x99951,f75(x99951),x99952,x99953),x99955))+~P2(f317(f317(f319(x99951),x99954),x99953))+P2(f317(f317(f319(x99951),x99952),x99953))+P2(f317(f61(x99951,x99951,f75(x99951),x99954,f317(f317(f299(x99951),x99952),f317(f317(f3(f910(x99951,a898)),x99953),f317(f317(f299(x99951),x99954),f178(f910(x99951,a898)))))),x99955))
% 192.07/191.94 [7380]E(x73801,x73802)+~P25(x73804,x73805,x73803,x73806)+~E(f317(x73803,x73801),f317(x73803,x73802))+~P2(f317(f317(f319(x73804),x73802),x73806))+~P2(f317(f317(f319(x73804),x73801),x73806))
% 192.07/191.94 [6623]~P143(x66234)+E(x66231,x66232)+~E(x66235,x66236)+E(x66233,f2(x66234))+~E(f317(f317(f74(x66234),x66235),f317(f317(f75(x66234),x66233),x66231)),f317(f317(f74(x66234),x66236),f317(f317(f75(x66234),x66233),x66232)))
% 192.07/191.94 [7666]~P108(x76661)+~P6(x76661)+~P2(f317(f317(f227(x76661),x76662),f317(x76665,x76666)))+~P2(f317(f317(f319(x76663),x76666),x76664))+P2(f317(f317(f227(x76661),x76662),f317(f317(f36(x76663,x76661),x76664),x76665)))
% 192.07/191.94 [9991]~P25(x99912,x99911,x99913,x99914)+~P25(x99911,x99912,x99916,x99915)+P26(x99911,x99912,f810(x99913,x99914,x99915,x99916,x99912,x99911),x99915,x99914)+~P2(f317(f317(f226(f910(x99912,a898)),f317(f300(x99911,x99912,x99916),x99915)),x99914))+~P2(f317(f317(f226(f910(x99911,a898)),f317(f300(x99912,x99911,x99913),x99914)),x99915))
% 192.07/191.94 [8347]~P108(x83471)+~P6(x83471)+~P2(f317(f317(f227(x83471),f317(x83474,x83476)),x83475))+~P2(f317(f317(f319(x83472),x83476),x83473))+P2(f317(f317(f227(x83471),f317(f317(f35(x83472,x83471),x83473),x83474)),x83475))
% 192.07/191.94 [8602]~P20(x86022,x86025,x86026,x86021)+~P2(f317(f29(x86022),x86024))+~P2(f317(f29(x86022),x86023))+~E(f317(f317(f91(f910(x86022,a898)),x86023),x86024),f178(f910(x86022,a898)))+E(f317(x86021,f317(f317(f100(f910(x86022,a898)),x86023),x86024)),f317(f67(x86025,x86025,x86025,f317(x86021,x86023)),f317(x86021,x86024)))
% 192.07/191.94 [10202]~P71(x102021)+~E(f800(x102024,x102025,x102023,x102026,x102022,x102021),f801(x102024,x102025,x102023,x102026,x102022,x102021))+~P2(f317(f29(x102022),x102026))+E(f317(f317(f317(f60(x102021,x102022,f75(x102021)),f317(f317(f10(f910(x102023,a898),x102021,x102022),f317(f317(f60(x102021,x102023,f75(x102021)),x102024),f72(x102021))),x102025)),f72(x102021)),x102026),f317(f317(f317(f60(x102021,x102023,f75(x102021)),x102024),f72(x102021)),f317(f317(f36(x102022,f910(x102023,a898)),x102026),x102025)))+P2(f317(f317(f319(x102022),f798(x102024,x102025,x102023,x102026,x102022,x102021)),x102026))
% 192.07/191.94 [10232]~P71(x102321)+~E(f800(x102324,x102325,x102323,x102326,x102322,x102321),f801(x102324,x102325,x102323,x102326,x102322,x102321))+~P2(f317(f29(x102322),x102326))+E(f317(f317(f317(f60(x102321,x102322,f75(x102321)),f317(f317(f10(f910(x102323,a898),x102321,x102322),f317(f317(f60(x102321,x102323,f75(x102321)),x102324),f72(x102321))),x102325)),f72(x102321)),x102326),f317(f317(f317(f60(x102321,x102323,f75(x102321)),x102324),f72(x102321)),f317(f317(f36(x102322,f910(x102323,a898)),x102326),x102325)))+~P2(f317(f29(x102323),f317(x102325,f798(x102324,x102325,x102323,x102326,x102322,x102321))))
% 192.07/191.94 [10235]~P71(x102351)+~P2(f317(f29(x102352),x102356))+E(f317(f317(f317(f60(x102351,x102352,f75(x102351)),f317(f317(f10(f910(x102353,a898),x102351,x102352),f317(f317(f60(x102351,x102353,f75(x102351)),x102354),f72(x102351))),x102355)),f72(x102351)),x102356),f317(f317(f317(f60(x102351,x102353,f75(x102351)),x102354),f72(x102351)),f317(f317(f36(x102352,f910(x102353,a898)),x102356),x102355)))+P2(f317(f317(f319(x102352),f798(x102354,x102355,x102353,x102356,x102352,x102351)),x102356))+P2(f317(f317(f319(x102352),f801(x102354,x102355,x102353,x102356,x102352,x102351)),x102356))
% 192.07/191.94 [10236]~P71(x102361)+~P2(f317(f29(x102362),x102366))+E(f317(f317(f317(f60(x102361,x102362,f75(x102361)),f317(f317(f10(f910(x102363,a898),x102361,x102362),f317(f317(f60(x102361,x102363,f75(x102361)),x102364),f72(x102361))),x102365)),f72(x102361)),x102366),f317(f317(f317(f60(x102361,x102363,f75(x102361)),x102364),f72(x102361)),f317(f317(f36(x102362,f910(x102363,a898)),x102366),x102365)))+P2(f317(f317(f319(x102362),f798(x102364,x102365,x102363,x102366,x102362,x102361)),x102366))+P2(f317(f317(f319(x102362),f800(x102364,x102365,x102363,x102366,x102362,x102361)),x102366))
% 192.07/191.94 [10255]~P71(x102551)+~P2(f317(f29(x102552),x102556))+E(f317(f317(f317(f60(x102551,x102552,f75(x102551)),f317(f317(f10(f910(x102553,a898),x102551,x102552),f317(f317(f60(x102551,x102553,f75(x102551)),x102554),f72(x102551))),x102555)),f72(x102551)),x102556),f317(f317(f317(f60(x102551,x102553,f75(x102551)),x102554),f72(x102551)),f317(f317(f36(x102552,f910(x102553,a898)),x102556),x102555)))+P2(f317(f317(f319(x102552),f801(x102554,x102555,x102553,x102556,x102552,x102551)),x102556))+~P2(f317(f29(x102553),f317(x102555,f798(x102554,x102555,x102553,x102556,x102552,x102551))))
% 192.07/191.94 [10256]~P71(x102561)+~P2(f317(f29(x102562),x102566))+E(f317(f317(f317(f60(x102561,x102562,f75(x102561)),f317(f317(f10(f910(x102563,a898),x102561,x102562),f317(f317(f60(x102561,x102563,f75(x102561)),x102564),f72(x102561))),x102565)),f72(x102561)),x102566),f317(f317(f317(f60(x102561,x102563,f75(x102561)),x102564),f72(x102561)),f317(f317(f36(x102562,f910(x102563,a898)),x102566),x102565)))+P2(f317(f317(f319(x102562),f800(x102564,x102565,x102563,x102566,x102562,x102561)),x102566))+~P2(f317(f29(x102563),f317(x102565,f798(x102564,x102565,x102563,x102566,x102562,x102561))))
% 192.07/191.94 [10267]~P71(x102671)+~E(f317(f317(f91(f910(x102673,a898)),f317(x102675,f801(x102674,x102675,x102673,x102676,x102672,x102671))),f317(x102675,f800(x102674,x102675,x102673,x102676,x102672,x102671))),f178(f910(x102673,a898)))+~P2(f317(f29(x102672),x102676))+E(f317(f317(f317(f60(x102671,x102672,f75(x102671)),f317(f317(f10(f910(x102673,a898),x102671,x102672),f317(f317(f60(x102671,x102673,f75(x102671)),x102674),f72(x102671))),x102675)),f72(x102671)),x102676),f317(f317(f317(f60(x102671,x102673,f75(x102671)),x102674),f72(x102671)),f317(f317(f36(x102672,f910(x102673,a898)),x102676),x102675)))+P2(f317(f317(f319(x102672),f798(x102674,x102675,x102673,x102676,x102672,x102671)),x102676))
% 192.07/191.94 [10278]~P71(x102781)+~E(f317(f317(f91(f910(x102783,a898)),f317(x102785,f801(x102784,x102785,x102783,x102786,x102782,x102781))),f317(x102785,f800(x102784,x102785,x102783,x102786,x102782,x102781))),f178(f910(x102783,a898)))+~P2(f317(f29(x102782),x102786))+E(f317(f317(f317(f60(x102781,x102782,f75(x102781)),f317(f317(f10(f910(x102783,a898),x102781,x102782),f317(f317(f60(x102781,x102783,f75(x102781)),x102784),f72(x102781))),x102785)),f72(x102781)),x102786),f317(f317(f317(f60(x102781,x102783,f75(x102781)),x102784),f72(x102781)),f317(f317(f36(x102782,f910(x102783,a898)),x102786),x102785)))+~P2(f317(f29(x102783),f317(x102785,f798(x102784,x102785,x102783,x102786,x102782,x102781))))
% 192.07/191.94 [9329]~P116(x93291)+~P121(x93291)+~P2(f317(f317(f277(x93291),x93292),x93295))+~P2(f317(f317(f277(x93291),x93292),f317(f317(f74(x93291),x93293),x93296)))+P2(f317(f317(f277(x93291),x93292),f317(f317(f74(x93291),f317(f317(f3(x93291),x93293),f317(f317(f75(x93291),x93294),x93295))),x93296)))
% 192.07/191.94 [9524]~P116(x95241)+~P121(x95241)+~P2(f317(f317(f277(x95241),x95242),x95245))+P2(f317(f317(f277(x95241),x95242),f317(f317(f74(x95241),x95243),x95244)))+~P2(f317(f317(f277(x95241),x95242),f317(f317(f74(x95241),f317(f317(f3(x95241),x95243),f317(f317(f75(x95241),x95246),x95245))),x95244)))
% 192.07/191.94 [8936]E(x89361,x89362)+~P56(x89364,x89365,x89366,x89363,x89367)+~E(f317(x89363,x89361),f317(x89363,x89362))+~P2(f317(f317(f319(x89365),x89362),x89367))+~P2(f317(f317(f319(x89365),x89361),x89367))
% 192.07/191.94 [10243]~P2(f317(x102432,x102434))+~E(x102435,f317(f126(x102431,x102432),x102437))+E(f317(f126(x102431,x102432),x102433),f317(f317(f141(x102431),x102434),x102435))+~E(x102433,f317(f317(f124(x102431),x102436),f317(f317(f141(x102431),x102434),x102437)))+P2(f317(x102432,f688(x102435,x102434,x102433,x102432,x102431,x102436,x102437)))
% 192.07/191.94 [10244]~P2(f317(x102444,x102442))+~E(x102443,f317(f126(x102441,x102444),x102447))+E(f317(f317(f141(x102441),x102442),x102443),f317(f126(x102441,x102444),x102445))+~E(x102445,f317(f317(f124(x102441),x102446),f317(f317(f141(x102441),x102442),x102447)))+P2(f317(x102444,f690(x102445,x102444,x102443,x102442,x102441,x102446,x102447)))
% 192.07/191.94 [10294]~P2(f317(x102942,x102944))+~E(x102945,f317(f126(x102941,x102942),x102947))+E(f317(f126(x102941,x102942),x102943),f317(f317(f141(x102941),x102944),x102945))+~E(x102943,f317(f317(f124(x102941),x102946),f317(f317(f141(x102941),x102944),x102947)))+P2(f317(f317(f319(x102941),f688(x102945,x102944,x102943,x102942,x102941,x102946,x102947)),f317(f162(x102941),x102946)))
% 192.07/191.94 [10295]~P2(f317(x102954,x102952))+~E(x102953,f317(f126(x102951,x102954),x102957))+E(f317(f317(f141(x102951),x102952),x102953),f317(f126(x102951,x102954),x102955))+~E(x102955,f317(f317(f124(x102951),x102956),f317(f317(f141(x102951),x102952),x102957)))+P2(f317(f317(f319(x102951),f690(x102955,x102954,x102953,x102952,x102951,x102956,x102957)),f317(f162(x102951),x102956)))
% 192.07/191.94 [10299]~P9(x102991,x102997,x102996)+~P12(x102991,f910(x102995,a898),x102996,x102994)+P2(f317(f317(f319(x102991),f526(x102992,x102993,x102994,x102995,x102996,x102997,x102991)),x102997))+~P2(f317(f317(f319(f910(x102991,a898)),x102993),f317(f317(f56(x102991),x102997),x102996)))+P2(f317(f317(f319(f910(x102995,a898)),f317(f317(f36(x102991,f910(x102995,a898)),x102993),x102994)),x102992))
% 192.07/191.94 [10354]~P9(x103542,x103546,x103547)+~P12(x103542,f910(x103541,a898),x103547,x103544)+~P2(f317(f317(f319(f910(x103542,a898)),x103543),f317(f317(f56(x103542),x103546),x103547)))+~P2(f317(f317(f319(f910(x103541,a898)),f317(x103544,f526(x103545,x103543,x103544,x103541,x103547,x103546,x103542))),x103545))+P2(f317(f317(f319(f910(x103541,a898)),f317(f317(f36(x103542,f910(x103541,a898)),x103543),x103544)),x103545))
% 192.07/191.94 [8521]~P71(x85212)+~P25(x85211,x85215,x85218,x85214)+~E(x85213,f317(f67(x85215,x85212,x85211,x85216),x85218))+~E(x85217,f317(f300(x85211,x85215,x85218),x85214))+E(f317(f317(f11(x85211,x85212),x85213),x85214),f317(f317(f11(x85215,x85212),x85216),x85217))
% 192.07/191.94 [10358]~P71(x103582)+~P25(x103585,x103581,x103588,x103587)+~E(f317(x103586,f375(x103583,x103586,x103584,x103587,x103588,x103581,x103585,x103582)),f317(f317(f67(x103581,x103582,x103585,x103583),x103588),f375(x103583,x103586,x103584,x103587,x103588,x103581,x103585,x103582)))+~E(x103584,f317(f300(x103585,x103581,x103588),x103587))+E(f317(f317(f11(x103581,x103582),x103583),x103584),f317(f317(f11(x103585,x103582),x103586),x103587))
% 192.07/191.94 [10361]~P71(x103612)+~P25(x103611,x103615,x103618,x103614)+~E(x103617,f317(f300(x103611,x103615,x103618),x103614))+E(f317(f317(f11(x103611,x103612),x103613),x103614),f317(f317(f11(x103615,x103612),x103616),x103617))+P2(f317(f317(f319(x103611),f375(x103616,x103613,x103617,x103614,x103618,x103615,x103611,x103612)),x103614))
% 192.07/191.94 [10362]~P75(x103622)+~P25(x103621,x103625,x103628,x103624)+~E(x103627,f317(f300(x103621,x103625,x103628),x103624))+E(f317(f317(f8(x103621,x103622),x103623),x103624),f317(f317(f8(x103625,x103622),x103626),x103627))+P2(f317(f317(f319(x103621),f429(x103626,x103623,x103627,x103624,x103628,x103625,x103621,x103622)),x103624))
% 192.07/191.94 [10367]~P75(x103672)+~P25(x103675,x103671,x103678,x103677)+~E(x103674,f317(f300(x103675,x103671,x103678),x103677))+~E(f317(x103676,f429(x103673,x103676,x103674,x103677,x103678,x103671,x103675,x103672)),f317(x103673,f317(x103678,f429(x103673,x103676,x103674,x103677,x103678,x103671,x103675,x103672))))+E(f317(f317(f8(x103671,x103672),x103673),x103674),f317(f317(f8(x103675,x103672),x103676),x103677))
% 192.07/191.94 [9826]~P24(x98266,x98262,x98265,x98267,x98268,x98261)+~P2(f317(f29(x98262),x98264))+~P2(f317(f29(x98262),x98263))+~E(f317(f317(f91(f910(x98262,a898)),x98263),x98264),f178(f910(x98262,a898)))+E(f317(x98261,f317(f317(f100(f910(x98262,a898)),x98263),x98264)),f317(f317(x98265,f317(x98261,x98263)),f317(x98261,x98264)))
% 192.07/191.94 [10229]~P24(x102298,x102292,x102295,x102297,x102296,x102291)+~E(f317(x102296,f405(x102294,x102293,x102291,x102296,x102297,x102295,x102292)),x102297)+~P2(f317(f29(x102292),x102293))+~P2(f317(f29(x102292),x102294))+E(f317(x102291,f317(f317(f100(f910(x102292,a898)),x102293),x102294)),f317(f317(x102295,f317(x102291,x102293)),f317(x102291,x102294)))
% 192.07/191.94 [10306]~P24(x103068,x103062,x103065,x103067,x103066,x103061)+~P2(f317(f29(x103062),x103063))+~P2(f317(f29(x103062),x103064))+E(f317(x103061,f317(f317(f100(f910(x103062,a898)),x103063),x103064)),f317(f317(x103065,f317(x103061,x103063)),f317(x103061,x103064)))+P2(f317(f317(f319(x103062),f405(x103064,x103063,x103061,x103066,x103067,x103065,x103062)),f317(f317(f91(f910(x103062,a898)),x103063),x103064)))
% 192.07/191.94 [9982]~P9(x99824,x99828,x99825)+~P9(x99821,x99829,x99823)+~P13(x99821,x99824,f910(x99822,a898),x99823,x99825,x99827)+P12(x99821,f910(x99822,a898),x99823,f317(f317(f10(f910(x99824,f910(x99822,a898)),f910(x99822,a898),x99821),f317(f36(x99824,f910(x99822,a898)),f317(f275(x99824,x99824,x99825),f317(f317(f299(x99824),x99826),f178(f910(x99824,a898)))))),x99827))+~P2(f317(f317(f319(x99824),x99826),x99828))
% 192.07/191.94 [5501]~P108(x55013)+~P14(x55013,x55011)+E(x55011,f663(x55012,x55013))+~E(f317(f162(x55013),x55011),x55012)+~P2(f317(f29(x55013),x55012))+~P2(f317(f127(x55013),x55011))
% 192.07/191.94 [7371]P16(x73711,x73712)+~E(f317(x73712,f790(x73712)),f317(x73712,f791(x73712)))+~P2(f317(f317(x73712,f790(x73712)),f790(x73712)))+~P2(f317(f317(x73712,f790(x73712)),f791(x73712)))+~P2(f317(f317(x73712,f791(x73712)),f791(x73712)))+~P2(f317(f317(x73712,x73713),x73713))
% 192.07/191.94 [5125]~P133(x51252)+~P135(x51252)+~P144(x51252)+~P113(x51252)+E(x51251,f2(x51252))+~E(f317(f317(f234(x51252),x51251),x51253),f2(x51252))
% 192.07/191.94 [5126]~P133(x51262)+~P135(x51262)+~P144(x51262)+~P113(x51262)+~E(x51261,f2(a903))+~E(f317(f317(f234(x51262),x51263),x51261),f2(x51262))
% 192.07/191.94 [6605]~P88(x66051)+~E(x66053,f2(x66051))+~E(x66052,f2(x66051))+E(f317(f317(f74(x66051),x66052),x66053),f2(x66051))+~P2(f317(f317(f226(x66051),f2(x66051)),x66053))+~P2(f317(f317(f226(x66051),f2(x66051)),x66052))
% 192.07/191.94 [9004]~E(f317(f241(a903,a903),x90043),f2(a903))+~E(x90041,f317(f317(f74(a903),f317(f317(f75(a903),f317(f241(a903,a903),x90043)),x90042)),f317(f246(a903,a903),x90043)))+P2(f317(f44(x90041,x90042),x90043))+~P2(f317(f317(f226(a903),f317(f246(a903,a903),x90043)),f2(a903)))+P2(f317(f317(f227(a903),f2(a903)),x90042))+~P2(f317(f317(f227(a903),x90042),f317(f246(a903,a903),x90043)))
% 192.07/191.94 [9012]E(x90121,f2(a903))+~E(x90122,f317(f317(f74(a903),f317(f317(f75(a903),f317(f241(a903,a903),x90123)),x90121)),f317(f246(a903,a903),x90123)))+P2(f317(f44(x90122,x90121),x90123))+~P2(f317(f317(f227(a903),f2(a903)),x90121))+~P2(f317(f317(f226(a903),f2(a903)),f317(f246(a903,a903),x90123)))+~P2(f317(f317(f227(a903),f317(f246(a903,a903),x90123)),x90121))
% 192.07/191.94 [9030]~E(f317(f241(a903,a903),x90303),f2(a903))+~E(x90301,f317(f317(f74(a903),f317(f317(f75(a903),f317(f241(a903,a903),x90303)),x90302)),f317(f246(a903,a903),x90303)))+P2(f317(f44(x90301,x90302),x90303))+~P2(f317(f317(f227(a903),f2(a903)),x90302))+~P2(f317(f317(f226(a903),f2(a903)),f317(f246(a903,a903),x90303)))+~P2(f317(f317(f227(a903),f317(f246(a903,a903),x90303)),x90302))
% 192.07/191.94 [6996]~P102(x69962)+E(x69961,f178(f910(x69962,a898)))+E(x69963,f178(f910(x69962,a898)))+~P2(f317(f29(x69962),x69961))+~P2(f317(f29(x69962),x69963))+E(f12(x69962,f317(f317(f100(f910(x69962,a898)),x69963),x69961)),f317(f317(f100(x69962),f12(x69962,x69963)),f12(x69962,x69961)))
% 192.07/191.94 [6997]~P102(x69972)+E(x69971,f178(f910(x69972,a898)))+E(x69973,f178(f910(x69972,a898)))+~P2(f317(f29(x69972),x69971))+~P2(f317(f29(x69972),x69973))+E(f13(x69972,f317(f317(f100(f910(x69972,a898)),x69973),x69971)),f317(f317(f91(x69972),f13(x69972,x69973)),f13(x69972,x69971)))
% 192.07/191.94 [6998]~P108(x69982)+E(x69981,f178(f910(x69982,a898)))+E(x69983,f178(f910(x69982,a898)))+~P2(f317(f29(x69982),x69981))+~P2(f317(f29(x69982),x69983))+E(f16(x69982,f317(f317(f100(f910(x69982,a898)),x69983),x69981)),f317(f317(f224(x69982),f16(x69982,x69983)),f16(x69982,x69981)))
% 192.07/191.94 [6999]~P108(x69992)+E(x69991,f178(f910(x69992,a898)))+E(x69993,f178(f910(x69992,a898)))+~P2(f317(f29(x69992),x69991))+~P2(f317(f29(x69992),x69993))+E(f17(x69992,f317(f317(f100(f910(x69992,a898)),x69993),x69991)),f317(f317(f225(x69992),f17(x69992,x69993)),f17(x69992,x69991)))
% 192.07/191.94 [7640]~P97(x76402)+E(x76401,f178(f910(x76402,a898)))+E(x76403,f178(f910(x76402,a898)))+~P2(f317(f29(x76402),x76401))+~P2(f317(f29(x76402),x76403))+E(f317(f317(f75(x76402),f317(f58(x76402,f75(x76402)),x76403)),f317(f58(x76402,f75(x76402)),x76401)),f317(f58(x76402,f75(x76402)),f317(f317(f100(f910(x76402,a898)),x76403),x76401)))
% 192.07/191.94 [7802]~P108(x78022)+E(x78021,f178(f910(x78022,a898)))+E(x78023,f178(f910(x78022,a898)))+~P2(f317(f29(x78022),x78021))+~P2(f317(f29(x78022),x78023))+E(f317(f317(f224(x78022),f14(x78022,f224(x78022),x78023)),f14(x78022,f224(x78022),x78021)),f14(x78022,f224(x78022),f317(f317(f100(f910(x78022,a898)),x78023),x78021)))
% 192.07/191.94 [7803]~P108(x78032)+E(x78031,f178(f910(x78032,a898)))+E(x78033,f178(f910(x78032,a898)))+~P2(f317(f29(x78032),x78031))+~P2(f317(f29(x78032),x78033))+E(f317(f317(f225(x78032),f15(x78032,f225(x78032),x78033)),f15(x78032,f225(x78032),x78031)),f15(x78032,f225(x78032),f317(f317(f100(f910(x78032,a898)),x78033),x78031)))
% 192.07/191.94 [8837]~P2(f317(x88371,x88373))+P2(f317(x88371,f350(x88371,x88372)))+P2(f317(x88371,f343(x88371,x88372)))+~P2(f317(f317(f227(a1),f2(a1)),x88372))+~P2(f317(f317(f319(a1),x88373),f293(a1,f72(a1),x88372)))+P2(f317(x88371,f317(f317(f3(a1),f343(x88371,x88372)),f317(f317(f75(a1),f349(x88371,x88372)),x88372))))
% 192.07/191.94 [9138]~P2(f317(x91381,x91383))+~P2(f317(x91381,f343(x91381,x91382)))+P2(f317(x91381,f350(x91381,x91382)))+~P2(f317(f317(f227(a1),f2(a1)),x91382))+~P2(f317(f317(f319(a1),x91383),f293(a1,f72(a1),x91382)))+~P2(f317(x91381,f317(f317(f3(a1),f343(x91381,x91382)),f317(f317(f75(a1),f349(x91381,x91382)),x91382))))
% 192.07/191.94 [10394]~P103(x103942)+E(x103941,f178(f910(x103942,a898)))+E(x103943,f178(f910(x103942,a898)))+~P2(f317(f29(x103942),x103941))+~P2(f317(f29(x103942),x103943))+E(f13(x103942,f317(f252(x103942),f317(f317(f10(f910(x103942,a898),a898,x103942),f81(x103942)),f317(f317(f10(f910(x103942,f910(x103942,a898)),f910(x103942,a898),x103942),f317(f10(f910(x103942,a898),a898,x103942),f81(x103942))),f317(f317(f9(x103942,f910(x103942,f910(x103942,a898)),f910(x103942,f910(x103942,a898))),f317(f317(f10(f910(x103942,f910(f910(x103942,a898),f910(x103942,a898))),f910(f910(x103942,f910(x103942,a898)),f910(x103942,f910(x103942,a898))),x103942),f20(x103942,f910(x103942,a898),f910(x103942,a898))),f317(f317(f10(f910(x103942,f910(x103942,f910(a898,a898))),f910(x103942,f910(f910(x103942,a898),f910(x103942,a898))),x103942),f317(f10(f910(x103942,f910(a898,a898)),f910(f910(x103942,a898),f910(x103942,a898)),x103942),f20(x103942,a898,a898))),f317(f317(f10(f910(x103942,f910(x103942,a898)),f910(x103942,f910(x103942,f910(a898,a898))),x103942),f317(f10(f910(x103942,a898),f910(x103942,f910(a898,a898)),x103942),f317(f10(a898,f910(a898,a898),x103942),a315))),f317(f317(f9(x103942,f910(x103942,f910(x103942,x103942)),f910(x103942,f910(x103942,a898))),f317(f317(f10(f910(f910(x103942,x103942),f910(x103942,a898)),f910(f910(x103942,f910(x103942,x103942)),f910(x103942,f910(x103942,a898))),x103942),f10(f910(x103942,x103942),f910(x103942,a898),x103942)),f317(f317(f10(f910(x103942,a898),f910(f910(x103942,x103942),f910(x103942,a898)),x103942),f10(x103942,a898,x103942)),a314))),f100(x103942)))))),f317(f317(f9(x103942,f910(x103942,a898),f910(x103942,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x103942,a898),f910(x103942,a898)),x103942),f10(a898,a898,x103942)),f317(f317(f10(a898,f910(a898,a898),x103942),a315),f317(f317(f9(x103942,f910(x103942,a898),a898),f319(x103942)),x103943)))),f317(f317(f9(x103942,f910(x103942,a898),a898),f319(x103942)),x103941))))))),f317(f317(f100(x103942),f13(x103942,x103943)),f13(x103942,x103941)))
% 192.07/191.94 [10395]~P103(x103952)+E(x103951,f178(f910(x103952,a898)))+E(x103953,f178(f910(x103952,a898)))+~P2(f317(f29(x103952),x103951))+~P2(f317(f29(x103952),x103953))+E(f12(x103952,f317(f252(x103952),f317(f317(f10(f910(x103952,a898),a898,x103952),f81(x103952)),f317(f317(f10(f910(x103952,f910(x103952,a898)),f910(x103952,a898),x103952),f317(f10(f910(x103952,a898),a898,x103952),f81(x103952))),f317(f317(f9(x103952,f910(x103952,f910(x103952,a898)),f910(x103952,f910(x103952,a898))),f317(f317(f10(f910(x103952,f910(f910(x103952,a898),f910(x103952,a898))),f910(f910(x103952,f910(x103952,a898)),f910(x103952,f910(x103952,a898))),x103952),f20(x103952,f910(x103952,a898),f910(x103952,a898))),f317(f317(f10(f910(x103952,f910(x103952,f910(a898,a898))),f910(x103952,f910(f910(x103952,a898),f910(x103952,a898))),x103952),f317(f10(f910(x103952,f910(a898,a898)),f910(f910(x103952,a898),f910(x103952,a898)),x103952),f20(x103952,a898,a898))),f317(f317(f10(f910(x103952,f910(x103952,a898)),f910(x103952,f910(x103952,f910(a898,a898))),x103952),f317(f10(f910(x103952,a898),f910(x103952,f910(a898,a898)),x103952),f317(f10(a898,f910(a898,a898),x103952),a315))),f317(f317(f9(x103952,f910(x103952,f910(x103952,x103952)),f910(x103952,f910(x103952,a898))),f317(f317(f10(f910(f910(x103952,x103952),f910(x103952,a898)),f910(f910(x103952,f910(x103952,x103952)),f910(x103952,f910(x103952,a898))),x103952),f10(f910(x103952,x103952),f910(x103952,a898),x103952)),f317(f317(f10(f910(x103952,a898),f910(f910(x103952,x103952),f910(x103952,a898)),x103952),f10(x103952,a898,x103952)),a314))),f91(x103952)))))),f317(f317(f9(x103952,f910(x103952,a898),f910(x103952,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x103952,a898),f910(x103952,a898)),x103952),f10(a898,a898,x103952)),f317(f317(f10(a898,f910(a898,a898),x103952),a315),f317(f317(f9(x103952,f910(x103952,a898),a898),f319(x103952)),x103953)))),f317(f317(f9(x103952,f910(x103952,a898),a898),f319(x103952)),x103951))))))),f317(f317(f91(x103952),f12(x103952,x103953)),f12(x103952,x103951)))
% 192.07/191.94 [10396]~P108(x103962)+E(x103961,f178(f910(x103962,a898)))+E(x103963,f178(f910(x103962,a898)))+~P2(f317(f29(x103962),x103961))+~P2(f317(f29(x103962),x103963))+E(f15(x103962,f225(x103962),f317(f252(x103962),f317(f317(f10(f910(x103962,a898),a898,x103962),f81(x103962)),f317(f317(f10(f910(x103962,f910(x103962,a898)),f910(x103962,a898),x103962),f317(f10(f910(x103962,a898),a898,x103962),f81(x103962))),f317(f317(f9(x103962,f910(x103962,f910(x103962,a898)),f910(x103962,f910(x103962,a898))),f317(f317(f10(f910(x103962,f910(f910(x103962,a898),f910(x103962,a898))),f910(f910(x103962,f910(x103962,a898)),f910(x103962,f910(x103962,a898))),x103962),f20(x103962,f910(x103962,a898),f910(x103962,a898))),f317(f317(f10(f910(x103962,f910(x103962,f910(a898,a898))),f910(x103962,f910(f910(x103962,a898),f910(x103962,a898))),x103962),f317(f10(f910(x103962,f910(a898,a898)),f910(f910(x103962,a898),f910(x103962,a898)),x103962),f20(x103962,a898,a898))),f317(f317(f10(f910(x103962,f910(x103962,a898)),f910(x103962,f910(x103962,f910(a898,a898))),x103962),f317(f10(f910(x103962,a898),f910(x103962,f910(a898,a898)),x103962),f317(f10(a898,f910(a898,a898),x103962),a315))),f317(f317(f9(x103962,f910(x103962,f910(x103962,x103962)),f910(x103962,f910(x103962,a898))),f317(f317(f10(f910(f910(x103962,x103962),f910(x103962,a898)),f910(f910(x103962,f910(x103962,x103962)),f910(x103962,f910(x103962,a898))),x103962),f10(f910(x103962,x103962),f910(x103962,a898),x103962)),f317(f317(f10(f910(x103962,a898),f910(f910(x103962,x103962),f910(x103962,a898)),x103962),f10(x103962,a898,x103962)),a314))),f224(x103962)))))),f317(f317(f9(x103962,f910(x103962,a898),f910(x103962,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x103962,a898),f910(x103962,a898)),x103962),f10(a898,a898,x103962)),f317(f317(f10(a898,f910(a898,a898),x103962),a315),f317(f317(f9(x103962,f910(x103962,a898),a898),f319(x103962)),x103963)))),f317(f317(f9(x103962,f910(x103962,a898),a898),f319(x103962)),x103961))))))),f317(f317(f224(x103962),f15(x103962,f225(x103962),x103963)),f15(x103962,f225(x103962),x103961)))
% 192.07/191.94 [10397]~P108(x103972)+E(x103971,f178(f910(x103972,a898)))+E(x103973,f178(f910(x103972,a898)))+~P2(f317(f29(x103972),x103971))+~P2(f317(f29(x103972),x103973))+E(f14(x103972,f224(x103972),f317(f252(x103972),f317(f317(f10(f910(x103972,a898),a898,x103972),f81(x103972)),f317(f317(f10(f910(x103972,f910(x103972,a898)),f910(x103972,a898),x103972),f317(f10(f910(x103972,a898),a898,x103972),f81(x103972))),f317(f317(f9(x103972,f910(x103972,f910(x103972,a898)),f910(x103972,f910(x103972,a898))),f317(f317(f10(f910(x103972,f910(f910(x103972,a898),f910(x103972,a898))),f910(f910(x103972,f910(x103972,a898)),f910(x103972,f910(x103972,a898))),x103972),f20(x103972,f910(x103972,a898),f910(x103972,a898))),f317(f317(f10(f910(x103972,f910(x103972,f910(a898,a898))),f910(x103972,f910(f910(x103972,a898),f910(x103972,a898))),x103972),f317(f10(f910(x103972,f910(a898,a898)),f910(f910(x103972,a898),f910(x103972,a898)),x103972),f20(x103972,a898,a898))),f317(f317(f10(f910(x103972,f910(x103972,a898)),f910(x103972,f910(x103972,f910(a898,a898))),x103972),f317(f10(f910(x103972,a898),f910(x103972,f910(a898,a898)),x103972),f317(f10(a898,f910(a898,a898),x103972),a315))),f317(f317(f9(x103972,f910(x103972,f910(x103972,x103972)),f910(x103972,f910(x103972,a898))),f317(f317(f10(f910(f910(x103972,x103972),f910(x103972,a898)),f910(f910(x103972,f910(x103972,x103972)),f910(x103972,f910(x103972,a898))),x103972),f10(f910(x103972,x103972),f910(x103972,a898),x103972)),f317(f317(f10(f910(x103972,a898),f910(f910(x103972,x103972),f910(x103972,a898)),x103972),f10(x103972,a898,x103972)),a314))),f225(x103972)))))),f317(f317(f9(x103972,f910(x103972,a898),f910(x103972,a898)),f317(f317(f10(f910(a898,a898),f910(f910(x103972,a898),f910(x103972,a898)),x103972),f10(a898,a898,x103972)),f317(f317(f10(a898,f910(a898,a898),x103972),a315),f317(f317(f9(x103972,f910(x103972,a898),a898),f319(x103972)),x103973)))),f317(f317(f9(x103972,f910(x103972,a898),a898),f319(x103972)),x103971))))))),f317(f317(f225(x103972),f14(x103972,f224(x103972),x103973)),f14(x103972,f224(x103972),x103971)))
% 192.07/191.94 [7327]~P110(x73273)+E(x73271,x73272)+~E(f317(f317(f234(x73273),x73271),x73274),f317(f317(f234(x73273),x73272),x73274))+~P2(f317(f317(f226(x73273),f2(x73273)),x73272))+~P2(f317(f317(f226(x73273),f2(x73273)),x73271))+~P2(f317(f317(f227(a903),f2(a903)),x73274))
% 192.07/191.94 [7600]~P108(x76002)+E(x76001,f178(f910(x76002,a898)))+~P2(f317(f29(x76002),x76001))+~P2(f317(f317(f319(x76002),x76004),x76001))+P2(f317(f317(f226(x76002),x76003),x76004))+~P2(f317(f317(f226(x76002),x76003),f317(f58(x76002,f224(x76002)),x76001)))
% 192.07/191.94 [7601]~P104(x76012)+E(x76011,f178(f910(x76012,a898)))+~P2(f317(f29(x76012),x76011))+~P2(f317(f317(f319(x76012),x76014),x76011))+P2(f317(f317(f226(x76012),x76013),x76014))+~P2(f317(f317(f226(x76012),x76013),f317(f58(x76012,f91(x76012)),x76011)))
% 192.07/191.94 [7602]~P108(x76022)+E(x76021,f178(f910(x76022,a898)))+~P2(f317(f29(x76022),x76021))+~P2(f317(f317(f319(x76022),x76024),x76021))+P2(f317(f317(f227(x76022),x76023),x76024))+~P2(f317(f317(f227(x76022),x76023),f317(f58(x76022,f224(x76022)),x76021)))
% 192.07/191.94 [7507]E(x75071,f2(a1))+E(f317(f317(f31(a1),x75072),x75071),x75073)+~P2(f317(f317(f226(a1),x75074),f2(a1)))+~E(x75072,f317(f317(f74(a1),f317(f317(f75(a1),x75071),x75073)),x75074))+P2(f317(f317(f227(a1),f2(a1)),x75071))+~P2(f317(f317(f227(a1),x75071),x75074))
% 192.07/191.94 [7524]E(f41(a1,x75242,x75241),x75243)+E(x75241,f2(a1))+~P2(f317(f317(f226(a1),x75243),f2(a1)))+~E(x75242,f317(f317(f74(a1),f317(f317(f75(a1),x75241),x75244)),x75243))+P2(f317(f317(f227(a1),f2(a1)),x75241))+~P2(f317(f317(f227(a1),x75241),x75243))
% 192.07/191.94 [7639]E(x76391,f2(a1))+E(f317(f317(f31(a1),x76392),x76391),x76393)+~E(x76392,f317(f317(f74(a1),f317(f317(f75(a1),x76391),x76393)),x76394))+~P2(f317(f317(f226(a1),f2(a1)),x76394))+~P2(f317(f317(f227(a1),f2(a1)),x76391))+~P2(f317(f317(f227(a1),x76394),x76391))
% 192.07/191.94 [7662]E(f41(a1,x76622,x76621),x76623)+E(x76621,f2(a1))+~E(x76622,f317(f317(f74(a1),f317(f317(f75(a1),x76621),x76624)),x76623))+~P2(f317(f317(f226(a1),f2(a1)),x76623))+~P2(f317(f317(f227(a1),f2(a1)),x76621))+~P2(f317(f317(f227(a1),x76623),x76621))
% 192.07/191.94 [7806]~P108(x78062)+E(x78061,f178(f910(x78062,a898)))+~P2(f317(f29(x78062),x78061))+~P2(f317(f317(f226(x78062),x78064),x78063))+~P2(f317(f317(f319(x78062),x78064),x78061))+P2(f317(f317(f226(x78062),f317(f58(x78062,f224(x78062)),x78061)),x78063))
% 192.07/191.94 [7807]~P108(x78072)+E(x78071,f178(f910(x78072,a898)))+~P2(f317(f29(x78072),x78071))+~P2(f317(f317(f227(x78072),x78074),x78073))+~P2(f317(f317(f319(x78072),x78074),x78071))+P2(f317(f317(f227(x78072),f317(f58(x78072,f224(x78072)),x78071)),x78073))
% 192.07/191.94 [8372]~P2(f317(f317(f226(a1),x83724),f2(a1)))+~E(x83721,f317(f317(f74(a1),f317(f317(f75(a1),x83722),x83723)),x83724))+~P2(f317(f317(f226(a1),f2(a1)),x83724))+~P2(f317(f317(f227(a1),x83724),x83722))+~P2(f317(f317(f227(a1),x83722),x83724))+P2(f317(f45(x83721,x83722),f317(f317(f242(a1,a1),x83723),x83724)))
% 192.07/191.94 [8541]~P109(x85411)+P2(f317(f317(f227(f910(x85411,a898)),f293(x85411,x85412,x85413)),f293(x85411,x85414,x85415)))+~P2(f317(f317(f226(x85411),x85414),x85412))+~P2(f317(f317(f226(x85411),x85414),x85415))+~P2(f317(f317(f226(x85411),x85413),x85415))+~P2(f317(f317(f227(x85411),x85413),x85415))
% 192.07/191.94 [8542]~P109(x85421)+P2(f317(f317(f227(f910(x85421,a898)),f293(x85421,x85422,x85423)),f293(x85421,x85424,x85425)))+~P2(f317(f317(f226(x85421),x85423),x85425))+~P2(f317(f317(f226(x85421),x85424),x85425))+~P2(f317(f317(f226(x85421),x85424),x85422))+~P2(f317(f317(f227(x85421),x85424),x85422))
% 192.07/191.94 [9403]P58(x94032,x94033,x94034,x94031)+E(x94031,f178(f910(x94032,a898)))+~P2(f317(f29(x94032),x94034))+~P2(f317(f29(x94032),x94031))+~P2(f317(f317(x94033,f528(x94031,x94034,x94033,x94032)),x94035))+~P2(f317(f317(f319(x94032),x94035),x94031))
% 192.07/191.94 [9404]P58(x94042,x94043,x94044,x94041)+E(x94041,f178(f910(x94042,a898)))+~P2(f317(f29(x94042),x94044))+~P2(f317(f29(x94042),x94041))+~P2(f317(f317(x94043,f780(x94043,x94041,x94044,x94042)),x94045))+~P2(f317(f317(f319(x94042),x94045),x94041))
% 192.07/191.94 [9405]P58(x94052,x94053,x94054,x94051)+E(x94051,f178(f910(x94052,a898)))+~P2(f317(f29(x94052),x94054))+~P2(f317(f29(x94052),x94051))+~P2(f317(f317(x94053,f781(x94051,x94054,x94053,x94052)),x94055))+~P2(f317(f317(f319(x94052),x94055),x94051))
% 192.07/191.94 [9553]~E(x95533,x95535)+~P71(x95531)+~P75(x95531)+~P40(x95533)+E(f317(f317(f11(a1,x95531),x95532),x95533),f317(f317(f11(a1,x95531),x95534),x95535))+P2(f317(f317(f226(a1),f2(a1)),f508(x95532,x95534,x95533,x95535,x95531)))
% 192.07/191.94 [9554]~E(x95543,x95545)+~P71(x95541)+~P75(x95541)+~P40(x95543)+E(f317(f317(f8(a1,x95541),x95542),x95543),f317(f317(f8(a1,x95541),x95544),x95545))+P2(f317(f317(f226(a1),f2(a1)),f520(x95542,x95544,x95543,x95545,x95541)))
% 192.07/191.94 [9736]~E(x97365,x97363)+~P71(x97361)+~P75(x97361)+~P40(x97365)+~E(f317(x97362,f508(x97364,x97362,x97365,x97363,x97361)),f317(x97364,f508(x97364,x97362,x97365,x97363,x97361)))+E(f317(f317(f11(a1,x97361),x97362),x97363),f317(f317(f11(a1,x97361),x97364),x97365))
% 192.07/191.94 [9737]~E(x97375,x97373)+~P71(x97371)+~P75(x97371)+~P40(x97375)+~E(f317(x97372,f520(x97374,x97372,x97375,x97373,x97371)),f317(x97374,f520(x97374,x97372,x97375,x97373,x97371)))+E(f317(f317(f8(a1,x97371),x97372),x97373),f317(f317(f8(a1,x97371),x97374),x97375))
% 192.07/191.94 [9824]~P79(x98243)+E(f317(x98241,x98242),f2(x98243))+~E(f317(f317(f8(x98244,x98243),x98241),x98245),f2(x98243))+~P2(f317(f29(x98244),x98245))+P2(f317(f317(f319(x98244),f481(x98242,x98241,x98245,x98244,x98243)),x98245))+~P2(f317(f317(f319(x98244),x98242),x98245))
% 192.07/191.94 [9953]~P79(x99533)+E(f317(x99531,x99532),f2(x99533))+~E(f317(f317(f8(x99534,x99533),x99531),x99535),f2(x99533))+~P2(f317(f29(x99534),x99535))+~P2(f317(f317(f319(x99534),x99532),x99535))+~P2(f317(f317(f226(x99533),f2(x99533)),f317(x99531,f481(x99532,x99531,x99535,x99534,x99533))))
% 192.07/191.94 [8457]~P138(x84571)+~P2(f317(f317(f226(x84571),x84573),x84575))+~P2(f317(f317(f226(x84571),x84572),x84574))+~P2(f317(f317(f226(x84571),f2(x84571)),x84573))+~P2(f317(f317(f226(x84571),f2(x84571)),x84574))+P2(f317(f317(f226(x84571),f317(f317(f75(x84571),x84572),x84573)),f317(f317(f75(x84571),x84574),x84575)))
% 192.07/191.94 [8458]~P138(x84581)+~P2(f317(f317(f226(x84581),x84583),x84585))+~P2(f317(f317(f226(x84581),x84582),x84584))+~P2(f317(f317(f226(x84581),f2(x84581)),x84583))+~P2(f317(f317(f226(x84581),f2(x84581)),x84582))+P2(f317(f317(f226(x84581),f317(f317(f75(x84581),x84582),x84583)),f317(f317(f75(x84581),x84584),x84585)))
% 192.07/191.94 [8459]~P64(x84591)+~P2(f317(f317(f227(x84591),f2(x84591)),x84595))+~P2(f317(f317(f226(x84591),x84595),x84593))+~P2(f317(f317(f226(x84591),x84592),x84594))+~P2(f317(f317(f226(x84591),f2(x84591)),x84592))+P2(f317(f317(f226(x84591),f317(f317(f281(x84591),x84592),x84593)),f317(f317(f281(x84591),x84594),x84595)))
% 192.07/191.94 [8460]~P134(x84601)+~P2(f317(f317(f226(x84601),x84603),x84605))+~P2(f317(f317(f226(x84601),f2(x84601)),x84602))+~P2(f317(f317(f227(x84601),x84602),x84604))+~P2(f317(f317(f227(x84601),f2(x84601)),x84603))+P2(f317(f317(f227(x84601),f317(f317(f75(x84601),x84602),x84603)),f317(f317(f75(x84601),x84604),x84605)))
% 192.07/191.94 [8461]~P134(x84611)+~P2(f317(f317(f226(x84611),x84612),x84614))+~P2(f317(f317(f226(x84611),f2(x84611)),x84613))+~P2(f317(f317(f227(x84611),x84613),x84615))+~P2(f317(f317(f227(x84611),f2(x84611)),x84612))+P2(f317(f317(f227(x84611),f317(f317(f75(x84611),x84612),x84613)),f317(f317(f75(x84611),x84614),x84615)))
% 192.07/191.94 [8462]~P134(x84621)+~P2(f317(f317(f226(x84621),f2(x84621)),x84623))+~P2(f317(f317(f226(x84621),f2(x84621)),x84622))+~P2(f317(f317(f227(x84621),x84623),x84625))+~P2(f317(f317(f227(x84621),x84622),x84624))+P2(f317(f317(f227(x84621),f317(f317(f75(x84621),x84622),x84623)),f317(f317(f75(x84621),x84624),x84625)))
% 192.07/191.94 [8463]~P134(x84631)+~P2(f317(f317(f226(x84631),f2(x84631)),x84633))+~P2(f317(f317(f227(x84631),x84633),x84635))+~P2(f317(f317(f227(x84631),x84632),x84634))+~P2(f317(f317(f227(x84631),f2(x84631)),x84634))+P2(f317(f317(f227(x84631),f317(f317(f75(x84631),x84632),x84633)),f317(f317(f75(x84631),x84634),x84635)))
% 192.07/191.94 [8464]~P64(x84641)+~P2(f317(f317(f226(x84641),x84645),x84643))+~P2(f317(f317(f226(x84641),f2(x84641)),x84642))+~P2(f317(f317(f227(x84641),x84642),x84644))+~P2(f317(f317(f227(x84641),f2(x84641)),x84645))+P2(f317(f317(f227(x84641),f317(f317(f281(x84641),x84642),x84643)),f317(f317(f281(x84641),x84644),x84645)))
% 192.07/191.94 [8465]~P64(x84651)+~P2(f317(f317(f226(x84651),x84652),x84654))+~P2(f317(f317(f227(x84651),x84655),x84653))+~P2(f317(f317(f227(x84651),f2(x84651)),x84655))+~P2(f317(f317(f227(x84651),f2(x84651)),x84652))+P2(f317(f317(f227(x84651),f317(f317(f281(x84651),x84652),x84653)),f317(f317(f281(x84651),x84654),x84655)))
% 192.07/191.94 [9868]~P86(x98685)+~P75(x98685)+E(x98681,f178(f910(x98682,a898)))+~P2(f317(f29(x98682),x98681))+P2(f317(f317(f319(x98682),f423(x98683,x98684,x98681,x98682,x98685)),x98681))+P2(f317(f317(f227(x98685),f317(f317(f8(x98682,x98685),x98684),x98681)),f317(f317(f8(x98682,x98685),x98683),x98681)))
% 192.07/191.94 [9978]~P84(x99781)+~P75(x99781)+~P2(f317(f29(x99782),x99785))+~P2(f317(f317(f226(x99781),f2(x99781)),f317(x99783,f419(x99783,x99784,x99785,x99782,x99781))))+P2(f317(f317(f226(x99781),f317(f317(f8(x99782,x99781),x99783),x99784)),f317(f317(f8(x99782,x99781),x99783),x99785)))+~P2(f317(f317(f226(f910(x99782,a898)),x99784),x99785))
% 192.07/191.94 [10148]~P86(x101483)+~P75(x101483)+E(x101481,f178(f910(x101482,a898)))+~P2(f317(f29(x101482),x101481))+~P2(f317(f317(f227(x101483),f317(x101484,f423(x101485,x101484,x101481,x101482,x101483))),f317(x101485,f423(x101485,x101484,x101481,x101482,x101483))))+P2(f317(f317(f227(x101483),f317(f317(f8(x101482,x101483),x101484),x101481)),f317(f317(f8(x101482,x101483),x101485),x101481)))
% 192.07/191.94 [7183]~P18(x71832,x71835,x71834)+E(x71831,f178(f910(x71832,a898)))+E(x71833,f178(f910(x71832,a898)))+~P2(f317(f29(x71832),x71831))+~P2(f317(f29(x71832),x71833))+E(f317(x71834,f317(f317(f100(f910(x71832,a898)),x71833),x71831)),f317(f317(x71835,f317(x71834,x71833)),f317(x71834,x71831)))
% 192.07/191.94 [7772]~P148(x77721,x77723,x77724)+P2(f317(x77721,x77722))+~P2(f317(f317(f227(a1),x77724),f2(a1)))+~P2(f317(f317(f226(a1),x77725),f2(a1)))+~E(x77723,f317(f317(f74(a1),f317(f317(f75(a1),x77724),x77722)),x77725))+~P2(f317(f317(f227(a1),x77724),x77725))
% 192.07/191.94 [7773]~P147(x77731,x77733,x77734)+P2(f317(x77731,x77732))+~P2(f317(f317(f227(a1),x77734),f2(a1)))+~P2(f317(f317(f226(a1),x77732),f2(a1)))+~E(x77733,f317(f317(f74(a1),f317(f317(f75(a1),x77734),x77735)),x77732))+~P2(f317(f317(f227(a1),x77734),x77732))
% 192.07/191.94 [7815]~P148(x78151,x78153,x78154)+P2(f317(x78151,x78152))+~E(x78153,f317(f317(f74(a1),f317(f317(f75(a1),x78154),x78152)),x78155))+~P2(f317(f317(f226(a1),f2(a1)),x78155))+~P2(f317(f317(f227(a1),f2(a1)),x78154))+~P2(f317(f317(f227(a1),x78155),x78154))
% 192.07/191.94 [7816]~P147(x78161,x78163,x78164)+P2(f317(x78161,x78162))+~E(x78163,f317(f317(f74(a1),f317(f317(f75(a1),x78164),x78165)),x78162))+~P2(f317(f317(f226(a1),f2(a1)),x78162))+~P2(f317(f317(f227(a1),f2(a1)),x78164))+~P2(f317(f317(f227(a1),x78162),x78164))
% 192.07/191.94 [8750]P2(f317(f317(x87501,x87502),x87503))+~P2(f317(f317(x87501,f317(f317(f31(a1),x87504),x87505)),f41(a1,x87504,x87505)))+~P2(f317(f317(f227(a1),x87505),f2(a1)))+~P2(f317(f317(f226(a1),x87503),f2(a1)))+~E(x87504,f317(f317(f74(a1),f317(f317(f75(a1),x87505),x87502)),x87503))+~P2(f317(f317(f227(a1),x87505),x87503))
% 192.07/191.94 [8759]P2(f317(f317(x87591,x87592),x87593))+~P2(f317(f317(x87591,f317(f317(f31(a1),x87594),x87595)),f41(a1,x87594,x87595)))+~E(x87594,f317(f317(f74(a1),f317(f317(f75(a1),x87595),x87592)),x87593))+~P2(f317(f317(f226(a1),f2(a1)),x87593))+~P2(f317(f317(f227(a1),f2(a1)),x87595))+~P2(f317(f317(f227(a1),x87593),x87595))
% 192.07/191.94 [9020]E(x90201,x90202)+~P55(x90203,x90205,x90204)+~P2(f317(f317(f319(x90203),x90202),x90205))+~P2(f317(f317(f319(x90203),x90201),x90205))+P2(f317(f317(f319(f909(x90203,x90203)),f317(f317(f242(x90203,x90203),x90201),x90202)),x90204))+P2(f317(f317(f319(f909(x90203,x90203)),f317(f317(f242(x90203,x90203),x90202),x90201)),x90204))
% 192.07/191.94 [9896]~P84(x98965)+~P75(x98965)+~P2(f317(f29(x98961),x98964))+P2(f317(f317(f226(x98965),f317(f317(f8(x98961,x98965),x98962),x98963)),f317(f317(f8(x98961,x98965),x98962),x98964)))+~P2(f317(f317(f226(f910(x98961,a898)),x98963),x98964))+P2(f317(f317(f319(x98961),f419(x98962,x98963,x98964,x98961,x98965)),f317(f317(f3(f910(x98961,a898)),x98964),x98963)))
% 192.07/191.94 [9986]E(x99861,f178(f910(x99862,a898)))+~P2(f317(f29(x99862),x99863))+~P2(f317(f29(x99862),x99861))+P2(f317(f317(f319(f909(f910(x99862,a898),f910(x99862,a898))),f317(f317(f242(f910(x99862,a898),f910(x99862,a898)),x99863),x99861)),f309(x99862,x99864)))+~P2(f317(f317(f319(x99862),x99865),x99861))+~P2(f317(f317(f319(f909(x99862,x99862)),f317(f317(f242(x99862,x99862),f530(x99864,x99861,x99863,x99862)),x99865)),x99864))
% 192.07/191.94 [9987]E(x99871,f178(f910(x99872,a898)))+~P2(f317(f29(x99872),x99873))+~P2(f317(f29(x99872),x99871))+P2(f317(f317(f319(f909(f910(x99872,a898),f910(x99872,a898))),f317(f317(f242(f910(x99872,a898),f910(x99872,a898)),x99873),x99871)),f309(x99872,x99874)))+~P2(f317(f317(f319(x99872),x99875),x99871))+~P2(f317(f317(f319(f909(x99872,x99872)),f317(f317(f242(x99872,x99872),f692(x99874,x99871,x99873,x99872)),x99875)),x99874))
% 192.07/191.94 [10152]~P79(x101521)+~E(f317(f317(f8(x101525,x101521),x101522),x101526),x101524)+~P2(f317(f29(x101525),x101526))+P2(f317(f317(f319(x101525),f482(x101523,x101524,x101522,x101526,x101525,x101521)),x101526))+P2(f317(f317(f226(x101521),f317(x101522,x101523)),x101524))+~P2(f317(f317(f319(x101525),x101523),x101526))
% 192.07/191.94 [10199]~P79(x101991)+~E(f317(f317(f8(x101995,x101991),x101992),x101996),x101994)+~P2(f317(f29(x101995),x101996))+~P2(f317(f317(f319(x101995),x101993),x101996))+~P2(f317(f317(f226(x101991),f2(x101991)),f317(x101992,f482(x101993,x101994,x101992,x101996,x101995,x101991))))+P2(f317(f317(f226(x101991),f317(x101992,x101993)),x101994))
% 192.07/191.94 [10341]~E(x103415,x103418)+~E(x103414,x103417)+~P107(x103411)+~P75(x103412)+E(f317(f317(f8(x103411,x103412),x103413),f317(f292(x103411,x103414),x103415)),f317(f317(f8(x103411,x103412),x103416),f317(f292(x103411,x103417),x103418)))+P2(f317(f317(f226(x103411),x103414),f428(x103413,x103416,x103415,x103418,x103414,x103417,x103411,x103412)))
% 192.07/191.94 [10357]~E(x103577,x103574)+~E(x103578,x103575)+~P107(x103571)+~P75(x103572)+~E(f317(x103573,f428(x103576,x103573,x103578,x103575,x103577,x103574,x103571,x103572)),f317(x103576,f428(x103576,x103573,x103578,x103575,x103577,x103574,x103571,x103572)))+E(f317(f317(f8(x103571,x103572),x103573),f317(f292(x103571,x103574),x103575)),f317(f317(f8(x103571,x103572),x103576),f317(f292(x103571,x103577),x103578)))
% 192.07/191.94 [10360]~E(x103604,x103607)+~E(x103605,x103608)+~P107(x103601)+~P75(x103602)+E(f317(f317(f8(x103601,x103602),x103603),f317(f292(x103601,x103604),x103605)),f317(f317(f8(x103601,x103602),x103606),f317(f292(x103601,x103607),x103608)))+P2(f317(f317(f227(x103601),f428(x103603,x103606,x103605,x103608,x103604,x103607,x103601,x103602)),x103605))
% 192.07/191.94 [9993]~P9(x99935,x99939,x99936)+~P9(x99931,x999310,x99933)+~P13(x99931,x99935,f910(x99932,a898),x99933,x99936,x99938)+~P2(f317(f317(f319(x99935),x99937),x99939))+~P2(f317(f317(f319(x99931),x99934),x999310))+E(f317(f317(f36(x99931,f910(x99932,a898)),f317(f275(x99931,x99931,x99933),f317(f317(f299(x99931),x99934),f178(f910(x99931,a898))))),f317(f317(f10(f910(x99935,f910(x99932,a898)),f910(x99932,a898),x99931),f317(f36(x99935,f910(x99932,a898)),f317(f275(x99935,x99935,x99936),f317(f317(f299(x99935),x99937),f178(f910(x99935,a898)))))),x99938)),f317(f317(x99938,x99934),x99937))
% 192.07/191.94 [5675]~P108(x56753)+~P14(x56753,x56752)+~P14(x56753,x56751)+E(x56751,x56752)+~E(f317(f162(x56753),x56751),f317(f162(x56753),x56752))+~P2(f317(f127(x56753),x56752))+~P2(f317(f127(x56753),x56751))
% 192.07/191.94 [4999]~P133(x49992)+~P135(x49992)+~P144(x49992)+~P113(x49992)+~E(x49993,f2(x49992))+E(x49991,f2(a903))+E(f317(f317(f234(x49992),x49993),x49991),f2(x49992))
% 192.07/191.94 [9275]E(x92751,f2(a903))+~E(x92752,f317(f317(f74(a903),f317(f317(f75(a903),f317(f241(a903,a903),x92753)),x92751)),f317(f246(a903,a903),x92753)))+P2(f317(f44(x92752,x92751),x92753))+~P2(f317(f317(f226(a903),f317(f246(a903,a903),x92753)),f2(a903)))+~P2(f317(f317(f226(a903),f2(a903)),f317(f246(a903,a903),x92753)))+~P2(f317(f317(f227(a903),x92751),f317(f246(a903,a903),x92753)))+~P2(f317(f317(f227(a903),f317(f246(a903,a903),x92753)),x92751))
% 192.07/191.94 [9283]~E(f317(f241(a903,a903),x92833),f2(a903))+~E(x92831,f317(f317(f74(a903),f317(f317(f75(a903),f317(f241(a903,a903),x92833)),x92832)),f317(f246(a903,a903),x92833)))+P2(f317(f44(x92831,x92832),x92833))+~P2(f317(f317(f226(a903),f317(f246(a903,a903),x92833)),f2(a903)))+~P2(f317(f317(f226(a903),f2(a903)),f317(f246(a903,a903),x92833)))+~P2(f317(f317(f227(a903),x92832),f317(f246(a903,a903),x92833)))+~P2(f317(f317(f227(a903),f317(f246(a903,a903),x92833)),x92832))
% 192.07/191.94 [8126]~P69(x81262)+E(x81261,f178(f910(x81262,a898)))+E(x81263,f178(f910(x81262,a898)))+~P2(f317(f29(x81262),x81261))+~P2(f317(f29(x81262),x81263))+~E(f317(f317(f91(f910(x81262,a898)),x81263),x81261),f178(f910(x81262,a898)))+E(f317(f317(f75(x81262),f317(f58(x81262,f75(x81262)),x81263)),f317(f58(x81262,f75(x81262)),x81261)),f317(f58(x81262,f75(x81262)),f317(f317(f100(f910(x81262,a898)),x81263),x81261)))
% 192.07/191.94 [7911]E(x79111,f2(a1))+E(f317(f317(f31(a1),x79112),x79111),x79113)+~P2(f317(f317(f226(a1),x79114),f2(a1)))+~E(x79112,f317(f317(f74(a1),f317(f317(f75(a1),x79111),x79113)),x79114))+~P2(f317(f317(f226(a1),f2(a1)),x79114))+~P2(f317(f317(f227(a1),x79114),x79111))+~P2(f317(f317(f227(a1),x79111),x79114))
% 192.07/191.94 [7919]E(f41(a1,x79192,x79191),x79193)+E(x79191,f2(a1))+~P2(f317(f317(f226(a1),x79193),f2(a1)))+~E(x79192,f317(f317(f74(a1),f317(f317(f75(a1),x79191),x79194)),x79193))+~P2(f317(f317(f226(a1),f2(a1)),x79193))+~P2(f317(f317(f227(a1),x79193),x79191))+~P2(f317(f317(f227(a1),x79191),x79193))
% 192.07/191.94 [6963]~P4(x69632)+E(x69631,f2(x69632))+E(x69633,f2(x69632))+~E(f317(f317(f31(x69632),x69634),x69633),f317(f317(f31(x69632),x69635),x69631))+E(f317(f317(f75(x69632),x69634),x69631),f317(f317(f75(x69632),x69633),x69635))+~P2(f317(f317(f277(x69632),x69631),x69635))+~P2(f317(f317(f277(x69632),x69633),x69634))
% 192.07/191.94 [6964]~P4(x69642)+E(x69641,f2(x69642))+E(x69643,f2(x69642))+~E(f317(f317(f75(x69642),x69644),x69643),f317(f317(f75(x69642),x69641),x69645))+E(f317(f317(f31(x69642),x69644),x69641),f317(f317(f31(x69642),x69645),x69643))+~P2(f317(f317(f277(x69642),x69641),x69644))+~P2(f317(f317(f277(x69642),x69643),x69645))
% 192.07/191.94 [7825]~P19(x78252,x78255,x78254)+E(x78251,f178(f910(x78252,a898)))+E(x78253,f178(f910(x78252,a898)))+~P2(f317(f29(x78252),x78251))+~P2(f317(f29(x78252),x78253))+~E(f317(f317(f91(f910(x78252,a898)),x78253),x78251),f178(f910(x78252,a898)))+E(f317(x78254,f317(f317(f100(f910(x78252,a898)),x78253),x78251)),f317(f317(x78255,f317(x78254,x78253)),f317(x78254,x78251)))
% 192.07/191.94 [9526]~P25(x95263,x95261,x95265,x95264)+~P25(x95261,x95263,x95266,x95262)+E(f317(f30(x95261),x95262),f317(f30(x95263),x95264))+~P2(f317(f29(x95263),x95264))+~P2(f317(f29(x95261),x95262))+~P2(f317(f317(f226(f910(x95263,a898)),f317(f300(x95261,x95263,x95266),x95262)),x95264))+~P2(f317(f317(f226(f910(x95261,a898)),f317(f300(x95263,x95261,x95265),x95264)),x95262))
% 192.07/191.94 [9468]~P2(f317(f317(f227(a1),f317(f317(f74(a1),f317(f317(f75(a1),x94685),x94681)),x94686)),f2(a1)))+~E(f317(f317(f74(a1),f317(f317(f75(a1),x94683),x94682)),x94684),f317(f317(f74(a1),f317(f317(f75(a1),x94685),x94681)),x94686))+~P2(f317(f317(f226(a1),f2(a1)),x94686))+~P2(f317(f317(f227(a1),f2(a1)),x94685))+~P2(f317(f317(f226(a1),x94685),x94683))+~P2(f317(f317(f227(a1),x94684),x94683))+P2(f317(f317(f226(a1),x94681),x94682))
% 192.07/191.94 [9226]~E(f317(f317(f74(a1),f317(f317(f75(a1),x92263),x92261)),x92264),f317(f317(f74(a1),f317(f317(f75(a1),x92265),x92262)),x92266))+~P2(f317(f317(f226(a1),f2(a1)),x92264))+~P2(f317(f317(f227(a1),f2(a1)),x92265))+~P2(f317(f317(f226(a1),x92265),x92263))+~P2(f317(f317(f227(a1),x92266),x92265))+P2(f317(f317(f226(a1),x92261),x92262))+~P2(f317(f317(f226(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92265),x92262)),x92266)))
% 192.07/191.94 [9408]~P132(x94081)+~E(f317(f317(f74(x94081),x94082),x94084),f72(x94081))+~P2(f317(f317(f226(x94081),x94085),x94086))+~P2(f317(f317(f226(x94081),x94083),x94086))+~P2(f317(f317(f226(x94081),f2(x94081)),x94084))+~P2(f317(f317(f226(x94081),f2(x94081)),x94082))+P2(f317(f317(f226(x94081),f317(f317(f74(x94081),f317(f317(f75(x94081),x94082),x94083)),f317(f317(f75(x94081),x94084),x94085))),x94086))
% 192.07/191.94 [9409]~P130(x94091)+~E(f317(f317(f74(x94091),x94092),x94094),f72(x94091))+~P2(f317(f317(f226(x94091),f2(x94091)),x94094))+~P2(f317(f317(f226(x94091),f2(x94091)),x94092))+~P2(f317(f317(f227(x94091),x94095),x94096))+~P2(f317(f317(f227(x94091),x94093),x94096))+P2(f317(f317(f227(x94091),f317(f317(f74(x94091),f317(f317(f75(x94091),x94092),x94093)),f317(f317(f75(x94091),x94094),x94095))),x94096))
% 192.07/191.94 [10246]~P9(x102467,x102466,x102465)+E(x102461,x102462)+~P12(x102467,f910(x102464,a898),x102465,x102463)+E(f317(x102463,f522(x102461,x102462,x102463,x102464,x102465,x102466,x102467)),f317(x102463,f523(x102461,x102462,x102463,x102464,x102465,x102466,x102467)))+~E(f317(f317(f36(x102467,f910(x102464,a898)),x102461),x102463),f317(f317(f36(x102467,f910(x102464,a898)),x102462),x102463))+~P2(f317(f317(f319(f910(x102467,a898)),x102462),f317(f317(f56(x102467),x102466),x102465)))+~P2(f317(f317(f319(f910(x102467,a898)),x102461),f317(f317(f56(x102467),x102466),x102465)))
% 192.07/191.94 [10297]~P9(x102973,x102977,x102976)+E(x102971,x102972)+~P12(x102973,f910(x102975,a898),x102976,x102974)+~E(f317(f317(f36(x102973,f910(x102975,a898)),x102971),x102974),f317(f317(f36(x102973,f910(x102975,a898)),x102972),x102974))+P2(f317(f317(f319(x102973),f523(x102971,x102972,x102974,x102975,x102976,x102977,x102973)),x102977))+~P2(f317(f317(f319(f910(x102973,a898)),x102972),f317(f317(f56(x102973),x102977),x102976)))+~P2(f317(f317(f319(f910(x102973,a898)),x102971),f317(f317(f56(x102973),x102977),x102976)))
% 192.07/191.94 [10298]~P9(x102983,x102987,x102986)+E(x102981,x102982)+~P12(x102983,f910(x102985,a898),x102986,x102984)+~E(f317(f317(f36(x102983,f910(x102985,a898)),x102981),x102984),f317(f317(f36(x102983,f910(x102985,a898)),x102982),x102984))+P2(f317(f317(f319(x102983),f522(x102981,x102982,x102984,x102985,x102986,x102987,x102983)),x102987))+~P2(f317(f317(f319(f910(x102983,a898)),x102982),f317(f317(f56(x102983),x102987),x102986)))+~P2(f317(f317(f319(f910(x102983,a898)),x102981),f317(f317(f56(x102983),x102987),x102986)))
% 192.07/191.94 [10376]E(x103761,x103762)+~P9(x103763,x103766,x103767)+~P12(x103763,f910(x103764,a898),x103767,x103765)+~E(f317(f317(f36(x103763,f910(x103764,a898)),x103761),x103765),f317(f317(f36(x103763,f910(x103764,a898)),x103762),x103765))+~P2(f317(f317(f319(f909(x103763,x103763)),f317(f317(f242(x103763,x103763),f523(x103761,x103762,x103765,x103764,x103767,x103766,x103763)),f522(x103761,x103762,x103765,x103764,x103767,x103766,x103763))),x103767))+~P2(f317(f317(f319(f910(x103763,a898)),x103762),f317(f317(f56(x103763),x103766),x103767)))+~P2(f317(f317(f319(f910(x103763,a898)),x103761),f317(f317(f56(x103763),x103766),x103767)))
% 192.07/191.94 [9225]~P9(x92251,x92257,x92254)+~E(x92255,x92256)+~P2(f317(f317(f319(x92251),x92253),x92256))+~P2(f317(f317(f319(x92251),x92252),x92255))+~P2(f317(f317(f319(f910(x92251,a898)),x92256),f317(f317(f56(x92251),x92257),x92254)))+~P2(f317(f317(f319(f910(x92251,a898)),x92255),f317(f317(f56(x92251),x92257),x92254)))+P2(f317(f317(f319(f909(x92251,x92251)),f317(f317(f242(x92251,x92251),x92252),x92253)),x92254))
% 192.07/191.94 [9364]E(x93641,x93642)+~P9(x93643,x93644,x93645)+~P2(f317(f317(f319(x93643),x93646),x93642))+~P2(f317(f317(f319(x93643),x93647),x93641))+~P2(f317(f317(f319(f910(x93643,a898)),x93642),f317(f317(f56(x93643),x93644),x93645)))+~P2(f317(f317(f319(f910(x93643,a898)),x93641),f317(f317(f56(x93643),x93644),x93645)))+~P2(f317(f317(f319(f909(x93643,x93643)),f317(f317(f242(x93643,x93643),x93647),x93646)),x93645))
% 192.07/191.94 [10403]~P9(x104039,x104038,x104037)+~P9(x104031,x1040311,x1040310)+~P13(x104031,x104039,f910(x104036,a898),x1040310,x104037,x104035)+P2(f317(f317(f319(x104031),f524(x104032,x104033,x104034,x104035,x104036,x104037,x104038,x104039,x1040310,x1040311,x104031)),x1040311))+~P2(f317(f317(f319(f910(x104039,a898)),x104033),f317(f317(f56(x104039),x104038),x104037)))+~P2(f317(f317(f319(f910(x104031,a898)),x104034),f317(f317(f56(x104031),x1040311),x1040310)))+P2(f317(f317(f319(f910(x104036,a898)),f317(f317(f36(x104031,f910(x104036,a898)),x104034),f317(f317(f10(f910(x104039,f910(x104036,a898)),f910(x104036,a898),x104031),f317(f36(x104039,f910(x104036,a898)),x104033)),x104035))),x104032))
% 192.07/191.94 [10404]~P9(x1040411,x1040410,x104049)+~P9(x104041,x104048,x104047)+~P13(x1040411,x104041,f910(x104046,a898),x104049,x104047,x104045)+P2(f317(f317(f319(x104041),f525(x104042,x104043,x104044,x104045,x104046,x104047,x104048,x104041,x104049,x1040410,x1040411)),x104048))+~P2(f317(f317(f319(f910(x1040411,a898)),x104044),f317(f317(f56(x1040411),x1040410),x104049)))+~P2(f317(f317(f319(f910(x104041,a898)),x104043),f317(f317(f56(x104041),x104048),x104047)))+P2(f317(f317(f319(f910(x104046,a898)),f317(f317(f36(x1040411,f910(x104046,a898)),x104044),f317(f317(f10(f910(x104041,f910(x104046,a898)),f910(x104046,a898),x1040411),f317(f36(x104041,f910(x104046,a898)),x104043)),x104045))),x104042))
% 192.07/191.94 [10405]~P9(x104052,x104058,x104059)+~P9(x104054,x1040510,x1040511)+~P13(x104052,x104054,f910(x104051,a898),x104059,x1040511,x104056)+~P2(f317(f317(f319(f910(x104052,a898)),x104053),f317(f317(f56(x104052),x104058),x104059)))+~P2(f317(f317(f319(f910(x104054,a898)),x104055),f317(f317(f56(x104054),x1040510),x1040511)))+~P2(f317(f317(f319(f910(x104051,a898)),f317(f317(x104056,f524(x104057,x104055,x104053,x104056,x104051,x1040511,x1040510,x104054,x104059,x104058,x104052)),f525(x104057,x104055,x104053,x104056,x104051,x1040511,x1040510,x104054,x104059,x104058,x104052))),x104057))+P2(f317(f317(f319(f910(x104051,a898)),f317(f317(f36(x104052,f910(x104051,a898)),x104053),f317(f317(f10(f910(x104054,f910(x104051,a898)),f910(x104051,a898),x104052),f317(f36(x104054,f910(x104051,a898)),x104055)),x104056))),x104057))
% 192.07/191.94 [9261]E(x92611,x92612)+~P108(x92614)+~P25(x92613,x92614,x92615,f317(f317(f100(f910(x92613,a898)),f317(f162(x92613),x92611)),f317(f162(x92613),x92612)))+~E(f317(f162(x92613),x92611),f317(f162(x92613),x92612))+~P14(x92614,f317(f317(f144(x92613,x92614),x92615),x92612))+~P14(x92614,f317(f317(f144(x92613,x92614),x92615),x92611))+~P2(f317(f127(x92614),f317(f317(f144(x92613,x92614),x92615),x92612)))+~P2(f317(f127(x92614),f317(f317(f144(x92613,x92614),x92615),x92611)))
% 192.07/191.94 %EqnAxiom
% 192.07/191.94 [1]E(x11,x11)
% 192.07/191.94 [2]E(x22,x21)+~E(x21,x22)
% 192.07/191.94 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 192.07/191.94 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 192.07/191.94 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 192.07/191.94 [6]~E(x61,x62)+E(f90(x61),f90(x62))
% 192.07/191.94 [7]~E(x71,x72)+E(f178(x71),f178(x72))
% 192.07/191.94 [8]~E(x81,x82)+E(f317(x81,x83),f317(x82,x83))
% 192.07/191.94 [9]~E(x91,x92)+E(f317(x93,x91),f317(x93,x92))
% 192.07/191.94 [10]~E(x101,x102)+E(f78(x101),f78(x102))
% 192.07/191.94 [11]~E(x111,x112)+E(f252(x111),f252(x112))
% 192.07/191.94 [12]~E(x121,x122)+E(f41(x121,x123,x124),f41(x122,x123,x124))
% 192.07/191.94 [13]~E(x131,x132)+E(f41(x133,x131,x134),f41(x133,x132,x134))
% 192.07/191.94 [14]~E(x141,x142)+E(f41(x143,x144,x141),f41(x143,x144,x142))
% 192.07/191.94 [15]~E(x151,x152)+E(f904(x151),f904(x152))
% 192.07/191.94 [16]~E(x161,x162)+E(f91(x161),f91(x162))
% 192.07/191.94 [17]~E(x171,x172)+E(f224(x171),f224(x172))
% 192.07/191.94 [18]~E(x181,x182)+E(f100(x181),f100(x182))
% 192.07/191.94 [19]~E(x191,x192)+E(f225(x191),f225(x192))
% 192.07/191.94 [20]~E(x201,x202)+E(f92(x201),f92(x202))
% 192.07/191.94 [21]~E(x211,x212)+E(f25(x211),f25(x212))
% 192.07/191.94 [22]~E(x221,x222)+E(f72(x221),f72(x222))
% 192.07/191.94 [23]~E(x231,x232)+E(f525(x231,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f525(x232,x233,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 192.07/191.94 [24]~E(x241,x242)+E(f525(x243,x241,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f525(x243,x242,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 192.07/191.94 [25]~E(x251,x252)+E(f525(x253,x254,x251,x255,x256,x257,x258,x259,x2510,x2511,x2512),f525(x253,x254,x252,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 192.07/191.94 [26]~E(x261,x262)+E(f525(x263,x264,x265,x261,x266,x267,x268,x269,x2610,x2611,x2612),f525(x263,x264,x265,x262,x266,x267,x268,x269,x2610,x2611,x2612))
% 192.07/191.94 [27]~E(x271,x272)+E(f525(x273,x274,x275,x276,x271,x277,x278,x279,x2710,x2711,x2712),f525(x273,x274,x275,x276,x272,x277,x278,x279,x2710,x2711,x2712))
% 192.07/191.94 [28]~E(x281,x282)+E(f525(x283,x284,x285,x286,x287,x281,x288,x289,x2810,x2811,x2812),f525(x283,x284,x285,x286,x287,x282,x288,x289,x2810,x2811,x2812))
% 192.07/191.94 [29]~E(x291,x292)+E(f525(x293,x294,x295,x296,x297,x298,x291,x299,x2910,x2911,x2912),f525(x293,x294,x295,x296,x297,x298,x292,x299,x2910,x2911,x2912))
% 192.07/191.94 [30]~E(x301,x302)+E(f525(x303,x304,x305,x306,x307,x308,x309,x301,x3010,x3011,x3012),f525(x303,x304,x305,x306,x307,x308,x309,x302,x3010,x3011,x3012))
% 192.07/191.94 [31]~E(x311,x312)+E(f525(x313,x314,x315,x316,x317,x318,x319,x3110,x311,x3111,x3112),f525(x313,x314,x315,x316,x317,x318,x319,x3110,x312,x3111,x3112))
% 192.07/191.94 [32]~E(x321,x322)+E(f525(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x321,x3212),f525(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x322,x3212))
% 192.07/191.94 [33]~E(x331,x332)+E(f525(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x331),f525(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x3312,x332))
% 192.07/191.94 [34]~E(x341,x342)+E(f29(x341),f29(x342))
% 192.07/191.94 [35]~E(x351,x352)+E(f101(x351),f101(x352))
% 192.07/191.94 [36]~E(x361,x362)+E(f524(x361,x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f524(x362,x363,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612))
% 192.07/191.94 [37]~E(x371,x372)+E(f524(x373,x371,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f524(x373,x372,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 192.07/191.94 [38]~E(x381,x382)+E(f524(x383,x384,x381,x385,x386,x387,x388,x389,x3810,x3811,x3812),f524(x383,x384,x382,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 192.07/191.94 [39]~E(x391,x392)+E(f524(x393,x394,x395,x391,x396,x397,x398,x399,x3910,x3911,x3912),f524(x393,x394,x395,x392,x396,x397,x398,x399,x3910,x3911,x3912))
% 192.07/191.94 [40]~E(x401,x402)+E(f524(x403,x404,x405,x406,x401,x407,x408,x409,x4010,x4011,x4012),f524(x403,x404,x405,x406,x402,x407,x408,x409,x4010,x4011,x4012))
% 192.07/191.94 [41]~E(x411,x412)+E(f524(x413,x414,x415,x416,x417,x411,x418,x419,x4110,x4111,x4112),f524(x413,x414,x415,x416,x417,x412,x418,x419,x4110,x4111,x4112))
% 192.07/191.94 [42]~E(x421,x422)+E(f524(x423,x424,x425,x426,x427,x428,x421,x429,x4210,x4211,x4212),f524(x423,x424,x425,x426,x427,x428,x422,x429,x4210,x4211,x4212))
% 192.07/191.94 [43]~E(x431,x432)+E(f524(x433,x434,x435,x436,x437,x438,x439,x431,x4310,x4311,x4312),f524(x433,x434,x435,x436,x437,x438,x439,x432,x4310,x4311,x4312))
% 192.07/191.94 [44]~E(x441,x442)+E(f524(x443,x444,x445,x446,x447,x448,x449,x4410,x441,x4411,x4412),f524(x443,x444,x445,x446,x447,x448,x449,x4410,x442,x4411,x4412))
% 192.07/191.94 [45]~E(x451,x452)+E(f524(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x451,x4512),f524(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x452,x4512))
% 192.07/191.94 [46]~E(x461,x462)+E(f524(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612,x461),f524(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x4612,x462))
% 192.07/191.94 [47]~E(x471,x472)+E(f319(x471),f319(x472))
% 192.07/191.94 [48]~E(x481,x482)+E(f6(x481),f6(x482))
% 192.07/191.94 [49]~E(x491,x492)+E(f910(x491,x493),f910(x492,x493))
% 192.07/191.94 [50]~E(x501,x502)+E(f910(x503,x501),f910(x503,x502))
% 192.07/191.94 [51]~E(x511,x512)+E(f906(x511),f906(x512))
% 192.07/191.94 [52]~E(x521,x522)+E(f391(x521,x523,x524),f391(x522,x523,x524))
% 192.07/191.94 [53]~E(x531,x532)+E(f391(x533,x531,x534),f391(x533,x532,x534))
% 192.07/191.94 [54]~E(x541,x542)+E(f391(x543,x544,x541),f391(x543,x544,x542))
% 192.07/191.94 [55]~E(x551,x552)+E(f905(x551),f905(x552))
% 192.07/191.94 [56]~E(x561,x562)+E(f73(x561),f73(x562))
% 192.07/191.94 [57]~E(x571,x572)+E(f127(x571),f127(x572))
% 192.07/191.94 [58]~E(x581,x582)+E(f93(x581),f93(x582))
% 192.07/191.94 [59]~E(x591,x592)+E(f281(x591),f281(x592))
% 192.07/191.94 [60]~E(x601,x602)+E(f179(x601),f179(x602))
% 192.07/191.94 [61]~E(x611,x612)+E(f13(x611,x613),f13(x612,x613))
% 192.07/191.94 [62]~E(x621,x622)+E(f13(x623,x621),f13(x623,x622))
% 192.07/191.94 [63]~E(x631,x632)+E(f233(x631,x633,x634),f233(x632,x633,x634))
% 192.07/191.94 [64]~E(x641,x642)+E(f233(x643,x641,x644),f233(x643,x642,x644))
% 192.07/191.94 [65]~E(x651,x652)+E(f233(x653,x654,x651),f233(x653,x654,x652))
% 192.07/191.94 [66]~E(x661,x662)+E(f10(x661,x663,x664),f10(x662,x663,x664))
% 192.07/191.94 [67]~E(x671,x672)+E(f10(x673,x671,x674),f10(x673,x672,x674))
% 192.07/191.94 [68]~E(x681,x682)+E(f10(x683,x684,x681),f10(x683,x684,x682))
% 192.07/191.94 [69]~E(x691,x692)+E(f390(x691,x693,x694),f390(x692,x693,x694))
% 192.07/191.94 [70]~E(x701,x702)+E(f390(x703,x701,x704),f390(x703,x702,x704))
% 192.07/191.94 [71]~E(x711,x712)+E(f390(x713,x714,x711),f390(x713,x714,x712))
% 192.07/191.94 [72]~E(x721,x722)+E(f292(x721,x723),f292(x722,x723))
% 192.07/191.94 [73]~E(x731,x732)+E(f292(x733,x731),f292(x733,x732))
% 192.07/191.94 [74]~E(x741,x742)+E(f144(x741,x743),f144(x742,x743))
% 192.07/191.94 [75]~E(x751,x752)+E(f144(x753,x751),f144(x753,x752))
% 192.07/191.94 [76]~E(x761,x762)+E(f74(x761),f74(x762))
% 192.07/191.94 [77]~E(x771,x772)+E(f226(x771),f226(x772))
% 192.07/191.94 [78]~E(x781,x782)+E(f227(x781),f227(x782))
% 192.07/191.94 [79]~E(x791,x792)+E(f129(x791,x793),f129(x792,x793))
% 192.07/191.94 [80]~E(x801,x802)+E(f129(x803,x801),f129(x803,x802))
% 192.07/191.94 [81]~E(x811,x812)+E(f9(x811,x813,x814),f9(x812,x813,x814))
% 192.07/191.94 [82]~E(x821,x822)+E(f9(x823,x821,x824),f9(x823,x822,x824))
% 192.07/191.94 [83]~E(x831,x832)+E(f9(x833,x834,x831),f9(x833,x834,x832))
% 192.07/191.94 [84]~E(x841,x842)+E(f213(x841,x843,x844,x845,x846),f213(x842,x843,x844,x845,x846))
% 192.07/191.94 [85]~E(x851,x852)+E(f213(x853,x851,x854,x855,x856),f213(x853,x852,x854,x855,x856))
% 192.07/191.94 [86]~E(x861,x862)+E(f213(x863,x864,x861,x865,x866),f213(x863,x864,x862,x865,x866))
% 192.07/191.94 [87]~E(x871,x872)+E(f213(x873,x874,x875,x871,x876),f213(x873,x874,x875,x872,x876))
% 192.07/191.94 [88]~E(x881,x882)+E(f213(x883,x884,x885,x886,x881),f213(x883,x884,x885,x886,x882))
% 192.07/191.94 [89]~E(x891,x892)+E(f162(x891),f162(x892))
% 192.07/191.94 [90]~E(x901,x902)+E(f56(x901),f56(x902))
% 192.07/191.94 [91]~E(x911,x912)+E(f667(x911,x913,x914),f667(x912,x913,x914))
% 192.07/191.94 [92]~E(x921,x922)+E(f667(x923,x921,x924),f667(x923,x922,x924))
% 192.07/191.94 [93]~E(x931,x932)+E(f667(x933,x934,x931),f667(x933,x934,x932))
% 192.07/191.94 [94]~E(x941,x942)+E(f141(x941),f141(x942))
% 192.07/191.94 [95]~E(x951,x952)+E(f170(x951),f170(x952))
% 192.07/191.94 [96]~E(x961,x962)+E(f142(x961,x963),f142(x962,x963))
% 192.07/191.94 [97]~E(x971,x972)+E(f142(x973,x971),f142(x973,x972))
% 192.07/191.94 [98]~E(x981,x982)+E(f124(x981),f124(x982))
% 192.07/191.94 [99]~E(x991,x992)+E(f299(x991),f299(x992))
% 192.07/191.94 [100]~E(x1001,x1002)+E(f20(x1001,x1003,x1004),f20(x1002,x1003,x1004))
% 192.07/191.94 [101]~E(x1011,x1012)+E(f20(x1013,x1011,x1014),f20(x1013,x1012,x1014))
% 192.07/191.94 [102]~E(x1021,x1022)+E(f20(x1023,x1024,x1021),f20(x1023,x1024,x1022))
% 192.07/191.94 [103]~E(x1031,x1032)+E(f232(x1031),f232(x1032))
% 192.07/191.94 [104]~E(x1041,x1042)+E(f103(x1041),f103(x1042))
% 192.07/191.94 [105]~E(x1051,x1052)+E(f35(x1051,x1053),f35(x1052,x1053))
% 192.07/191.94 [106]~E(x1061,x1062)+E(f35(x1063,x1061),f35(x1063,x1062))
% 192.07/191.94 [107]~E(x1071,x1072)+E(f14(x1071,x1073,x1074),f14(x1072,x1073,x1074))
% 192.07/191.94 [108]~E(x1081,x1082)+E(f14(x1083,x1081,x1084),f14(x1083,x1082,x1084))
% 192.07/191.94 [109]~E(x1091,x1092)+E(f14(x1093,x1094,x1091),f14(x1093,x1094,x1092))
% 192.07/191.94 [110]~E(x1101,x1102)+E(f126(x1101,x1103),f126(x1102,x1103))
% 192.07/191.94 [111]~E(x1111,x1112)+E(f126(x1113,x1111),f126(x1113,x1112))
% 192.07/191.94 [112]~E(x1121,x1122)+E(f298(x1121),f298(x1122))
% 192.07/191.94 [113]~E(x1131,x1132)+E(f75(x1131),f75(x1132))
% 192.07/191.94 [114]~E(x1141,x1142)+E(f11(x1141,x1143),f11(x1142,x1143))
% 192.07/191.94 [115]~E(x1151,x1152)+E(f11(x1153,x1151),f11(x1153,x1152))
% 192.07/191.94 [116]~E(x1161,x1162)+E(f691(x1161,x1163,x1164),f691(x1162,x1163,x1164))
% 192.07/191.94 [117]~E(x1171,x1172)+E(f691(x1173,x1171,x1174),f691(x1173,x1172,x1174))
% 192.07/191.94 [118]~E(x1181,x1182)+E(f691(x1183,x1184,x1181),f691(x1183,x1184,x1182))
% 192.07/191.94 [119]~E(x1191,x1192)+E(f31(x1191),f31(x1192))
% 192.07/191.94 [120]~E(x1201,x1202)+E(f242(x1201,x1203),f242(x1202,x1203))
% 192.07/191.94 [121]~E(x1211,x1212)+E(f242(x1213,x1211),f242(x1213,x1212))
% 192.07/191.94 [122]~E(x1221,x1222)+E(f297(x1221,x1223),f297(x1222,x1223))
% 192.07/191.94 [123]~E(x1231,x1232)+E(f297(x1233,x1231),f297(x1233,x1232))
% 192.07/191.94 [124]~E(x1241,x1242)+E(f301(x1241,x1243,x1244),f301(x1242,x1243,x1244))
% 192.07/191.94 [125]~E(x1251,x1252)+E(f301(x1253,x1251,x1254),f301(x1253,x1252,x1254))
% 192.07/191.94 [126]~E(x1261,x1262)+E(f301(x1263,x1264,x1261),f301(x1263,x1264,x1262))
% 192.07/191.94 [127]~E(x1271,x1272)+E(f790(x1271),f790(x1272))
% 192.07/191.94 [128]~E(x1281,x1282)+E(f8(x1281,x1283),f8(x1282,x1283))
% 192.07/191.94 [129]~E(x1291,x1292)+E(f8(x1293,x1291),f8(x1293,x1292))
% 192.07/191.94 [130]~E(x1301,x1302)+E(f165(x1301),f165(x1302))
% 192.07/191.94 [131]~E(x1311,x1312)+E(f95(x1311),f95(x1312))
% 192.07/191.94 [132]~E(x1321,x1322)+E(f96(x1321),f96(x1322))
% 192.07/191.94 [133]~E(x1331,x1332)+E(f318(x1331),f318(x1332))
% 192.07/191.94 [134]~E(x1341,x1342)+E(f909(x1341,x1343),f909(x1342,x1343))
% 192.07/191.94 [135]~E(x1351,x1352)+E(f909(x1353,x1351),f909(x1353,x1352))
% 192.07/191.94 [136]~E(x1361,x1362)+E(f659(x1361),f659(x1362))
% 192.07/191.94 [137]~E(x1371,x1372)+E(f554(x1371,x1373,x1374,x1375),f554(x1372,x1373,x1374,x1375))
% 192.07/191.94 [138]~E(x1381,x1382)+E(f554(x1383,x1381,x1384,x1385),f554(x1383,x1382,x1384,x1385))
% 192.07/191.94 [139]~E(x1391,x1392)+E(f554(x1393,x1394,x1391,x1395),f554(x1393,x1394,x1392,x1395))
% 192.07/191.94 [140]~E(x1401,x1402)+E(f554(x1403,x1404,x1405,x1401),f554(x1403,x1404,x1405,x1402))
% 192.07/191.94 [141]~E(x1411,x1412)+E(f293(x1411,x1413,x1414),f293(x1412,x1413,x1414))
% 192.07/191.94 [142]~E(x1421,x1422)+E(f293(x1423,x1421,x1424),f293(x1423,x1422,x1424))
% 192.07/191.94 [143]~E(x1431,x1432)+E(f293(x1433,x1434,x1431),f293(x1433,x1434,x1432))
% 192.07/191.94 [144]~E(x1441,x1442)+E(f231(x1441,x1443),f231(x1442,x1443))
% 192.07/191.94 [145]~E(x1451,x1452)+E(f231(x1453,x1451),f231(x1453,x1452))
% 192.07/191.94 [146]~E(x1461,x1462)+E(f166(x1461,x1463,x1464),f166(x1462,x1463,x1464))
% 192.07/191.94 [147]~E(x1471,x1472)+E(f166(x1473,x1471,x1474),f166(x1473,x1472,x1474))
% 192.07/191.94 [148]~E(x1481,x1482)+E(f166(x1483,x1484,x1481),f166(x1483,x1484,x1482))
% 192.07/191.94 [149]~E(x1491,x1492)+E(f306(x1491,x1493),f306(x1492,x1493))
% 192.07/191.94 [150]~E(x1501,x1502)+E(f306(x1503,x1501),f306(x1503,x1502))
% 192.07/191.94 [151]~E(x1511,x1512)+E(f158(x1511),f158(x1512))
% 192.07/191.94 [152]~E(x1521,x1522)+E(f823(x1521),f823(x1522))
% 192.07/191.94 [153]~E(x1531,x1532)+E(f7(x1531),f7(x1532))
% 192.07/191.94 [154]~E(x1541,x1542)+E(f247(x1541,x1543,x1544),f247(x1542,x1543,x1544))
% 192.07/191.94 [155]~E(x1551,x1552)+E(f247(x1553,x1551,x1554),f247(x1553,x1552,x1554))
% 192.07/191.94 [156]~E(x1561,x1562)+E(f247(x1563,x1564,x1561),f247(x1563,x1564,x1562))
% 192.07/191.94 [157]~E(x1571,x1572)+E(f132(x1571,x1573,x1574,x1575),f132(x1572,x1573,x1574,x1575))
% 192.07/191.94 [158]~E(x1581,x1582)+E(f132(x1583,x1581,x1584,x1585),f132(x1583,x1582,x1584,x1585))
% 192.07/191.94 [159]~E(x1591,x1592)+E(f132(x1593,x1594,x1591,x1595),f132(x1593,x1594,x1592,x1595))
% 192.07/191.94 [160]~E(x1601,x1602)+E(f132(x1603,x1604,x1605,x1601),f132(x1603,x1604,x1605,x1602))
% 192.07/191.94 [161]~E(x1611,x1612)+E(f243(x1611,x1613,x1614,x1615,x1616),f243(x1612,x1613,x1614,x1615,x1616))
% 192.07/191.94 [162]~E(x1621,x1622)+E(f243(x1623,x1621,x1624,x1625,x1626),f243(x1623,x1622,x1624,x1625,x1626))
% 192.07/191.94 [163]~E(x1631,x1632)+E(f243(x1633,x1634,x1631,x1635,x1636),f243(x1633,x1634,x1632,x1635,x1636))
% 192.07/191.94 [164]~E(x1641,x1642)+E(f243(x1643,x1644,x1645,x1641,x1646),f243(x1643,x1644,x1645,x1642,x1646))
% 192.07/191.94 [165]~E(x1651,x1652)+E(f243(x1653,x1654,x1655,x1656,x1651),f243(x1653,x1654,x1655,x1656,x1652))
% 192.07/191.94 [166]~E(x1661,x1662)+E(f240(x1661,x1663,x1664),f240(x1662,x1663,x1664))
% 192.07/191.94 [167]~E(x1671,x1672)+E(f240(x1673,x1671,x1674),f240(x1673,x1672,x1674))
% 192.07/191.94 [168]~E(x1681,x1682)+E(f240(x1683,x1684,x1681),f240(x1683,x1684,x1682))
% 192.07/191.94 [169]~E(x1691,x1692)+E(f300(x1691,x1693,x1694),f300(x1692,x1693,x1694))
% 192.07/191.94 [170]~E(x1701,x1702)+E(f300(x1703,x1701,x1704),f300(x1703,x1702,x1704))
% 192.07/191.94 [171]~E(x1711,x1712)+E(f300(x1713,x1714,x1711),f300(x1713,x1714,x1712))
% 192.07/191.94 [172]~E(x1721,x1722)+E(f30(x1721),f30(x1722))
% 192.07/191.94 [173]~E(x1731,x1732)+E(f59(x1731,x1733,x1734),f59(x1732,x1733,x1734))
% 192.07/191.94 [174]~E(x1741,x1742)+E(f59(x1743,x1741,x1744),f59(x1743,x1742,x1744))
% 192.07/191.94 [175]~E(x1751,x1752)+E(f59(x1753,x1754,x1751),f59(x1753,x1754,x1752))
% 192.07/191.94 [176]~E(x1761,x1762)+E(f291(x1761),f291(x1762))
% 192.07/191.94 [177]~E(x1771,x1772)+E(f70(x1771),f70(x1772))
% 192.07/191.94 [178]~E(x1781,x1782)+E(f764(x1781,x1783,x1784,x1785),f764(x1782,x1783,x1784,x1785))
% 192.07/191.94 [179]~E(x1791,x1792)+E(f764(x1793,x1791,x1794,x1795),f764(x1793,x1792,x1794,x1795))
% 192.07/191.94 [180]~E(x1801,x1802)+E(f764(x1803,x1804,x1801,x1805),f764(x1803,x1804,x1802,x1805))
% 192.07/191.94 [181]~E(x1811,x1812)+E(f764(x1813,x1814,x1815,x1811),f764(x1813,x1814,x1815,x1812))
% 192.07/191.94 [182]~E(x1821,x1822)+E(f140(x1821,x1823,x1824,x1825),f140(x1822,x1823,x1824,x1825))
% 192.07/191.94 [183]~E(x1831,x1832)+E(f140(x1833,x1831,x1834,x1835),f140(x1833,x1832,x1834,x1835))
% 192.07/191.94 [184]~E(x1841,x1842)+E(f140(x1843,x1844,x1841,x1845),f140(x1843,x1844,x1842,x1845))
% 192.07/191.94 [185]~E(x1851,x1852)+E(f140(x1853,x1854,x1855,x1851),f140(x1853,x1854,x1855,x1852))
% 192.07/191.94 [186]~E(x1861,x1862)+E(f725(x1861,x1863,x1864),f725(x1862,x1863,x1864))
% 192.07/191.94 [187]~E(x1871,x1872)+E(f725(x1873,x1871,x1874),f725(x1873,x1872,x1874))
% 192.07/191.94 [188]~E(x1881,x1882)+E(f725(x1883,x1884,x1881),f725(x1883,x1884,x1882))
% 192.07/191.94 [189]~E(x1891,x1892)+E(f32(x1891,x1893),f32(x1892,x1893))
% 192.07/191.94 [190]~E(x1901,x1902)+E(f32(x1903,x1901),f32(x1903,x1902))
% 192.07/191.94 [191]~E(x1911,x1912)+E(f17(x1911,x1913),f17(x1912,x1913))
% 192.07/191.94 [192]~E(x1921,x1922)+E(f17(x1923,x1921),f17(x1923,x1922))
% 192.07/191.94 [193]~E(x1931,x1932)+E(f277(x1931),f277(x1932))
% 192.07/191.94 [194]~E(x1941,x1942)+E(f876(x1941,x1943,x1944),f876(x1942,x1943,x1944))
% 192.07/191.94 [195]~E(x1951,x1952)+E(f876(x1953,x1951,x1954),f876(x1953,x1952,x1954))
% 192.07/191.94 [196]~E(x1961,x1962)+E(f876(x1963,x1964,x1961),f876(x1963,x1964,x1962))
% 192.07/191.94 [197]~E(x1971,x1972)+E(f169(x1971,x1973),f169(x1972,x1973))
% 192.07/191.94 [198]~E(x1981,x1982)+E(f169(x1983,x1981),f169(x1983,x1982))
% 192.07/191.94 [199]~E(x1991,x1992)+E(f234(x1991),f234(x1992))
% 192.07/191.94 [200]~E(x2001,x2002)+E(f154(x2001),f154(x2002))
% 192.07/191.94 [201]~E(x2011,x2012)+E(f39(x2011),f39(x2012))
% 192.07/191.94 [202]~E(x2021,x2022)+E(f168(x2021,x2023),f168(x2022,x2023))
% 192.07/191.94 [203]~E(x2031,x2032)+E(f168(x2033,x2031),f168(x2033,x2032))
% 192.07/191.94 [204]~E(x2041,x2042)+E(f765(x2041,x2043,x2044,x2045),f765(x2042,x2043,x2044,x2045))
% 192.07/191.94 [205]~E(x2051,x2052)+E(f765(x2053,x2051,x2054,x2055),f765(x2053,x2052,x2054,x2055))
% 192.07/191.94 [206]~E(x2061,x2062)+E(f765(x2063,x2064,x2061,x2065),f765(x2063,x2064,x2062,x2065))
% 192.07/191.94 [207]~E(x2071,x2072)+E(f765(x2073,x2074,x2075,x2071),f765(x2073,x2074,x2075,x2072))
% 192.07/191.94 [208]~E(x2081,x2082)+E(f167(x2081,x2083,x2084),f167(x2082,x2083,x2084))
% 192.07/191.94 [209]~E(x2091,x2092)+E(f167(x2093,x2091,x2094),f167(x2093,x2092,x2094))
% 192.07/191.94 [210]~E(x2101,x2102)+E(f167(x2103,x2104,x2101),f167(x2103,x2104,x2102))
% 192.07/191.94 [211]~E(x2111,x2112)+E(f149(x2111,x2113),f149(x2112,x2113))
% 192.07/191.94 [212]~E(x2121,x2122)+E(f149(x2123,x2121),f149(x2123,x2122))
% 192.07/191.94 [213]~E(x2131,x2132)+E(f280(x2131,x2133,x2134,x2135),f280(x2132,x2133,x2134,x2135))
% 192.07/191.94 [214]~E(x2141,x2142)+E(f280(x2143,x2141,x2144,x2145),f280(x2143,x2142,x2144,x2145))
% 192.07/191.94 [215]~E(x2151,x2152)+E(f280(x2153,x2154,x2151,x2155),f280(x2153,x2154,x2152,x2155))
% 192.07/191.94 [216]~E(x2161,x2162)+E(f280(x2163,x2164,x2165,x2161),f280(x2163,x2164,x2165,x2162))
% 192.07/191.94 [217]~E(x2171,x2172)+E(f908(x2171,x2173),f908(x2172,x2173))
% 192.07/191.94 [218]~E(x2181,x2182)+E(f908(x2183,x2181),f908(x2183,x2182))
% 192.07/191.94 [219]~E(x2191,x2192)+E(f143(x2191,x2193),f143(x2192,x2193))
% 192.07/191.94 [220]~E(x2201,x2202)+E(f143(x2203,x2201),f143(x2203,x2202))
% 192.07/191.94 [221]~E(x2211,x2212)+E(f36(x2211,x2213),f36(x2212,x2213))
% 192.07/191.94 [222]~E(x2221,x2222)+E(f36(x2223,x2221),f36(x2223,x2222))
% 192.07/191.94 [223]~E(x2231,x2232)+E(f171(x2231,x2233),f171(x2232,x2233))
% 192.07/191.94 [224]~E(x2241,x2242)+E(f171(x2243,x2241),f171(x2243,x2242))
% 192.07/191.94 [225]~E(x2251,x2252)+E(f135(x2251,x2253),f135(x2252,x2253))
% 192.07/191.94 [226]~E(x2261,x2262)+E(f135(x2263,x2261),f135(x2263,x2262))
% 192.07/191.94 [227]~E(x2271,x2272)+E(f18(x2271,x2273),f18(x2272,x2273))
% 192.07/191.94 [228]~E(x2281,x2282)+E(f18(x2283,x2281),f18(x2283,x2282))
% 192.07/191.94 [229]~E(x2291,x2292)+E(f762(x2291,x2293,x2294,x2295),f762(x2292,x2293,x2294,x2295))
% 192.07/191.94 [230]~E(x2301,x2302)+E(f762(x2303,x2301,x2304,x2305),f762(x2303,x2302,x2304,x2305))
% 192.07/191.94 [231]~E(x2311,x2312)+E(f762(x2313,x2314,x2311,x2315),f762(x2313,x2314,x2312,x2315))
% 192.07/191.94 [232]~E(x2321,x2322)+E(f762(x2323,x2324,x2325,x2321),f762(x2323,x2324,x2325,x2322))
% 192.07/191.94 [233]~E(x2331,x2332)+E(f85(x2331,x2333,x2334,x2335),f85(x2332,x2333,x2334,x2335))
% 192.07/191.94 [234]~E(x2341,x2342)+E(f85(x2343,x2341,x2344,x2345),f85(x2343,x2342,x2344,x2345))
% 192.07/191.94 [235]~E(x2351,x2352)+E(f85(x2353,x2354,x2351,x2355),f85(x2353,x2354,x2352,x2355))
% 192.07/191.94 [236]~E(x2361,x2362)+E(f85(x2363,x2364,x2365,x2361),f85(x2363,x2364,x2365,x2362))
% 192.07/191.94 [237]~E(x2371,x2372)+E(f67(x2371,x2373,x2374,x2375),f67(x2372,x2373,x2374,x2375))
% 192.07/191.94 [238]~E(x2381,x2382)+E(f67(x2383,x2381,x2384,x2385),f67(x2383,x2382,x2384,x2385))
% 192.07/191.94 [239]~E(x2391,x2392)+E(f67(x2393,x2394,x2391,x2395),f67(x2393,x2394,x2392,x2395))
% 192.07/191.94 [240]~E(x2401,x2402)+E(f67(x2403,x2404,x2405,x2401),f67(x2403,x2404,x2405,x2402))
% 192.07/191.94 [241]~E(x2411,x2412)+E(f850(x2411,x2413,x2414),f850(x2412,x2413,x2414))
% 192.07/191.94 [242]~E(x2421,x2422)+E(f850(x2423,x2421,x2424),f850(x2423,x2422,x2424))
% 192.07/191.94 [243]~E(x2431,x2432)+E(f850(x2433,x2434,x2431),f850(x2433,x2434,x2432))
% 192.07/191.94 [244]~E(x2441,x2442)+E(f128(x2441),f128(x2442))
% 192.07/191.94 [245]~E(x2451,x2452)+E(f104(x2451,x2453),f104(x2452,x2453))
% 192.07/191.94 [246]~E(x2461,x2462)+E(f104(x2463,x2461),f104(x2463,x2462))
% 192.07/191.94 [247]~E(x2471,x2472)+E(f856(x2471,x2473,x2474),f856(x2472,x2473,x2474))
% 192.07/191.94 [248]~E(x2481,x2482)+E(f856(x2483,x2481,x2484),f856(x2483,x2482,x2484))
% 192.07/191.94 [249]~E(x2491,x2492)+E(f856(x2493,x2494,x2491),f856(x2493,x2494,x2492))
% 192.07/191.94 [250]~E(x2501,x2502)+E(f244(x2501,x2503),f244(x2502,x2503))
% 192.07/191.94 [251]~E(x2511,x2512)+E(f244(x2513,x2511),f244(x2513,x2512))
% 192.07/191.94 [252]~E(x2521,x2522)+E(f381(x2521,x2523,x2524),f381(x2522,x2523,x2524))
% 192.07/191.94 [253]~E(x2531,x2532)+E(f381(x2533,x2531,x2534),f381(x2533,x2532,x2534))
% 192.07/191.94 [254]~E(x2541,x2542)+E(f381(x2543,x2544,x2541),f381(x2543,x2544,x2542))
% 192.07/191.94 [255]~E(x2551,x2552)+E(f758(x2551,x2553,x2554),f758(x2552,x2553,x2554))
% 192.07/191.94 [256]~E(x2561,x2562)+E(f758(x2563,x2561,x2564),f758(x2563,x2562,x2564))
% 192.07/191.94 [257]~E(x2571,x2572)+E(f758(x2573,x2574,x2571),f758(x2573,x2574,x2572))
% 192.07/191.94 [258]~E(x2581,x2582)+E(f181(x2581),f181(x2582))
% 192.07/191.94 [259]~E(x2591,x2592)+E(f865(x2591,x2593,x2594),f865(x2592,x2593,x2594))
% 192.07/191.94 [260]~E(x2601,x2602)+E(f865(x2603,x2601,x2604),f865(x2603,x2602,x2604))
% 192.07/191.94 [261]~E(x2611,x2612)+E(f865(x2613,x2614,x2611),f865(x2613,x2614,x2612))
% 192.07/191.94 [262]~E(x2621,x2622)+E(f105(x2621),f105(x2622))
% 192.07/191.94 [263]~E(x2631,x2632)+E(f294(x2631),f294(x2632))
% 192.07/191.94 [264]~E(x2641,x2642)+E(f907(x2641,x2643),f907(x2642,x2643))
% 192.07/191.94 [265]~E(x2651,x2652)+E(f907(x2653,x2651),f907(x2653,x2652))
% 192.07/191.94 [266]~E(x2661,x2662)+E(f121(x2661,x2663,x2664,x2665),f121(x2662,x2663,x2664,x2665))
% 192.07/191.94 [267]~E(x2671,x2672)+E(f121(x2673,x2671,x2674,x2675),f121(x2673,x2672,x2674,x2675))
% 192.07/191.94 [268]~E(x2681,x2682)+E(f121(x2683,x2684,x2681,x2685),f121(x2683,x2684,x2682,x2685))
% 192.07/191.94 [269]~E(x2691,x2692)+E(f121(x2693,x2694,x2695,x2691),f121(x2693,x2694,x2695,x2692))
% 192.07/191.94 [270]~E(x2701,x2702)+E(f157(x2701),f157(x2702))
% 192.07/191.94 [271]~E(x2711,x2712)+E(f802(x2711,x2713),f802(x2712,x2713))
% 192.07/191.94 [272]~E(x2721,x2722)+E(f802(x2723,x2721),f802(x2723,x2722))
% 192.07/191.94 [273]~E(x2731,x2732)+E(f245(x2731,x2733,x2734,x2735),f245(x2732,x2733,x2734,x2735))
% 192.07/191.94 [274]~E(x2741,x2742)+E(f245(x2743,x2741,x2744,x2745),f245(x2743,x2742,x2744,x2745))
% 192.07/191.94 [275]~E(x2751,x2752)+E(f245(x2753,x2754,x2751,x2755),f245(x2753,x2754,x2752,x2755))
% 192.07/191.94 [276]~E(x2761,x2762)+E(f245(x2763,x2764,x2765,x2761),f245(x2763,x2764,x2765,x2762))
% 192.07/191.94 [277]~E(x2771,x2772)+E(f71(x2771,x2773,x2774,x2775),f71(x2772,x2773,x2774,x2775))
% 192.07/191.94 [278]~E(x2781,x2782)+E(f71(x2783,x2781,x2784,x2785),f71(x2783,x2782,x2784,x2785))
% 192.07/191.94 [279]~E(x2791,x2792)+E(f71(x2793,x2794,x2791,x2795),f71(x2793,x2794,x2792,x2795))
% 192.07/191.94 [280]~E(x2801,x2802)+E(f71(x2803,x2804,x2805,x2801),f71(x2803,x2804,x2805,x2802))
% 192.07/191.94 [281]~E(x2811,x2812)+E(f161(x2811),f161(x2812))
% 192.07/191.94 [282]~E(x2821,x2822)+E(f443(x2821,x2823),f443(x2822,x2823))
% 192.07/191.94 [283]~E(x2831,x2832)+E(f443(x2833,x2831),f443(x2833,x2832))
% 192.07/191.94 [284]~E(x2841,x2842)+E(f249(x2841,x2843,x2844,x2845),f249(x2842,x2843,x2844,x2845))
% 192.07/191.94 [285]~E(x2851,x2852)+E(f249(x2853,x2851,x2854,x2855),f249(x2853,x2852,x2854,x2855))
% 192.07/191.94 [286]~E(x2861,x2862)+E(f249(x2863,x2864,x2861,x2865),f249(x2863,x2864,x2862,x2865))
% 192.07/191.94 [287]~E(x2871,x2872)+E(f249(x2873,x2874,x2875,x2871),f249(x2873,x2874,x2875,x2872))
% 192.07/191.94 [288]~E(x2881,x2882)+E(f429(x2881,x2883,x2884,x2885,x2886,x2887,x2888,x2889),f429(x2882,x2883,x2884,x2885,x2886,x2887,x2888,x2889))
% 192.07/191.94 [289]~E(x2891,x2892)+E(f429(x2893,x2891,x2894,x2895,x2896,x2897,x2898,x2899),f429(x2893,x2892,x2894,x2895,x2896,x2897,x2898,x2899))
% 192.07/191.94 [290]~E(x2901,x2902)+E(f429(x2903,x2904,x2901,x2905,x2906,x2907,x2908,x2909),f429(x2903,x2904,x2902,x2905,x2906,x2907,x2908,x2909))
% 192.07/191.94 [291]~E(x2911,x2912)+E(f429(x2913,x2914,x2915,x2911,x2916,x2917,x2918,x2919),f429(x2913,x2914,x2915,x2912,x2916,x2917,x2918,x2919))
% 192.07/191.94 [292]~E(x2921,x2922)+E(f429(x2923,x2924,x2925,x2926,x2921,x2927,x2928,x2929),f429(x2923,x2924,x2925,x2926,x2922,x2927,x2928,x2929))
% 192.07/191.94 [293]~E(x2931,x2932)+E(f429(x2933,x2934,x2935,x2936,x2937,x2931,x2938,x2939),f429(x2933,x2934,x2935,x2936,x2937,x2932,x2938,x2939))
% 192.07/191.94 [294]~E(x2941,x2942)+E(f429(x2943,x2944,x2945,x2946,x2947,x2948,x2941,x2949),f429(x2943,x2944,x2945,x2946,x2947,x2948,x2942,x2949))
% 192.07/191.94 [295]~E(x2951,x2952)+E(f429(x2953,x2954,x2955,x2956,x2957,x2958,x2959,x2951),f429(x2953,x2954,x2955,x2956,x2957,x2958,x2959,x2952))
% 192.07/191.94 [296]~E(x2961,x2962)+E(f55(x2961,x2963,x2964,x2965),f55(x2962,x2963,x2964,x2965))
% 192.07/191.94 [297]~E(x2971,x2972)+E(f55(x2973,x2971,x2974,x2975),f55(x2973,x2972,x2974,x2975))
% 192.07/191.94 [298]~E(x2981,x2982)+E(f55(x2983,x2984,x2981,x2985),f55(x2983,x2984,x2982,x2985))
% 192.07/191.94 [299]~E(x2991,x2992)+E(f55(x2993,x2994,x2995,x2991),f55(x2993,x2994,x2995,x2992))
% 192.07/191.94 [300]~E(x3001,x3002)+E(f137(x3001,x3003),f137(x3002,x3003))
% 192.07/191.94 [301]~E(x3011,x3012)+E(f137(x3013,x3011),f137(x3013,x3012))
% 192.07/191.94 [302]~E(x3021,x3022)+E(f405(x3021,x3023,x3024,x3025,x3026,x3027,x3028),f405(x3022,x3023,x3024,x3025,x3026,x3027,x3028))
% 192.07/191.94 [303]~E(x3031,x3032)+E(f405(x3033,x3031,x3034,x3035,x3036,x3037,x3038),f405(x3033,x3032,x3034,x3035,x3036,x3037,x3038))
% 192.07/191.94 [304]~E(x3041,x3042)+E(f405(x3043,x3044,x3041,x3045,x3046,x3047,x3048),f405(x3043,x3044,x3042,x3045,x3046,x3047,x3048))
% 192.07/191.94 [305]~E(x3051,x3052)+E(f405(x3053,x3054,x3055,x3051,x3056,x3057,x3058),f405(x3053,x3054,x3055,x3052,x3056,x3057,x3058))
% 192.07/191.94 [306]~E(x3061,x3062)+E(f405(x3063,x3064,x3065,x3066,x3061,x3067,x3068),f405(x3063,x3064,x3065,x3066,x3062,x3067,x3068))
% 192.07/191.94 [307]~E(x3071,x3072)+E(f405(x3073,x3074,x3075,x3076,x3077,x3071,x3078),f405(x3073,x3074,x3075,x3076,x3077,x3072,x3078))
% 192.07/191.94 [308]~E(x3081,x3082)+E(f405(x3083,x3084,x3085,x3086,x3087,x3088,x3081),f405(x3083,x3084,x3085,x3086,x3087,x3088,x3082))
% 192.07/191.94 [309]~E(x3091,x3092)+E(f145(x3091,x3093,x3094),f145(x3092,x3093,x3094))
% 192.07/191.94 [310]~E(x3101,x3102)+E(f145(x3103,x3101,x3104),f145(x3103,x3102,x3104))
% 192.07/191.94 [311]~E(x3111,x3112)+E(f145(x3113,x3114,x3111),f145(x3113,x3114,x3112))
% 192.07/191.94 [312]~E(x3121,x3122)+E(f248(x3121,x3123,x3124,x3125,x3126,x3127),f248(x3122,x3123,x3124,x3125,x3126,x3127))
% 192.07/191.94 [313]~E(x3131,x3132)+E(f248(x3133,x3131,x3134,x3135,x3136,x3137),f248(x3133,x3132,x3134,x3135,x3136,x3137))
% 192.07/191.94 [314]~E(x3141,x3142)+E(f248(x3143,x3144,x3141,x3145,x3146,x3147),f248(x3143,x3144,x3142,x3145,x3146,x3147))
% 192.07/191.94 [315]~E(x3151,x3152)+E(f248(x3153,x3154,x3155,x3151,x3156,x3157),f248(x3153,x3154,x3155,x3152,x3156,x3157))
% 192.07/191.94 [316]~E(x3161,x3162)+E(f248(x3163,x3164,x3165,x3166,x3161,x3167),f248(x3163,x3164,x3165,x3166,x3162,x3167))
% 192.07/191.94 [317]~E(x3171,x3172)+E(f248(x3173,x3174,x3175,x3176,x3177,x3171),f248(x3173,x3174,x3175,x3176,x3177,x3172))
% 192.07/191.94 [318]~E(x3181,x3182)+E(f305(x3181,x3183),f305(x3182,x3183))
% 192.07/191.94 [319]~E(x3191,x3192)+E(f305(x3193,x3191),f305(x3193,x3192))
% 192.07/191.94 [320]~E(x3201,x3202)+E(f617(x3201,x3203,x3204,x3205,x3206),f617(x3202,x3203,x3204,x3205,x3206))
% 192.07/191.94 [321]~E(x3211,x3212)+E(f617(x3213,x3211,x3214,x3215,x3216),f617(x3213,x3212,x3214,x3215,x3216))
% 192.07/191.94 [322]~E(x3221,x3222)+E(f617(x3223,x3224,x3221,x3225,x3226),f617(x3223,x3224,x3222,x3225,x3226))
% 192.07/191.94 [323]~E(x3231,x3232)+E(f617(x3233,x3234,x3235,x3231,x3236),f617(x3233,x3234,x3235,x3232,x3236))
% 192.07/191.94 [324]~E(x3241,x3242)+E(f617(x3243,x3244,x3245,x3246,x3241),f617(x3243,x3244,x3245,x3246,x3242))
% 192.07/191.94 [325]~E(x3251,x3252)+E(f246(x3251,x3253),f246(x3252,x3253))
% 192.07/191.94 [326]~E(x3261,x3262)+E(f246(x3263,x3261),f246(x3263,x3262))
% 192.07/191.94 [327]~E(x3271,x3272)+E(f150(x3271,x3273),f150(x3272,x3273))
% 192.07/191.94 [328]~E(x3281,x3282)+E(f150(x3283,x3281),f150(x3283,x3282))
% 192.07/191.94 [329]~E(x3291,x3292)+E(f308(x3291,x3293),f308(x3292,x3293))
% 192.07/191.94 [330]~E(x3301,x3302)+E(f308(x3303,x3301),f308(x3303,x3302))
% 192.07/191.94 [331]~E(x3311,x3312)+E(f309(x3311,x3313),f309(x3312,x3313))
% 192.07/191.94 [332]~E(x3321,x3322)+E(f309(x3323,x3321),f309(x3323,x3322))
% 192.07/191.94 [333]~E(x3331,x3332)+E(f548(x3331,x3333,x3334,x3335,x3336),f548(x3332,x3333,x3334,x3335,x3336))
% 192.07/191.94 [334]~E(x3341,x3342)+E(f548(x3343,x3341,x3344,x3345,x3346),f548(x3343,x3342,x3344,x3345,x3346))
% 192.07/191.94 [335]~E(x3351,x3352)+E(f548(x3353,x3354,x3351,x3355,x3356),f548(x3353,x3354,x3352,x3355,x3356))
% 192.07/191.94 [336]~E(x3361,x3362)+E(f548(x3363,x3364,x3365,x3361,x3366),f548(x3363,x3364,x3365,x3362,x3366))
% 192.07/191.94 [337]~E(x3371,x3372)+E(f548(x3373,x3374,x3375,x3376,x3371),f548(x3373,x3374,x3375,x3376,x3372))
% 192.07/191.94 [338]~E(x3381,x3382)+E(f811(x3381,x3383,x3384),f811(x3382,x3383,x3384))
% 192.07/191.94 [339]~E(x3391,x3392)+E(f811(x3393,x3391,x3394),f811(x3393,x3392,x3394))
% 192.07/191.94 [340]~E(x3401,x3402)+E(f811(x3403,x3404,x3401),f811(x3403,x3404,x3402))
% 192.07/191.94 [341]~E(x3411,x3412)+E(f160(x3411,x3413,x3414),f160(x3412,x3413,x3414))
% 192.07/191.94 [342]~E(x3421,x3422)+E(f160(x3423,x3421,x3424),f160(x3423,x3422,x3424))
% 192.07/191.94 [343]~E(x3431,x3432)+E(f160(x3433,x3434,x3431),f160(x3433,x3434,x3432))
% 192.07/191.94 [344]~E(x3441,x3442)+E(f52(x3441),f52(x3442))
% 192.07/191.94 [345]~E(x3451,x3452)+E(f284(x3451,x3453,x3454),f284(x3452,x3453,x3454))
% 192.07/191.94 [346]~E(x3461,x3462)+E(f284(x3463,x3461,x3464),f284(x3463,x3462,x3464))
% 192.07/191.94 [347]~E(x3471,x3472)+E(f284(x3473,x3474,x3471),f284(x3473,x3474,x3472))
% 192.07/191.94 [348]~E(x3481,x3482)+E(f483(x3481,x3483,x3484,x3485,x3486,x3487,x3488),f483(x3482,x3483,x3484,x3485,x3486,x3487,x3488))
% 192.07/191.94 [349]~E(x3491,x3492)+E(f483(x3493,x3491,x3494,x3495,x3496,x3497,x3498),f483(x3493,x3492,x3494,x3495,x3496,x3497,x3498))
% 192.07/191.94 [350]~E(x3501,x3502)+E(f483(x3503,x3504,x3501,x3505,x3506,x3507,x3508),f483(x3503,x3504,x3502,x3505,x3506,x3507,x3508))
% 192.07/191.94 [351]~E(x3511,x3512)+E(f483(x3513,x3514,x3515,x3511,x3516,x3517,x3518),f483(x3513,x3514,x3515,x3512,x3516,x3517,x3518))
% 192.07/191.94 [352]~E(x3521,x3522)+E(f483(x3523,x3524,x3525,x3526,x3521,x3527,x3528),f483(x3523,x3524,x3525,x3526,x3522,x3527,x3528))
% 192.07/191.94 [353]~E(x3531,x3532)+E(f483(x3533,x3534,x3535,x3536,x3537,x3531,x3538),f483(x3533,x3534,x3535,x3536,x3537,x3532,x3538))
% 192.07/191.94 [354]~E(x3541,x3542)+E(f483(x3543,x3544,x3545,x3546,x3547,x3548,x3541),f483(x3543,x3544,x3545,x3546,x3547,x3548,x3542))
% 192.07/191.94 [355]~E(x3551,x3552)+E(f413(x3551,x3553,x3554),f413(x3552,x3553,x3554))
% 192.07/191.94 [356]~E(x3561,x3562)+E(f413(x3563,x3561,x3564),f413(x3563,x3562,x3564))
% 192.07/191.94 [357]~E(x3571,x3572)+E(f413(x3573,x3574,x3571),f413(x3573,x3574,x3572))
% 192.07/191.94 [358]~E(x3581,x3582)+E(f173(x3581,x3583),f173(x3582,x3583))
% 192.07/191.94 [359]~E(x3591,x3592)+E(f173(x3593,x3591),f173(x3593,x3592))
% 192.07/191.94 [360]~E(x3601,x3602)+E(f159(x3601,x3603,x3604),f159(x3602,x3603,x3604))
% 192.07/191.94 [361]~E(x3611,x3612)+E(f159(x3613,x3611,x3614),f159(x3613,x3612,x3614))
% 192.07/191.94 [362]~E(x3621,x3622)+E(f159(x3623,x3624,x3621),f159(x3623,x3624,x3622))
% 192.07/191.94 [363]~E(x3631,x3632)+E(f279(x3631,x3633,x3634),f279(x3632,x3633,x3634))
% 192.07/191.94 [364]~E(x3641,x3642)+E(f279(x3643,x3641,x3644),f279(x3643,x3642,x3644))
% 192.07/191.94 [365]~E(x3651,x3652)+E(f279(x3653,x3654,x3651),f279(x3653,x3654,x3652))
% 192.07/191.94 [366]~E(x3661,x3662)+E(f826(x3661,x3663,x3664,x3665,x3666,x3667,x3668,x3669),f826(x3662,x3663,x3664,x3665,x3666,x3667,x3668,x3669))
% 192.07/191.94 [367]~E(x3671,x3672)+E(f826(x3673,x3671,x3674,x3675,x3676,x3677,x3678,x3679),f826(x3673,x3672,x3674,x3675,x3676,x3677,x3678,x3679))
% 192.07/191.94 [368]~E(x3681,x3682)+E(f826(x3683,x3684,x3681,x3685,x3686,x3687,x3688,x3689),f826(x3683,x3684,x3682,x3685,x3686,x3687,x3688,x3689))
% 192.07/191.94 [369]~E(x3691,x3692)+E(f826(x3693,x3694,x3695,x3691,x3696,x3697,x3698,x3699),f826(x3693,x3694,x3695,x3692,x3696,x3697,x3698,x3699))
% 192.07/191.94 [370]~E(x3701,x3702)+E(f826(x3703,x3704,x3705,x3706,x3701,x3707,x3708,x3709),f826(x3703,x3704,x3705,x3706,x3702,x3707,x3708,x3709))
% 192.07/191.94 [371]~E(x3711,x3712)+E(f826(x3713,x3714,x3715,x3716,x3717,x3711,x3718,x3719),f826(x3713,x3714,x3715,x3716,x3717,x3712,x3718,x3719))
% 192.07/191.94 [372]~E(x3721,x3722)+E(f826(x3723,x3724,x3725,x3726,x3727,x3728,x3721,x3729),f826(x3723,x3724,x3725,x3726,x3727,x3728,x3722,x3729))
% 192.07/191.94 [373]~E(x3731,x3732)+E(f826(x3733,x3734,x3735,x3736,x3737,x3738,x3739,x3731),f826(x3733,x3734,x3735,x3736,x3737,x3738,x3739,x3732))
% 192.07/191.94 [374]~E(x3741,x3742)+E(f151(x3741,x3743),f151(x3742,x3743))
% 192.07/191.94 [375]~E(x3751,x3752)+E(f151(x3753,x3751),f151(x3753,x3752))
% 192.07/191.94 [376]~E(x3761,x3762)+E(f328(x3761,x3763,x3764),f328(x3762,x3763,x3764))
% 192.07/191.94 [377]~E(x3771,x3772)+E(f328(x3773,x3771,x3774),f328(x3773,x3772,x3774))
% 192.07/191.94 [378]~E(x3781,x3782)+E(f328(x3783,x3784,x3781),f328(x3783,x3784,x3782))
% 192.07/191.94 [379]~E(x3791,x3792)+E(f791(x3791),f791(x3792))
% 192.07/191.94 [380]~E(x3801,x3802)+E(f33(x3801,x3803),f33(x3802,x3803))
% 192.07/191.94 [381]~E(x3811,x3812)+E(f33(x3813,x3811),f33(x3813,x3812))
% 192.07/191.94 [382]~E(x3821,x3822)+E(f773(x3821,x3823,x3824,x3825,x3826,x3827,x3828),f773(x3822,x3823,x3824,x3825,x3826,x3827,x3828))
% 192.07/191.94 [383]~E(x3831,x3832)+E(f773(x3833,x3831,x3834,x3835,x3836,x3837,x3838),f773(x3833,x3832,x3834,x3835,x3836,x3837,x3838))
% 192.07/191.94 [384]~E(x3841,x3842)+E(f773(x3843,x3844,x3841,x3845,x3846,x3847,x3848),f773(x3843,x3844,x3842,x3845,x3846,x3847,x3848))
% 192.07/191.94 [385]~E(x3851,x3852)+E(f773(x3853,x3854,x3855,x3851,x3856,x3857,x3858),f773(x3853,x3854,x3855,x3852,x3856,x3857,x3858))
% 192.07/191.94 [386]~E(x3861,x3862)+E(f773(x3863,x3864,x3865,x3866,x3861,x3867,x3868),f773(x3863,x3864,x3865,x3866,x3862,x3867,x3868))
% 192.07/191.94 [387]~E(x3871,x3872)+E(f773(x3873,x3874,x3875,x3876,x3877,x3871,x3878),f773(x3873,x3874,x3875,x3876,x3877,x3872,x3878))
% 192.07/191.94 [388]~E(x3881,x3882)+E(f773(x3883,x3884,x3885,x3886,x3887,x3888,x3881),f773(x3883,x3884,x3885,x3886,x3887,x3888,x3882))
% 192.07/191.94 [389]~E(x3891,x3892)+E(f133(x3891,x3893),f133(x3892,x3893))
% 192.07/191.94 [390]~E(x3901,x3902)+E(f133(x3903,x3901),f133(x3903,x3902))
% 192.07/191.94 [391]~E(x3911,x3912)+E(f109(x3911),f109(x3912))
% 192.07/191.94 [392]~E(x3921,x3922)+E(f110(x3921,x3923),f110(x3922,x3923))
% 192.07/191.94 [393]~E(x3931,x3932)+E(f110(x3933,x3931),f110(x3933,x3932))
% 192.07/191.94 [394]~E(x3941,x3942)+E(f882(x3941,x3943,x3944),f882(x3942,x3943,x3944))
% 192.07/191.94 [395]~E(x3951,x3952)+E(f882(x3953,x3951,x3954),f882(x3953,x3952,x3954))
% 192.07/191.94 [396]~E(x3961,x3962)+E(f882(x3963,x3964,x3961),f882(x3963,x3964,x3962))
% 192.07/191.94 [397]~E(x3971,x3972)+E(f16(x3971,x3973),f16(x3972,x3973))
% 192.07/191.94 [398]~E(x3981,x3982)+E(f16(x3983,x3981),f16(x3983,x3982))
% 192.07/191.94 [399]~E(x3991,x3992)+E(f849(x3991,x3993,x3994),f849(x3992,x3993,x3994))
% 192.07/191.94 [400]~E(x4001,x4002)+E(f849(x4003,x4001,x4004),f849(x4003,x4002,x4004))
% 192.07/191.94 [401]~E(x4011,x4012)+E(f849(x4013,x4014,x4011),f849(x4013,x4014,x4012))
% 192.07/191.94 [402]~E(x4021,x4022)+E(f295(x4021,x4023,x4024),f295(x4022,x4023,x4024))
% 192.07/191.94 [403]~E(x4031,x4032)+E(f295(x4033,x4031,x4034),f295(x4033,x4032,x4034))
% 192.07/191.94 [404]~E(x4041,x4042)+E(f295(x4043,x4044,x4041),f295(x4043,x4044,x4042))
% 192.07/191.94 [405]~E(x4051,x4052)+E(f79(x4051,x4053),f79(x4052,x4053))
% 192.07/191.94 [406]~E(x4061,x4062)+E(f79(x4063,x4061),f79(x4063,x4062))
% 192.07/191.94 [407]~E(x4071,x4072)+E(f116(x4071,x4073,x4074),f116(x4072,x4073,x4074))
% 192.07/191.94 [408]~E(x4081,x4082)+E(f116(x4083,x4081,x4084),f116(x4083,x4082,x4084))
% 192.07/191.94 [409]~E(x4091,x4092)+E(f116(x4093,x4094,x4091),f116(x4093,x4094,x4092))
% 192.07/191.94 [410]~E(x4101,x4102)+E(f84(x4101,x4103),f84(x4102,x4103))
% 192.07/191.94 [411]~E(x4111,x4112)+E(f84(x4113,x4111),f84(x4113,x4112))
% 192.07/191.94 [412]~E(x4121,x4122)+E(f253(x4121,x4123),f253(x4122,x4123))
% 192.07/191.94 [413]~E(x4131,x4132)+E(f253(x4133,x4131),f253(x4133,x4132))
% 192.07/191.94 [414]~E(x4141,x4142)+E(f366(x4141,x4143,x4144,x4145),f366(x4142,x4143,x4144,x4145))
% 192.07/191.94 [415]~E(x4151,x4152)+E(f366(x4153,x4151,x4154,x4155),f366(x4153,x4152,x4154,x4155))
% 192.07/191.94 [416]~E(x4161,x4162)+E(f366(x4163,x4164,x4161,x4165),f366(x4163,x4164,x4162,x4165))
% 192.07/191.94 [417]~E(x4171,x4172)+E(f366(x4173,x4174,x4175,x4171),f366(x4173,x4174,x4175,x4172))
% 192.07/191.94 [418]~E(x4181,x4182)+E(f655(x4181,x4183,x4184,x4185,x4186),f655(x4182,x4183,x4184,x4185,x4186))
% 192.07/191.94 [419]~E(x4191,x4192)+E(f655(x4193,x4191,x4194,x4195,x4196),f655(x4193,x4192,x4194,x4195,x4196))
% 192.07/191.94 [420]~E(x4201,x4202)+E(f655(x4203,x4204,x4201,x4205,x4206),f655(x4203,x4204,x4202,x4205,x4206))
% 192.07/191.94 [421]~E(x4211,x4212)+E(f655(x4213,x4214,x4215,x4211,x4216),f655(x4213,x4214,x4215,x4212,x4216))
% 192.07/191.94 [422]~E(x4221,x4222)+E(f655(x4223,x4224,x4225,x4226,x4221),f655(x4223,x4224,x4225,x4226,x4222))
% 192.07/191.94 [423]~E(x4231,x4232)+E(f147(x4231,x4233),f147(x4232,x4233))
% 192.07/191.94 [424]~E(x4241,x4242)+E(f147(x4243,x4241),f147(x4243,x4242))
% 192.07/191.94 [425]~E(x4251,x4252)+E(f829(x4251,x4253,x4254,x4255,x4256,x4257,x4258,x4259),f829(x4252,x4253,x4254,x4255,x4256,x4257,x4258,x4259))
% 192.07/191.94 [426]~E(x4261,x4262)+E(f829(x4263,x4261,x4264,x4265,x4266,x4267,x4268,x4269),f829(x4263,x4262,x4264,x4265,x4266,x4267,x4268,x4269))
% 192.07/191.94 [427]~E(x4271,x4272)+E(f829(x4273,x4274,x4271,x4275,x4276,x4277,x4278,x4279),f829(x4273,x4274,x4272,x4275,x4276,x4277,x4278,x4279))
% 192.07/191.94 [428]~E(x4281,x4282)+E(f829(x4283,x4284,x4285,x4281,x4286,x4287,x4288,x4289),f829(x4283,x4284,x4285,x4282,x4286,x4287,x4288,x4289))
% 192.07/191.94 [429]~E(x4291,x4292)+E(f829(x4293,x4294,x4295,x4296,x4291,x4297,x4298,x4299),f829(x4293,x4294,x4295,x4296,x4292,x4297,x4298,x4299))
% 192.07/191.94 [430]~E(x4301,x4302)+E(f829(x4303,x4304,x4305,x4306,x4307,x4301,x4308,x4309),f829(x4303,x4304,x4305,x4306,x4307,x4302,x4308,x4309))
% 192.07/191.94 [431]~E(x4311,x4312)+E(f829(x4313,x4314,x4315,x4316,x4317,x4318,x4311,x4319),f829(x4313,x4314,x4315,x4316,x4317,x4318,x4312,x4319))
% 192.07/191.94 [432]~E(x4321,x4322)+E(f829(x4323,x4324,x4325,x4326,x4327,x4328,x4329,x4321),f829(x4323,x4324,x4325,x4326,x4327,x4328,x4329,x4322))
% 192.07/191.94 [433]~E(x4331,x4332)+E(f254(x4331,x4333),f254(x4332,x4333))
% 192.07/191.94 [434]~E(x4341,x4342)+E(f254(x4343,x4341),f254(x4343,x4342))
% 192.07/191.94 [435]~E(x4351,x4352)+E(f434(x4351,x4353,x4354),f434(x4352,x4353,x4354))
% 192.07/191.94 [436]~E(x4361,x4362)+E(f434(x4363,x4361,x4364),f434(x4363,x4362,x4364))
% 192.07/191.94 [437]~E(x4371,x4372)+E(f434(x4373,x4374,x4371),f434(x4373,x4374,x4372))
% 192.07/191.94 [438]~E(x4381,x4382)+E(f12(x4381,x4383),f12(x4382,x4383))
% 192.07/191.94 [439]~E(x4391,x4392)+E(f12(x4393,x4391),f12(x4393,x4392))
% 192.07/191.94 [440]~E(x4401,x4402)+E(f855(x4401,x4403,x4404),f855(x4402,x4403,x4404))
% 192.07/191.94 [441]~E(x4411,x4412)+E(f855(x4413,x4411,x4414),f855(x4413,x4412,x4414))
% 192.07/191.94 [442]~E(x4421,x4422)+E(f855(x4423,x4424,x4421),f855(x4423,x4424,x4422))
% 192.07/191.94 [443]~E(x4431,x4432)+E(f500(x4431,x4433,x4434,x4435,x4436,x4437,x4438),f500(x4432,x4433,x4434,x4435,x4436,x4437,x4438))
% 192.07/191.94 [444]~E(x4441,x4442)+E(f500(x4443,x4441,x4444,x4445,x4446,x4447,x4448),f500(x4443,x4442,x4444,x4445,x4446,x4447,x4448))
% 192.07/191.94 [445]~E(x4451,x4452)+E(f500(x4453,x4454,x4451,x4455,x4456,x4457,x4458),f500(x4453,x4454,x4452,x4455,x4456,x4457,x4458))
% 192.07/191.94 [446]~E(x4461,x4462)+E(f500(x4463,x4464,x4465,x4461,x4466,x4467,x4468),f500(x4463,x4464,x4465,x4462,x4466,x4467,x4468))
% 192.07/191.94 [447]~E(x4471,x4472)+E(f500(x4473,x4474,x4475,x4476,x4471,x4477,x4478),f500(x4473,x4474,x4475,x4476,x4472,x4477,x4478))
% 192.07/191.94 [448]~E(x4481,x4482)+E(f500(x4483,x4484,x4485,x4486,x4487,x4481,x4488),f500(x4483,x4484,x4485,x4486,x4487,x4482,x4488))
% 192.07/191.94 [449]~E(x4491,x4492)+E(f500(x4493,x4494,x4495,x4496,x4497,x4498,x4491),f500(x4493,x4494,x4495,x4496,x4497,x4498,x4492))
% 192.07/191.94 [450]~E(x4501,x4502)+E(f205(x4501,x4503),f205(x4502,x4503))
% 192.07/191.94 [451]~E(x4511,x4512)+E(f205(x4513,x4511),f205(x4513,x4512))
% 192.07/191.94 [452]~E(x4521,x4522)+E(f139(x4521,x4523,x4524,x4525,x4526),f139(x4522,x4523,x4524,x4525,x4526))
% 192.07/191.94 [453]~E(x4531,x4532)+E(f139(x4533,x4531,x4534,x4535,x4536),f139(x4533,x4532,x4534,x4535,x4536))
% 192.07/191.94 [454]~E(x4541,x4542)+E(f139(x4543,x4544,x4541,x4545,x4546),f139(x4543,x4544,x4542,x4545,x4546))
% 192.07/191.94 [455]~E(x4551,x4552)+E(f139(x4553,x4554,x4555,x4551,x4556),f139(x4553,x4554,x4555,x4552,x4556))
% 192.07/191.94 [456]~E(x4561,x4562)+E(f139(x4563,x4564,x4565,x4566,x4561),f139(x4563,x4564,x4565,x4566,x4562))
% 192.07/191.94 [457]~E(x4571,x4572)+E(f410(x4571,x4573,x4574,x4575,x4576),f410(x4572,x4573,x4574,x4575,x4576))
% 192.07/191.94 [458]~E(x4581,x4582)+E(f410(x4583,x4581,x4584,x4585,x4586),f410(x4583,x4582,x4584,x4585,x4586))
% 192.07/191.94 [459]~E(x4591,x4592)+E(f410(x4593,x4594,x4591,x4595,x4596),f410(x4593,x4594,x4592,x4595,x4596))
% 192.07/191.94 [460]~E(x4601,x4602)+E(f410(x4603,x4604,x4605,x4601,x4606),f410(x4603,x4604,x4605,x4602,x4606))
% 192.07/191.94 [461]~E(x4611,x4612)+E(f410(x4613,x4614,x4615,x4616,x4611),f410(x4613,x4614,x4615,x4616,x4612))
% 192.07/191.94 [462]~E(x4621,x4622)+E(f383(x4621,x4623,x4624,x4625,x4626),f383(x4622,x4623,x4624,x4625,x4626))
% 192.07/191.94 [463]~E(x4631,x4632)+E(f383(x4633,x4631,x4634,x4635,x4636),f383(x4633,x4632,x4634,x4635,x4636))
% 192.07/191.94 [464]~E(x4641,x4642)+E(f383(x4643,x4644,x4641,x4645,x4646),f383(x4643,x4644,x4642,x4645,x4646))
% 192.07/191.94 [465]~E(x4651,x4652)+E(f383(x4653,x4654,x4655,x4651,x4656),f383(x4653,x4654,x4655,x4652,x4656))
% 192.07/191.94 [466]~E(x4661,x4662)+E(f383(x4663,x4664,x4665,x4666,x4661),f383(x4663,x4664,x4665,x4666,x4662))
% 192.07/191.94 [467]~E(x4671,x4672)+E(f289(x4671,x4673,x4674,x4675),f289(x4672,x4673,x4674,x4675))
% 192.07/191.94 [468]~E(x4681,x4682)+E(f289(x4683,x4681,x4684,x4685),f289(x4683,x4682,x4684,x4685))
% 192.07/191.94 [469]~E(x4691,x4692)+E(f289(x4693,x4694,x4691,x4695),f289(x4693,x4694,x4692,x4695))
% 192.07/191.94 [470]~E(x4701,x4702)+E(f289(x4703,x4704,x4705,x4701),f289(x4703,x4704,x4705,x4702))
% 192.07/191.94 [471]~E(x4711,x4712)+E(f45(x4711,x4713),f45(x4712,x4713))
% 192.07/191.94 [472]~E(x4721,x4722)+E(f45(x4723,x4721),f45(x4723,x4722))
% 192.07/191.94 [473]~E(x4731,x4732)+E(f148(x4731,x4733),f148(x4732,x4733))
% 192.07/191.94 [474]~E(x4741,x4742)+E(f148(x4743,x4741),f148(x4743,x4742))
% 192.07/191.94 [475]~E(x4751,x4752)+E(f138(x4751,x4753,x4754),f138(x4752,x4753,x4754))
% 192.07/191.94 [476]~E(x4761,x4762)+E(f138(x4763,x4761,x4764),f138(x4763,x4762,x4764))
% 192.07/191.94 [477]~E(x4771,x4772)+E(f138(x4773,x4774,x4771),f138(x4773,x4774,x4772))
% 192.07/191.94 [478]~E(x4781,x4782)+E(f489(x4781,x4783,x4784,x4785,x4786),f489(x4782,x4783,x4784,x4785,x4786))
% 192.07/191.94 [479]~E(x4791,x4792)+E(f489(x4793,x4791,x4794,x4795,x4796),f489(x4793,x4792,x4794,x4795,x4796))
% 192.07/191.94 [480]~E(x4801,x4802)+E(f489(x4803,x4804,x4801,x4805,x4806),f489(x4803,x4804,x4802,x4805,x4806))
% 192.07/191.94 [481]~E(x4811,x4812)+E(f489(x4813,x4814,x4815,x4811,x4816),f489(x4813,x4814,x4815,x4812,x4816))
% 192.07/191.94 [482]~E(x4821,x4822)+E(f489(x4823,x4824,x4825,x4826,x4821),f489(x4823,x4824,x4825,x4826,x4822))
% 192.07/191.94 [483]~E(x4831,x4832)+E(f439(x4831,x4833,x4834),f439(x4832,x4833,x4834))
% 192.07/191.94 [484]~E(x4841,x4842)+E(f439(x4843,x4841,x4844),f439(x4843,x4842,x4844))
% 192.07/191.94 [485]~E(x4851,x4852)+E(f439(x4853,x4854,x4851),f439(x4853,x4854,x4852))
% 192.07/191.94 [486]~E(x4861,x4862)+E(f772(x4861,x4863,x4864,x4865,x4866,x4867,x4868),f772(x4862,x4863,x4864,x4865,x4866,x4867,x4868))
% 192.07/191.94 [487]~E(x4871,x4872)+E(f772(x4873,x4871,x4874,x4875,x4876,x4877,x4878),f772(x4873,x4872,x4874,x4875,x4876,x4877,x4878))
% 192.07/191.94 [488]~E(x4881,x4882)+E(f772(x4883,x4884,x4881,x4885,x4886,x4887,x4888),f772(x4883,x4884,x4882,x4885,x4886,x4887,x4888))
% 192.07/191.94 [489]~E(x4891,x4892)+E(f772(x4893,x4894,x4895,x4891,x4896,x4897,x4898),f772(x4893,x4894,x4895,x4892,x4896,x4897,x4898))
% 192.07/191.94 [490]~E(x4901,x4902)+E(f772(x4903,x4904,x4905,x4906,x4901,x4907,x4908),f772(x4903,x4904,x4905,x4906,x4902,x4907,x4908))
% 192.07/191.94 [491]~E(x4911,x4912)+E(f772(x4913,x4914,x4915,x4916,x4917,x4911,x4918),f772(x4913,x4914,x4915,x4916,x4917,x4912,x4918))
% 192.07/191.94 [492]~E(x4921,x4922)+E(f772(x4923,x4924,x4925,x4926,x4927,x4928,x4921),f772(x4923,x4924,x4925,x4926,x4927,x4928,x4922))
% 192.07/191.94 [493]~E(x4931,x4932)+E(f81(x4931),f81(x4932))
% 192.07/191.94 [494]~E(x4941,x4942)+E(f478(x4941,x4943,x4944),f478(x4942,x4943,x4944))
% 192.07/191.94 [495]~E(x4951,x4952)+E(f478(x4953,x4951,x4954),f478(x4953,x4952,x4954))
% 192.07/191.94 [496]~E(x4961,x4962)+E(f478(x4963,x4964,x4961),f478(x4963,x4964,x4962))
% 192.07/191.94 [497]~E(x4971,x4972)+E(f639(x4971,x4973,x4974),f639(x4972,x4973,x4974))
% 192.07/191.94 [498]~E(x4981,x4982)+E(f639(x4983,x4981,x4984),f639(x4983,x4982,x4984))
% 192.07/191.94 [499]~E(x4991,x4992)+E(f639(x4993,x4994,x4991),f639(x4993,x4994,x4992))
% 192.07/191.94 [500]~E(x5001,x5002)+E(f343(x5001,x5003),f343(x5002,x5003))
% 192.07/191.94 [501]~E(x5011,x5012)+E(f343(x5013,x5011),f343(x5013,x5012))
% 192.07/191.94 [502]~E(x5021,x5022)+E(f514(x5021),f514(x5022))
% 192.07/191.94 [503]~E(x5031,x5032)+E(f44(x5031,x5033),f44(x5032,x5033))
% 192.07/191.94 [504]~E(x5041,x5042)+E(f44(x5043,x5041),f44(x5043,x5042))
% 192.07/191.94 [505]~E(x5051,x5052)+E(f833(x5051,x5053,x5054,x5055,x5056,x5057,x5058),f833(x5052,x5053,x5054,x5055,x5056,x5057,x5058))
% 192.07/191.94 [506]~E(x5061,x5062)+E(f833(x5063,x5061,x5064,x5065,x5066,x5067,x5068),f833(x5063,x5062,x5064,x5065,x5066,x5067,x5068))
% 192.07/191.94 [507]~E(x5071,x5072)+E(f833(x5073,x5074,x5071,x5075,x5076,x5077,x5078),f833(x5073,x5074,x5072,x5075,x5076,x5077,x5078))
% 192.07/191.94 [508]~E(x5081,x5082)+E(f833(x5083,x5084,x5085,x5081,x5086,x5087,x5088),f833(x5083,x5084,x5085,x5082,x5086,x5087,x5088))
% 192.07/191.94 [509]~E(x5091,x5092)+E(f833(x5093,x5094,x5095,x5096,x5091,x5097,x5098),f833(x5093,x5094,x5095,x5096,x5092,x5097,x5098))
% 192.07/191.94 [510]~E(x5101,x5102)+E(f833(x5103,x5104,x5105,x5106,x5107,x5101,x5108),f833(x5103,x5104,x5105,x5106,x5107,x5102,x5108))
% 192.07/191.94 [511]~E(x5111,x5112)+E(f833(x5113,x5114,x5115,x5116,x5117,x5118,x5111),f833(x5113,x5114,x5115,x5116,x5117,x5118,x5112))
% 192.07/191.94 [512]~E(x5121,x5122)+E(f15(x5121,x5123,x5124),f15(x5122,x5123,x5124))
% 192.07/191.94 [513]~E(x5131,x5132)+E(f15(x5133,x5131,x5134),f15(x5133,x5132,x5134))
% 192.07/191.94 [514]~E(x5141,x5142)+E(f15(x5143,x5144,x5141),f15(x5143,x5144,x5142))
% 192.07/191.94 [515]~E(x5151,x5152)+E(f69(x5151,x5153,x5154,x5155,x5156),f69(x5152,x5153,x5154,x5155,x5156))
% 192.07/191.94 [516]~E(x5161,x5162)+E(f69(x5163,x5161,x5164,x5165,x5166),f69(x5163,x5162,x5164,x5165,x5166))
% 192.07/191.94 [517]~E(x5171,x5172)+E(f69(x5173,x5174,x5171,x5175,x5176),f69(x5173,x5174,x5172,x5175,x5176))
% 192.07/191.94 [518]~E(x5181,x5182)+E(f69(x5183,x5184,x5185,x5181,x5186),f69(x5183,x5184,x5185,x5182,x5186))
% 192.07/191.94 [519]~E(x5191,x5192)+E(f69(x5193,x5194,x5195,x5196,x5191),f69(x5193,x5194,x5195,x5196,x5192))
% 192.07/191.94 [520]~E(x5201,x5202)+E(f155(x5201),f155(x5202))
% 192.07/191.94 [521]~E(x5211,x5212)+E(f304(x5211),f304(x5212))
% 192.07/191.94 [522]~E(x5221,x5222)+E(f395(x5221,x5223,x5224),f395(x5222,x5223,x5224))
% 192.07/191.94 [523]~E(x5231,x5232)+E(f395(x5233,x5231,x5234),f395(x5233,x5232,x5234))
% 192.07/191.94 [524]~E(x5241,x5242)+E(f395(x5243,x5244,x5241),f395(x5243,x5244,x5242))
% 192.07/191.94 [525]~E(x5251,x5252)+E(f506(x5251,x5253,x5254,x5255),f506(x5252,x5253,x5254,x5255))
% 192.07/191.94 [526]~E(x5261,x5262)+E(f506(x5263,x5261,x5264,x5265),f506(x5263,x5262,x5264,x5265))
% 192.07/191.94 [527]~E(x5271,x5272)+E(f506(x5273,x5274,x5271,x5275),f506(x5273,x5274,x5272,x5275))
% 192.07/191.94 [528]~E(x5281,x5282)+E(f506(x5283,x5284,x5285,x5281),f506(x5283,x5284,x5285,x5282))
% 192.07/191.94 [529]~E(x5291,x5292)+E(f218(x5291,x5293,x5294),f218(x5292,x5293,x5294))
% 192.07/191.94 [530]~E(x5301,x5302)+E(f218(x5303,x5301,x5304),f218(x5303,x5302,x5304))
% 192.07/191.94 [531]~E(x5311,x5312)+E(f218(x5313,x5314,x5311),f218(x5313,x5314,x5312))
% 192.07/191.94 [532]~E(x5321,x5322)+E(f684(x5321,x5323,x5324,x5325,x5326),f684(x5322,x5323,x5324,x5325,x5326))
% 192.07/191.94 [533]~E(x5331,x5332)+E(f684(x5333,x5331,x5334,x5335,x5336),f684(x5333,x5332,x5334,x5335,x5336))
% 192.07/191.94 [534]~E(x5341,x5342)+E(f684(x5343,x5344,x5341,x5345,x5346),f684(x5343,x5344,x5342,x5345,x5346))
% 192.07/191.94 [535]~E(x5351,x5352)+E(f684(x5353,x5354,x5355,x5351,x5356),f684(x5353,x5354,x5355,x5352,x5356))
% 192.07/191.94 [536]~E(x5361,x5362)+E(f684(x5363,x5364,x5365,x5366,x5361),f684(x5363,x5364,x5365,x5366,x5362))
% 192.07/191.94 [537]~E(x5371,x5372)+E(f499(x5371,x5373,x5374,x5375,x5376,x5377,x5378),f499(x5372,x5373,x5374,x5375,x5376,x5377,x5378))
% 192.07/191.94 [538]~E(x5381,x5382)+E(f499(x5383,x5381,x5384,x5385,x5386,x5387,x5388),f499(x5383,x5382,x5384,x5385,x5386,x5387,x5388))
% 192.07/191.94 [539]~E(x5391,x5392)+E(f499(x5393,x5394,x5391,x5395,x5396,x5397,x5398),f499(x5393,x5394,x5392,x5395,x5396,x5397,x5398))
% 192.07/191.94 [540]~E(x5401,x5402)+E(f499(x5403,x5404,x5405,x5401,x5406,x5407,x5408),f499(x5403,x5404,x5405,x5402,x5406,x5407,x5408))
% 192.07/191.94 [541]~E(x5411,x5412)+E(f499(x5413,x5414,x5415,x5416,x5411,x5417,x5418),f499(x5413,x5414,x5415,x5416,x5412,x5417,x5418))
% 192.07/191.94 [542]~E(x5421,x5422)+E(f499(x5423,x5424,x5425,x5426,x5427,x5421,x5428),f499(x5423,x5424,x5425,x5426,x5427,x5422,x5428))
% 192.07/191.94 [543]~E(x5431,x5432)+E(f499(x5433,x5434,x5435,x5436,x5437,x5438,x5431),f499(x5433,x5434,x5435,x5436,x5437,x5438,x5432))
% 192.07/191.94 [544]~E(x5441,x5442)+E(f113(x5441),f113(x5442))
% 192.07/191.94 [545]~E(x5451,x5452)+E(f42(x5451,x5453),f42(x5452,x5453))
% 192.07/191.94 [546]~E(x5461,x5462)+E(f42(x5463,x5461),f42(x5463,x5462))
% 192.07/191.94 [547]~E(x5471,x5472)+E(f63(x5471,x5473,x5474),f63(x5472,x5473,x5474))
% 192.07/191.94 [548]~E(x5481,x5482)+E(f63(x5483,x5481,x5484),f63(x5483,x5482,x5484))
% 192.07/191.94 [549]~E(x5491,x5492)+E(f63(x5493,x5494,x5491),f63(x5493,x5494,x5492))
% 192.07/191.94 [550]~E(x5501,x5502)+E(f272(x5501),f272(x5502))
% 192.07/191.94 [551]~E(x5511,x5512)+E(f680(x5511,x5513,x5514),f680(x5512,x5513,x5514))
% 192.07/191.94 [552]~E(x5521,x5522)+E(f680(x5523,x5521,x5524),f680(x5523,x5522,x5524))
% 192.07/191.94 [553]~E(x5531,x5532)+E(f680(x5533,x5534,x5531),f680(x5533,x5534,x5532))
% 192.07/191.94 [554]~E(x5541,x5542)+E(f176(x5541),f176(x5542))
% 192.07/191.94 [555]~E(x5551,x5552)+E(f130(x5551,x5553,x5554),f130(x5552,x5553,x5554))
% 192.07/191.94 [556]~E(x5561,x5562)+E(f130(x5563,x5561,x5564),f130(x5563,x5562,x5564))
% 192.07/191.94 [557]~E(x5571,x5572)+E(f130(x5573,x5574,x5571),f130(x5573,x5574,x5572))
% 192.07/191.94 [558]~E(x5581,x5582)+E(f76(x5581,x5583),f76(x5582,x5583))
% 192.07/191.94 [559]~E(x5591,x5592)+E(f76(x5593,x5591),f76(x5593,x5592))
% 192.07/191.94 [560]~E(x5601,x5602)+E(f273(x5601),f273(x5602))
% 192.07/191.94 [561]~E(x5611,x5612)+E(f217(x5611,x5613),f217(x5612,x5613))
% 192.07/191.94 [562]~E(x5621,x5622)+E(f217(x5623,x5621),f217(x5623,x5622))
% 192.07/191.94 [563]~E(x5631,x5632)+E(f530(x5631,x5633,x5634,x5635),f530(x5632,x5633,x5634,x5635))
% 192.07/191.94 [564]~E(x5641,x5642)+E(f530(x5643,x5641,x5644,x5645),f530(x5643,x5642,x5644,x5645))
% 192.07/191.94 [565]~E(x5651,x5652)+E(f530(x5653,x5654,x5651,x5655),f530(x5653,x5654,x5652,x5655))
% 192.07/191.94 [566]~E(x5661,x5662)+E(f530(x5663,x5664,x5665,x5661),f530(x5663,x5664,x5665,x5662))
% 192.07/191.94 [567]~E(x5671,x5672)+E(f241(x5671,x5673),f241(x5672,x5673))
% 192.07/191.94 [568]~E(x5681,x5682)+E(f241(x5683,x5681),f241(x5683,x5682))
% 192.07/191.94 [569]~E(x5691,x5692)+E(f146(x5691,x5693,x5694,x5695),f146(x5692,x5693,x5694,x5695))
% 192.07/191.94 [570]~E(x5701,x5702)+E(f146(x5703,x5701,x5704,x5705),f146(x5703,x5702,x5704,x5705))
% 192.07/191.94 [571]~E(x5711,x5712)+E(f146(x5713,x5714,x5711,x5715),f146(x5713,x5714,x5712,x5715))
% 192.07/191.94 [572]~E(x5721,x5722)+E(f146(x5723,x5724,x5725,x5721),f146(x5723,x5724,x5725,x5722))
% 192.07/191.94 [573]~E(x5731,x5732)+E(f760(x5731,x5733,x5734,x5735),f760(x5732,x5733,x5734,x5735))
% 192.07/191.94 [574]~E(x5741,x5742)+E(f760(x5743,x5741,x5744,x5745),f760(x5743,x5742,x5744,x5745))
% 192.07/191.94 [575]~E(x5751,x5752)+E(f760(x5753,x5754,x5751,x5755),f760(x5753,x5754,x5752,x5755))
% 192.07/191.94 [576]~E(x5761,x5762)+E(f760(x5763,x5764,x5765,x5761),f760(x5763,x5764,x5765,x5762))
% 192.07/191.94 [577]~E(x5771,x5772)+E(f21(x5771,x5773,x5774,x5775),f21(x5772,x5773,x5774,x5775))
% 192.07/191.94 [578]~E(x5781,x5782)+E(f21(x5783,x5781,x5784,x5785),f21(x5783,x5782,x5784,x5785))
% 192.07/191.94 [579]~E(x5791,x5792)+E(f21(x5793,x5794,x5791,x5795),f21(x5793,x5794,x5792,x5795))
% 192.07/191.94 [580]~E(x5801,x5802)+E(f21(x5803,x5804,x5805,x5801),f21(x5803,x5804,x5805,x5802))
% 192.07/191.94 [581]~E(x5811,x5812)+E(f275(x5811,x5813,x5814),f275(x5812,x5813,x5814))
% 192.07/191.94 [582]~E(x5821,x5822)+E(f275(x5823,x5821,x5824),f275(x5823,x5822,x5824))
% 192.07/191.94 [583]~E(x5831,x5832)+E(f275(x5833,x5834,x5831),f275(x5833,x5834,x5832))
% 192.07/191.94 [584]~E(x5841,x5842)+E(f852(x5841,x5843,x5844),f852(x5842,x5843,x5844))
% 192.07/191.94 [585]~E(x5851,x5852)+E(f852(x5853,x5851,x5854),f852(x5853,x5852,x5854))
% 192.07/191.94 [586]~E(x5861,x5862)+E(f852(x5863,x5864,x5861),f852(x5863,x5864,x5862))
% 192.07/191.94 [587]~E(x5871,x5872)+E(f43(x5871,x5873),f43(x5872,x5873))
% 192.07/191.94 [588]~E(x5881,x5882)+E(f43(x5883,x5881),f43(x5883,x5882))
% 192.07/191.94 [589]~E(x5891,x5892)+E(f46(x5891,x5893),f46(x5892,x5893))
% 192.07/191.94 [590]~E(x5901,x5902)+E(f46(x5903,x5901),f46(x5903,x5902))
% 192.07/191.94 [591]~E(x5911,x5912)+E(f61(x5911,x5913,x5914,x5915,x5916),f61(x5912,x5913,x5914,x5915,x5916))
% 192.07/191.94 [592]~E(x5921,x5922)+E(f61(x5923,x5921,x5924,x5925,x5926),f61(x5923,x5922,x5924,x5925,x5926))
% 192.07/191.94 [593]~E(x5931,x5932)+E(f61(x5933,x5934,x5931,x5935,x5936),f61(x5933,x5934,x5932,x5935,x5936))
% 192.07/191.94 [594]~E(x5941,x5942)+E(f61(x5943,x5944,x5945,x5941,x5946),f61(x5943,x5944,x5945,x5942,x5946))
% 192.07/191.94 [595]~E(x5951,x5952)+E(f61(x5953,x5954,x5955,x5956,x5951),f61(x5953,x5954,x5955,x5956,x5952))
% 192.07/191.94 [596]~E(x5961,x5962)+E(f526(x5961,x5963,x5964,x5965,x5966,x5967,x5968),f526(x5962,x5963,x5964,x5965,x5966,x5967,x5968))
% 192.07/191.94 [597]~E(x5971,x5972)+E(f526(x5973,x5971,x5974,x5975,x5976,x5977,x5978),f526(x5973,x5972,x5974,x5975,x5976,x5977,x5978))
% 192.07/191.94 [598]~E(x5981,x5982)+E(f526(x5983,x5984,x5981,x5985,x5986,x5987,x5988),f526(x5983,x5984,x5982,x5985,x5986,x5987,x5988))
% 192.07/191.94 [599]~E(x5991,x5992)+E(f526(x5993,x5994,x5995,x5991,x5996,x5997,x5998),f526(x5993,x5994,x5995,x5992,x5996,x5997,x5998))
% 192.07/191.94 [600]~E(x6001,x6002)+E(f526(x6003,x6004,x6005,x6006,x6001,x6007,x6008),f526(x6003,x6004,x6005,x6006,x6002,x6007,x6008))
% 192.07/191.94 [601]~E(x6011,x6012)+E(f526(x6013,x6014,x6015,x6016,x6017,x6011,x6018),f526(x6013,x6014,x6015,x6016,x6017,x6012,x6018))
% 192.07/191.94 [602]~E(x6021,x6022)+E(f526(x6023,x6024,x6025,x6026,x6027,x6028,x6021),f526(x6023,x6024,x6025,x6026,x6027,x6028,x6022))
% 192.07/191.94 [603]~E(x6031,x6032)+E(f357(x6031,x6033,x6034,x6035),f357(x6032,x6033,x6034,x6035))
% 192.07/191.94 [604]~E(x6041,x6042)+E(f357(x6043,x6041,x6044,x6045),f357(x6043,x6042,x6044,x6045))
% 192.07/191.94 [605]~E(x6051,x6052)+E(f357(x6053,x6054,x6051,x6055),f357(x6053,x6054,x6052,x6055))
% 192.07/191.94 [606]~E(x6061,x6062)+E(f357(x6063,x6064,x6065,x6061),f357(x6063,x6064,x6065,x6062))
% 192.07/191.94 [607]~E(x6071,x6072)+E(f115(x6071,x6073),f115(x6072,x6073))
% 192.07/191.94 [608]~E(x6081,x6082)+E(f115(x6083,x6081),f115(x6083,x6082))
% 192.07/191.94 [609]~E(x6091,x6092)+E(f274(x6091,x6093),f274(x6092,x6093))
% 192.07/191.94 [610]~E(x6101,x6102)+E(f274(x6103,x6101),f274(x6103,x6102))
% 192.07/191.94 [611]~E(x6111,x6112)+E(f53(x6111),f53(x6112))
% 192.07/191.94 [612]~E(x6121,x6122)+E(f419(x6121,x6123,x6124,x6125,x6126),f419(x6122,x6123,x6124,x6125,x6126))
% 192.07/191.94 [613]~E(x6131,x6132)+E(f419(x6133,x6131,x6134,x6135,x6136),f419(x6133,x6132,x6134,x6135,x6136))
% 192.07/191.94 [614]~E(x6141,x6142)+E(f419(x6143,x6144,x6141,x6145,x6146),f419(x6143,x6144,x6142,x6145,x6146))
% 192.07/191.94 [615]~E(x6151,x6152)+E(f419(x6153,x6154,x6155,x6151,x6156),f419(x6153,x6154,x6155,x6152,x6156))
% 192.07/191.94 [616]~E(x6161,x6162)+E(f419(x6163,x6164,x6165,x6166,x6161),f419(x6163,x6164,x6165,x6166,x6162))
% 192.07/191.94 [617]~E(x6171,x6172)+E(f386(x6171,x6173,x6174,x6175,x6176),f386(x6172,x6173,x6174,x6175,x6176))
% 192.07/191.94 [618]~E(x6181,x6182)+E(f386(x6183,x6181,x6184,x6185,x6186),f386(x6183,x6182,x6184,x6185,x6186))
% 192.07/191.94 [619]~E(x6191,x6192)+E(f386(x6193,x6194,x6191,x6195,x6196),f386(x6193,x6194,x6192,x6195,x6196))
% 192.07/191.94 [620]~E(x6201,x6202)+E(f386(x6203,x6204,x6205,x6201,x6206),f386(x6203,x6204,x6205,x6202,x6206))
% 192.07/191.94 [621]~E(x6211,x6212)+E(f386(x6213,x6214,x6215,x6216,x6211),f386(x6213,x6214,x6215,x6216,x6212))
% 192.07/191.94 [622]~E(x6221,x6222)+E(f628(x6221,x6223),f628(x6222,x6223))
% 192.07/191.94 [623]~E(x6231,x6232)+E(f628(x6233,x6231),f628(x6233,x6232))
% 192.07/191.94 [624]~E(x6241,x6242)+E(f490(x6241,x6243,x6244,x6245,x6246),f490(x6242,x6243,x6244,x6245,x6246))
% 192.07/191.94 [625]~E(x6251,x6252)+E(f490(x6253,x6251,x6254,x6255,x6256),f490(x6253,x6252,x6254,x6255,x6256))
% 192.07/191.94 [626]~E(x6261,x6262)+E(f490(x6263,x6264,x6261,x6265,x6266),f490(x6263,x6264,x6262,x6265,x6266))
% 192.07/191.94 [627]~E(x6271,x6272)+E(f490(x6273,x6274,x6275,x6271,x6276),f490(x6273,x6274,x6275,x6272,x6276))
% 192.07/191.94 [628]~E(x6281,x6282)+E(f490(x6283,x6284,x6285,x6286,x6281),f490(x6283,x6284,x6285,x6286,x6282))
% 192.07/191.94 [629]~E(x6291,x6292)+E(f58(x6291,x6293),f58(x6292,x6293))
% 192.07/191.94 [630]~E(x6301,x6302)+E(f58(x6303,x6301),f58(x6303,x6302))
% 192.07/191.94 [631]~E(x6311,x6312)+E(f350(x6311,x6313),f350(x6312,x6313))
% 192.07/191.94 [632]~E(x6321,x6322)+E(f350(x6323,x6321),f350(x6323,x6322))
% 192.07/191.94 [633]~E(x6331,x6332)+E(f310(x6331,x6333,x6334,x6335),f310(x6332,x6333,x6334,x6335))
% 192.07/191.94 [634]~E(x6341,x6342)+E(f310(x6343,x6341,x6344,x6345),f310(x6343,x6342,x6344,x6345))
% 192.07/191.94 [635]~E(x6351,x6352)+E(f310(x6353,x6354,x6351,x6355),f310(x6353,x6354,x6352,x6355))
% 192.07/191.94 [636]~E(x6361,x6362)+E(f310(x6363,x6364,x6365,x6361),f310(x6363,x6364,x6365,x6362))
% 192.07/191.94 [637]~E(x6371,x6372)+E(f331(x6371,x6373,x6374,x6375),f331(x6372,x6373,x6374,x6375))
% 192.07/191.94 [638]~E(x6381,x6382)+E(f331(x6383,x6381,x6384,x6385),f331(x6383,x6382,x6384,x6385))
% 192.07/191.94 [639]~E(x6391,x6392)+E(f331(x6393,x6394,x6391,x6395),f331(x6393,x6394,x6392,x6395))
% 192.07/191.94 [640]~E(x6401,x6402)+E(f331(x6403,x6404,x6405,x6401),f331(x6403,x6404,x6405,x6402))
% 192.07/191.94 [641]~E(x6411,x6412)+E(f576(x6411,x6413,x6414,x6415,x6416),f576(x6412,x6413,x6414,x6415,x6416))
% 192.07/191.94 [642]~E(x6421,x6422)+E(f576(x6423,x6421,x6424,x6425,x6426),f576(x6423,x6422,x6424,x6425,x6426))
% 192.07/191.94 [643]~E(x6431,x6432)+E(f576(x6433,x6434,x6431,x6435,x6436),f576(x6433,x6434,x6432,x6435,x6436))
% 192.07/191.94 [644]~E(x6441,x6442)+E(f576(x6443,x6444,x6445,x6441,x6446),f576(x6443,x6444,x6445,x6442,x6446))
% 192.07/191.94 [645]~E(x6451,x6452)+E(f576(x6453,x6454,x6455,x6456,x6451),f576(x6453,x6454,x6455,x6456,x6452))
% 192.07/191.94 [646]~E(x6461,x6462)+E(f716(x6461,x6463,x6464,x6465,x6466),f716(x6462,x6463,x6464,x6465,x6466))
% 192.07/191.94 [647]~E(x6471,x6472)+E(f716(x6473,x6471,x6474,x6475,x6476),f716(x6473,x6472,x6474,x6475,x6476))
% 192.07/191.94 [648]~E(x6481,x6482)+E(f716(x6483,x6484,x6481,x6485,x6486),f716(x6483,x6484,x6482,x6485,x6486))
% 192.07/191.94 [649]~E(x6491,x6492)+E(f716(x6493,x6494,x6495,x6491,x6496),f716(x6493,x6494,x6495,x6492,x6496))
% 192.07/191.94 [650]~E(x6501,x6502)+E(f716(x6503,x6504,x6505,x6506,x6501),f716(x6503,x6504,x6505,x6506,x6502))
% 192.07/191.94 [651]~E(x6511,x6512)+E(f276(x6511,x6513),f276(x6512,x6513))
% 192.07/191.94 [652]~E(x6521,x6522)+E(f276(x6523,x6521),f276(x6523,x6522))
% 192.07/191.94 [653]~E(x6531,x6532)+E(f402(x6531,x6533,x6534),f402(x6532,x6533,x6534))
% 192.07/191.94 [654]~E(x6541,x6542)+E(f402(x6543,x6541,x6544),f402(x6543,x6542,x6544))
% 192.07/191.94 [655]~E(x6551,x6552)+E(f402(x6553,x6554,x6551),f402(x6553,x6554,x6552))
% 192.07/191.94 [656]~E(x6561,x6562)+E(f508(x6561,x6563,x6564,x6565,x6566),f508(x6562,x6563,x6564,x6565,x6566))
% 192.07/191.94 [657]~E(x6571,x6572)+E(f508(x6573,x6571,x6574,x6575,x6576),f508(x6573,x6572,x6574,x6575,x6576))
% 192.07/191.94 [658]~E(x6581,x6582)+E(f508(x6583,x6584,x6581,x6585,x6586),f508(x6583,x6584,x6582,x6585,x6586))
% 192.07/191.94 [659]~E(x6591,x6592)+E(f508(x6593,x6594,x6595,x6591,x6596),f508(x6593,x6594,x6595,x6592,x6596))
% 192.07/191.94 [660]~E(x6601,x6602)+E(f508(x6603,x6604,x6605,x6606,x6601),f508(x6603,x6604,x6605,x6606,x6602))
% 192.07/191.94 [661]~E(x6611,x6612)+E(f640(x6611,x6613,x6614,x6615,x6616),f640(x6612,x6613,x6614,x6615,x6616))
% 192.07/191.94 [662]~E(x6621,x6622)+E(f640(x6623,x6621,x6624,x6625,x6626),f640(x6623,x6622,x6624,x6625,x6626))
% 192.07/191.94 [663]~E(x6631,x6632)+E(f640(x6633,x6634,x6631,x6635,x6636),f640(x6633,x6634,x6632,x6635,x6636))
% 192.07/191.94 [664]~E(x6641,x6642)+E(f640(x6643,x6644,x6645,x6641,x6646),f640(x6643,x6644,x6645,x6642,x6646))
% 192.07/191.94 [665]~E(x6651,x6652)+E(f640(x6653,x6654,x6655,x6656,x6651),f640(x6653,x6654,x6655,x6656,x6652))
% 192.07/191.94 [666]~E(x6661,x6662)+E(f396(x6661,x6663,x6664),f396(x6662,x6663,x6664))
% 192.07/191.94 [667]~E(x6671,x6672)+E(f396(x6673,x6671,x6674),f396(x6673,x6672,x6674))
% 192.07/191.94 [668]~E(x6681,x6682)+E(f396(x6683,x6684,x6681),f396(x6683,x6684,x6682))
% 192.07/191.94 [669]~E(x6691,x6692)+E(f377(x6691,x6693,x6694),f377(x6692,x6693,x6694))
% 192.07/191.94 [670]~E(x6701,x6702)+E(f377(x6703,x6701,x6704),f377(x6703,x6702,x6704))
% 192.07/191.94 [671]~E(x6711,x6712)+E(f377(x6713,x6714,x6711),f377(x6713,x6714,x6712))
% 192.07/191.94 [672]~E(x6721,x6722)+E(f360(x6721,x6723,x6724,x6725),f360(x6722,x6723,x6724,x6725))
% 192.07/191.94 [673]~E(x6731,x6732)+E(f360(x6733,x6731,x6734,x6735),f360(x6733,x6732,x6734,x6735))
% 192.07/191.94 [674]~E(x6741,x6742)+E(f360(x6743,x6744,x6741,x6745),f360(x6743,x6744,x6742,x6745))
% 192.07/191.94 [675]~E(x6751,x6752)+E(f360(x6753,x6754,x6755,x6751),f360(x6753,x6754,x6755,x6752))
% 192.07/191.94 [676]~E(x6761,x6762)+E(f875(x6761,x6763,x6764),f875(x6762,x6763,x6764))
% 192.07/191.94 [677]~E(x6771,x6772)+E(f875(x6773,x6771,x6774),f875(x6773,x6772,x6774))
% 192.07/191.94 [678]~E(x6781,x6782)+E(f875(x6783,x6784,x6781),f875(x6783,x6784,x6782))
% 192.07/191.94 [679]~E(x6791,x6792)+E(f80(x6791,x6793),f80(x6792,x6793))
% 192.07/191.94 [680]~E(x6801,x6802)+E(f80(x6803,x6801),f80(x6803,x6802))
% 192.07/191.94 [681]~E(x6811,x6812)+E(f175(x6811,x6813,x6814,x6815),f175(x6812,x6813,x6814,x6815))
% 192.07/191.94 [682]~E(x6821,x6822)+E(f175(x6823,x6821,x6824,x6825),f175(x6823,x6822,x6824,x6825))
% 192.07/191.94 [683]~E(x6831,x6832)+E(f175(x6833,x6834,x6831,x6835),f175(x6833,x6834,x6832,x6835))
% 192.07/191.94 [684]~E(x6841,x6842)+E(f175(x6843,x6844,x6845,x6841),f175(x6843,x6844,x6845,x6842))
% 192.07/191.94 [685]~E(x6851,x6852)+E(f663(x6851,x6853),f663(x6852,x6853))
% 192.07/191.94 [686]~E(x6861,x6862)+E(f663(x6863,x6861),f663(x6863,x6862))
% 192.07/191.94 [687]~E(x6871,x6872)+E(f475(x6871,x6873,x6874),f475(x6872,x6873,x6874))
% 192.07/191.94 [688]~E(x6881,x6882)+E(f475(x6883,x6881,x6884),f475(x6883,x6882,x6884))
% 192.07/191.94 [689]~E(x6891,x6892)+E(f475(x6893,x6894,x6891),f475(x6893,x6894,x6892))
% 192.07/191.94 [690]~E(x6901,x6902)+E(f348(x6901,x6903),f348(x6902,x6903))
% 192.07/191.94 [691]~E(x6911,x6912)+E(f348(x6913,x6911),f348(x6913,x6912))
% 192.07/191.94 [692]~E(x6921,x6922)+E(f522(x6921,x6923,x6924,x6925,x6926,x6927,x6928),f522(x6922,x6923,x6924,x6925,x6926,x6927,x6928))
% 192.07/191.94 [693]~E(x6931,x6932)+E(f522(x6933,x6931,x6934,x6935,x6936,x6937,x6938),f522(x6933,x6932,x6934,x6935,x6936,x6937,x6938))
% 192.07/191.94 [694]~E(x6941,x6942)+E(f522(x6943,x6944,x6941,x6945,x6946,x6947,x6948),f522(x6943,x6944,x6942,x6945,x6946,x6947,x6948))
% 192.07/191.94 [695]~E(x6951,x6952)+E(f522(x6953,x6954,x6955,x6951,x6956,x6957,x6958),f522(x6953,x6954,x6955,x6952,x6956,x6957,x6958))
% 192.07/191.94 [696]~E(x6961,x6962)+E(f522(x6963,x6964,x6965,x6966,x6961,x6967,x6968),f522(x6963,x6964,x6965,x6966,x6962,x6967,x6968))
% 192.07/191.94 [697]~E(x6971,x6972)+E(f522(x6973,x6974,x6975,x6976,x6977,x6971,x6978),f522(x6973,x6974,x6975,x6976,x6977,x6972,x6978))
% 192.07/191.94 [698]~E(x6981,x6982)+E(f522(x6983,x6984,x6985,x6986,x6987,x6988,x6981),f522(x6983,x6984,x6985,x6986,x6987,x6988,x6982))
% 192.07/191.94 [699]~E(x6991,x6992)+E(f60(x6991,x6993,x6994),f60(x6992,x6993,x6994))
% 192.07/191.94 [700]~E(x7001,x7002)+E(f60(x7003,x7001,x7004),f60(x7003,x7002,x7004))
% 192.07/191.94 [701]~E(x7011,x7012)+E(f60(x7013,x7014,x7011),f60(x7013,x7014,x7012))
% 192.07/191.94 [702]~E(x7021,x7022)+E(f303(x7021,x7023,x7024,x7025),f303(x7022,x7023,x7024,x7025))
% 192.07/191.94 [703]~E(x7031,x7032)+E(f303(x7033,x7031,x7034,x7035),f303(x7033,x7032,x7034,x7035))
% 192.07/191.94 [704]~E(x7041,x7042)+E(f303(x7043,x7044,x7041,x7045),f303(x7043,x7044,x7042,x7045))
% 192.07/191.94 [705]~E(x7051,x7052)+E(f303(x7053,x7054,x7055,x7051),f303(x7053,x7054,x7055,x7052))
% 192.07/191.94 [706]~E(x7061,x7062)+E(f361(x7061,x7063,x7064,x7065),f361(x7062,x7063,x7064,x7065))
% 192.07/191.94 [707]~E(x7071,x7072)+E(f361(x7073,x7071,x7074,x7075),f361(x7073,x7072,x7074,x7075))
% 192.07/191.94 [708]~E(x7081,x7082)+E(f361(x7083,x7084,x7081,x7085),f361(x7083,x7084,x7082,x7085))
% 192.07/191.94 [709]~E(x7091,x7092)+E(f361(x7093,x7094,x7095,x7091),f361(x7093,x7094,x7095,x7092))
% 192.07/191.94 [710]~E(x7101,x7102)+E(f382(x7101,x7103,x7104),f382(x7102,x7103,x7104))
% 192.07/191.94 [711]~E(x7111,x7112)+E(f382(x7113,x7111,x7114),f382(x7113,x7112,x7114))
% 192.07/191.94 [712]~E(x7121,x7122)+E(f382(x7123,x7124,x7121),f382(x7123,x7124,x7122))
% 192.07/191.94 [713]~E(x7131,x7132)+E(f521(x7131,x7133,x7134,x7135,x7136),f521(x7132,x7133,x7134,x7135,x7136))
% 192.07/191.94 [714]~E(x7141,x7142)+E(f521(x7143,x7141,x7144,x7145,x7146),f521(x7143,x7142,x7144,x7145,x7146))
% 192.07/191.94 [715]~E(x7151,x7152)+E(f521(x7153,x7154,x7151,x7155,x7156),f521(x7153,x7154,x7152,x7155,x7156))
% 192.07/191.94 [716]~E(x7161,x7162)+E(f521(x7163,x7164,x7165,x7161,x7166),f521(x7163,x7164,x7165,x7162,x7166))
% 192.07/191.94 [717]~E(x7171,x7172)+E(f521(x7173,x7174,x7175,x7176,x7171),f521(x7173,x7174,x7175,x7176,x7172))
% 192.07/191.94 [718]~E(x7181,x7182)+E(f844(x7181,x7183,x7184),f844(x7182,x7183,x7184))
% 192.07/191.94 [719]~E(x7191,x7192)+E(f844(x7193,x7191,x7194),f844(x7193,x7192,x7194))
% 192.07/191.94 [720]~E(x7201,x7202)+E(f844(x7203,x7204,x7201),f844(x7203,x7204,x7202))
% 192.07/191.94 [721]~E(x7211,x7212)+E(f498(x7211,x7213,x7214,x7215,x7216),f498(x7212,x7213,x7214,x7215,x7216))
% 192.07/191.94 [722]~E(x7221,x7222)+E(f498(x7223,x7221,x7224,x7225,x7226),f498(x7223,x7222,x7224,x7225,x7226))
% 192.07/191.94 [723]~E(x7231,x7232)+E(f498(x7233,x7234,x7231,x7235,x7236),f498(x7233,x7234,x7232,x7235,x7236))
% 192.07/191.94 [724]~E(x7241,x7242)+E(f498(x7243,x7244,x7245,x7241,x7246),f498(x7243,x7244,x7245,x7242,x7246))
% 192.07/191.94 [725]~E(x7251,x7252)+E(f498(x7253,x7254,x7255,x7256,x7251),f498(x7253,x7254,x7255,x7256,x7252))
% 192.07/191.94 [726]~E(x7261,x7262)+E(f719(x7261,x7263,x7264,x7265,x7266),f719(x7262,x7263,x7264,x7265,x7266))
% 192.07/191.94 [727]~E(x7271,x7272)+E(f719(x7273,x7271,x7274,x7275,x7276),f719(x7273,x7272,x7274,x7275,x7276))
% 192.07/191.94 [728]~E(x7281,x7282)+E(f719(x7283,x7284,x7281,x7285,x7286),f719(x7283,x7284,x7282,x7285,x7286))
% 192.07/191.94 [729]~E(x7291,x7292)+E(f719(x7293,x7294,x7295,x7291,x7296),f719(x7293,x7294,x7295,x7292,x7296))
% 192.07/191.94 [730]~E(x7301,x7302)+E(f719(x7303,x7304,x7305,x7306,x7301),f719(x7303,x7304,x7305,x7306,x7302))
% 192.07/191.94 [731]~E(x7311,x7312)+E(f731(x7311,x7313,x7314,x7315,x7316),f731(x7312,x7313,x7314,x7315,x7316))
% 192.07/191.94 [732]~E(x7321,x7322)+E(f731(x7323,x7321,x7324,x7325,x7326),f731(x7323,x7322,x7324,x7325,x7326))
% 192.07/191.94 [733]~E(x7331,x7332)+E(f731(x7333,x7334,x7331,x7335,x7336),f731(x7333,x7334,x7332,x7335,x7336))
% 192.07/191.94 [734]~E(x7341,x7342)+E(f731(x7343,x7344,x7345,x7341,x7346),f731(x7343,x7344,x7345,x7342,x7346))
% 192.07/191.94 [735]~E(x7351,x7352)+E(f731(x7353,x7354,x7355,x7356,x7351),f731(x7353,x7354,x7355,x7356,x7352))
% 192.07/191.94 [736]~E(x7361,x7362)+E(f86(x7361),f86(x7362))
% 192.07/191.94 [737]~E(x7371,x7372)+E(f828(x7371,x7373,x7374,x7375,x7376,x7377,x7378,x7379),f828(x7372,x7373,x7374,x7375,x7376,x7377,x7378,x7379))
% 192.07/191.94 [738]~E(x7381,x7382)+E(f828(x7383,x7381,x7384,x7385,x7386,x7387,x7388,x7389),f828(x7383,x7382,x7384,x7385,x7386,x7387,x7388,x7389))
% 192.07/191.94 [739]~E(x7391,x7392)+E(f828(x7393,x7394,x7391,x7395,x7396,x7397,x7398,x7399),f828(x7393,x7394,x7392,x7395,x7396,x7397,x7398,x7399))
% 192.07/191.94 [740]~E(x7401,x7402)+E(f828(x7403,x7404,x7405,x7401,x7406,x7407,x7408,x7409),f828(x7403,x7404,x7405,x7402,x7406,x7407,x7408,x7409))
% 192.07/191.94 [741]~E(x7411,x7412)+E(f828(x7413,x7414,x7415,x7416,x7411,x7417,x7418,x7419),f828(x7413,x7414,x7415,x7416,x7412,x7417,x7418,x7419))
% 192.07/191.94 [742]~E(x7421,x7422)+E(f828(x7423,x7424,x7425,x7426,x7427,x7421,x7428,x7429),f828(x7423,x7424,x7425,x7426,x7427,x7422,x7428,x7429))
% 192.07/191.94 [743]~E(x7431,x7432)+E(f828(x7433,x7434,x7435,x7436,x7437,x7438,x7431,x7439),f828(x7433,x7434,x7435,x7436,x7437,x7438,x7432,x7439))
% 192.07/191.94 [744]~E(x7441,x7442)+E(f828(x7443,x7444,x7445,x7446,x7447,x7448,x7449,x7441),f828(x7443,x7444,x7445,x7446,x7447,x7448,x7449,x7442))
% 192.07/191.94 [745]~E(x7451,x7452)+E(f516(x7451,x7453,x7454,x7455,x7456),f516(x7452,x7453,x7454,x7455,x7456))
% 192.07/191.94 [746]~E(x7461,x7462)+E(f516(x7463,x7461,x7464,x7465,x7466),f516(x7463,x7462,x7464,x7465,x7466))
% 192.07/191.94 [747]~E(x7471,x7472)+E(f516(x7473,x7474,x7471,x7475,x7476),f516(x7473,x7474,x7472,x7475,x7476))
% 192.07/191.94 [748]~E(x7481,x7482)+E(f516(x7483,x7484,x7485,x7481,x7486),f516(x7483,x7484,x7485,x7482,x7486))
% 192.07/191.94 [749]~E(x7491,x7492)+E(f516(x7493,x7494,x7495,x7496,x7491),f516(x7493,x7494,x7495,x7496,x7492))
% 192.07/191.94 [750]~E(x7501,x7502)+E(f385(x7501,x7503,x7504,x7505,x7506),f385(x7502,x7503,x7504,x7505,x7506))
% 192.07/191.94 [751]~E(x7511,x7512)+E(f385(x7513,x7511,x7514,x7515,x7516),f385(x7513,x7512,x7514,x7515,x7516))
% 192.07/191.94 [752]~E(x7521,x7522)+E(f385(x7523,x7524,x7521,x7525,x7526),f385(x7523,x7524,x7522,x7525,x7526))
% 192.07/191.94 [753]~E(x7531,x7532)+E(f385(x7533,x7534,x7535,x7531,x7536),f385(x7533,x7534,x7535,x7532,x7536))
% 192.07/191.94 [754]~E(x7541,x7542)+E(f385(x7543,x7544,x7545,x7546,x7541),f385(x7543,x7544,x7545,x7546,x7542))
% 192.07/191.94 [755]~E(x7551,x7552)+E(f757(x7551,x7553,x7554),f757(x7552,x7553,x7554))
% 192.07/191.94 [756]~E(x7561,x7562)+E(f757(x7563,x7561,x7564),f757(x7563,x7562,x7564))
% 192.07/191.94 [757]~E(x7571,x7572)+E(f757(x7573,x7574,x7571),f757(x7573,x7574,x7572))
% 192.07/191.94 [758]~E(x7581,x7582)+E(f409(x7581,x7583,x7584,x7585,x7586),f409(x7582,x7583,x7584,x7585,x7586))
% 192.07/191.94 [759]~E(x7591,x7592)+E(f409(x7593,x7591,x7594,x7595,x7596),f409(x7593,x7592,x7594,x7595,x7596))
% 192.07/191.94 [760]~E(x7601,x7602)+E(f409(x7603,x7604,x7601,x7605,x7606),f409(x7603,x7604,x7602,x7605,x7606))
% 192.07/191.94 [761]~E(x7611,x7612)+E(f409(x7613,x7614,x7615,x7611,x7616),f409(x7613,x7614,x7615,x7612,x7616))
% 192.07/191.94 [762]~E(x7621,x7622)+E(f409(x7623,x7624,x7625,x7626,x7621),f409(x7623,x7624,x7625,x7626,x7622))
% 192.07/191.94 [763]~E(x7631,x7632)+E(f19(x7631,x7633,x7634,x7635),f19(x7632,x7633,x7634,x7635))
% 192.07/191.94 [764]~E(x7641,x7642)+E(f19(x7643,x7641,x7644,x7645),f19(x7643,x7642,x7644,x7645))
% 192.07/191.94 [765]~E(x7651,x7652)+E(f19(x7653,x7654,x7651,x7655),f19(x7653,x7654,x7652,x7655))
% 192.07/191.94 [766]~E(x7661,x7662)+E(f19(x7663,x7664,x7665,x7661),f19(x7663,x7664,x7665,x7662))
% 192.07/191.94 [767]~E(x7671,x7672)+E(f851(x7671,x7673,x7674),f851(x7672,x7673,x7674))
% 192.07/191.94 [768]~E(x7681,x7682)+E(f851(x7683,x7681,x7684),f851(x7683,x7682,x7684))
% 192.07/191.94 [769]~E(x7691,x7692)+E(f851(x7693,x7694,x7691),f851(x7693,x7694,x7692))
% 192.07/191.94 [770]~E(x7701,x7702)+E(f604(x7701,x7703,x7704),f604(x7702,x7703,x7704))
% 192.07/191.94 [771]~E(x7711,x7712)+E(f604(x7713,x7711,x7714),f604(x7713,x7712,x7714))
% 192.07/191.94 [772]~E(x7721,x7722)+E(f604(x7723,x7724,x7721),f604(x7723,x7724,x7722))
% 192.07/191.94 [773]~E(x7731,x7732)+E(f715(x7731,x7733,x7734),f715(x7732,x7733,x7734))
% 192.07/191.94 [774]~E(x7741,x7742)+E(f715(x7743,x7741,x7744),f715(x7743,x7742,x7744))
% 192.07/191.94 [775]~E(x7751,x7752)+E(f715(x7753,x7754,x7751),f715(x7753,x7754,x7752))
% 192.07/191.94 [776]~E(x7761,x7762)+E(f574(x7761,x7763,x7764,x7765),f574(x7762,x7763,x7764,x7765))
% 192.07/191.94 [777]~E(x7771,x7772)+E(f574(x7773,x7771,x7774,x7775),f574(x7773,x7772,x7774,x7775))
% 192.07/191.94 [778]~E(x7781,x7782)+E(f574(x7783,x7784,x7781,x7785),f574(x7783,x7784,x7782,x7785))
% 192.07/191.94 [779]~E(x7791,x7792)+E(f574(x7793,x7794,x7795,x7791),f574(x7793,x7794,x7795,x7792))
% 192.07/191.94 [780]~E(x7801,x7802)+E(f596(x7801,x7803),f596(x7802,x7803))
% 192.07/191.94 [781]~E(x7811,x7812)+E(f596(x7813,x7811),f596(x7813,x7812))
% 192.07/191.94 [782]~E(x7821,x7822)+E(f523(x7821,x7823,x7824,x7825,x7826,x7827,x7828),f523(x7822,x7823,x7824,x7825,x7826,x7827,x7828))
% 192.07/191.94 [783]~E(x7831,x7832)+E(f523(x7833,x7831,x7834,x7835,x7836,x7837,x7838),f523(x7833,x7832,x7834,x7835,x7836,x7837,x7838))
% 192.07/191.94 [784]~E(x7841,x7842)+E(f523(x7843,x7844,x7841,x7845,x7846,x7847,x7848),f523(x7843,x7844,x7842,x7845,x7846,x7847,x7848))
% 192.07/191.94 [785]~E(x7851,x7852)+E(f523(x7853,x7854,x7855,x7851,x7856,x7857,x7858),f523(x7853,x7854,x7855,x7852,x7856,x7857,x7858))
% 192.07/191.94 [786]~E(x7861,x7862)+E(f523(x7863,x7864,x7865,x7866,x7861,x7867,x7868),f523(x7863,x7864,x7865,x7866,x7862,x7867,x7868))
% 192.07/191.94 [787]~E(x7871,x7872)+E(f523(x7873,x7874,x7875,x7876,x7877,x7871,x7878),f523(x7873,x7874,x7875,x7876,x7877,x7872,x7878))
% 192.07/191.94 [788]~E(x7881,x7882)+E(f523(x7883,x7884,x7885,x7886,x7887,x7888,x7881),f523(x7883,x7884,x7885,x7886,x7887,x7888,x7882))
% 192.07/191.94 [789]~E(x7891,x7892)+E(f485(x7891,x7893,x7894,x7895,x7896),f485(x7892,x7893,x7894,x7895,x7896))
% 192.07/191.94 [790]~E(x7901,x7902)+E(f485(x7903,x7901,x7904,x7905,x7906),f485(x7903,x7902,x7904,x7905,x7906))
% 192.07/191.94 [791]~E(x7911,x7912)+E(f485(x7913,x7914,x7911,x7915,x7916),f485(x7913,x7914,x7912,x7915,x7916))
% 192.07/191.94 [792]~E(x7921,x7922)+E(f485(x7923,x7924,x7925,x7921,x7926),f485(x7923,x7924,x7925,x7922,x7926))
% 192.07/191.94 [793]~E(x7931,x7932)+E(f485(x7933,x7934,x7935,x7936,x7931),f485(x7933,x7934,x7935,x7936,x7932))
% 192.07/191.94 [794]~E(x7941,x7942)+E(f565(x7941,x7943,x7944,x7945,x7946),f565(x7942,x7943,x7944,x7945,x7946))
% 192.07/191.94 [795]~E(x7951,x7952)+E(f565(x7953,x7951,x7954,x7955,x7956),f565(x7953,x7952,x7954,x7955,x7956))
% 192.07/191.94 [796]~E(x7961,x7962)+E(f565(x7963,x7964,x7961,x7965,x7966),f565(x7963,x7964,x7962,x7965,x7966))
% 192.07/191.94 [797]~E(x7971,x7972)+E(f565(x7973,x7974,x7975,x7971,x7976),f565(x7973,x7974,x7975,x7972,x7976))
% 192.07/191.94 [798]~E(x7981,x7982)+E(f565(x7983,x7984,x7985,x7986,x7981),f565(x7983,x7984,x7985,x7986,x7982))
% 192.07/191.94 [799]~E(x7991,x7992)+E(f378(x7991,x7993),f378(x7992,x7993))
% 192.07/191.94 [800]~E(x8001,x8002)+E(f378(x8003,x8001),f378(x8003,x8002))
% 192.07/191.94 [801]~E(x8011,x8012)+E(f845(x8011,x8013,x8014,x8015,x8016,x8017,x8018),f845(x8012,x8013,x8014,x8015,x8016,x8017,x8018))
% 192.07/191.94 [802]~E(x8021,x8022)+E(f845(x8023,x8021,x8024,x8025,x8026,x8027,x8028),f845(x8023,x8022,x8024,x8025,x8026,x8027,x8028))
% 192.07/191.94 [803]~E(x8031,x8032)+E(f845(x8033,x8034,x8031,x8035,x8036,x8037,x8038),f845(x8033,x8034,x8032,x8035,x8036,x8037,x8038))
% 192.07/191.94 [804]~E(x8041,x8042)+E(f845(x8043,x8044,x8045,x8041,x8046,x8047,x8048),f845(x8043,x8044,x8045,x8042,x8046,x8047,x8048))
% 192.07/191.94 [805]~E(x8051,x8052)+E(f845(x8053,x8054,x8055,x8056,x8051,x8057,x8058),f845(x8053,x8054,x8055,x8056,x8052,x8057,x8058))
% 192.07/191.94 [806]~E(x8061,x8062)+E(f845(x8063,x8064,x8065,x8066,x8067,x8061,x8068),f845(x8063,x8064,x8065,x8066,x8067,x8062,x8068))
% 192.07/191.94 [807]~E(x8071,x8072)+E(f845(x8073,x8074,x8075,x8076,x8077,x8078,x8071),f845(x8073,x8074,x8075,x8076,x8077,x8078,x8072))
% 192.07/191.94 [808]~E(x8081,x8082)+E(f433(x8081,x8083,x8084,x8085),f433(x8082,x8083,x8084,x8085))
% 192.07/191.94 [809]~E(x8091,x8092)+E(f433(x8093,x8091,x8094,x8095),f433(x8093,x8092,x8094,x8095))
% 192.07/191.94 [810]~E(x8101,x8102)+E(f433(x8103,x8104,x8101,x8105),f433(x8103,x8104,x8102,x8105))
% 192.07/191.94 [811]~E(x8111,x8112)+E(f433(x8113,x8114,x8115,x8111),f433(x8113,x8114,x8115,x8112))
% 192.07/191.94 [812]~E(x8121,x8122)+E(f450(x8121,x8123,x8124),f450(x8122,x8123,x8124))
% 192.07/191.94 [813]~E(x8131,x8132)+E(f450(x8133,x8131,x8134),f450(x8133,x8132,x8134))
% 192.07/191.94 [814]~E(x8141,x8142)+E(f450(x8143,x8144,x8141),f450(x8143,x8144,x8142))
% 192.07/191.94 [815]~E(x8151,x8152)+E(f117(x8151,x8153,x8154,x8155,x8156),f117(x8152,x8153,x8154,x8155,x8156))
% 192.07/191.94 [816]~E(x8161,x8162)+E(f117(x8163,x8161,x8164,x8165,x8166),f117(x8163,x8162,x8164,x8165,x8166))
% 192.07/191.94 [817]~E(x8171,x8172)+E(f117(x8173,x8174,x8171,x8175,x8176),f117(x8173,x8174,x8172,x8175,x8176))
% 192.07/191.94 [818]~E(x8181,x8182)+E(f117(x8183,x8184,x8185,x8181,x8186),f117(x8183,x8184,x8185,x8182,x8186))
% 192.07/191.94 [819]~E(x8191,x8192)+E(f117(x8193,x8194,x8195,x8196,x8191),f117(x8193,x8194,x8195,x8196,x8192))
% 192.07/191.94 [820]~E(x8201,x8202)+E(f420(x8201,x8203,x8204,x8205,x8206,x8207),f420(x8202,x8203,x8204,x8205,x8206,x8207))
% 192.07/191.94 [821]~E(x8211,x8212)+E(f420(x8213,x8211,x8214,x8215,x8216,x8217),f420(x8213,x8212,x8214,x8215,x8216,x8217))
% 192.07/191.94 [822]~E(x8221,x8222)+E(f420(x8223,x8224,x8221,x8225,x8226,x8227),f420(x8223,x8224,x8222,x8225,x8226,x8227))
% 192.07/191.94 [823]~E(x8231,x8232)+E(f420(x8233,x8234,x8235,x8231,x8236,x8237),f420(x8233,x8234,x8235,x8232,x8236,x8237))
% 192.07/191.94 [824]~E(x8241,x8242)+E(f420(x8243,x8244,x8245,x8246,x8241,x8247),f420(x8243,x8244,x8245,x8246,x8242,x8247))
% 192.07/191.94 [825]~E(x8251,x8252)+E(f420(x8253,x8254,x8255,x8256,x8257,x8251),f420(x8253,x8254,x8255,x8256,x8257,x8252))
% 192.07/191.94 [826]~E(x8261,x8262)+E(f134(x8261,x8263),f134(x8262,x8263))
% 192.07/191.94 [827]~E(x8271,x8272)+E(f134(x8273,x8271),f134(x8273,x8272))
% 192.07/191.94 [828]~E(x8281,x8282)+E(f418(x8281,x8283,x8284,x8285,x8286),f418(x8282,x8283,x8284,x8285,x8286))
% 192.07/191.94 [829]~E(x8291,x8292)+E(f418(x8293,x8291,x8294,x8295,x8296),f418(x8293,x8292,x8294,x8295,x8296))
% 192.07/191.94 [830]~E(x8301,x8302)+E(f418(x8303,x8304,x8301,x8305,x8306),f418(x8303,x8304,x8302,x8305,x8306))
% 192.07/191.94 [831]~E(x8311,x8312)+E(f418(x8313,x8314,x8315,x8311,x8316),f418(x8313,x8314,x8315,x8312,x8316))
% 192.07/191.94 [832]~E(x8321,x8322)+E(f418(x8323,x8324,x8325,x8326,x8321),f418(x8323,x8324,x8325,x8326,x8322))
% 192.07/191.94 [833]~E(x8331,x8332)+E(f367(x8331,x8333,x8334),f367(x8332,x8333,x8334))
% 192.07/191.94 [834]~E(x8341,x8342)+E(f367(x8343,x8341,x8344),f367(x8343,x8342,x8344))
% 192.07/191.94 [835]~E(x8351,x8352)+E(f367(x8353,x8354,x8351),f367(x8353,x8354,x8352))
% 192.07/191.94 [836]~E(x8361,x8362)+E(f653(x8361,x8363,x8364),f653(x8362,x8363,x8364))
% 192.07/191.94 [837]~E(x8371,x8372)+E(f653(x8373,x8371,x8374),f653(x8373,x8372,x8374))
% 192.07/191.94 [838]~E(x8381,x8382)+E(f653(x8383,x8384,x8381),f653(x8383,x8384,x8382))
% 192.07/191.94 [839]~E(x8391,x8392)+E(f106(x8391,x8393,x8394),f106(x8392,x8393,x8394))
% 192.07/191.94 [840]~E(x8401,x8402)+E(f106(x8403,x8401,x8404),f106(x8403,x8402,x8404))
% 192.07/191.94 [841]~E(x8411,x8412)+E(f106(x8413,x8414,x8411),f106(x8413,x8414,x8412))
% 192.07/191.94 [842]~E(x8421,x8422)+E(f690(x8421,x8423,x8424,x8425,x8426,x8427,x8428),f690(x8422,x8423,x8424,x8425,x8426,x8427,x8428))
% 192.07/191.94 [843]~E(x8431,x8432)+E(f690(x8433,x8431,x8434,x8435,x8436,x8437,x8438),f690(x8433,x8432,x8434,x8435,x8436,x8437,x8438))
% 192.07/191.94 [844]~E(x8441,x8442)+E(f690(x8443,x8444,x8441,x8445,x8446,x8447,x8448),f690(x8443,x8444,x8442,x8445,x8446,x8447,x8448))
% 192.07/191.94 [845]~E(x8451,x8452)+E(f690(x8453,x8454,x8455,x8451,x8456,x8457,x8458),f690(x8453,x8454,x8455,x8452,x8456,x8457,x8458))
% 192.07/191.94 [846]~E(x8461,x8462)+E(f690(x8463,x8464,x8465,x8466,x8461,x8467,x8468),f690(x8463,x8464,x8465,x8466,x8462,x8467,x8468))
% 192.07/191.94 [847]~E(x8471,x8472)+E(f690(x8473,x8474,x8475,x8476,x8477,x8471,x8478),f690(x8473,x8474,x8475,x8476,x8477,x8472,x8478))
% 192.07/191.94 [848]~E(x8481,x8482)+E(f690(x8483,x8484,x8485,x8486,x8487,x8488,x8481),f690(x8483,x8484,x8485,x8486,x8487,x8488,x8482))
% 192.07/191.94 [849]~E(x8491,x8492)+E(f375(x8491,x8493,x8494,x8495,x8496,x8497,x8498,x8499),f375(x8492,x8493,x8494,x8495,x8496,x8497,x8498,x8499))
% 192.07/191.94 [850]~E(x8501,x8502)+E(f375(x8503,x8501,x8504,x8505,x8506,x8507,x8508,x8509),f375(x8503,x8502,x8504,x8505,x8506,x8507,x8508,x8509))
% 192.07/191.94 [851]~E(x8511,x8512)+E(f375(x8513,x8514,x8511,x8515,x8516,x8517,x8518,x8519),f375(x8513,x8514,x8512,x8515,x8516,x8517,x8518,x8519))
% 192.07/191.94 [852]~E(x8521,x8522)+E(f375(x8523,x8524,x8525,x8521,x8526,x8527,x8528,x8529),f375(x8523,x8524,x8525,x8522,x8526,x8527,x8528,x8529))
% 192.07/191.94 [853]~E(x8531,x8532)+E(f375(x8533,x8534,x8535,x8536,x8531,x8537,x8538,x8539),f375(x8533,x8534,x8535,x8536,x8532,x8537,x8538,x8539))
% 192.07/191.94 [854]~E(x8541,x8542)+E(f375(x8543,x8544,x8545,x8546,x8547,x8541,x8548,x8549),f375(x8543,x8544,x8545,x8546,x8547,x8542,x8548,x8549))
% 192.07/191.94 [855]~E(x8551,x8552)+E(f375(x8553,x8554,x8555,x8556,x8557,x8558,x8551,x8559),f375(x8553,x8554,x8555,x8556,x8557,x8558,x8552,x8559))
% 192.07/191.94 [856]~E(x8561,x8562)+E(f375(x8563,x8564,x8565,x8566,x8567,x8568,x8569,x8561),f375(x8563,x8564,x8565,x8566,x8567,x8568,x8569,x8562))
% 192.07/191.94 [857]~E(x8571,x8572)+E(f398(x8571,x8573),f398(x8572,x8573))
% 192.07/191.94 [858]~E(x8581,x8582)+E(f398(x8583,x8581),f398(x8583,x8582))
% 192.07/191.94 [859]~E(x8591,x8592)+E(f538(x8591,x8593,x8594,x8595,x8596,x8597),f538(x8592,x8593,x8594,x8595,x8596,x8597))
% 192.07/191.94 [860]~E(x8601,x8602)+E(f538(x8603,x8601,x8604,x8605,x8606,x8607),f538(x8603,x8602,x8604,x8605,x8606,x8607))
% 192.07/191.94 [861]~E(x8611,x8612)+E(f538(x8613,x8614,x8611,x8615,x8616,x8617),f538(x8613,x8614,x8612,x8615,x8616,x8617))
% 192.07/191.94 [862]~E(x8621,x8622)+E(f538(x8623,x8624,x8625,x8621,x8626,x8627),f538(x8623,x8624,x8625,x8622,x8626,x8627))
% 192.07/191.94 [863]~E(x8631,x8632)+E(f538(x8633,x8634,x8635,x8636,x8631,x8637),f538(x8633,x8634,x8635,x8636,x8632,x8637))
% 192.07/191.94 [864]~E(x8641,x8642)+E(f538(x8643,x8644,x8645,x8646,x8647,x8641),f538(x8643,x8644,x8645,x8646,x8647,x8642))
% 192.07/191.94 [865]~E(x8651,x8652)+E(f853(x8651,x8653,x8654),f853(x8652,x8653,x8654))
% 192.07/191.94 [866]~E(x8661,x8662)+E(f853(x8663,x8661,x8664),f853(x8663,x8662,x8664))
% 192.07/191.94 [867]~E(x8671,x8672)+E(f853(x8673,x8674,x8671),f853(x8673,x8674,x8672))
% 192.07/191.94 [868]~E(x8681,x8682)+E(f278(x8681,x8683),f278(x8682,x8683))
% 192.07/191.94 [869]~E(x8691,x8692)+E(f278(x8693,x8691),f278(x8693,x8692))
% 192.07/191.94 [870]~E(x8701,x8702)+E(f186(x8701,x8703,x8704,x8705),f186(x8702,x8703,x8704,x8705))
% 192.07/191.94 [871]~E(x8711,x8712)+E(f186(x8713,x8711,x8714,x8715),f186(x8713,x8712,x8714,x8715))
% 192.07/191.94 [872]~E(x8721,x8722)+E(f186(x8723,x8724,x8721,x8725),f186(x8723,x8724,x8722,x8725))
% 192.07/191.94 [873]~E(x8731,x8732)+E(f186(x8733,x8734,x8735,x8731),f186(x8733,x8734,x8735,x8732))
% 192.07/191.94 [874]~E(x8741,x8742)+E(f99(x8741),f99(x8742))
% 192.07/191.94 [875]~E(x8751,x8752)+E(f644(x8751,x8753,x8754,x8755),f644(x8752,x8753,x8754,x8755))
% 192.07/191.94 [876]~E(x8761,x8762)+E(f644(x8763,x8761,x8764,x8765),f644(x8763,x8762,x8764,x8765))
% 192.07/191.94 [877]~E(x8771,x8772)+E(f644(x8773,x8774,x8771,x8775),f644(x8773,x8774,x8772,x8775))
% 192.07/191.94 [878]~E(x8781,x8782)+E(f644(x8783,x8784,x8785,x8781),f644(x8783,x8784,x8785,x8782))
% 192.07/191.94 [879]~E(x8791,x8792)+E(f597(x8791,x8793,x8794),f597(x8792,x8793,x8794))
% 192.07/191.94 [880]~E(x8801,x8802)+E(f597(x8803,x8801,x8804),f597(x8803,x8802,x8804))
% 192.07/191.94 [881]~E(x8811,x8812)+E(f597(x8813,x8814,x8811),f597(x8813,x8814,x8812))
% 192.07/191.94 [882]~E(x8821,x8822)+E(f584(x8821,x8823,x8824,x8825),f584(x8822,x8823,x8824,x8825))
% 192.07/191.94 [883]~E(x8831,x8832)+E(f584(x8833,x8831,x8834,x8835),f584(x8833,x8832,x8834,x8835))
% 192.07/191.94 [884]~E(x8841,x8842)+E(f584(x8843,x8844,x8841,x8845),f584(x8843,x8844,x8842,x8845))
% 192.07/191.94 [885]~E(x8851,x8852)+E(f584(x8853,x8854,x8855,x8851),f584(x8853,x8854,x8855,x8852))
% 192.07/191.94 [886]~E(x8861,x8862)+E(f891(x8861,x8863,x8864,x8865),f891(x8862,x8863,x8864,x8865))
% 192.07/191.94 [887]~E(x8871,x8872)+E(f891(x8873,x8871,x8874,x8875),f891(x8873,x8872,x8874,x8875))
% 192.07/191.94 [888]~E(x8881,x8882)+E(f891(x8883,x8884,x8881,x8885),f891(x8883,x8884,x8882,x8885))
% 192.07/191.94 [889]~E(x8891,x8892)+E(f891(x8893,x8894,x8895,x8891),f891(x8893,x8894,x8895,x8892))
% 192.07/191.94 [890]~E(x8901,x8902)+E(f685(x8901,x8903,x8904,x8905,x8906),f685(x8902,x8903,x8904,x8905,x8906))
% 192.07/191.94 [891]~E(x8911,x8912)+E(f685(x8913,x8911,x8914,x8915,x8916),f685(x8913,x8912,x8914,x8915,x8916))
% 192.07/191.94 [892]~E(x8921,x8922)+E(f685(x8923,x8924,x8921,x8925,x8926),f685(x8923,x8924,x8922,x8925,x8926))
% 192.07/191.94 [893]~E(x8931,x8932)+E(f685(x8933,x8934,x8935,x8931,x8936),f685(x8933,x8934,x8935,x8932,x8936))
% 192.07/191.94 [894]~E(x8941,x8942)+E(f685(x8943,x8944,x8945,x8946,x8941),f685(x8943,x8944,x8945,x8946,x8942))
% 192.07/191.94 [895]~E(x8951,x8952)+E(f854(x8951,x8953,x8954),f854(x8952,x8953,x8954))
% 192.07/191.94 [896]~E(x8961,x8962)+E(f854(x8963,x8961,x8964),f854(x8963,x8962,x8964))
% 192.07/191.94 [897]~E(x8971,x8972)+E(f854(x8973,x8974,x8971),f854(x8973,x8974,x8972))
% 192.07/191.94 [898]~E(x8981,x8982)+E(f482(x8981,x8983,x8984,x8985,x8986,x8987),f482(x8982,x8983,x8984,x8985,x8986,x8987))
% 192.07/191.94 [899]~E(x8991,x8992)+E(f482(x8993,x8991,x8994,x8995,x8996,x8997),f482(x8993,x8992,x8994,x8995,x8996,x8997))
% 192.07/191.94 [900]~E(x9001,x9002)+E(f482(x9003,x9004,x9001,x9005,x9006,x9007),f482(x9003,x9004,x9002,x9005,x9006,x9007))
% 192.07/191.94 [901]~E(x9011,x9012)+E(f482(x9013,x9014,x9015,x9011,x9016,x9017),f482(x9013,x9014,x9015,x9012,x9016,x9017))
% 192.07/191.94 [902]~E(x9021,x9022)+E(f482(x9023,x9024,x9025,x9026,x9021,x9027),f482(x9023,x9024,x9025,x9026,x9022,x9027))
% 192.07/191.94 [903]~E(x9031,x9032)+E(f482(x9033,x9034,x9035,x9036,x9037,x9031),f482(x9033,x9034,x9035,x9036,x9037,x9032))
% 192.07/191.94 [904]~E(x9041,x9042)+E(f688(x9041,x9043,x9044,x9045,x9046,x9047,x9048),f688(x9042,x9043,x9044,x9045,x9046,x9047,x9048))
% 192.07/191.94 [905]~E(x9051,x9052)+E(f688(x9053,x9051,x9054,x9055,x9056,x9057,x9058),f688(x9053,x9052,x9054,x9055,x9056,x9057,x9058))
% 192.07/191.94 [906]~E(x9061,x9062)+E(f688(x9063,x9064,x9061,x9065,x9066,x9067,x9068),f688(x9063,x9064,x9062,x9065,x9066,x9067,x9068))
% 192.07/191.94 [907]~E(x9071,x9072)+E(f688(x9073,x9074,x9075,x9071,x9076,x9077,x9078),f688(x9073,x9074,x9075,x9072,x9076,x9077,x9078))
% 192.07/191.94 [908]~E(x9081,x9082)+E(f688(x9083,x9084,x9085,x9086,x9081,x9087,x9088),f688(x9083,x9084,x9085,x9086,x9082,x9087,x9088))
% 192.07/191.94 [909]~E(x9091,x9092)+E(f688(x9093,x9094,x9095,x9096,x9097,x9091,x9098),f688(x9093,x9094,x9095,x9096,x9097,x9092,x9098))
% 192.07/191.94 [910]~E(x9101,x9102)+E(f688(x9103,x9104,x9105,x9106,x9107,x9108,x9101),f688(x9103,x9104,x9105,x9106,x9107,x9108,x9102))
% 192.07/191.94 [911]~E(x9111,x9112)+E(f633(x9111,x9113,x9114),f633(x9112,x9113,x9114))
% 192.07/191.94 [912]~E(x9121,x9122)+E(f633(x9123,x9121,x9124),f633(x9123,x9122,x9124))
% 192.07/191.94 [913]~E(x9131,x9132)+E(f633(x9133,x9134,x9131),f633(x9133,x9134,x9132))
% 192.07/191.94 [914]~E(x9141,x9142)+E(f863(x9141,x9143,x9144),f863(x9142,x9143,x9144))
% 192.07/191.94 [915]~E(x9151,x9152)+E(f863(x9153,x9151,x9154),f863(x9153,x9152,x9154))
% 192.07/191.94 [916]~E(x9161,x9162)+E(f863(x9163,x9164,x9161),f863(x9163,x9164,x9162))
% 192.07/191.94 [917]~E(x9171,x9172)+E(f122(x9171,x9173),f122(x9172,x9173))
% 192.07/191.94 [918]~E(x9181,x9182)+E(f122(x9183,x9181),f122(x9183,x9182))
% 192.07/191.94 [919]~E(x9191,x9192)+E(f513(x9191),f513(x9192))
% 192.07/191.94 [920]~E(x9201,x9202)+E(f679(x9201,x9203),f679(x9202,x9203))
% 192.07/191.94 [921]~E(x9211,x9212)+E(f679(x9213,x9211),f679(x9213,x9212))
% 192.07/191.94 [922]~E(x9221,x9222)+E(f885(x9221,x9223,x9224),f885(x9222,x9223,x9224))
% 192.07/191.94 [923]~E(x9231,x9232)+E(f885(x9233,x9231,x9234),f885(x9233,x9232,x9234))
% 192.07/191.94 [924]~E(x9241,x9242)+E(f885(x9243,x9244,x9241),f885(x9243,x9244,x9242))
% 192.07/191.94 [925]~E(x9251,x9252)+E(f473(x9251,x9253,x9254),f473(x9252,x9253,x9254))
% 192.07/191.94 [926]~E(x9261,x9262)+E(f473(x9263,x9261,x9264),f473(x9263,x9262,x9264))
% 192.07/191.94 [927]~E(x9271,x9272)+E(f473(x9273,x9274,x9271),f473(x9273,x9274,x9272))
% 192.07/191.94 [928]~E(x9281,x9282)+E(f780(x9281,x9283,x9284,x9285),f780(x9282,x9283,x9284,x9285))
% 192.07/191.94 [929]~E(x9291,x9292)+E(f780(x9293,x9291,x9294,x9295),f780(x9293,x9292,x9294,x9295))
% 192.07/191.94 [930]~E(x9301,x9302)+E(f780(x9303,x9304,x9301,x9305),f780(x9303,x9304,x9302,x9305))
% 192.07/191.94 [931]~E(x9311,x9312)+E(f780(x9313,x9314,x9315,x9311),f780(x9313,x9314,x9315,x9312))
% 192.07/191.94 [932]~E(x9321,x9322)+E(f868(x9321),f868(x9322))
% 192.07/191.94 [933]~E(x9331,x9332)+E(f632(x9331,x9333,x9334),f632(x9332,x9333,x9334))
% 192.07/191.94 [934]~E(x9341,x9342)+E(f632(x9343,x9341,x9344),f632(x9343,x9342,x9344))
% 192.07/191.94 [935]~E(x9351,x9352)+E(f632(x9353,x9354,x9351),f632(x9353,x9354,x9352))
% 192.07/191.94 [936]~E(x9361,x9362)+E(f665(x9361,x9363,x9364,x9365),f665(x9362,x9363,x9364,x9365))
% 192.07/191.94 [937]~E(x9371,x9372)+E(f665(x9373,x9371,x9374,x9375),f665(x9373,x9372,x9374,x9375))
% 192.07/191.94 [938]~E(x9381,x9382)+E(f665(x9383,x9384,x9381,x9385),f665(x9383,x9384,x9382,x9385))
% 192.07/191.94 [939]~E(x9391,x9392)+E(f665(x9393,x9394,x9395,x9391),f665(x9393,x9394,x9395,x9392))
% 192.07/191.94 [940]~E(x9401,x9402)+E(f637(x9401,x9403),f637(x9402,x9403))
% 192.07/191.94 [941]~E(x9411,x9412)+E(f637(x9413,x9411),f637(x9413,x9412))
% 192.07/191.94 [942]~E(x9421,x9422)+E(f746(x9421,x9423,x9424),f746(x9422,x9423,x9424))
% 192.07/191.94 [943]~E(x9431,x9432)+E(f746(x9433,x9431,x9434),f746(x9433,x9432,x9434))
% 192.07/191.94 [944]~E(x9441,x9442)+E(f746(x9443,x9444,x9441),f746(x9443,x9444,x9442))
% 192.07/191.94 [945]~E(x9451,x9452)+E(f539(x9451,x9453,x9454,x9455,x9456,x9457),f539(x9452,x9453,x9454,x9455,x9456,x9457))
% 192.07/191.94 [946]~E(x9461,x9462)+E(f539(x9463,x9461,x9464,x9465,x9466,x9467),f539(x9463,x9462,x9464,x9465,x9466,x9467))
% 192.07/191.94 [947]~E(x9471,x9472)+E(f539(x9473,x9474,x9471,x9475,x9476,x9477),f539(x9473,x9474,x9472,x9475,x9476,x9477))
% 192.07/191.94 [948]~E(x9481,x9482)+E(f539(x9483,x9484,x9485,x9481,x9486,x9487),f539(x9483,x9484,x9485,x9482,x9486,x9487))
% 192.07/191.94 [949]~E(x9491,x9492)+E(f539(x9493,x9494,x9495,x9496,x9491,x9497),f539(x9493,x9494,x9495,x9496,x9492,x9497))
% 192.07/191.94 [950]~E(x9501,x9502)+E(f539(x9503,x9504,x9505,x9506,x9507,x9501),f539(x9503,x9504,x9505,x9506,x9507,x9502))
% 192.07/191.94 [951]~E(x9511,x9512)+E(f222(x9511,x9513),f222(x9512,x9513))
% 192.07/191.94 [952]~E(x9521,x9522)+E(f222(x9523,x9521),f222(x9523,x9522))
% 192.07/191.94 [953]~E(x9531,x9532)+E(f477(x9531,x9533,x9534),f477(x9532,x9533,x9534))
% 192.07/191.94 [954]~E(x9541,x9542)+E(f477(x9543,x9541,x9544),f477(x9543,x9542,x9544))
% 192.07/191.94 [955]~E(x9551,x9552)+E(f477(x9553,x9554,x9551),f477(x9553,x9554,x9552))
% 192.07/191.94 [956]~E(x9561,x9562)+E(f496(x9561,x9563,x9564,x9565,x9566),f496(x9562,x9563,x9564,x9565,x9566))
% 192.07/191.94 [957]~E(x9571,x9572)+E(f496(x9573,x9571,x9574,x9575,x9576),f496(x9573,x9572,x9574,x9575,x9576))
% 192.07/191.94 [958]~E(x9581,x9582)+E(f496(x9583,x9584,x9581,x9585,x9586),f496(x9583,x9584,x9582,x9585,x9586))
% 192.07/191.94 [959]~E(x9591,x9592)+E(f496(x9593,x9594,x9595,x9591,x9596),f496(x9593,x9594,x9595,x9592,x9596))
% 192.07/191.94 [960]~E(x9601,x9602)+E(f496(x9603,x9604,x9605,x9606,x9601),f496(x9603,x9604,x9605,x9606,x9602))
% 192.07/191.94 [961]~E(x9611,x9612)+E(f221(x9611,x9613,x9614,x9615),f221(x9612,x9613,x9614,x9615))
% 192.07/191.94 [962]~E(x9621,x9622)+E(f221(x9623,x9621,x9624,x9625),f221(x9623,x9622,x9624,x9625))
% 192.07/191.94 [963]~E(x9631,x9632)+E(f221(x9633,x9634,x9631,x9635),f221(x9633,x9634,x9632,x9635))
% 192.07/191.94 [964]~E(x9641,x9642)+E(f221(x9643,x9644,x9645,x9641),f221(x9643,x9644,x9645,x9642))
% 192.07/191.94 [965]~E(x9651,x9652)+E(f717(x9651,x9653,x9654,x9655,x9656),f717(x9652,x9653,x9654,x9655,x9656))
% 192.07/191.94 [966]~E(x9661,x9662)+E(f717(x9663,x9661,x9664,x9665,x9666),f717(x9663,x9662,x9664,x9665,x9666))
% 192.07/191.94 [967]~E(x9671,x9672)+E(f717(x9673,x9674,x9671,x9675,x9676),f717(x9673,x9674,x9672,x9675,x9676))
% 192.07/191.94 [968]~E(x9681,x9682)+E(f717(x9683,x9684,x9685,x9681,x9686),f717(x9683,x9684,x9685,x9682,x9686))
% 192.07/191.94 [969]~E(x9691,x9692)+E(f717(x9693,x9694,x9695,x9696,x9691),f717(x9693,x9694,x9695,x9696,x9692))
% 192.07/191.94 [970]~E(x9701,x9702)+E(f503(x9701,x9703,x9704,x9705,x9706),f503(x9702,x9703,x9704,x9705,x9706))
% 192.07/191.94 [971]~E(x9711,x9712)+E(f503(x9713,x9711,x9714,x9715,x9716),f503(x9713,x9712,x9714,x9715,x9716))
% 192.07/191.94 [972]~E(x9721,x9722)+E(f503(x9723,x9724,x9721,x9725,x9726),f503(x9723,x9724,x9722,x9725,x9726))
% 192.07/191.94 [973]~E(x9731,x9732)+E(f503(x9733,x9734,x9735,x9731,x9736),f503(x9733,x9734,x9735,x9732,x9736))
% 192.07/191.94 [974]~E(x9741,x9742)+E(f503(x9743,x9744,x9745,x9746,x9741),f503(x9743,x9744,x9745,x9746,x9742))
% 192.07/191.94 [975]~E(x9751,x9752)+E(f182(x9751,x9753),f182(x9752,x9753))
% 192.07/191.94 [976]~E(x9761,x9762)+E(f182(x9763,x9761),f182(x9763,x9762))
% 192.07/191.94 [977]~E(x9771,x9772)+E(f589(x9771,x9773,x9774,x9775),f589(x9772,x9773,x9774,x9775))
% 192.07/191.94 [978]~E(x9781,x9782)+E(f589(x9783,x9781,x9784,x9785),f589(x9783,x9782,x9784,x9785))
% 192.07/191.94 [979]~E(x9791,x9792)+E(f589(x9793,x9794,x9791,x9795),f589(x9793,x9794,x9792,x9795))
% 192.07/191.94 [980]~E(x9801,x9802)+E(f589(x9803,x9804,x9805,x9801),f589(x9803,x9804,x9805,x9802))
% 192.07/191.94 [981]~E(x9811,x9812)+E(f111(x9811,x9813),f111(x9812,x9813))
% 192.07/191.94 [982]~E(x9821,x9822)+E(f111(x9823,x9821),f111(x9823,x9822))
% 192.07/191.94 [983]~E(x9831,x9832)+E(f356(x9831,x9833,x9834,x9835),f356(x9832,x9833,x9834,x9835))
% 192.07/191.94 [984]~E(x9841,x9842)+E(f356(x9843,x9841,x9844,x9845),f356(x9843,x9842,x9844,x9845))
% 192.07/191.94 [985]~E(x9851,x9852)+E(f356(x9853,x9854,x9851,x9855),f356(x9853,x9854,x9852,x9855))
% 192.07/191.94 [986]~E(x9861,x9862)+E(f356(x9863,x9864,x9865,x9861),f356(x9863,x9864,x9865,x9862))
% 192.07/191.94 [987]~E(x9871,x9872)+E(f403(x9871,x9873,x9874),f403(x9872,x9873,x9874))
% 192.07/191.94 [988]~E(x9881,x9882)+E(f403(x9883,x9881,x9884),f403(x9883,x9882,x9884))
% 192.07/191.94 [989]~E(x9891,x9892)+E(f403(x9893,x9894,x9891),f403(x9893,x9894,x9892))
% 192.07/191.94 [990]~E(x9901,x9902)+E(f332(x9901,x9903,x9904,x9905),f332(x9902,x9903,x9904,x9905))
% 192.07/191.94 [991]~E(x9911,x9912)+E(f332(x9913,x9911,x9914,x9915),f332(x9913,x9912,x9914,x9915))
% 192.07/191.94 [992]~E(x9921,x9922)+E(f332(x9923,x9924,x9921,x9925),f332(x9923,x9924,x9922,x9925))
% 192.07/191.94 [993]~E(x9931,x9932)+E(f332(x9933,x9934,x9935,x9931),f332(x9933,x9934,x9935,x9932))
% 192.07/191.94 [994]~E(x9941,x9942)+E(f763(x9941,x9943,x9944,x9945),f763(x9942,x9943,x9944,x9945))
% 192.07/191.94 [995]~E(x9951,x9952)+E(f763(x9953,x9951,x9954,x9955),f763(x9953,x9952,x9954,x9955))
% 192.07/191.94 [996]~E(x9961,x9962)+E(f763(x9963,x9964,x9961,x9965),f763(x9963,x9964,x9962,x9965))
% 192.07/191.94 [997]~E(x9971,x9972)+E(f763(x9973,x9974,x9975,x9971),f763(x9973,x9974,x9975,x9972))
% 192.07/191.94 [998]~E(x9981,x9982)+E(f598(x9981,x9983,x9984,x9985),f598(x9982,x9983,x9984,x9985))
% 192.07/191.94 [999]~E(x9991,x9992)+E(f598(x9993,x9991,x9994,x9995),f598(x9993,x9992,x9994,x9995))
% 192.07/191.94 [1000]~E(x10001,x10002)+E(f598(x10003,x10004,x10001,x10005),f598(x10003,x10004,x10002,x10005))
% 192.07/191.94 [1001]~E(x10011,x10012)+E(f598(x10013,x10014,x10015,x10011),f598(x10013,x10014,x10015,x10012))
% 192.07/191.94 [1002]~E(x10021,x10022)+E(f352(x10021,x10023,x10024,x10025),f352(x10022,x10023,x10024,x10025))
% 192.07/191.94 [1003]~E(x10031,x10032)+E(f352(x10033,x10031,x10034,x10035),f352(x10033,x10032,x10034,x10035))
% 192.07/191.94 [1004]~E(x10041,x10042)+E(f352(x10043,x10044,x10041,x10045),f352(x10043,x10044,x10042,x10045))
% 192.07/191.94 [1005]~E(x10051,x10052)+E(f352(x10053,x10054,x10055,x10051),f352(x10053,x10054,x10055,x10052))
% 192.07/191.94 [1006]~E(x10061,x10062)+E(f819(x10061,x10063,x10064,x10065,x10066,x10067),f819(x10062,x10063,x10064,x10065,x10066,x10067))
% 192.07/191.94 [1007]~E(x10071,x10072)+E(f819(x10073,x10071,x10074,x10075,x10076,x10077),f819(x10073,x10072,x10074,x10075,x10076,x10077))
% 192.07/191.94 [1008]~E(x10081,x10082)+E(f819(x10083,x10084,x10081,x10085,x10086,x10087),f819(x10083,x10084,x10082,x10085,x10086,x10087))
% 192.07/191.94 [1009]~E(x10091,x10092)+E(f819(x10093,x10094,x10095,x10091,x10096,x10097),f819(x10093,x10094,x10095,x10092,x10096,x10097))
% 192.07/191.94 [1010]~E(x10101,x10102)+E(f819(x10103,x10104,x10105,x10106,x10101,x10107),f819(x10103,x10104,x10105,x10106,x10102,x10107))
% 192.07/191.94 [1011]~E(x10111,x10112)+E(f819(x10113,x10114,x10115,x10116,x10117,x10111),f819(x10113,x10114,x10115,x10116,x10117,x10112))
% 192.07/191.94 [1012]~E(x10121,x10122)+E(f335(x10121,x10123),f335(x10122,x10123))
% 192.07/191.94 [1013]~E(x10131,x10132)+E(f335(x10133,x10131),f335(x10133,x10132))
% 192.07/191.94 [1014]~E(x10141,x10142)+E(f677(x10141,x10143,x10144,x10145,x10146),f677(x10142,x10143,x10144,x10145,x10146))
% 192.07/191.94 [1015]~E(x10151,x10152)+E(f677(x10153,x10151,x10154,x10155,x10156),f677(x10153,x10152,x10154,x10155,x10156))
% 192.07/191.94 [1016]~E(x10161,x10162)+E(f677(x10163,x10164,x10161,x10165,x10166),f677(x10163,x10164,x10162,x10165,x10166))
% 192.07/191.94 [1017]~E(x10171,x10172)+E(f677(x10173,x10174,x10175,x10171,x10176),f677(x10173,x10174,x10175,x10172,x10176))
% 192.07/191.94 [1018]~E(x10181,x10182)+E(f677(x10183,x10184,x10185,x10186,x10181),f677(x10183,x10184,x10185,x10186,x10182))
% 192.07/191.94 [1019]~E(x10191,x10192)+E(f479(x10191,x10193,x10194),f479(x10192,x10193,x10194))
% 192.07/191.94 [1020]~E(x10201,x10202)+E(f479(x10203,x10201,x10204),f479(x10203,x10202,x10204))
% 192.07/191.94 [1021]~E(x10211,x10212)+E(f479(x10213,x10214,x10211),f479(x10213,x10214,x10212))
% 192.07/191.94 [1022]~E(x10221,x10222)+E(f890(x10221,x10223,x10224,x10225),f890(x10222,x10223,x10224,x10225))
% 192.07/191.94 [1023]~E(x10231,x10232)+E(f890(x10233,x10231,x10234,x10235),f890(x10233,x10232,x10234,x10235))
% 192.07/191.94 [1024]~E(x10241,x10242)+E(f890(x10243,x10244,x10241,x10245),f890(x10243,x10244,x10242,x10245))
% 192.07/191.94 [1025]~E(x10251,x10252)+E(f890(x10253,x10254,x10255,x10251),f890(x10253,x10254,x10255,x10252))
% 192.07/191.94 [1026]~E(x10261,x10262)+E(f732(x10261,x10263,x10264),f732(x10262,x10263,x10264))
% 192.07/191.94 [1027]~E(x10271,x10272)+E(f732(x10273,x10271,x10274),f732(x10273,x10272,x10274))
% 192.07/191.94 [1028]~E(x10281,x10282)+E(f732(x10283,x10284,x10281),f732(x10283,x10284,x10282))
% 192.07/191.94 [1029]~E(x10291,x10292)+E(f555(x10291,x10293,x10294),f555(x10292,x10293,x10294))
% 192.07/191.94 [1030]~E(x10301,x10302)+E(f555(x10303,x10301,x10304),f555(x10303,x10302,x10304))
% 192.07/191.94 [1031]~E(x10311,x10312)+E(f555(x10313,x10314,x10311),f555(x10313,x10314,x10312))
% 192.07/191.94 [1032]~E(x10321,x10322)+E(f621(x10321,x10323),f621(x10322,x10323))
% 192.07/191.94 [1033]~E(x10331,x10332)+E(f621(x10333,x10331),f621(x10333,x10332))
% 192.07/191.94 [1034]~E(x10341,x10342)+E(f866(x10341,x10343,x10344),f866(x10342,x10343,x10344))
% 192.07/191.94 [1035]~E(x10351,x10352)+E(f866(x10353,x10351,x10354),f866(x10353,x10352,x10354))
% 192.07/191.94 [1036]~E(x10361,x10362)+E(f866(x10363,x10364,x10361),f866(x10363,x10364,x10362))
% 192.07/191.94 [1037]~E(x10371,x10372)+E(f131(x10371),f131(x10372))
% 192.07/191.94 [1038]~E(x10381,x10382)+E(f256(x10381,x10383),f256(x10382,x10383))
% 192.07/191.94 [1039]~E(x10391,x10392)+E(f256(x10393,x10391),f256(x10393,x10392))
% 192.07/191.94 [1040]~E(x10401,x10402)+E(f700(x10401,x10403,x10404),f700(x10402,x10403,x10404))
% 192.07/191.94 [1041]~E(x10411,x10412)+E(f700(x10413,x10411,x10414),f700(x10413,x10412,x10414))
% 192.07/191.94 [1042]~E(x10421,x10422)+E(f700(x10423,x10424,x10421),f700(x10423,x10424,x10422))
% 192.07/191.94 [1043]~E(x10431,x10432)+E(f487(x10431,x10433),f487(x10432,x10433))
% 192.07/191.94 [1044]~E(x10441,x10442)+E(f487(x10443,x10441),f487(x10443,x10442))
% 192.07/191.94 [1045]~E(x10451,x10452)+E(f455(x10451,x10453,x10454),f455(x10452,x10453,x10454))
% 192.07/191.94 [1046]~E(x10461,x10462)+E(f455(x10463,x10461,x10464),f455(x10463,x10462,x10464))
% 192.07/191.94 [1047]~E(x10471,x10472)+E(f455(x10473,x10474,x10471),f455(x10473,x10474,x10472))
% 192.07/191.94 [1048]~E(x10481,x10482)+E(f424(x10481,x10483,x10484,x10485),f424(x10482,x10483,x10484,x10485))
% 192.07/191.94 [1049]~E(x10491,x10492)+E(f424(x10493,x10491,x10494,x10495),f424(x10493,x10492,x10494,x10495))
% 192.07/191.94 [1050]~E(x10501,x10502)+E(f424(x10503,x10504,x10501,x10505),f424(x10503,x10504,x10502,x10505))
% 192.07/191.94 [1051]~E(x10511,x10512)+E(f424(x10513,x10514,x10515,x10511),f424(x10513,x10514,x10515,x10512))
% 192.07/191.94 [1052]~E(x10521,x10522)+E(f428(x10521,x10523,x10524,x10525,x10526,x10527,x10528,x10529),f428(x10522,x10523,x10524,x10525,x10526,x10527,x10528,x10529))
% 192.07/191.94 [1053]~E(x10531,x10532)+E(f428(x10533,x10531,x10534,x10535,x10536,x10537,x10538,x10539),f428(x10533,x10532,x10534,x10535,x10536,x10537,x10538,x10539))
% 192.07/191.94 [1054]~E(x10541,x10542)+E(f428(x10543,x10544,x10541,x10545,x10546,x10547,x10548,x10549),f428(x10543,x10544,x10542,x10545,x10546,x10547,x10548,x10549))
% 192.07/191.94 [1055]~E(x10551,x10552)+E(f428(x10553,x10554,x10555,x10551,x10556,x10557,x10558,x10559),f428(x10553,x10554,x10555,x10552,x10556,x10557,x10558,x10559))
% 192.07/191.94 [1056]~E(x10561,x10562)+E(f428(x10563,x10564,x10565,x10566,x10561,x10567,x10568,x10569),f428(x10563,x10564,x10565,x10566,x10562,x10567,x10568,x10569))
% 192.07/191.94 [1057]~E(x10571,x10572)+E(f428(x10573,x10574,x10575,x10576,x10577,x10571,x10578,x10579),f428(x10573,x10574,x10575,x10576,x10577,x10572,x10578,x10579))
% 192.07/191.94 [1058]~E(x10581,x10582)+E(f428(x10583,x10584,x10585,x10586,x10587,x10588,x10581,x10589),f428(x10583,x10584,x10585,x10586,x10587,x10588,x10582,x10589))
% 192.07/191.94 [1059]~E(x10591,x10592)+E(f428(x10593,x10594,x10595,x10596,x10597,x10598,x10599,x10591),f428(x10593,x10594,x10595,x10596,x10597,x10598,x10599,x10592))
% 192.07/191.94 [1060]~E(x10601,x10602)+E(f452(x10601,x10603),f452(x10602,x10603))
% 192.07/191.94 [1061]~E(x10611,x10612)+E(f452(x10613,x10611),f452(x10613,x10612))
% 192.07/191.94 [1062]~E(x10621,x10622)+E(f296(x10621,x10623,x10624),f296(x10622,x10623,x10624))
% 192.07/191.94 [1063]~E(x10631,x10632)+E(f296(x10633,x10631,x10634),f296(x10633,x10632,x10634))
% 192.07/191.94 [1064]~E(x10641,x10642)+E(f296(x10643,x10644,x10641),f296(x10643,x10644,x10642))
% 192.07/191.94 [1065]~E(x10651,x10652)+E(f595(x10651,x10653),f595(x10652,x10653))
% 192.07/191.94 [1066]~E(x10661,x10662)+E(f595(x10663,x10661),f595(x10663,x10662))
% 192.07/191.94 [1067]~E(x10671,x10672)+E(f573(x10671,x10673,x10674,x10675),f573(x10672,x10673,x10674,x10675))
% 192.07/191.94 [1068]~E(x10681,x10682)+E(f573(x10683,x10681,x10684,x10685),f573(x10683,x10682,x10684,x10685))
% 192.07/191.94 [1069]~E(x10691,x10692)+E(f573(x10693,x10694,x10691,x10695),f573(x10693,x10694,x10692,x10695))
% 192.07/191.94 [1070]~E(x10701,x10702)+E(f573(x10703,x10704,x10705,x10701),f573(x10703,x10704,x10705,x10702))
% 192.07/191.94 [1071]~E(x10711,x10712)+E(f761(x10711,x10713,x10714,x10715),f761(x10712,x10713,x10714,x10715))
% 192.07/191.94 [1072]~E(x10721,x10722)+E(f761(x10723,x10721,x10724,x10725),f761(x10723,x10722,x10724,x10725))
% 192.07/191.94 [1073]~E(x10731,x10732)+E(f761(x10733,x10734,x10731,x10735),f761(x10733,x10734,x10732,x10735))
% 192.07/191.94 [1074]~E(x10741,x10742)+E(f761(x10743,x10744,x10745,x10741),f761(x10743,x10744,x10745,x10742))
% 192.07/191.94 [1075]~E(x10751,x10752)+E(f579(x10751,x10753,x10754),f579(x10752,x10753,x10754))
% 192.07/191.94 [1076]~E(x10761,x10762)+E(f579(x10763,x10761,x10764),f579(x10763,x10762,x10764))
% 192.07/191.94 [1077]~E(x10771,x10772)+E(f579(x10773,x10774,x10771),f579(x10773,x10774,x10772))
% 192.07/191.94 [1078]~E(x10781,x10782)+E(f692(x10781,x10783,x10784,x10785),f692(x10782,x10783,x10784,x10785))
% 192.07/191.94 [1079]~E(x10791,x10792)+E(f692(x10793,x10791,x10794,x10795),f692(x10793,x10792,x10794,x10795))
% 192.07/191.94 [1080]~E(x10801,x10802)+E(f692(x10803,x10804,x10801,x10805),f692(x10803,x10804,x10802,x10805))
% 192.07/191.94 [1081]~E(x10811,x10812)+E(f692(x10813,x10814,x10815,x10811),f692(x10813,x10814,x10815,x10812))
% 192.07/191.94 [1082]~E(x10821,x10822)+E(f896(x10821,x10823,x10824,x10825),f896(x10822,x10823,x10824,x10825))
% 192.07/191.94 [1083]~E(x10831,x10832)+E(f896(x10833,x10831,x10834,x10835),f896(x10833,x10832,x10834,x10835))
% 192.07/191.94 [1084]~E(x10841,x10842)+E(f896(x10843,x10844,x10841,x10845),f896(x10843,x10844,x10842,x10845))
% 192.07/191.94 [1085]~E(x10851,x10852)+E(f896(x10853,x10854,x10855,x10851),f896(x10853,x10854,x10855,x10852))
% 192.07/191.94 [1086]~E(x10861,x10862)+E(f871(x10861,x10863,x10864),f871(x10862,x10863,x10864))
% 192.07/191.94 [1087]~E(x10871,x10872)+E(f871(x10873,x10871,x10874),f871(x10873,x10872,x10874))
% 192.07/191.94 [1088]~E(x10881,x10882)+E(f871(x10883,x10884,x10881),f871(x10883,x10884,x10882))
% 192.07/191.94 [1089]~E(x10891,x10892)+E(f794(x10891,x10893,x10894),f794(x10892,x10893,x10894))
% 192.07/191.94 [1090]~E(x10901,x10902)+E(f794(x10903,x10901,x10904),f794(x10903,x10902,x10904))
% 192.07/191.94 [1091]~E(x10911,x10912)+E(f794(x10913,x10914,x10911),f794(x10913,x10914,x10912))
% 192.07/191.94 [1092]~E(x10921,x10922)+E(f260(x10921,x10923),f260(x10922,x10923))
% 192.07/191.94 [1093]~E(x10931,x10932)+E(f260(x10933,x10931),f260(x10933,x10932))
% 192.07/191.94 [1094]~E(x10941,x10942)+E(f220(x10941,x10943,x10944),f220(x10942,x10943,x10944))
% 192.07/191.94 [1095]~E(x10951,x10952)+E(f220(x10953,x10951,x10954),f220(x10953,x10952,x10954))
% 192.07/191.94 [1096]~E(x10961,x10962)+E(f220(x10963,x10964,x10961),f220(x10963,x10964,x10962))
% 192.07/191.94 [1097]~E(x10971,x10972)+E(f858(x10971),f858(x10972))
% 192.07/191.94 [1098]~E(x10981,x10982)+E(f156(x10981,x10983,x10984),f156(x10982,x10983,x10984))
% 192.07/191.94 [1099]~E(x10991,x10992)+E(f156(x10993,x10991,x10994),f156(x10993,x10992,x10994))
% 192.07/191.94 [1100]~E(x11001,x11002)+E(f156(x11003,x11004,x11001),f156(x11003,x11004,x11002))
% 192.07/191.94 [1101]~E(x11011,x11012)+E(f650(x11011,x11013),f650(x11012,x11013))
% 192.07/191.94 [1102]~E(x11021,x11022)+E(f650(x11023,x11021),f650(x11023,x11022))
% 192.07/191.94 [1103]~E(x11031,x11032)+E(f668(x11031,x11033,x11034),f668(x11032,x11033,x11034))
% 192.07/191.94 [1104]~E(x11041,x11042)+E(f668(x11043,x11041,x11044),f668(x11043,x11042,x11044))
% 192.07/191.94 [1105]~E(x11051,x11052)+E(f668(x11053,x11054,x11051),f668(x11053,x11054,x11052))
% 192.07/191.94 [1106]~E(x11061,x11062)+E(f282(x11061,x11063),f282(x11062,x11063))
% 192.07/191.94 [1107]~E(x11071,x11072)+E(f282(x11073,x11071),f282(x11073,x11072))
% 192.07/191.94 [1108]~E(x11081,x11082)+E(f491(x11081,x11083,x11084,x11085,x11086,x11087,x11088),f491(x11082,x11083,x11084,x11085,x11086,x11087,x11088))
% 192.07/191.94 [1109]~E(x11091,x11092)+E(f491(x11093,x11091,x11094,x11095,x11096,x11097,x11098),f491(x11093,x11092,x11094,x11095,x11096,x11097,x11098))
% 192.07/191.94 [1110]~E(x11101,x11102)+E(f491(x11103,x11104,x11101,x11105,x11106,x11107,x11108),f491(x11103,x11104,x11102,x11105,x11106,x11107,x11108))
% 192.07/191.94 [1111]~E(x11111,x11112)+E(f491(x11113,x11114,x11115,x11111,x11116,x11117,x11118),f491(x11113,x11114,x11115,x11112,x11116,x11117,x11118))
% 192.07/191.94 [1112]~E(x11121,x11122)+E(f491(x11123,x11124,x11125,x11126,x11121,x11127,x11128),f491(x11123,x11124,x11125,x11126,x11122,x11127,x11128))
% 192.07/191.94 [1113]~E(x11131,x11132)+E(f491(x11133,x11134,x11135,x11136,x11137,x11131,x11138),f491(x11133,x11134,x11135,x11136,x11137,x11132,x11138))
% 192.07/191.94 [1114]~E(x11141,x11142)+E(f491(x11143,x11144,x11145,x11146,x11147,x11148,x11141),f491(x11143,x11144,x11145,x11146,x11147,x11148,x11142))
% 192.07/191.94 [1115]~E(x11151,x11152)+E(f848(x11151,x11153,x11154),f848(x11152,x11153,x11154))
% 192.07/191.94 [1116]~E(x11161,x11162)+E(f848(x11163,x11161,x11164),f848(x11163,x11162,x11164))
% 192.07/191.94 [1117]~E(x11171,x11172)+E(f848(x11173,x11174,x11171),f848(x11173,x11174,x11172))
% 192.07/191.94 [1118]~E(x11181,x11182)+E(f534(x11181,x11183),f534(x11182,x11183))
% 192.07/191.94 [1119]~E(x11191,x11192)+E(f534(x11193,x11191),f534(x11193,x11192))
% 192.07/191.94 [1120]~E(x11201,x11202)+E(f528(x11201,x11203,x11204,x11205),f528(x11202,x11203,x11204,x11205))
% 192.07/191.94 [1121]~E(x11211,x11212)+E(f528(x11213,x11211,x11214,x11215),f528(x11213,x11212,x11214,x11215))
% 192.07/191.94 [1122]~E(x11221,x11222)+E(f528(x11223,x11224,x11221,x11225),f528(x11223,x11224,x11222,x11225))
% 192.07/191.94 [1123]~E(x11231,x11232)+E(f528(x11233,x11234,x11235,x11231),f528(x11233,x11234,x11235,x11232))
% 192.07/191.94 [1124]~E(x11241,x11242)+E(f229(x11241,x11243),f229(x11242,x11243))
% 192.07/191.94 [1125]~E(x11251,x11252)+E(f229(x11253,x11251),f229(x11253,x11252))
% 192.07/191.94 [1126]~E(x11261,x11262)+E(f235(x11261,x11263,x11264),f235(x11262,x11263,x11264))
% 192.07/191.94 [1127]~E(x11271,x11272)+E(f235(x11273,x11271,x11274),f235(x11273,x11272,x11274))
% 192.07/191.94 [1128]~E(x11281,x11282)+E(f235(x11283,x11284,x11281),f235(x11283,x11284,x11282))
% 192.07/191.94 [1129]~E(x11291,x11292)+E(f290(x11291,x11293,x11294,x11295,x11296),f290(x11292,x11293,x11294,x11295,x11296))
% 192.07/191.94 [1130]~E(x11301,x11302)+E(f290(x11303,x11301,x11304,x11305,x11306),f290(x11303,x11302,x11304,x11305,x11306))
% 192.07/191.94 [1131]~E(x11311,x11312)+E(f290(x11313,x11314,x11311,x11315,x11316),f290(x11313,x11314,x11312,x11315,x11316))
% 192.07/191.94 [1132]~E(x11321,x11322)+E(f290(x11323,x11324,x11325,x11321,x11326),f290(x11323,x11324,x11325,x11322,x11326))
% 192.07/191.94 [1133]~E(x11331,x11332)+E(f290(x11333,x11334,x11335,x11336,x11331),f290(x11333,x11334,x11335,x11336,x11332))
% 192.07/191.94 [1134]~E(x11341,x11342)+E(f486(x11341,x11343,x11344,x11345),f486(x11342,x11343,x11344,x11345))
% 192.07/191.94 [1135]~E(x11351,x11352)+E(f486(x11353,x11351,x11354,x11355),f486(x11353,x11352,x11354,x11355))
% 192.07/191.94 [1136]~E(x11361,x11362)+E(f486(x11363,x11364,x11361,x11365),f486(x11363,x11364,x11362,x11365))
% 192.07/191.94 [1137]~E(x11371,x11372)+E(f486(x11373,x11374,x11375,x11371),f486(x11373,x11374,x11375,x11372))
% 192.07/191.94 [1138]~E(x11381,x11382)+E(f206(x11381,x11383),f206(x11382,x11383))
% 192.07/191.94 [1139]~E(x11391,x11392)+E(f206(x11393,x11391),f206(x11393,x11392))
% 192.07/191.94 [1140]~E(x11401,x11402)+E(f446(x11401,x11403,x11404),f446(x11402,x11403,x11404))
% 192.07/191.94 [1141]~E(x11411,x11412)+E(f446(x11413,x11411,x11414),f446(x11413,x11412,x11414))
% 192.07/191.94 [1142]~E(x11421,x11422)+E(f446(x11423,x11424,x11421),f446(x11423,x11424,x11422))
% 192.07/191.94 [1143]~E(x11431,x11432)+E(f751(x11431,x11433,x11434),f751(x11432,x11433,x11434))
% 192.07/191.94 [1144]~E(x11441,x11442)+E(f751(x11443,x11441,x11444),f751(x11443,x11442,x11444))
% 192.07/191.94 [1145]~E(x11451,x11452)+E(f751(x11453,x11454,x11451),f751(x11453,x11454,x11452))
% 192.07/191.94 [1146]~E(x11461,x11462)+E(f108(x11461,x11463,x11464),f108(x11462,x11463,x11464))
% 192.07/191.94 [1147]~E(x11471,x11472)+E(f108(x11473,x11471,x11474),f108(x11473,x11472,x11474))
% 192.07/191.94 [1148]~E(x11481,x11482)+E(f108(x11483,x11484,x11481),f108(x11483,x11484,x11482))
% 192.07/191.94 [1149]~E(x11491,x11492)+E(f788(x11491,x11493),f788(x11492,x11493))
% 192.07/191.94 [1150]~E(x11501,x11502)+E(f788(x11503,x11501),f788(x11503,x11502))
% 192.07/191.94 [1151]~E(x11511,x11512)+E(f197(x11511,x11513,x11514,x11515,x11516,x11517,x11518),f197(x11512,x11513,x11514,x11515,x11516,x11517,x11518))
% 192.07/191.94 [1152]~E(x11521,x11522)+E(f197(x11523,x11521,x11524,x11525,x11526,x11527,x11528),f197(x11523,x11522,x11524,x11525,x11526,x11527,x11528))
% 192.07/191.94 [1153]~E(x11531,x11532)+E(f197(x11533,x11534,x11531,x11535,x11536,x11537,x11538),f197(x11533,x11534,x11532,x11535,x11536,x11537,x11538))
% 192.07/191.94 [1154]~E(x11541,x11542)+E(f197(x11543,x11544,x11545,x11541,x11546,x11547,x11548),f197(x11543,x11544,x11545,x11542,x11546,x11547,x11548))
% 192.07/191.94 [1155]~E(x11551,x11552)+E(f197(x11553,x11554,x11555,x11556,x11551,x11557,x11558),f197(x11553,x11554,x11555,x11556,x11552,x11557,x11558))
% 192.07/191.94 [1156]~E(x11561,x11562)+E(f197(x11563,x11564,x11565,x11566,x11567,x11561,x11568),f197(x11563,x11564,x11565,x11566,x11567,x11562,x11568))
% 192.07/191.94 [1157]~E(x11571,x11572)+E(f197(x11573,x11574,x11575,x11576,x11577,x11578,x11571),f197(x11573,x11574,x11575,x11576,x11577,x11578,x11572))
% 192.07/191.94 [1158]~E(x11581,x11582)+E(f459(x11581,x11583,x11584),f459(x11582,x11583,x11584))
% 192.07/191.94 [1159]~E(x11591,x11592)+E(f459(x11593,x11591,x11594),f459(x11593,x11592,x11594))
% 192.07/191.94 [1160]~E(x11601,x11602)+E(f459(x11603,x11604,x11601),f459(x11603,x11604,x11602))
% 192.07/191.94 [1161]~E(x11611,x11612)+E(f349(x11611,x11613),f349(x11612,x11613))
% 192.07/191.94 [1162]~E(x11621,x11622)+E(f349(x11623,x11621),f349(x11623,x11622))
% 192.07/191.94 [1163]~E(x11631,x11632)+E(f767(x11631,x11633),f767(x11632,x11633))
% 192.07/191.94 [1164]~E(x11641,x11642)+E(f767(x11643,x11641),f767(x11643,x11642))
% 192.07/191.94 [1165]~E(x11651,x11652)+E(f210(x11651,x11653,x11654,x11655),f210(x11652,x11653,x11654,x11655))
% 192.07/191.94 [1166]~E(x11661,x11662)+E(f210(x11663,x11661,x11664,x11665),f210(x11663,x11662,x11664,x11665))
% 192.07/191.94 [1167]~E(x11671,x11672)+E(f210(x11673,x11674,x11671,x11675),f210(x11673,x11674,x11672,x11675))
% 192.07/191.94 [1168]~E(x11681,x11682)+E(f210(x11683,x11684,x11685,x11681),f210(x11683,x11684,x11685,x11682))
% 192.07/191.94 [1169]~E(x11691,x11692)+E(f287(x11691,x11693,x11694,x11695,x11696),f287(x11692,x11693,x11694,x11695,x11696))
% 192.07/191.94 [1170]~E(x11701,x11702)+E(f287(x11703,x11701,x11704,x11705,x11706),f287(x11703,x11702,x11704,x11705,x11706))
% 192.07/191.94 [1171]~E(x11711,x11712)+E(f287(x11713,x11714,x11711,x11715,x11716),f287(x11713,x11714,x11712,x11715,x11716))
% 192.07/191.94 [1172]~E(x11721,x11722)+E(f287(x11723,x11724,x11725,x11721,x11726),f287(x11723,x11724,x11725,x11722,x11726))
% 192.07/191.94 [1173]~E(x11731,x11732)+E(f287(x11733,x11734,x11735,x11736,x11731),f287(x11733,x11734,x11735,x11736,x11732))
% 192.07/191.94 [1174]~E(x11741,x11742)+E(f517(x11741),f517(x11742))
% 192.07/191.94 [1175]~E(x11751,x11752)+E(f886(x11751,x11753,x11754,x11755),f886(x11752,x11753,x11754,x11755))
% 192.07/191.94 [1176]~E(x11761,x11762)+E(f886(x11763,x11761,x11764,x11765),f886(x11763,x11762,x11764,x11765))
% 192.07/191.94 [1177]~E(x11771,x11772)+E(f886(x11773,x11774,x11771,x11775),f886(x11773,x11774,x11772,x11775))
% 192.07/191.94 [1178]~E(x11781,x11782)+E(f886(x11783,x11784,x11785,x11781),f886(x11783,x11784,x11785,x11782))
% 192.07/191.94 [1179]~E(x11791,x11792)+E(f202(x11791),f202(x11792))
% 192.07/191.94 [1180]~E(x11801,x11802)+E(f359(x11801,x11803,x11804,x11805),f359(x11802,x11803,x11804,x11805))
% 192.07/191.94 [1181]~E(x11811,x11812)+E(f359(x11813,x11811,x11814,x11815),f359(x11813,x11812,x11814,x11815))
% 192.07/191.94 [1182]~E(x11821,x11822)+E(f359(x11823,x11824,x11821,x11825),f359(x11823,x11824,x11822,x11825))
% 192.07/191.94 [1183]~E(x11831,x11832)+E(f359(x11833,x11834,x11835,x11831),f359(x11833,x11834,x11835,x11832))
% 192.07/191.94 [1184]~E(x11841,x11842)+E(f462(x11841,x11843,x11844),f462(x11842,x11843,x11844))
% 192.07/191.94 [1185]~E(x11851,x11852)+E(f462(x11853,x11851,x11854),f462(x11853,x11852,x11854))
% 192.07/191.94 [1186]~E(x11861,x11862)+E(f462(x11863,x11864,x11861),f462(x11863,x11864,x11862))
% 192.07/191.94 [1187]~E(x11871,x11872)+E(f118(x11871,x11873),f118(x11872,x11873))
% 192.07/191.94 [1188]~E(x11881,x11882)+E(f118(x11883,x11881),f118(x11883,x11882))
% 192.07/191.94 [1189]~E(x11891,x11892)+E(f774(x11891,x11893,x11894,x11895,x11896,x11897,x11898),f774(x11892,x11893,x11894,x11895,x11896,x11897,x11898))
% 192.07/191.94 [1190]~E(x11901,x11902)+E(f774(x11903,x11901,x11904,x11905,x11906,x11907,x11908),f774(x11903,x11902,x11904,x11905,x11906,x11907,x11908))
% 192.07/191.94 [1191]~E(x11911,x11912)+E(f774(x11913,x11914,x11911,x11915,x11916,x11917,x11918),f774(x11913,x11914,x11912,x11915,x11916,x11917,x11918))
% 192.07/191.94 [1192]~E(x11921,x11922)+E(f774(x11923,x11924,x11925,x11921,x11926,x11927,x11928),f774(x11923,x11924,x11925,x11922,x11926,x11927,x11928))
% 192.07/191.94 [1193]~E(x11931,x11932)+E(f774(x11933,x11934,x11935,x11936,x11931,x11937,x11938),f774(x11933,x11934,x11935,x11936,x11932,x11937,x11938))
% 192.07/191.94 [1194]~E(x11941,x11942)+E(f774(x11943,x11944,x11945,x11946,x11947,x11941,x11948),f774(x11943,x11944,x11945,x11946,x11947,x11942,x11948))
% 192.07/191.94 [1195]~E(x11951,x11952)+E(f774(x11953,x11954,x11955,x11956,x11957,x11958,x11951),f774(x11953,x11954,x11955,x11956,x11957,x11958,x11952))
% 192.07/191.94 [1196]~E(x11961,x11962)+E(f783(x11961,x11963),f783(x11962,x11963))
% 192.07/191.94 [1197]~E(x11971,x11972)+E(f783(x11973,x11971),f783(x11973,x11972))
% 192.07/191.94 [1198]~E(x11981,x11982)+E(f881(x11981,x11983,x11984),f881(x11982,x11983,x11984))
% 192.07/191.94 [1199]~E(x11991,x11992)+E(f881(x11993,x11991,x11994),f881(x11993,x11992,x11994))
% 192.07/191.94 [1200]~E(x12001,x12002)+E(f881(x12003,x12004,x12001),f881(x12003,x12004,x12002))
% 192.07/191.94 [1201]~E(x12011,x12012)+E(f495(x12011,x12013,x12014,x12015,x12016),f495(x12012,x12013,x12014,x12015,x12016))
% 192.07/191.94 [1202]~E(x12021,x12022)+E(f495(x12023,x12021,x12024,x12025,x12026),f495(x12023,x12022,x12024,x12025,x12026))
% 192.07/191.94 [1203]~E(x12031,x12032)+E(f495(x12033,x12034,x12031,x12035,x12036),f495(x12033,x12034,x12032,x12035,x12036))
% 192.07/191.94 [1204]~E(x12041,x12042)+E(f495(x12043,x12044,x12045,x12041,x12046),f495(x12043,x12044,x12045,x12042,x12046))
% 192.07/191.94 [1205]~E(x12051,x12052)+E(f495(x12053,x12054,x12055,x12056,x12051),f495(x12053,x12054,x12055,x12056,x12052))
% 192.07/191.94 [1206]~E(x12061,x12062)+E(f873(x12061,x12063,x12064),f873(x12062,x12063,x12064))
% 192.07/191.94 [1207]~E(x12071,x12072)+E(f873(x12073,x12071,x12074),f873(x12073,x12072,x12074))
% 192.07/191.94 [1208]~E(x12081,x12082)+E(f873(x12083,x12084,x12081),f873(x12083,x12084,x12082))
% 192.07/191.94 [1209]~E(x12091,x12092)+E(f795(x12091,x12093,x12094),f795(x12092,x12093,x12094))
% 192.07/191.94 [1210]~E(x12101,x12102)+E(f795(x12103,x12101,x12104),f795(x12103,x12102,x12104))
% 192.07/191.94 [1211]~E(x12111,x12112)+E(f795(x12113,x12114,x12111),f795(x12113,x12114,x12112))
% 192.07/191.94 [1212]~E(x12121,x12122)+E(f442(x12121,x12123),f442(x12122,x12123))
% 192.07/191.94 [1213]~E(x12131,x12132)+E(f442(x12133,x12131),f442(x12133,x12132))
% 192.07/191.94 [1214]~E(x12141,x12142)+E(f195(x12141,x12143,x12144,x12145),f195(x12142,x12143,x12144,x12145))
% 192.07/191.94 [1215]~E(x12151,x12152)+E(f195(x12153,x12151,x12154,x12155),f195(x12153,x12152,x12154,x12155))
% 192.07/191.94 [1216]~E(x12161,x12162)+E(f195(x12163,x12164,x12161,x12165),f195(x12163,x12164,x12162,x12165))
% 192.07/191.94 [1217]~E(x12171,x12172)+E(f195(x12173,x12174,x12175,x12171),f195(x12173,x12174,x12175,x12172))
% 192.07/191.94 [1218]~E(x12181,x12182)+E(f365(x12181,x12183,x12184),f365(x12182,x12183,x12184))
% 192.07/191.94 [1219]~E(x12191,x12192)+E(f365(x12193,x12191,x12194),f365(x12193,x12192,x12194))
% 192.07/191.94 [1220]~E(x12201,x12202)+E(f365(x12203,x12204,x12201),f365(x12203,x12204,x12202))
% 192.07/191.94 [1221]~E(x12211,x12212)+E(f789(x12211,x12213),f789(x12212,x12213))
% 192.07/191.94 [1222]~E(x12221,x12222)+E(f789(x12223,x12221),f789(x12223,x12222))
% 192.07/191.94 [1223]~E(x12231,x12232)+E(f257(x12231),f257(x12232))
% 192.07/191.94 [1224]~E(x12241,x12242)+E(f198(x12241),f198(x12242))
% 192.07/191.94 [1225]~E(x12251,x12252)+E(f874(x12251,x12253,x12254),f874(x12252,x12253,x12254))
% 192.07/191.94 [1226]~E(x12261,x12262)+E(f874(x12263,x12261,x12264),f874(x12263,x12262,x12264))
% 192.07/191.94 [1227]~E(x12271,x12272)+E(f874(x12273,x12274,x12271),f874(x12273,x12274,x12272))
% 192.07/191.94 [1228]~E(x12281,x12282)+E(f189(x12281,x12283),f189(x12282,x12283))
% 192.07/191.94 [1229]~E(x12291,x12292)+E(f189(x12293,x12291),f189(x12293,x12292))
% 192.07/191.94 [1230]~E(x12301,x12302)+E(f444(x12301,x12303),f444(x12302,x12303))
% 192.07/191.94 [1231]~E(x12311,x12312)+E(f444(x12313,x12311),f444(x12313,x12312))
% 192.07/191.94 [1232]~E(x12321,x12322)+E(f119(x12321),f119(x12322))
% 192.07/191.94 [1233]~E(x12331,x12332)+E(f877(x12331,x12333,x12334,x12335),f877(x12332,x12333,x12334,x12335))
% 192.07/191.94 [1234]~E(x12341,x12342)+E(f877(x12343,x12341,x12344,x12345),f877(x12343,x12342,x12344,x12345))
% 192.07/191.94 [1235]~E(x12351,x12352)+E(f877(x12353,x12354,x12351,x12355),f877(x12353,x12354,x12352,x12355))
% 192.07/191.94 [1236]~E(x12361,x12362)+E(f877(x12363,x12364,x12365,x12361),f877(x12363,x12364,x12365,x12362))
% 192.07/191.94 [1237]~E(x12371,x12372)+E(f337(x12371,x12373),f337(x12372,x12373))
% 192.07/191.94 [1238]~E(x12381,x12382)+E(f337(x12383,x12381),f337(x12383,x12382))
% 192.07/191.94 [1239]~E(x12391,x12392)+E(f174(x12391,x12393,x12394),f174(x12392,x12393,x12394))
% 192.07/191.94 [1240]~E(x12401,x12402)+E(f174(x12403,x12401,x12404),f174(x12403,x12402,x12404))
% 192.07/191.94 [1241]~E(x12411,x12412)+E(f174(x12413,x12414,x12411),f174(x12413,x12414,x12412))
% 192.07/191.94 [1242]~E(x12421,x12422)+E(f651(x12421,x12423),f651(x12422,x12423))
% 192.07/191.94 [1243]~E(x12431,x12432)+E(f651(x12433,x12431),f651(x12433,x12432))
% 192.07/191.94 [1244]~E(x12441,x12442)+E(f607(x12441,x12443,x12444,x12445),f607(x12442,x12443,x12444,x12445))
% 192.07/191.94 [1245]~E(x12451,x12452)+E(f607(x12453,x12451,x12454,x12455),f607(x12453,x12452,x12454,x12455))
% 192.07/191.94 [1246]~E(x12461,x12462)+E(f607(x12463,x12464,x12461,x12465),f607(x12463,x12464,x12462,x12465))
% 192.07/191.94 [1247]~E(x12471,x12472)+E(f607(x12473,x12474,x12475,x12471),f607(x12473,x12474,x12475,x12472))
% 192.07/191.94 [1248]~E(x12481,x12482)+E(f707(x12481,x12483,x12484),f707(x12482,x12483,x12484))
% 192.07/191.94 [1249]~E(x12491,x12492)+E(f707(x12493,x12491,x12494),f707(x12493,x12492,x12494))
% 192.07/191.94 [1250]~E(x12501,x12502)+E(f707(x12503,x12504,x12501),f707(x12503,x12504,x12502))
% 192.07/191.94 [1251]~E(x12511,x12512)+E(f600(x12511,x12513,x12514),f600(x12512,x12513,x12514))
% 192.07/191.94 [1252]~E(x12521,x12522)+E(f600(x12523,x12521,x12524),f600(x12523,x12522,x12524))
% 192.07/191.94 [1253]~E(x12531,x12532)+E(f600(x12533,x12534,x12531),f600(x12533,x12534,x12532))
% 192.07/191.94 [1254]~E(x12541,x12542)+E(f546(x12541,x12543),f546(x12542,x12543))
% 192.07/191.94 [1255]~E(x12551,x12552)+E(f546(x12553,x12551),f546(x12553,x12552))
% 192.07/191.94 [1256]~E(x12561,x12562)+E(f693(x12561,x12563,x12564,x12565,x12566),f693(x12562,x12563,x12564,x12565,x12566))
% 192.07/191.94 [1257]~E(x12571,x12572)+E(f693(x12573,x12571,x12574,x12575,x12576),f693(x12573,x12572,x12574,x12575,x12576))
% 192.07/191.94 [1258]~E(x12581,x12582)+E(f693(x12583,x12584,x12581,x12585,x12586),f693(x12583,x12584,x12582,x12585,x12586))
% 192.07/191.94 [1259]~E(x12591,x12592)+E(f693(x12593,x12594,x12595,x12591,x12596),f693(x12593,x12594,x12595,x12592,x12596))
% 192.07/191.94 [1260]~E(x12601,x12602)+E(f693(x12603,x12604,x12605,x12606,x12601),f693(x12603,x12604,x12605,x12606,x12602))
% 192.07/191.94 [1261]~E(x12611,x12612)+E(f353(x12611,x12613,x12614,x12615),f353(x12612,x12613,x12614,x12615))
% 192.07/191.94 [1262]~E(x12621,x12622)+E(f353(x12623,x12621,x12624,x12625),f353(x12623,x12622,x12624,x12625))
% 192.07/191.94 [1263]~E(x12631,x12632)+E(f353(x12633,x12634,x12631,x12635),f353(x12633,x12634,x12632,x12635))
% 192.07/191.94 [1264]~E(x12641,x12642)+E(f353(x12643,x12644,x12645,x12641),f353(x12643,x12644,x12645,x12642))
% 192.07/191.94 [1265]~E(x12651,x12652)+E(f674(x12651,x12653,x12654,x12655,x12656,x12657),f674(x12652,x12653,x12654,x12655,x12656,x12657))
% 192.07/191.94 [1266]~E(x12661,x12662)+E(f674(x12663,x12661,x12664,x12665,x12666,x12667),f674(x12663,x12662,x12664,x12665,x12666,x12667))
% 192.07/191.94 [1267]~E(x12671,x12672)+E(f674(x12673,x12674,x12671,x12675,x12676,x12677),f674(x12673,x12674,x12672,x12675,x12676,x12677))
% 192.07/191.94 [1268]~E(x12681,x12682)+E(f674(x12683,x12684,x12685,x12681,x12686,x12687),f674(x12683,x12684,x12685,x12682,x12686,x12687))
% 192.07/191.94 [1269]~E(x12691,x12692)+E(f674(x12693,x12694,x12695,x12696,x12691,x12697),f674(x12693,x12694,x12695,x12696,x12692,x12697))
% 192.07/191.94 [1270]~E(x12701,x12702)+E(f674(x12703,x12704,x12705,x12706,x12707,x12701),f674(x12703,x12704,x12705,x12706,x12707,x12702))
% 192.07/191.94 [1271]~E(x12711,x12712)+E(f185(x12711,x12713,x12714,x12715),f185(x12712,x12713,x12714,x12715))
% 192.07/191.94 [1272]~E(x12721,x12722)+E(f185(x12723,x12721,x12724,x12725),f185(x12723,x12722,x12724,x12725))
% 192.07/191.94 [1273]~E(x12731,x12732)+E(f185(x12733,x12734,x12731,x12735),f185(x12733,x12734,x12732,x12735))
% 192.07/191.94 [1274]~E(x12741,x12742)+E(f185(x12743,x12744,x12745,x12741),f185(x12743,x12744,x12745,x12742))
% 192.07/191.94 [1275]~E(x12751,x12752)+E(f408(x12751,x12753,x12754,x12755),f408(x12752,x12753,x12754,x12755))
% 192.07/191.94 [1276]~E(x12761,x12762)+E(f408(x12763,x12761,x12764,x12765),f408(x12763,x12762,x12764,x12765))
% 192.07/191.94 [1277]~E(x12771,x12772)+E(f408(x12773,x12774,x12771,x12775),f408(x12773,x12774,x12772,x12775))
% 192.07/191.94 [1278]~E(x12781,x12782)+E(f408(x12783,x12784,x12785,x12781),f408(x12783,x12784,x12785,x12782))
% 192.07/191.94 [1279]~E(x12791,x12792)+E(f163(x12791,x12793,x12794),f163(x12792,x12793,x12794))
% 192.07/191.94 [1280]~E(x12801,x12802)+E(f163(x12803,x12801,x12804),f163(x12803,x12802,x12804))
% 192.07/191.94 [1281]~E(x12811,x12812)+E(f163(x12813,x12814,x12811),f163(x12813,x12814,x12812))
% 192.07/191.94 [1282]~E(x12821,x12822)+E(f342(x12821,x12823,x12824,x12825),f342(x12822,x12823,x12824,x12825))
% 192.07/191.94 [1283]~E(x12831,x12832)+E(f342(x12833,x12831,x12834,x12835),f342(x12833,x12832,x12834,x12835))
% 192.07/191.94 [1284]~E(x12841,x12842)+E(f342(x12843,x12844,x12841,x12845),f342(x12843,x12844,x12842,x12845))
% 192.07/191.94 [1285]~E(x12851,x12852)+E(f342(x12853,x12854,x12855,x12851),f342(x12853,x12854,x12855,x12852))
% 192.07/191.94 [1286]~E(x12861,x12862)+E(f878(x12861,x12863,x12864),f878(x12862,x12863,x12864))
% 192.07/191.94 [1287]~E(x12871,x12872)+E(f878(x12873,x12871,x12874),f878(x12873,x12872,x12874))
% 192.07/191.94 [1288]~E(x12881,x12882)+E(f878(x12883,x12884,x12881),f878(x12883,x12884,x12882))
% 192.07/191.94 [1289]~E(x12891,x12892)+E(f842(x12891,x12893,x12894,x12895,x12896,x12897),f842(x12892,x12893,x12894,x12895,x12896,x12897))
% 192.07/191.94 [1290]~E(x12901,x12902)+E(f842(x12903,x12901,x12904,x12905,x12906,x12907),f842(x12903,x12902,x12904,x12905,x12906,x12907))
% 192.07/191.94 [1291]~E(x12911,x12912)+E(f842(x12913,x12914,x12911,x12915,x12916,x12917),f842(x12913,x12914,x12912,x12915,x12916,x12917))
% 192.07/191.94 [1292]~E(x12921,x12922)+E(f842(x12923,x12924,x12925,x12921,x12926,x12927),f842(x12923,x12924,x12925,x12922,x12926,x12927))
% 192.07/191.94 [1293]~E(x12931,x12932)+E(f842(x12933,x12934,x12935,x12936,x12931,x12937),f842(x12933,x12934,x12935,x12936,x12932,x12937))
% 192.07/191.94 [1294]~E(x12941,x12942)+E(f842(x12943,x12944,x12945,x12946,x12947,x12941),f842(x12943,x12944,x12945,x12946,x12947,x12942))
% 192.07/191.94 [1295]~E(x12951,x12952)+E(f610(x12951,x12953,x12954,x12955,x12956),f610(x12952,x12953,x12954,x12955,x12956))
% 192.07/191.94 [1296]~E(x12961,x12962)+E(f610(x12963,x12961,x12964,x12965,x12966),f610(x12963,x12962,x12964,x12965,x12966))
% 192.07/191.94 [1297]~E(x12971,x12972)+E(f610(x12973,x12974,x12971,x12975,x12976),f610(x12973,x12974,x12972,x12975,x12976))
% 192.07/191.94 [1298]~E(x12981,x12982)+E(f610(x12983,x12984,x12985,x12981,x12986),f610(x12983,x12984,x12985,x12982,x12986))
% 192.07/191.94 [1299]~E(x12991,x12992)+E(f610(x12993,x12994,x12995,x12996,x12991),f610(x12993,x12994,x12995,x12996,x12992))
% 192.07/191.94 [1300]~E(x13001,x13002)+E(f601(x13001,x13003,x13004,x13005),f601(x13002,x13003,x13004,x13005))
% 192.07/191.94 [1301]~E(x13011,x13012)+E(f601(x13013,x13011,x13014,x13015),f601(x13013,x13012,x13014,x13015))
% 192.07/191.94 [1302]~E(x13021,x13022)+E(f601(x13023,x13024,x13021,x13025),f601(x13023,x13024,x13022,x13025))
% 192.07/191.94 [1303]~E(x13031,x13032)+E(f601(x13033,x13034,x13035,x13031),f601(x13033,x13034,x13035,x13032))
% 192.07/191.94 [1304]~E(x13041,x13042)+E(f82(x13041),f82(x13042))
% 192.07/191.94 [1305]~E(x13051,x13052)+E(f212(x13051,x13053,x13054),f212(x13052,x13053,x13054))
% 192.07/191.94 [1306]~E(x13061,x13062)+E(f212(x13063,x13061,x13064),f212(x13063,x13062,x13064))
% 192.07/191.94 [1307]~E(x13071,x13072)+E(f212(x13073,x13074,x13071),f212(x13073,x13074,x13072))
% 192.07/191.94 [1308]~E(x13081,x13082)+E(f613(x13081,x13083,x13084),f613(x13082,x13083,x13084))
% 192.07/191.94 [1309]~E(x13091,x13092)+E(f613(x13093,x13091,x13094),f613(x13093,x13092,x13094))
% 192.07/191.94 [1310]~E(x13101,x13102)+E(f613(x13103,x13104,x13101),f613(x13103,x13104,x13102))
% 192.07/191.94 [1311]~E(x13111,x13112)+E(f883(x13111,x13113,x13114),f883(x13112,x13113,x13114))
% 192.07/191.94 [1312]~E(x13121,x13122)+E(f883(x13123,x13121,x13124),f883(x13123,x13122,x13124))
% 192.07/191.94 [1313]~E(x13131,x13132)+E(f883(x13133,x13134,x13131),f883(x13133,x13134,x13132))
% 192.07/191.94 [1314]~E(x13141,x13142)+E(f191(x13141),f191(x13142))
% 192.07/191.94 [1315]~E(x13151,x13152)+E(f333(x13151,x13153,x13154,x13155),f333(x13152,x13153,x13154,x13155))
% 192.07/191.94 [1316]~E(x13161,x13162)+E(f333(x13163,x13161,x13164,x13165),f333(x13163,x13162,x13164,x13165))
% 192.07/191.94 [1317]~E(x13171,x13172)+E(f333(x13173,x13174,x13171,x13175),f333(x13173,x13174,x13172,x13175))
% 192.07/191.94 [1318]~E(x13181,x13182)+E(f333(x13183,x13184,x13185,x13181),f333(x13183,x13184,x13185,x13182))
% 192.07/191.94 [1319]~E(x13191,x13192)+E(f611(x13191,x13193,x13194),f611(x13192,x13193,x13194))
% 192.07/191.94 [1320]~E(x13201,x13202)+E(f611(x13203,x13201,x13204),f611(x13203,x13202,x13204))
% 192.07/191.94 [1321]~E(x13211,x13212)+E(f611(x13213,x13214,x13211),f611(x13213,x13214,x13212))
% 192.07/191.94 [1322]~E(x13221,x13222)+E(f771(x13221,x13223,x13224,x13225),f771(x13222,x13223,x13224,x13225))
% 192.07/191.94 [1323]~E(x13231,x13232)+E(f771(x13233,x13231,x13234,x13235),f771(x13233,x13232,x13234,x13235))
% 192.07/191.94 [1324]~E(x13241,x13242)+E(f771(x13243,x13244,x13241,x13245),f771(x13243,x13244,x13242,x13245))
% 192.07/191.94 [1325]~E(x13251,x13252)+E(f771(x13253,x13254,x13255,x13251),f771(x13253,x13254,x13255,x13252))
% 192.07/191.94 [1326]~E(x13261,x13262)+E(f51(x13261,x13263,x13264),f51(x13262,x13263,x13264))
% 192.07/191.94 [1327]~E(x13271,x13272)+E(f51(x13273,x13271,x13274),f51(x13273,x13272,x13274))
% 192.07/191.94 [1328]~E(x13281,x13282)+E(f51(x13283,x13284,x13281),f51(x13283,x13284,x13282))
% 192.07/191.94 [1329]~E(x13291,x13292)+E(f631(x13291,x13293,x13294),f631(x13292,x13293,x13294))
% 192.07/191.94 [1330]~E(x13301,x13302)+E(f631(x13303,x13301,x13304),f631(x13303,x13302,x13304))
% 192.07/191.94 [1331]~E(x13311,x13312)+E(f631(x13313,x13314,x13311),f631(x13313,x13314,x13312))
% 192.07/191.94 [1332]~E(x13321,x13322)+E(f643(x13321,x13323),f643(x13322,x13323))
% 192.07/191.94 [1333]~E(x13331,x13332)+E(f643(x13333,x13331),f643(x13333,x13332))
% 192.07/191.94 [1334]~E(x13341,x13342)+E(f188(x13341,x13343,x13344,x13345),f188(x13342,x13343,x13344,x13345))
% 192.07/191.94 [1335]~E(x13351,x13352)+E(f188(x13353,x13351,x13354,x13355),f188(x13353,x13352,x13354,x13355))
% 192.07/191.94 [1336]~E(x13361,x13362)+E(f188(x13363,x13364,x13361,x13365),f188(x13363,x13364,x13362,x13365))
% 192.07/191.94 [1337]~E(x13371,x13372)+E(f188(x13373,x13374,x13375,x13371),f188(x13373,x13374,x13375,x13372))
% 192.07/191.94 [1338]~E(x13381,x13382)+E(f804(x13381,x13383,x13384),f804(x13382,x13383,x13384))
% 192.07/191.94 [1339]~E(x13391,x13392)+E(f804(x13393,x13391,x13394),f804(x13393,x13392,x13394))
% 192.07/191.94 [1340]~E(x13401,x13402)+E(f804(x13403,x13404,x13401),f804(x13403,x13404,x13402))
% 192.07/191.94 [1341]~E(x13411,x13412)+E(f753(x13411,x13413,x13414,x13415),f753(x13412,x13413,x13414,x13415))
% 192.07/191.94 [1342]~E(x13421,x13422)+E(f753(x13423,x13421,x13424,x13425),f753(x13423,x13422,x13424,x13425))
% 192.07/191.94 [1343]~E(x13431,x13432)+E(f753(x13433,x13434,x13431,x13435),f753(x13433,x13434,x13432,x13435))
% 192.07/191.94 [1344]~E(x13441,x13442)+E(f753(x13443,x13444,x13445,x13441),f753(x13443,x13444,x13445,x13442))
% 192.07/191.94 [1345]~E(x13451,x13452)+E(f540(x13451,x13453,x13454,x13455,x13456,x13457),f540(x13452,x13453,x13454,x13455,x13456,x13457))
% 192.07/191.94 [1346]~E(x13461,x13462)+E(f540(x13463,x13461,x13464,x13465,x13466,x13467),f540(x13463,x13462,x13464,x13465,x13466,x13467))
% 192.07/191.94 [1347]~E(x13471,x13472)+E(f540(x13473,x13474,x13471,x13475,x13476,x13477),f540(x13473,x13474,x13472,x13475,x13476,x13477))
% 192.07/191.94 [1348]~E(x13481,x13482)+E(f540(x13483,x13484,x13485,x13481,x13486,x13487),f540(x13483,x13484,x13485,x13482,x13486,x13487))
% 192.07/191.94 [1349]~E(x13491,x13492)+E(f540(x13493,x13494,x13495,x13496,x13491,x13497),f540(x13493,x13494,x13495,x13496,x13492,x13497))
% 192.07/191.94 [1350]~E(x13501,x13502)+E(f540(x13503,x13504,x13505,x13506,x13507,x13501),f540(x13503,x13504,x13505,x13506,x13507,x13502))
% 192.07/191.94 [1351]~E(x13511,x13512)+E(f481(x13511,x13513,x13514,x13515,x13516),f481(x13512,x13513,x13514,x13515,x13516))
% 192.07/191.94 [1352]~E(x13521,x13522)+E(f481(x13523,x13521,x13524,x13525,x13526),f481(x13523,x13522,x13524,x13525,x13526))
% 192.07/191.94 [1353]~E(x13531,x13532)+E(f481(x13533,x13534,x13531,x13535,x13536),f481(x13533,x13534,x13532,x13535,x13536))
% 192.07/191.94 [1354]~E(x13541,x13542)+E(f481(x13543,x13544,x13545,x13541,x13546),f481(x13543,x13544,x13545,x13542,x13546))
% 192.07/191.94 [1355]~E(x13551,x13552)+E(f481(x13553,x13554,x13555,x13556,x13551),f481(x13553,x13554,x13555,x13556,x13552))
% 192.07/191.94 [1356]~E(x13561,x13562)+E(f334(x13561,x13563,x13564,x13565),f334(x13562,x13563,x13564,x13565))
% 192.07/191.94 [1357]~E(x13571,x13572)+E(f334(x13573,x13571,x13574,x13575),f334(x13573,x13572,x13574,x13575))
% 192.07/191.94 [1358]~E(x13581,x13582)+E(f334(x13583,x13584,x13581,x13585),f334(x13583,x13584,x13582,x13585))
% 192.07/191.94 [1359]~E(x13591,x13592)+E(f334(x13593,x13594,x13595,x13591),f334(x13593,x13594,x13595,x13592))
% 192.07/191.94 [1360]~E(x13601,x13602)+E(f566(x13601,x13603,x13604,x13605,x13606),f566(x13602,x13603,x13604,x13605,x13606))
% 192.07/191.94 [1361]~E(x13611,x13612)+E(f566(x13613,x13611,x13614,x13615,x13616),f566(x13613,x13612,x13614,x13615,x13616))
% 192.07/191.94 [1362]~E(x13621,x13622)+E(f566(x13623,x13624,x13621,x13625,x13626),f566(x13623,x13624,x13622,x13625,x13626))
% 192.07/191.94 [1363]~E(x13631,x13632)+E(f566(x13633,x13634,x13635,x13631,x13636),f566(x13633,x13634,x13635,x13632,x13636))
% 192.07/191.94 [1364]~E(x13641,x13642)+E(f566(x13643,x13644,x13645,x13646,x13641),f566(x13643,x13644,x13645,x13646,x13642))
% 192.07/191.94 [1365]~E(x13651,x13652)+E(f394(x13651,x13653,x13654),f394(x13652,x13653,x13654))
% 192.07/191.94 [1366]~E(x13661,x13662)+E(f394(x13663,x13661,x13664),f394(x13663,x13662,x13664))
% 192.07/191.94 [1367]~E(x13671,x13672)+E(f394(x13673,x13674,x13671),f394(x13673,x13674,x13672))
% 192.07/191.94 [1368]~E(x13681,x13682)+E(f184(x13681,x13683),f184(x13682,x13683))
% 192.07/191.94 [1369]~E(x13691,x13692)+E(f184(x13693,x13691),f184(x13693,x13692))
% 192.07/191.94 [1370]~E(x13701,x13702)+E(f562(x13701,x13703,x13704),f562(x13702,x13703,x13704))
% 192.07/191.94 [1371]~E(x13711,x13712)+E(f562(x13713,x13711,x13714),f562(x13713,x13712,x13714))
% 192.07/191.94 [1372]~E(x13721,x13722)+E(f562(x13723,x13724,x13721),f562(x13723,x13724,x13722))
% 192.07/191.94 [1373]~E(x13731,x13732)+E(f354(x13731,x13733,x13734,x13735),f354(x13732,x13733,x13734,x13735))
% 192.07/191.94 [1374]~E(x13741,x13742)+E(f354(x13743,x13741,x13744,x13745),f354(x13743,x13742,x13744,x13745))
% 192.07/191.94 [1375]~E(x13751,x13752)+E(f354(x13753,x13754,x13751,x13755),f354(x13753,x13754,x13752,x13755))
% 192.07/191.94 [1376]~E(x13761,x13762)+E(f354(x13763,x13764,x13765,x13761),f354(x13763,x13764,x13765,x13762))
% 192.07/191.94 [1377]~E(x13771,x13772)+E(f880(x13771,x13773,x13774),f880(x13772,x13773,x13774))
% 192.07/191.94 [1378]~E(x13781,x13782)+E(f880(x13783,x13781,x13784),f880(x13783,x13782,x13784))
% 192.07/191.94 [1379]~E(x13791,x13792)+E(f880(x13793,x13794,x13791),f880(x13793,x13794,x13792))
% 192.07/191.94 [1380]~E(x13801,x13802)+E(f585(x13801,x13803,x13804),f585(x13802,x13803,x13804))
% 192.07/191.94 [1381]~E(x13811,x13812)+E(f585(x13813,x13811,x13814),f585(x13813,x13812,x13814))
% 192.07/191.94 [1382]~E(x13821,x13822)+E(f585(x13823,x13824,x13821),f585(x13823,x13824,x13822))
% 192.07/191.94 [1383]~E(x13831,x13832)+E(f323(x13831,x13833),f323(x13832,x13833))
% 192.07/191.94 [1384]~E(x13841,x13842)+E(f323(x13843,x13841),f323(x13843,x13842))
% 192.07/191.94 [1385]~E(x13851,x13852)+E(f816(x13851,x13853,x13854,x13855,x13856),f816(x13852,x13853,x13854,x13855,x13856))
% 192.07/191.94 [1386]~E(x13861,x13862)+E(f816(x13863,x13861,x13864,x13865,x13866),f816(x13863,x13862,x13864,x13865,x13866))
% 192.07/191.94 [1387]~E(x13871,x13872)+E(f816(x13873,x13874,x13871,x13875,x13876),f816(x13873,x13874,x13872,x13875,x13876))
% 192.07/191.94 [1388]~E(x13881,x13882)+E(f816(x13883,x13884,x13885,x13881,x13886),f816(x13883,x13884,x13885,x13882,x13886))
% 192.07/191.94 [1389]~E(x13891,x13892)+E(f816(x13893,x13894,x13895,x13896,x13891),f816(x13893,x13894,x13895,x13896,x13892))
% 192.07/191.94 [1390]~E(x13901,x13902)+E(f697(x13901,x13903,x13904),f697(x13902,x13903,x13904))
% 192.07/191.94 [1391]~E(x13911,x13912)+E(f697(x13913,x13911,x13914),f697(x13913,x13912,x13914))
% 192.07/191.94 [1392]~E(x13921,x13922)+E(f697(x13923,x13924,x13921),f697(x13923,x13924,x13922))
% 192.07/191.94 [1393]~E(x13931,x13932)+E(f421(x13931,x13933,x13934,x13935,x13936,x13937),f421(x13932,x13933,x13934,x13935,x13936,x13937))
% 192.07/191.94 [1394]~E(x13941,x13942)+E(f421(x13943,x13941,x13944,x13945,x13946,x13947),f421(x13943,x13942,x13944,x13945,x13946,x13947))
% 192.07/191.94 [1395]~E(x13951,x13952)+E(f421(x13953,x13954,x13951,x13955,x13956,x13957),f421(x13953,x13954,x13952,x13955,x13956,x13957))
% 192.07/191.94 [1396]~E(x13961,x13962)+E(f421(x13963,x13964,x13965,x13961,x13966,x13967),f421(x13963,x13964,x13965,x13962,x13966,x13967))
% 192.07/191.94 [1397]~E(x13971,x13972)+E(f421(x13973,x13974,x13975,x13976,x13971,x13977),f421(x13973,x13974,x13975,x13976,x13972,x13977))
% 192.07/191.94 [1398]~E(x13981,x13982)+E(f421(x13983,x13984,x13985,x13986,x13987,x13981),f421(x13983,x13984,x13985,x13986,x13987,x13982))
% 192.07/191.94 [1399]~E(x13991,x13992)+E(f258(x13991,x13993),f258(x13992,x13993))
% 192.07/191.94 [1400]~E(x14001,x14002)+E(f258(x14003,x14001),f258(x14003,x14002))
% 192.07/191.94 [1401]~E(x14011,x14012)+E(f192(x14011,x14013),f192(x14012,x14013))
% 192.07/191.94 [1402]~E(x14021,x14022)+E(f192(x14023,x14021),f192(x14023,x14022))
% 192.07/191.94 [1403]~E(x14031,x14032)+E(f779(x14031,x14033),f779(x14032,x14033))
% 192.07/191.94 [1404]~E(x14041,x14042)+E(f779(x14043,x14041),f779(x14043,x14042))
% 192.07/191.94 [1405]~E(x14051,x14052)+E(f706(x14051,x14053),f706(x14052,x14053))
% 192.07/191.94 [1406]~E(x14061,x14062)+E(f706(x14063,x14061),f706(x14063,x14062))
% 192.07/191.94 [1407]~E(x14071,x14072)+E(f112(x14071,x14073,x14074,x14075),f112(x14072,x14073,x14074,x14075))
% 192.07/191.94 [1408]~E(x14081,x14082)+E(f112(x14083,x14081,x14084,x14085),f112(x14083,x14082,x14084,x14085))
% 192.07/191.94 [1409]~E(x14091,x14092)+E(f112(x14093,x14094,x14091,x14095),f112(x14093,x14094,x14092,x14095))
% 192.07/191.94 [1410]~E(x14101,x14102)+E(f112(x14103,x14104,x14105,x14101),f112(x14103,x14104,x14105,x14102))
% 192.07/191.94 [1411]~E(x14111,x14112)+E(f784(x14111,x14113),f784(x14112,x14113))
% 192.07/191.94 [1412]~E(x14121,x14122)+E(f784(x14123,x14121),f784(x14123,x14122))
% 192.07/191.94 [1413]~E(x14131,x14132)+E(f736(x14131,x14133),f736(x14132,x14133))
% 192.07/191.94 [1414]~E(x14141,x14142)+E(f736(x14143,x14141),f736(x14143,x14142))
% 192.07/191.94 [1415]~E(x14151,x14152)+E(f341(x14151,x14153),f341(x14152,x14153))
% 192.07/191.94 [1416]~E(x14161,x14162)+E(f341(x14163,x14161),f341(x14163,x14162))
% 192.07/191.94 [1417]~E(x14171,x14172)+E(f262(x14171,x14173),f262(x14172,x14173))
% 192.07/191.94 [1418]~E(x14181,x14182)+E(f262(x14183,x14181),f262(x14183,x14182))
% 192.07/191.94 [1419]~E(x14191,x14192)+E(f872(x14191,x14193,x14194),f872(x14192,x14193,x14194))
% 192.07/191.94 [1420]~E(x14201,x14202)+E(f872(x14203,x14201,x14204),f872(x14203,x14202,x14204))
% 192.07/191.94 [1421]~E(x14211,x14212)+E(f872(x14213,x14214,x14211),f872(x14213,x14214,x14212))
% 192.07/191.94 [1422]~E(x14221,x14222)+E(f464(x14221,x14223,x14224),f464(x14222,x14223,x14224))
% 192.07/191.94 [1423]~E(x14231,x14232)+E(f464(x14233,x14231,x14234),f464(x14233,x14232,x14234))
% 192.07/191.94 [1424]~E(x14241,x14242)+E(f464(x14243,x14244,x14241),f464(x14243,x14244,x14242))
% 192.07/191.94 [1425]~E(x14251,x14252)+E(f599(x14251,x14253,x14254),f599(x14252,x14253,x14254))
% 192.07/191.94 [1426]~E(x14261,x14262)+E(f599(x14263,x14261,x14264),f599(x14263,x14262,x14264))
% 192.07/191.94 [1427]~E(x14271,x14272)+E(f599(x14273,x14274,x14271),f599(x14273,x14274,x14272))
% 192.07/191.94 [1428]~E(x14281,x14282)+E(f541(x14281,x14283,x14284,x14285,x14286,x14287),f541(x14282,x14283,x14284,x14285,x14286,x14287))
% 192.07/191.94 [1429]~E(x14291,x14292)+E(f541(x14293,x14291,x14294,x14295,x14296,x14297),f541(x14293,x14292,x14294,x14295,x14296,x14297))
% 192.07/191.94 [1430]~E(x14301,x14302)+E(f541(x14303,x14304,x14301,x14305,x14306,x14307),f541(x14303,x14304,x14302,x14305,x14306,x14307))
% 192.07/191.94 [1431]~E(x14311,x14312)+E(f541(x14313,x14314,x14315,x14311,x14316,x14317),f541(x14313,x14314,x14315,x14312,x14316,x14317))
% 192.07/191.94 [1432]~E(x14321,x14322)+E(f541(x14323,x14324,x14325,x14326,x14321,x14327),f541(x14323,x14324,x14325,x14326,x14322,x14327))
% 192.07/191.94 [1433]~E(x14331,x14332)+E(f541(x14333,x14334,x14335,x14336,x14337,x14331),f541(x14333,x14334,x14335,x14336,x14337,x14332))
% 192.07/191.94 [1434]~E(x14341,x14342)+E(f415(x14341,x14343,x14344),f415(x14342,x14343,x14344))
% 192.07/191.94 [1435]~E(x14351,x14352)+E(f415(x14353,x14351,x14354),f415(x14353,x14352,x14354))
% 192.07/191.94 [1436]~E(x14361,x14362)+E(f415(x14363,x14364,x14361),f415(x14363,x14364,x14362))
% 192.07/191.94 [1437]~E(x14371,x14372)+E(f710(x14371,x14373,x14374),f710(x14372,x14373,x14374))
% 192.07/191.94 [1438]~E(x14381,x14382)+E(f710(x14383,x14381,x14384),f710(x14383,x14382,x14384))
% 192.07/191.94 [1439]~E(x14391,x14392)+E(f710(x14393,x14394,x14391),f710(x14393,x14394,x14392))
% 192.07/191.94 [1440]~E(x14401,x14402)+E(f594(x14401,x14403,x14404),f594(x14402,x14403,x14404))
% 192.07/191.94 [1441]~E(x14411,x14412)+E(f594(x14413,x14411,x14414),f594(x14413,x14412,x14414))
% 192.07/191.94 [1442]~E(x14421,x14422)+E(f594(x14423,x14424,x14421),f594(x14423,x14424,x14422))
% 192.07/191.94 [1443]~E(x14431,x14432)+E(f364(x14431,x14433),f364(x14432,x14433))
% 192.07/191.94 [1444]~E(x14441,x14442)+E(f364(x14443,x14441),f364(x14443,x14442))
% 192.07/191.94 [1445]~E(x14451,x14452)+E(f393(x14451,x14453,x14454),f393(x14452,x14453,x14454))
% 192.07/191.94 [1446]~E(x14461,x14462)+E(f393(x14463,x14461,x14464),f393(x14463,x14462,x14464))
% 192.07/191.94 [1447]~E(x14471,x14472)+E(f393(x14473,x14474,x14471),f393(x14473,x14474,x14472))
% 192.07/191.94 [1448]~E(x14481,x14482)+E(f623(x14481,x14483,x14484,x14485),f623(x14482,x14483,x14484,x14485))
% 192.07/191.94 [1449]~E(x14491,x14492)+E(f623(x14493,x14491,x14494,x14495),f623(x14493,x14492,x14494,x14495))
% 192.07/191.94 [1450]~E(x14501,x14502)+E(f623(x14503,x14504,x14501,x14505),f623(x14503,x14504,x14502,x14505))
% 192.07/191.94 [1451]~E(x14511,x14512)+E(f623(x14513,x14514,x14515,x14511),f623(x14513,x14514,x14515,x14512))
% 192.07/191.94 [1452]~E(x14521,x14522)+E(f687(x14521,x14523,x14524,x14525,x14526),f687(x14522,x14523,x14524,x14525,x14526))
% 192.07/191.94 [1453]~E(x14531,x14532)+E(f687(x14533,x14531,x14534,x14535,x14536),f687(x14533,x14532,x14534,x14535,x14536))
% 192.07/191.94 [1454]~E(x14541,x14542)+E(f687(x14543,x14544,x14541,x14545,x14546),f687(x14543,x14544,x14542,x14545,x14546))
% 192.07/191.94 [1455]~E(x14551,x14552)+E(f687(x14553,x14554,x14555,x14551,x14556),f687(x14553,x14554,x14555,x14552,x14556))
% 192.07/191.94 [1456]~E(x14561,x14562)+E(f687(x14563,x14564,x14565,x14566,x14561),f687(x14563,x14564,x14565,x14566,x14562))
% 192.07/191.94 [1457]~E(x14571,x14572)+E(f583(x14571,x14573,x14574),f583(x14572,x14573,x14574))
% 192.07/191.94 [1458]~E(x14581,x14582)+E(f583(x14583,x14581,x14584),f583(x14583,x14582,x14584))
% 192.07/191.94 [1459]~E(x14591,x14592)+E(f583(x14593,x14594,x14591),f583(x14593,x14594,x14592))
% 192.07/191.94 [1460]~E(x14601,x14602)+E(f533(x14601),f533(x14602))
% 192.07/191.94 [1461]~E(x14611,x14612)+E(f466(x14611,x14613,x14614),f466(x14612,x14613,x14614))
% 192.07/191.94 [1462]~E(x14621,x14622)+E(f466(x14623,x14621,x14624),f466(x14623,x14622,x14624))
% 192.07/191.94 [1463]~E(x14631,x14632)+E(f466(x14633,x14634,x14631),f466(x14633,x14634,x14632))
% 192.07/191.94 [1464]~E(x14641,x14642)+E(f57(x14641,x14643,x14644),f57(x14642,x14643,x14644))
% 192.07/191.94 [1465]~E(x14651,x14652)+E(f57(x14653,x14651,x14654),f57(x14653,x14652,x14654))
% 192.07/191.94 [1466]~E(x14661,x14662)+E(f57(x14663,x14664,x14661),f57(x14663,x14664,x14662))
% 192.07/191.94 [1467]~E(x14671,x14672)+E(f556(x14671,x14673),f556(x14672,x14673))
% 192.07/191.94 [1468]~E(x14681,x14682)+E(f556(x14683,x14681),f556(x14683,x14682))
% 192.07/191.94 [1469]~E(x14691,x14692)+E(f592(x14691,x14693,x14694,x14695),f592(x14692,x14693,x14694,x14695))
% 192.07/191.94 [1470]~E(x14701,x14702)+E(f592(x14703,x14701,x14704,x14705),f592(x14703,x14702,x14704,x14705))
% 192.07/191.94 [1471]~E(x14711,x14712)+E(f592(x14713,x14714,x14711,x14715),f592(x14713,x14714,x14712,x14715))
% 192.07/191.94 [1472]~E(x14721,x14722)+E(f592(x14723,x14724,x14725,x14721),f592(x14723,x14724,x14725,x14722))
% 192.07/191.94 [1473]~E(x14731,x14732)+E(f567(x14731,x14733,x14734,x14735),f567(x14732,x14733,x14734,x14735))
% 192.07/191.94 [1474]~E(x14741,x14742)+E(f567(x14743,x14741,x14744,x14745),f567(x14743,x14742,x14744,x14745))
% 192.07/191.94 [1475]~E(x14751,x14752)+E(f567(x14753,x14754,x14751,x14755),f567(x14753,x14754,x14752,x14755))
% 192.07/191.94 [1476]~E(x14761,x14762)+E(f567(x14763,x14764,x14765,x14761),f567(x14763,x14764,x14765,x14762))
% 192.07/191.94 [1477]~E(x14771,x14772)+E(f474(x14771,x14773,x14774),f474(x14772,x14773,x14774))
% 192.07/191.94 [1478]~E(x14781,x14782)+E(f474(x14783,x14781,x14784),f474(x14783,x14782,x14784))
% 192.07/191.94 [1479]~E(x14791,x14792)+E(f474(x14793,x14794,x14791),f474(x14793,x14794,x14792))
% 192.07/191.94 [1480]~E(x14801,x14802)+E(f575(x14801,x14803,x14804,x14805,x14806),f575(x14802,x14803,x14804,x14805,x14806))
% 192.07/191.94 [1481]~E(x14811,x14812)+E(f575(x14813,x14811,x14814,x14815,x14816),f575(x14813,x14812,x14814,x14815,x14816))
% 192.07/191.94 [1482]~E(x14821,x14822)+E(f575(x14823,x14824,x14821,x14825,x14826),f575(x14823,x14824,x14822,x14825,x14826))
% 192.07/191.94 [1483]~E(x14831,x14832)+E(f575(x14833,x14834,x14835,x14831,x14836),f575(x14833,x14834,x14835,x14832,x14836))
% 192.07/191.94 [1484]~E(x14841,x14842)+E(f575(x14843,x14844,x14845,x14846,x14841),f575(x14843,x14844,x14845,x14846,x14842))
% 192.07/191.94 [1485]~E(x14851,x14852)+E(f267(x14851,x14853,x14854,x14855),f267(x14852,x14853,x14854,x14855))
% 192.07/191.94 [1486]~E(x14861,x14862)+E(f267(x14863,x14861,x14864,x14865),f267(x14863,x14862,x14864,x14865))
% 192.07/191.94 [1487]~E(x14871,x14872)+E(f267(x14873,x14874,x14871,x14875),f267(x14873,x14874,x14872,x14875))
% 192.07/191.94 [1488]~E(x14881,x14882)+E(f267(x14883,x14884,x14885,x14881),f267(x14883,x14884,x14885,x14882))
% 192.07/191.94 [1489]~E(x14891,x14892)+E(f164(x14891,x14893,x14894),f164(x14892,x14893,x14894))
% 192.07/191.94 [1490]~E(x14901,x14902)+E(f164(x14903,x14901,x14904),f164(x14903,x14902,x14904))
% 192.07/191.94 [1491]~E(x14911,x14912)+E(f164(x14913,x14914,x14911),f164(x14913,x14914,x14912))
% 192.07/191.94 [1492]~E(x14921,x14922)+E(f49(x14921,x14923),f49(x14922,x14923))
% 192.07/191.94 [1493]~E(x14931,x14932)+E(f49(x14933,x14931),f49(x14933,x14932))
% 192.07/191.94 [1494]~E(x14941,x14942)+E(f451(x14941,x14943),f451(x14942,x14943))
% 192.07/191.94 [1495]~E(x14951,x14952)+E(f451(x14953,x14951),f451(x14953,x14952))
% 192.07/191.94 [1496]~E(x14961,x14962)+E(f708(x14961,x14963,x14964,x14965,x14966),f708(x14962,x14963,x14964,x14965,x14966))
% 192.07/191.94 [1497]~E(x14971,x14972)+E(f708(x14973,x14971,x14974,x14975,x14976),f708(x14973,x14972,x14974,x14975,x14976))
% 192.07/191.94 [1498]~E(x14981,x14982)+E(f708(x14983,x14984,x14981,x14985,x14986),f708(x14983,x14984,x14982,x14985,x14986))
% 192.07/191.94 [1499]~E(x14991,x14992)+E(f708(x14993,x14994,x14995,x14991,x14996),f708(x14993,x14994,x14995,x14992,x14996))
% 192.07/191.94 [1500]~E(x15001,x15002)+E(f708(x15003,x15004,x15005,x15006,x15001),f708(x15003,x15004,x15005,x15006,x15002))
% 192.07/191.94 [1501]~E(x15011,x15012)+E(f730(x15011,x15013,x15014,x15015,x15016),f730(x15012,x15013,x15014,x15015,x15016))
% 192.07/191.94 [1502]~E(x15021,x15022)+E(f730(x15023,x15021,x15024,x15025,x15026),f730(x15023,x15022,x15024,x15025,x15026))
% 192.07/191.94 [1503]~E(x15031,x15032)+E(f730(x15033,x15034,x15031,x15035,x15036),f730(x15033,x15034,x15032,x15035,x15036))
% 192.07/191.94 [1504]~E(x15041,x15042)+E(f730(x15043,x15044,x15045,x15041,x15046),f730(x15043,x15044,x15045,x15042,x15046))
% 192.07/191.94 [1505]~E(x15051,x15052)+E(f730(x15053,x15054,x15055,x15056,x15051),f730(x15053,x15054,x15055,x15056,x15052))
% 192.07/191.94 [1506]~E(x15061,x15062)+E(f505(x15061,x15063,x15064,x15065),f505(x15062,x15063,x15064,x15065))
% 192.07/191.94 [1507]~E(x15071,x15072)+E(f505(x15073,x15071,x15074,x15075),f505(x15073,x15072,x15074,x15075))
% 192.07/191.94 [1508]~E(x15081,x15082)+E(f505(x15083,x15084,x15081,x15085),f505(x15083,x15084,x15082,x15085))
% 192.07/191.94 [1509]~E(x15091,x15092)+E(f505(x15093,x15094,x15095,x15091),f505(x15093,x15094,x15095,x15092))
% 192.07/191.94 [1510]~E(x15101,x15102)+E(f239(x15101,x15103,x15104),f239(x15102,x15103,x15104))
% 192.07/191.94 [1511]~E(x15111,x15112)+E(f239(x15113,x15111,x15114),f239(x15113,x15112,x15114))
% 192.07/191.94 [1512]~E(x15121,x15122)+E(f239(x15123,x15124,x15121),f239(x15123,x15124,x15122))
% 192.07/191.94 [1513]~E(x15131,x15132)+E(f625(x15131,x15133),f625(x15132,x15133))
% 192.07/191.94 [1514]~E(x15141,x15142)+E(f625(x15143,x15141),f625(x15143,x15142))
% 192.07/191.94 [1515]~E(x15151,x15152)+E(f572(x15151,x15153,x15154,x15155),f572(x15152,x15153,x15154,x15155))
% 192.07/191.94 [1516]~E(x15161,x15162)+E(f572(x15163,x15161,x15164,x15165),f572(x15163,x15162,x15164,x15165))
% 192.07/191.94 [1517]~E(x15171,x15172)+E(f572(x15173,x15174,x15171,x15175),f572(x15173,x15174,x15172,x15175))
% 192.07/191.94 [1518]~E(x15181,x15182)+E(f572(x15183,x15184,x15185,x15181),f572(x15183,x15184,x15185,x15182))
% 192.07/191.94 [1519]~E(x15191,x15192)+E(f838(x15191,x15193,x15194,x15195),f838(x15192,x15193,x15194,x15195))
% 192.07/191.94 [1520]~E(x15201,x15202)+E(f838(x15203,x15201,x15204,x15205),f838(x15203,x15202,x15204,x15205))
% 192.07/191.94 [1521]~E(x15211,x15212)+E(f838(x15213,x15214,x15211,x15215),f838(x15213,x15214,x15212,x15215))
% 192.07/191.94 [1522]~E(x15221,x15222)+E(f838(x15223,x15224,x15225,x15221),f838(x15223,x15224,x15225,x15222))
% 192.07/191.94 [1523]~E(x15231,x15232)+E(f362(x15231,x15233,x15234),f362(x15232,x15233,x15234))
% 192.07/191.94 [1524]~E(x15241,x15242)+E(f362(x15243,x15241,x15244),f362(x15243,x15242,x15244))
% 192.07/191.94 [1525]~E(x15251,x15252)+E(f362(x15253,x15254,x15251),f362(x15253,x15254,x15252))
% 192.07/191.94 [1526]~E(x15261,x15262)+E(f389(x15261,x15263,x15264),f389(x15262,x15263,x15264))
% 192.07/191.94 [1527]~E(x15271,x15272)+E(f389(x15273,x15271,x15274),f389(x15273,x15272,x15274))
% 192.07/191.94 [1528]~E(x15281,x15282)+E(f389(x15283,x15284,x15281),f389(x15283,x15284,x15282))
% 192.07/191.94 [1529]~E(x15291,x15292)+E(f430(x15291,x15293,x15294,x15295),f430(x15292,x15293,x15294,x15295))
% 192.07/191.94 [1530]~E(x15301,x15302)+E(f430(x15303,x15301,x15304,x15305),f430(x15303,x15302,x15304,x15305))
% 192.07/191.94 [1531]~E(x15311,x15312)+E(f430(x15313,x15314,x15311,x15315),f430(x15313,x15314,x15312,x15315))
% 192.07/191.94 [1532]~E(x15321,x15322)+E(f430(x15323,x15324,x15325,x15321),f430(x15323,x15324,x15325,x15322))
% 192.07/191.94 [1533]~E(x15331,x15332)+E(f646(x15331,x15333),f646(x15332,x15333))
% 192.07/191.94 [1534]~E(x15341,x15342)+E(f646(x15343,x15341),f646(x15343,x15342))
% 192.07/191.94 [1535]~E(x15351,x15352)+E(f208(x15351,x15353),f208(x15352,x15353))
% 192.07/191.94 [1536]~E(x15361,x15362)+E(f208(x15363,x15361),f208(x15363,x15362))
% 192.07/191.94 [1537]~E(x15371,x15372)+E(f488(x15371,x15373,x15374,x15375),f488(x15372,x15373,x15374,x15375))
% 192.07/191.94 [1538]~E(x15381,x15382)+E(f488(x15383,x15381,x15384,x15385),f488(x15383,x15382,x15384,x15385))
% 192.07/191.94 [1539]~E(x15391,x15392)+E(f488(x15393,x15394,x15391,x15395),f488(x15393,x15394,x15392,x15395))
% 192.07/191.94 [1540]~E(x15401,x15402)+E(f488(x15403,x15404,x15405,x15401),f488(x15403,x15404,x15405,x15402))
% 192.07/191.94 [1541]~E(x15411,x15412)+E(f153(x15411,x15413,x15414,x15415),f153(x15412,x15413,x15414,x15415))
% 192.07/191.94 [1542]~E(x15421,x15422)+E(f153(x15423,x15421,x15424,x15425),f153(x15423,x15422,x15424,x15425))
% 192.07/191.94 [1543]~E(x15431,x15432)+E(f153(x15433,x15434,x15431,x15435),f153(x15433,x15434,x15432,x15435))
% 192.07/191.94 [1544]~E(x15441,x15442)+E(f153(x15443,x15444,x15445,x15441),f153(x15443,x15444,x15445,x15442))
% 192.07/191.94 [1545]~E(x15451,x15452)+E(f587(x15451,x15453,x15454,x15455),f587(x15452,x15453,x15454,x15455))
% 192.07/191.94 [1546]~E(x15461,x15462)+E(f587(x15463,x15461,x15464,x15465),f587(x15463,x15462,x15464,x15465))
% 192.07/191.94 [1547]~E(x15471,x15472)+E(f587(x15473,x15474,x15471,x15475),f587(x15473,x15474,x15472,x15475))
% 192.07/191.94 [1548]~E(x15481,x15482)+E(f587(x15483,x15484,x15485,x15481),f587(x15483,x15484,x15485,x15482))
% 192.07/191.94 [1549]~E(x15491,x15492)+E(f388(x15491,x15493,x15494,x15495,x15496),f388(x15492,x15493,x15494,x15495,x15496))
% 192.07/191.94 [1550]~E(x15501,x15502)+E(f388(x15503,x15501,x15504,x15505,x15506),f388(x15503,x15502,x15504,x15505,x15506))
% 192.07/191.94 [1551]~E(x15511,x15512)+E(f388(x15513,x15514,x15511,x15515,x15516),f388(x15513,x15514,x15512,x15515,x15516))
% 192.07/191.94 [1552]~E(x15521,x15522)+E(f388(x15523,x15524,x15525,x15521,x15526),f388(x15523,x15524,x15525,x15522,x15526))
% 192.07/191.94 [1553]~E(x15531,x15532)+E(f388(x15533,x15534,x15535,x15536,x15531),f388(x15533,x15534,x15535,x15536,x15532))
% 192.07/191.94 [1554]~E(x15541,x15542)+E(f827(x15541,x15543,x15544,x15545,x15546,x15547,x15548,x15549),f827(x15542,x15543,x15544,x15545,x15546,x15547,x15548,x15549))
% 192.07/191.94 [1555]~E(x15551,x15552)+E(f827(x15553,x15551,x15554,x15555,x15556,x15557,x15558,x15559),f827(x15553,x15552,x15554,x15555,x15556,x15557,x15558,x15559))
% 192.07/191.94 [1556]~E(x15561,x15562)+E(f827(x15563,x15564,x15561,x15565,x15566,x15567,x15568,x15569),f827(x15563,x15564,x15562,x15565,x15566,x15567,x15568,x15569))
% 192.07/191.94 [1557]~E(x15571,x15572)+E(f827(x15573,x15574,x15575,x15571,x15576,x15577,x15578,x15579),f827(x15573,x15574,x15575,x15572,x15576,x15577,x15578,x15579))
% 192.07/191.94 [1558]~E(x15581,x15582)+E(f827(x15583,x15584,x15585,x15586,x15581,x15587,x15588,x15589),f827(x15583,x15584,x15585,x15586,x15582,x15587,x15588,x15589))
% 192.07/191.94 [1559]~E(x15591,x15592)+E(f827(x15593,x15594,x15595,x15596,x15597,x15591,x15598,x15599),f827(x15593,x15594,x15595,x15596,x15597,x15592,x15598,x15599))
% 192.07/191.94 [1560]~E(x15601,x15602)+E(f827(x15603,x15604,x15605,x15606,x15607,x15608,x15601,x15609),f827(x15603,x15604,x15605,x15606,x15607,x15608,x15602,x15609))
% 192.07/191.94 [1561]~E(x15611,x15612)+E(f827(x15613,x15614,x15615,x15616,x15617,x15618,x15619,x15611),f827(x15613,x15614,x15615,x15616,x15617,x15618,x15619,x15612))
% 192.07/191.94 [1562]~E(x15621,x15622)+E(f180(x15621,x15623,x15624,x15625),f180(x15622,x15623,x15624,x15625))
% 192.07/191.94 [1563]~E(x15631,x15632)+E(f180(x15633,x15631,x15634,x15635),f180(x15633,x15632,x15634,x15635))
% 192.07/191.94 [1564]~E(x15641,x15642)+E(f180(x15643,x15644,x15641,x15645),f180(x15643,x15644,x15642,x15645))
% 192.07/191.94 [1565]~E(x15651,x15652)+E(f180(x15653,x15654,x15655,x15651),f180(x15653,x15654,x15655,x15652))
% 192.07/191.94 [1566]~E(x15661,x15662)+E(f800(x15661,x15663,x15664,x15665,x15666,x15667),f800(x15662,x15663,x15664,x15665,x15666,x15667))
% 192.07/191.94 [1567]~E(x15671,x15672)+E(f800(x15673,x15671,x15674,x15675,x15676,x15677),f800(x15673,x15672,x15674,x15675,x15676,x15677))
% 192.07/191.94 [1568]~E(x15681,x15682)+E(f800(x15683,x15684,x15681,x15685,x15686,x15687),f800(x15683,x15684,x15682,x15685,x15686,x15687))
% 192.07/191.94 [1569]~E(x15691,x15692)+E(f800(x15693,x15694,x15695,x15691,x15696,x15697),f800(x15693,x15694,x15695,x15692,x15696,x15697))
% 192.07/191.94 [1570]~E(x15701,x15702)+E(f800(x15703,x15704,x15705,x15706,x15701,x15707),f800(x15703,x15704,x15705,x15706,x15702,x15707))
% 192.07/191.94 [1571]~E(x15711,x15712)+E(f800(x15713,x15714,x15715,x15716,x15717,x15711),f800(x15713,x15714,x15715,x15716,x15717,x15712))
% 192.07/191.94 [1572]~E(x15721,x15722)+E(f673(x15721,x15723,x15724,x15725,x15726,x15727),f673(x15722,x15723,x15724,x15725,x15726,x15727))
% 192.07/191.94 [1573]~E(x15731,x15732)+E(f673(x15733,x15731,x15734,x15735,x15736,x15737),f673(x15733,x15732,x15734,x15735,x15736,x15737))
% 192.07/191.94 [1574]~E(x15741,x15742)+E(f673(x15743,x15744,x15741,x15745,x15746,x15747),f673(x15743,x15744,x15742,x15745,x15746,x15747))
% 192.07/191.94 [1575]~E(x15751,x15752)+E(f673(x15753,x15754,x15755,x15751,x15756,x15757),f673(x15753,x15754,x15755,x15752,x15756,x15757))
% 192.07/191.94 [1576]~E(x15761,x15762)+E(f673(x15763,x15764,x15765,x15766,x15761,x15767),f673(x15763,x15764,x15765,x15766,x15762,x15767))
% 192.07/191.94 [1577]~E(x15771,x15772)+E(f673(x15773,x15774,x15775,x15776,x15777,x15771),f673(x15773,x15774,x15775,x15776,x15777,x15772))
% 192.07/191.94 [1578]~E(x15781,x15782)+E(f369(x15781,x15783),f369(x15782,x15783))
% 192.07/191.94 [1579]~E(x15791,x15792)+E(f369(x15793,x15791),f369(x15793,x15792))
% 192.07/191.94 [1580]~E(x15801,x15802)+E(f834(x15801,x15803,x15804,x15805,x15806,x15807,x15808,x15809),f834(x15802,x15803,x15804,x15805,x15806,x15807,x15808,x15809))
% 192.07/191.94 [1581]~E(x15811,x15812)+E(f834(x15813,x15811,x15814,x15815,x15816,x15817,x15818,x15819),f834(x15813,x15812,x15814,x15815,x15816,x15817,x15818,x15819))
% 192.07/191.94 [1582]~E(x15821,x15822)+E(f834(x15823,x15824,x15821,x15825,x15826,x15827,x15828,x15829),f834(x15823,x15824,x15822,x15825,x15826,x15827,x15828,x15829))
% 192.07/191.94 [1583]~E(x15831,x15832)+E(f834(x15833,x15834,x15835,x15831,x15836,x15837,x15838,x15839),f834(x15833,x15834,x15835,x15832,x15836,x15837,x15838,x15839))
% 192.07/191.94 [1584]~E(x15841,x15842)+E(f834(x15843,x15844,x15845,x15846,x15841,x15847,x15848,x15849),f834(x15843,x15844,x15845,x15846,x15842,x15847,x15848,x15849))
% 192.07/191.94 [1585]~E(x15851,x15852)+E(f834(x15853,x15854,x15855,x15856,x15857,x15851,x15858,x15859),f834(x15853,x15854,x15855,x15856,x15857,x15852,x15858,x15859))
% 192.07/191.94 [1586]~E(x15861,x15862)+E(f834(x15863,x15864,x15865,x15866,x15867,x15868,x15861,x15869),f834(x15863,x15864,x15865,x15866,x15867,x15868,x15862,x15869))
% 192.07/191.94 [1587]~E(x15871,x15872)+E(f834(x15873,x15874,x15875,x15876,x15877,x15878,x15879,x15871),f834(x15873,x15874,x15875,x15876,x15877,x15878,x15879,x15872))
% 192.07/191.94 [1588]~E(x15881,x15882)+E(f374(x15881,x15883,x15884,x15885,x15886),f374(x15882,x15883,x15884,x15885,x15886))
% 192.07/191.94 [1589]~E(x15891,x15892)+E(f374(x15893,x15891,x15894,x15895,x15896),f374(x15893,x15892,x15894,x15895,x15896))
% 192.07/191.94 [1590]~E(x15901,x15902)+E(f374(x15903,x15904,x15901,x15905,x15906),f374(x15903,x15904,x15902,x15905,x15906))
% 192.07/191.94 [1591]~E(x15911,x15912)+E(f374(x15913,x15914,x15915,x15911,x15916),f374(x15913,x15914,x15915,x15912,x15916))
% 192.07/191.94 [1592]~E(x15921,x15922)+E(f374(x15923,x15924,x15925,x15926,x15921),f374(x15923,x15924,x15925,x15926,x15922))
% 192.07/191.94 [1593]~E(x15931,x15932)+E(f652(x15931,x15933),f652(x15932,x15933))
% 192.07/191.94 [1594]~E(x15941,x15942)+E(f652(x15943,x15941),f652(x15943,x15942))
% 192.07/191.94 [1595]~E(x15951,x15952)+E(f321(x15951,x15953,x15954,x15955),f321(x15952,x15953,x15954,x15955))
% 192.07/191.94 [1596]~E(x15961,x15962)+E(f321(x15963,x15961,x15964,x15965),f321(x15963,x15962,x15964,x15965))
% 192.07/191.94 [1597]~E(x15971,x15972)+E(f321(x15973,x15974,x15971,x15975),f321(x15973,x15974,x15972,x15975))
% 192.07/191.94 [1598]~E(x15981,x15982)+E(f321(x15983,x15984,x15985,x15981),f321(x15983,x15984,x15985,x15982))
% 192.07/191.94 [1599]~E(x15991,x15992)+E(f510(x15991,x15993,x15994,x15995,x15996),f510(x15992,x15993,x15994,x15995,x15996))
% 192.07/191.94 [1600]~E(x16001,x16002)+E(f510(x16003,x16001,x16004,x16005,x16006),f510(x16003,x16002,x16004,x16005,x16006))
% 192.07/191.94 [1601]~E(x16011,x16012)+E(f510(x16013,x16014,x16011,x16015,x16016),f510(x16013,x16014,x16012,x16015,x16016))
% 192.07/191.94 [1602]~E(x16021,x16022)+E(f510(x16023,x16024,x16025,x16021,x16026),f510(x16023,x16024,x16025,x16022,x16026))
% 192.07/191.94 [1603]~E(x16031,x16032)+E(f510(x16033,x16034,x16035,x16036,x16031),f510(x16033,x16034,x16035,x16036,x16032))
% 192.07/191.94 [1604]~E(x16041,x16042)+E(f472(x16041,x16043,x16044),f472(x16042,x16043,x16044))
% 192.07/191.94 [1605]~E(x16051,x16052)+E(f472(x16053,x16051,x16054),f472(x16053,x16052,x16054))
% 192.07/191.94 [1606]~E(x16061,x16062)+E(f472(x16063,x16064,x16061),f472(x16063,x16064,x16062))
% 192.07/191.94 [1607]~E(x16071,x16072)+E(f431(x16071,x16073,x16074,x16075),f431(x16072,x16073,x16074,x16075))
% 192.07/191.94 [1608]~E(x16081,x16082)+E(f431(x16083,x16081,x16084,x16085),f431(x16083,x16082,x16084,x16085))
% 192.07/191.94 [1609]~E(x16091,x16092)+E(f431(x16093,x16094,x16091,x16095),f431(x16093,x16094,x16092,x16095))
% 192.07/191.94 [1610]~E(x16101,x16102)+E(f431(x16103,x16104,x16105,x16101),f431(x16103,x16104,x16105,x16102))
% 192.07/191.94 [1611]~E(x16111,x16112)+E(f480(x16111,x16113,x16114),f480(x16112,x16113,x16114))
% 192.07/191.94 [1612]~E(x16121,x16122)+E(f480(x16123,x16121,x16124),f480(x16123,x16122,x16124))
% 192.07/191.94 [1613]~E(x16131,x16132)+E(f480(x16133,x16134,x16131),f480(x16133,x16134,x16132))
% 192.07/191.94 [1614]~E(x16141,x16142)+E(f824(x16141),f824(x16142))
% 192.07/191.94 [1615]~E(x16151,x16152)+E(f609(x16151,x16153,x16154,x16155),f609(x16152,x16153,x16154,x16155))
% 192.07/191.94 [1616]~E(x16161,x16162)+E(f609(x16163,x16161,x16164,x16165),f609(x16163,x16162,x16164,x16165))
% 192.07/191.94 [1617]~E(x16171,x16172)+E(f609(x16173,x16174,x16171,x16175),f609(x16173,x16174,x16172,x16175))
% 192.07/191.94 [1618]~E(x16181,x16182)+E(f609(x16183,x16184,x16185,x16181),f609(x16183,x16184,x16185,x16182))
% 192.07/191.94 [1619]~E(x16191,x16192)+E(f497(x16191,x16193,x16194,x16195,x16196),f497(x16192,x16193,x16194,x16195,x16196))
% 192.07/191.94 [1620]~E(x16201,x16202)+E(f497(x16203,x16201,x16204,x16205,x16206),f497(x16203,x16202,x16204,x16205,x16206))
% 192.07/191.94 [1621]~E(x16211,x16212)+E(f497(x16213,x16214,x16211,x16215,x16216),f497(x16213,x16214,x16212,x16215,x16216))
% 192.07/191.94 [1622]~E(x16221,x16222)+E(f497(x16223,x16224,x16225,x16221,x16226),f497(x16223,x16224,x16225,x16222,x16226))
% 192.07/191.94 [1623]~E(x16231,x16232)+E(f497(x16233,x16234,x16235,x16236,x16231),f497(x16233,x16234,x16235,x16236,x16232))
% 192.07/191.94 [1624]~E(x16241,x16242)+E(f152(x16241,x16243),f152(x16242,x16243))
% 192.07/191.94 [1625]~E(x16251,x16252)+E(f152(x16253,x16251),f152(x16253,x16252))
% 192.07/191.94 [1626]~E(x16261,x16262)+E(f813(x16261,x16263,x16264,x16265,x16266),f813(x16262,x16263,x16264,x16265,x16266))
% 192.07/191.94 [1627]~E(x16271,x16272)+E(f813(x16273,x16271,x16274,x16275,x16276),f813(x16273,x16272,x16274,x16275,x16276))
% 192.07/191.94 [1628]~E(x16281,x16282)+E(f813(x16283,x16284,x16281,x16285,x16286),f813(x16283,x16284,x16282,x16285,x16286))
% 192.07/191.94 [1629]~E(x16291,x16292)+E(f813(x16293,x16294,x16295,x16291,x16296),f813(x16293,x16294,x16295,x16292,x16296))
% 192.07/191.94 [1630]~E(x16301,x16302)+E(f813(x16303,x16304,x16305,x16306,x16301),f813(x16303,x16304,x16305,x16306,x16302))
% 192.07/191.94 [1631]~E(x16311,x16312)+E(f40(x16311),f40(x16312))
% 192.07/191.94 [1632]~E(x16321,x16322)+E(f641(x16321,x16323),f641(x16322,x16323))
% 192.07/191.94 [1633]~E(x16331,x16332)+E(f641(x16333,x16331),f641(x16333,x16332))
% 192.07/191.94 [1634]~E(x16341,x16342)+E(f445(x16341,x16343),f445(x16342,x16343))
% 192.07/191.94 [1635]~E(x16351,x16352)+E(f445(x16353,x16351),f445(x16353,x16352))
% 192.07/191.94 [1636]~E(x16361,x16362)+E(f837(x16361,x16363,x16364),f837(x16362,x16363,x16364))
% 192.07/191.94 [1637]~E(x16371,x16372)+E(f837(x16373,x16371,x16374),f837(x16373,x16372,x16374))
% 192.07/191.94 [1638]~E(x16381,x16382)+E(f837(x16383,x16384,x16381),f837(x16383,x16384,x16382))
% 192.07/191.94 [1639]~E(x16391,x16392)+E(f728(x16391,x16393,x16394,x16395),f728(x16392,x16393,x16394,x16395))
% 192.07/191.94 [1640]~E(x16401,x16402)+E(f728(x16403,x16401,x16404,x16405),f728(x16403,x16402,x16404,x16405))
% 192.07/191.94 [1641]~E(x16411,x16412)+E(f728(x16413,x16414,x16411,x16415),f728(x16413,x16414,x16412,x16415))
% 192.07/191.94 [1642]~E(x16421,x16422)+E(f728(x16423,x16424,x16425,x16421),f728(x16423,x16424,x16425,x16422))
% 192.07/191.94 [1643]~E(x16431,x16432)+E(f818(x16431,x16433,x16434),f818(x16432,x16433,x16434))
% 192.07/191.94 [1644]~E(x16441,x16442)+E(f818(x16443,x16441,x16444),f818(x16443,x16442,x16444))
% 192.07/191.94 [1645]~E(x16451,x16452)+E(f818(x16453,x16454,x16451),f818(x16453,x16454,x16452))
% 192.07/191.94 [1646]~E(x16461,x16462)+E(f801(x16461,x16463,x16464,x16465,x16466,x16467),f801(x16462,x16463,x16464,x16465,x16466,x16467))
% 192.07/191.94 [1647]~E(x16471,x16472)+E(f801(x16473,x16471,x16474,x16475,x16476,x16477),f801(x16473,x16472,x16474,x16475,x16476,x16477))
% 192.07/191.94 [1648]~E(x16481,x16482)+E(f801(x16483,x16484,x16481,x16485,x16486,x16487),f801(x16483,x16484,x16482,x16485,x16486,x16487))
% 192.07/191.94 [1649]~E(x16491,x16492)+E(f801(x16493,x16494,x16495,x16491,x16496,x16497),f801(x16493,x16494,x16495,x16492,x16496,x16497))
% 192.07/191.94 [1650]~E(x16501,x16502)+E(f801(x16503,x16504,x16505,x16506,x16501,x16507),f801(x16503,x16504,x16505,x16506,x16502,x16507))
% 192.07/191.94 [1651]~E(x16511,x16512)+E(f801(x16513,x16514,x16515,x16516,x16517,x16511),f801(x16513,x16514,x16515,x16516,x16517,x16512))
% 192.07/191.94 [1652]~E(x16521,x16522)+E(f502(x16521,x16523,x16524,x16525,x16526),f502(x16522,x16523,x16524,x16525,x16526))
% 192.07/191.94 [1653]~E(x16531,x16532)+E(f502(x16533,x16531,x16534,x16535,x16536),f502(x16533,x16532,x16534,x16535,x16536))
% 192.07/191.94 [1654]~E(x16541,x16542)+E(f502(x16543,x16544,x16541,x16545,x16546),f502(x16543,x16544,x16542,x16545,x16546))
% 192.07/191.94 [1655]~E(x16551,x16552)+E(f502(x16553,x16554,x16555,x16551,x16556),f502(x16553,x16554,x16555,x16552,x16556))
% 192.07/191.94 [1656]~E(x16561,x16562)+E(f502(x16563,x16564,x16565,x16566,x16561),f502(x16563,x16564,x16565,x16566,x16562))
% 192.07/191.94 [1657]~E(x16571,x16572)+E(f721(x16571,x16573,x16574,x16575,x16576),f721(x16572,x16573,x16574,x16575,x16576))
% 192.07/191.94 [1658]~E(x16581,x16582)+E(f721(x16583,x16581,x16584,x16585,x16586),f721(x16583,x16582,x16584,x16585,x16586))
% 192.07/191.94 [1659]~E(x16591,x16592)+E(f721(x16593,x16594,x16591,x16595,x16596),f721(x16593,x16594,x16592,x16595,x16596))
% 192.07/191.94 [1660]~E(x16601,x16602)+E(f721(x16603,x16604,x16605,x16601,x16606),f721(x16603,x16604,x16605,x16602,x16606))
% 192.07/191.94 [1661]~E(x16611,x16612)+E(f721(x16613,x16614,x16615,x16616,x16611),f721(x16613,x16614,x16615,x16616,x16612))
% 192.07/191.94 [1662]~E(x16621,x16622)+E(f563(x16621,x16623,x16624,x16625),f563(x16622,x16623,x16624,x16625))
% 192.07/191.94 [1663]~E(x16631,x16632)+E(f563(x16633,x16631,x16634,x16635),f563(x16633,x16632,x16634,x16635))
% 192.07/191.94 [1664]~E(x16641,x16642)+E(f563(x16643,x16644,x16641,x16645),f563(x16643,x16644,x16642,x16645))
% 192.07/191.94 [1665]~E(x16651,x16652)+E(f563(x16653,x16654,x16655,x16651),f563(x16653,x16654,x16655,x16652))
% 192.07/191.94 [1666]~E(x16661,x16662)+E(f311(x16661,x16663,x16664),f311(x16662,x16663,x16664))
% 192.07/191.94 [1667]~E(x16671,x16672)+E(f311(x16673,x16671,x16674),f311(x16673,x16672,x16674))
% 192.07/191.94 [1668]~E(x16681,x16682)+E(f311(x16683,x16684,x16681),f311(x16683,x16684,x16682))
% 192.07/191.94 [1669]~E(x16691,x16692)+E(f417(x16691,x16693,x16694,x16695,x16696),f417(x16692,x16693,x16694,x16695,x16696))
% 192.07/191.94 [1670]~E(x16701,x16702)+E(f417(x16703,x16701,x16704,x16705,x16706),f417(x16703,x16702,x16704,x16705,x16706))
% 192.07/191.94 [1671]~E(x16711,x16712)+E(f417(x16713,x16714,x16711,x16715,x16716),f417(x16713,x16714,x16712,x16715,x16716))
% 192.07/191.94 [1672]~E(x16721,x16722)+E(f417(x16723,x16724,x16725,x16721,x16726),f417(x16723,x16724,x16725,x16722,x16726))
% 192.07/191.94 [1673]~E(x16731,x16732)+E(f417(x16733,x16734,x16735,x16736,x16731),f417(x16733,x16734,x16735,x16736,x16732))
% 192.07/191.94 [1674]~E(x16741,x16742)+E(f689(x16741,x16743,x16744,x16745,x16746,x16747),f689(x16742,x16743,x16744,x16745,x16746,x16747))
% 192.07/191.94 [1675]~E(x16751,x16752)+E(f689(x16753,x16751,x16754,x16755,x16756,x16757),f689(x16753,x16752,x16754,x16755,x16756,x16757))
% 192.07/191.94 [1676]~E(x16761,x16762)+E(f689(x16763,x16764,x16761,x16765,x16766,x16767),f689(x16763,x16764,x16762,x16765,x16766,x16767))
% 192.07/191.94 [1677]~E(x16771,x16772)+E(f689(x16773,x16774,x16775,x16771,x16776,x16777),f689(x16773,x16774,x16775,x16772,x16776,x16777))
% 192.07/191.94 [1678]~E(x16781,x16782)+E(f689(x16783,x16784,x16785,x16786,x16781,x16787),f689(x16783,x16784,x16785,x16786,x16782,x16787))
% 192.07/191.94 [1679]~E(x16791,x16792)+E(f689(x16793,x16794,x16795,x16796,x16797,x16791),f689(x16793,x16794,x16795,x16796,x16797,x16792))
% 192.07/191.94 [1680]~E(x16801,x16802)+E(f759(x16801,x16803,x16804,x16805,x16806),f759(x16802,x16803,x16804,x16805,x16806))
% 192.07/191.94 [1681]~E(x16811,x16812)+E(f759(x16813,x16811,x16814,x16815,x16816),f759(x16813,x16812,x16814,x16815,x16816))
% 192.07/191.94 [1682]~E(x16821,x16822)+E(f759(x16823,x16824,x16821,x16825,x16826),f759(x16823,x16824,x16822,x16825,x16826))
% 192.07/191.94 [1683]~E(x16831,x16832)+E(f759(x16833,x16834,x16835,x16831,x16836),f759(x16833,x16834,x16835,x16832,x16836))
% 192.07/191.94 [1684]~E(x16841,x16842)+E(f759(x16843,x16844,x16845,x16846,x16841),f759(x16843,x16844,x16845,x16846,x16842))
% 192.07/191.94 [1685]~E(x16851,x16852)+E(f741(x16851,x16853),f741(x16852,x16853))
% 192.07/191.94 [1686]~E(x16861,x16862)+E(f741(x16863,x16861),f741(x16863,x16862))
% 192.07/191.94 [1687]~E(x16871,x16872)+E(f271(x16871),f271(x16872))
% 192.07/191.94 [1688]~E(x16881,x16882)+E(f591(x16881,x16883,x16884),f591(x16882,x16883,x16884))
% 192.07/191.94 [1689]~E(x16891,x16892)+E(f591(x16893,x16891,x16894),f591(x16893,x16892,x16894))
% 192.07/191.94 [1690]~E(x16901,x16902)+E(f591(x16903,x16904,x16901),f591(x16903,x16904,x16902))
% 192.07/191.94 [1691]~E(x16911,x16912)+E(f709(x16911,x16913,x16914),f709(x16912,x16913,x16914))
% 192.07/191.94 [1692]~E(x16921,x16922)+E(f709(x16923,x16921,x16924),f709(x16923,x16922,x16924))
% 192.07/191.94 [1693]~E(x16931,x16932)+E(f709(x16933,x16934,x16931),f709(x16933,x16934,x16932))
% 192.07/191.94 [1694]~E(x16941,x16942)+E(f895(x16941,x16943,x16944,x16945),f895(x16942,x16943,x16944,x16945))
% 192.07/191.94 [1695]~E(x16951,x16952)+E(f895(x16953,x16951,x16954,x16955),f895(x16953,x16952,x16954,x16955))
% 192.07/191.94 [1696]~E(x16961,x16962)+E(f895(x16963,x16964,x16961,x16965),f895(x16963,x16964,x16962,x16965))
% 192.07/191.94 [1697]~E(x16971,x16972)+E(f895(x16973,x16974,x16975,x16971),f895(x16973,x16974,x16975,x16972))
% 192.07/191.94 [1698]~E(x16981,x16982)+E(f867(x16981),f867(x16982))
% 192.07/191.94 [1699]~E(x16991,x16992)+E(f264(x16991,x16993,x16994),f264(x16992,x16993,x16994))
% 192.07/191.94 [1700]~E(x17001,x17002)+E(f264(x17003,x17001,x17004),f264(x17003,x17002,x17004))
% 192.07/191.94 [1701]~E(x17011,x17012)+E(f264(x17013,x17014,x17011),f264(x17013,x17014,x17012))
% 192.07/191.94 [1702]~E(x17021,x17022)+E(f798(x17021,x17023,x17024,x17025,x17026,x17027),f798(x17022,x17023,x17024,x17025,x17026,x17027))
% 192.07/191.94 [1703]~E(x17031,x17032)+E(f798(x17033,x17031,x17034,x17035,x17036,x17037),f798(x17033,x17032,x17034,x17035,x17036,x17037))
% 192.07/191.94 [1704]~E(x17041,x17042)+E(f798(x17043,x17044,x17041,x17045,x17046,x17047),f798(x17043,x17044,x17042,x17045,x17046,x17047))
% 192.07/191.94 [1705]~E(x17051,x17052)+E(f798(x17053,x17054,x17055,x17051,x17056,x17057),f798(x17053,x17054,x17055,x17052,x17056,x17057))
% 192.07/191.94 [1706]~E(x17061,x17062)+E(f798(x17063,x17064,x17065,x17066,x17061,x17067),f798(x17063,x17064,x17065,x17066,x17062,x17067))
% 192.07/191.94 [1707]~E(x17071,x17072)+E(f798(x17073,x17074,x17075,x17076,x17077,x17071),f798(x17073,x17074,x17075,x17076,x17077,x17072))
% 192.07/191.94 [1708]~E(x17081,x17082)+E(f738(x17081,x17083,x17084),f738(x17082,x17083,x17084))
% 192.07/191.94 [1709]~E(x17091,x17092)+E(f738(x17093,x17091,x17094),f738(x17093,x17092,x17094))
% 192.07/191.94 [1710]~E(x17101,x17102)+E(f738(x17103,x17104,x17101),f738(x17103,x17104,x17102))
% 192.07/191.94 [1711]~E(x17111,x17112)+E(f219(x17111,x17113,x17114,x17115),f219(x17112,x17113,x17114,x17115))
% 192.07/191.94 [1712]~E(x17121,x17122)+E(f219(x17123,x17121,x17124,x17125),f219(x17123,x17122,x17124,x17125))
% 192.07/191.94 [1713]~E(x17131,x17132)+E(f219(x17133,x17134,x17131,x17135),f219(x17133,x17134,x17132,x17135))
% 192.07/191.94 [1714]~E(x17141,x17142)+E(f219(x17143,x17144,x17145,x17141),f219(x17143,x17144,x17145,x17142))
% 192.07/191.94 [1715]~E(x17151,x17152)+E(f778(x17151,x17153,x17154,x17155),f778(x17152,x17153,x17154,x17155))
% 192.07/191.94 [1716]~E(x17161,x17162)+E(f778(x17163,x17161,x17164,x17165),f778(x17163,x17162,x17164,x17165))
% 192.07/191.94 [1717]~E(x17171,x17172)+E(f778(x17173,x17174,x17171,x17175),f778(x17173,x17174,x17172,x17175))
% 192.07/191.94 [1718]~E(x17181,x17182)+E(f778(x17183,x17184,x17185,x17181),f778(x17183,x17184,x17185,x17182))
% 192.07/191.94 [1719]~E(x17191,x17192)+E(f107(x17191,x17193,x17194),f107(x17192,x17193,x17194))
% 192.07/191.94 [1720]~E(x17201,x17202)+E(f107(x17203,x17201,x17204),f107(x17203,x17202,x17204))
% 192.07/191.94 [1721]~E(x17211,x17212)+E(f107(x17213,x17214,x17211),f107(x17213,x17214,x17212))
% 192.07/191.94 [1722]~E(x17221,x17222)+E(f407(x17221,x17223,x17224,x17225),f407(x17222,x17223,x17224,x17225))
% 192.07/191.94 [1723]~E(x17231,x17232)+E(f407(x17233,x17231,x17234,x17235),f407(x17233,x17232,x17234,x17235))
% 192.07/191.94 [1724]~E(x17241,x17242)+E(f407(x17243,x17244,x17241,x17245),f407(x17243,x17244,x17242,x17245))
% 192.07/191.94 [1725]~E(x17251,x17252)+E(f407(x17253,x17254,x17255,x17251),f407(x17253,x17254,x17255,x17252))
% 192.07/191.94 [1726]~E(x17261,x17262)+E(f358(x17261,x17263,x17264),f358(x17262,x17263,x17264))
% 192.07/191.94 [1727]~E(x17271,x17272)+E(f358(x17273,x17271,x17274),f358(x17273,x17272,x17274))
% 192.07/191.94 [1728]~E(x17281,x17282)+E(f358(x17283,x17284,x17281),f358(x17283,x17284,x17282))
% 192.07/191.94 [1729]~E(x17291,x17292)+E(f766(x17291),f766(x17292))
% 192.07/191.94 [1730]~E(x17301,x17302)+E(f535(x17301,x17303),f535(x17302,x17303))
% 192.07/191.94 [1731]~E(x17311,x17312)+E(f535(x17313,x17311),f535(x17313,x17312))
% 192.07/191.94 [1732]~E(x17321,x17322)+E(f726(x17321,x17323,x17324),f726(x17322,x17323,x17324))
% 192.07/191.94 [1733]~E(x17331,x17332)+E(f726(x17333,x17331,x17334),f726(x17333,x17332,x17334))
% 192.07/191.94 [1734]~E(x17341,x17342)+E(f726(x17343,x17344,x17341),f726(x17343,x17344,x17342))
% 192.07/191.94 [1735]~E(x17351,x17352)+E(f471(x17351,x17353,x17354),f471(x17352,x17353,x17354))
% 192.07/191.94 [1736]~E(x17361,x17362)+E(f471(x17363,x17361,x17364),f471(x17363,x17362,x17364))
% 192.07/191.94 [1737]~E(x17371,x17372)+E(f471(x17373,x17374,x17371),f471(x17373,x17374,x17372))
% 192.07/191.94 [1738]~E(x17381,x17382)+E(f120(x17381,x17383,x17384,x17385),f120(x17382,x17383,x17384,x17385))
% 192.07/191.94 [1739]~E(x17391,x17392)+E(f120(x17393,x17391,x17394,x17395),f120(x17393,x17392,x17394,x17395))
% 192.07/191.94 [1740]~E(x17401,x17402)+E(f120(x17403,x17404,x17401,x17405),f120(x17403,x17404,x17402,x17405))
% 192.07/191.94 [1741]~E(x17411,x17412)+E(f120(x17413,x17414,x17415,x17411),f120(x17413,x17414,x17415,x17412))
% 192.07/191.94 [1742]~E(x17421,x17422)+E(f675(x17421,x17423,x17424,x17425,x17426,x17427),f675(x17422,x17423,x17424,x17425,x17426,x17427))
% 192.07/191.94 [1743]~E(x17431,x17432)+E(f675(x17433,x17431,x17434,x17435,x17436,x17437),f675(x17433,x17432,x17434,x17435,x17436,x17437))
% 192.07/191.94 [1744]~E(x17441,x17442)+E(f675(x17443,x17444,x17441,x17445,x17446,x17447),f675(x17443,x17444,x17442,x17445,x17446,x17447))
% 192.07/191.94 [1745]~E(x17451,x17452)+E(f675(x17453,x17454,x17455,x17451,x17456,x17457),f675(x17453,x17454,x17455,x17452,x17456,x17457))
% 192.07/191.94 [1746]~E(x17461,x17462)+E(f675(x17463,x17464,x17465,x17466,x17461,x17467),f675(x17463,x17464,x17465,x17466,x17462,x17467))
% 192.07/191.94 [1747]~E(x17471,x17472)+E(f675(x17473,x17474,x17475,x17476,x17477,x17471),f675(x17473,x17474,x17475,x17476,x17477,x17472))
% 192.07/191.94 [1748]~E(x17481,x17482)+E(f593(x17481,x17483,x17484),f593(x17482,x17483,x17484))
% 192.07/191.94 [1749]~E(x17491,x17492)+E(f593(x17493,x17491,x17494),f593(x17493,x17492,x17494))
% 192.07/191.94 [1750]~E(x17501,x17502)+E(f593(x17503,x17504,x17501),f593(x17503,x17504,x17502))
% 192.07/191.94 [1751]~E(x17511,x17512)+E(f750(x17511,x17513,x17514),f750(x17512,x17513,x17514))
% 192.07/191.94 [1752]~E(x17521,x17522)+E(f750(x17523,x17521,x17524),f750(x17523,x17522,x17524))
% 192.07/191.94 [1753]~E(x17531,x17532)+E(f750(x17533,x17534,x17531),f750(x17533,x17534,x17532))
% 192.07/191.94 [1754]~E(x17541,x17542)+E(f263(x17541,x17543,x17544,x17545),f263(x17542,x17543,x17544,x17545))
% 192.07/191.94 [1755]~E(x17551,x17552)+E(f263(x17553,x17551,x17554,x17555),f263(x17553,x17552,x17554,x17555))
% 192.07/191.94 [1756]~E(x17561,x17562)+E(f263(x17563,x17564,x17561,x17565),f263(x17563,x17564,x17562,x17565))
% 192.07/191.94 [1757]~E(x17571,x17572)+E(f263(x17573,x17574,x17575,x17571),f263(x17573,x17574,x17575,x17572))
% 192.07/191.94 [1758]~E(x17581,x17582)+E(f68(x17581,x17583),f68(x17582,x17583))
% 192.07/191.94 [1759]~E(x17591,x17592)+E(f68(x17593,x17591),f68(x17593,x17592))
% 192.07/191.94 [1760]~E(x17601,x17602)+E(f672(x17601,x17603,x17604,x17605,x17606,x17607),f672(x17602,x17603,x17604,x17605,x17606,x17607))
% 192.07/191.94 [1761]~E(x17611,x17612)+E(f672(x17613,x17611,x17614,x17615,x17616,x17617),f672(x17613,x17612,x17614,x17615,x17616,x17617))
% 192.07/191.94 [1762]~E(x17621,x17622)+E(f672(x17623,x17624,x17621,x17625,x17626,x17627),f672(x17623,x17624,x17622,x17625,x17626,x17627))
% 192.07/191.94 [1763]~E(x17631,x17632)+E(f672(x17633,x17634,x17635,x17631,x17636,x17637),f672(x17633,x17634,x17635,x17632,x17636,x17637))
% 192.07/191.94 [1764]~E(x17641,x17642)+E(f672(x17643,x17644,x17645,x17646,x17641,x17647),f672(x17643,x17644,x17645,x17646,x17642,x17647))
% 192.07/191.94 [1765]~E(x17651,x17652)+E(f672(x17653,x17654,x17655,x17656,x17657,x17651),f672(x17653,x17654,x17655,x17656,x17657,x17652))
% 192.07/191.94 [1766]~E(x17661,x17662)+E(f893(x17661,x17663,x17664,x17665),f893(x17662,x17663,x17664,x17665))
% 192.07/191.94 [1767]~E(x17671,x17672)+E(f893(x17673,x17671,x17674,x17675),f893(x17673,x17672,x17674,x17675))
% 192.07/191.94 [1768]~E(x17681,x17682)+E(f893(x17683,x17684,x17681,x17685),f893(x17683,x17684,x17682,x17685))
% 192.07/191.94 [1769]~E(x17691,x17692)+E(f893(x17693,x17694,x17695,x17691),f893(x17693,x17694,x17695,x17692))
% 192.07/191.94 [1770]~E(x17701,x17702)+E(f740(x17701,x17703,x17704,x17705),f740(x17702,x17703,x17704,x17705))
% 192.07/191.94 [1771]~E(x17711,x17712)+E(f740(x17713,x17711,x17714,x17715),f740(x17713,x17712,x17714,x17715))
% 192.07/191.94 [1772]~E(x17721,x17722)+E(f740(x17723,x17724,x17721,x17725),f740(x17723,x17724,x17722,x17725))
% 192.07/191.94 [1773]~E(x17731,x17732)+E(f740(x17733,x17734,x17735,x17731),f740(x17733,x17734,x17735,x17732))
% 192.07/191.94 [1774]~E(x17741,x17742)+E(f456(x17741,x17743,x17744),f456(x17742,x17743,x17744))
% 192.07/191.94 [1775]~E(x17751,x17752)+E(f456(x17753,x17751,x17754),f456(x17753,x17752,x17754))
% 192.07/191.94 [1776]~E(x17761,x17762)+E(f456(x17763,x17764,x17761),f456(x17763,x17764,x17762))
% 192.07/191.94 [1777]~E(x17771,x17772)+E(f626(x17771,x17773,x17774),f626(x17772,x17773,x17774))
% 192.07/191.94 [1778]~E(x17781,x17782)+E(f626(x17783,x17781,x17784),f626(x17783,x17782,x17784))
% 192.07/191.94 [1779]~E(x17791,x17792)+E(f626(x17793,x17794,x17791),f626(x17793,x17794,x17792))
% 192.07/191.94 [1780]~E(x17801,x17802)+E(f647(x17801,x17803),f647(x17802,x17803))
% 192.07/191.94 [1781]~E(x17811,x17812)+E(f647(x17813,x17811),f647(x17813,x17812))
% 192.07/191.94 [1782]~E(x17821,x17822)+E(f454(x17821,x17823),f454(x17822,x17823))
% 192.07/191.94 [1783]~E(x17831,x17832)+E(f454(x17833,x17831),f454(x17833,x17832))
% 192.07/191.94 [1784]~E(x17841,x17842)+E(f435(x17841,x17843,x17844),f435(x17842,x17843,x17844))
% 192.07/191.94 [1785]~E(x17851,x17852)+E(f435(x17853,x17851,x17854),f435(x17853,x17852,x17854))
% 192.07/191.94 [1786]~E(x17861,x17862)+E(f435(x17863,x17864,x17861),f435(x17863,x17864,x17862))
% 192.07/191.94 [1787]~E(x17871,x17872)+E(f619(x17871,x17873,x17874,x17875,x17876),f619(x17872,x17873,x17874,x17875,x17876))
% 192.07/191.94 [1788]~E(x17881,x17882)+E(f619(x17883,x17881,x17884,x17885,x17886),f619(x17883,x17882,x17884,x17885,x17886))
% 192.07/191.94 [1789]~E(x17891,x17892)+E(f619(x17893,x17894,x17891,x17895,x17896),f619(x17893,x17894,x17892,x17895,x17896))
% 192.07/191.94 [1790]~E(x17901,x17902)+E(f619(x17903,x17904,x17905,x17901,x17906),f619(x17903,x17904,x17905,x17902,x17906))
% 192.07/191.94 [1791]~E(x17911,x17912)+E(f619(x17913,x17914,x17915,x17916,x17911),f619(x17913,x17914,x17915,x17916,x17912))
% 192.07/191.94 [1792]~E(x17921,x17922)+E(f806(x17921,x17923,x17924),f806(x17922,x17923,x17924))
% 192.07/191.94 [1793]~E(x17931,x17932)+E(f806(x17933,x17931,x17934),f806(x17933,x17932,x17934))
% 192.07/191.94 [1794]~E(x17941,x17942)+E(f806(x17943,x17944,x17941),f806(x17943,x17944,x17942))
% 192.07/191.94 [1795]~E(x17951,x17952)+E(f590(x17951,x17953,x17954,x17955),f590(x17952,x17953,x17954,x17955))
% 192.07/191.94 [1796]~E(x17961,x17962)+E(f590(x17963,x17961,x17964,x17965),f590(x17963,x17962,x17964,x17965))
% 192.07/191.94 [1797]~E(x17971,x17972)+E(f590(x17973,x17974,x17971,x17975),f590(x17973,x17974,x17972,x17975))
% 192.07/191.94 [1798]~E(x17981,x17982)+E(f590(x17983,x17984,x17985,x17981),f590(x17983,x17984,x17985,x17982))
% 192.07/191.94 [1799]~E(x17991,x17992)+E(f869(x17991),f869(x17992))
% 192.07/191.94 [1800]~E(x18001,x18002)+E(f748(x18001,x18003,x18004),f748(x18002,x18003,x18004))
% 192.07/191.94 [1801]~E(x18011,x18012)+E(f748(x18013,x18011,x18014),f748(x18013,x18012,x18014))
% 192.07/191.94 [1802]~E(x18021,x18022)+E(f748(x18023,x18024,x18021),f748(x18023,x18024,x18022))
% 192.07/191.94 [1803]~E(x18031,x18032)+E(f862(x18031,x18033,x18034),f862(x18032,x18033,x18034))
% 192.07/191.94 [1804]~E(x18041,x18042)+E(f862(x18043,x18041,x18044),f862(x18043,x18042,x18044))
% 192.07/191.94 [1805]~E(x18051,x18052)+E(f862(x18053,x18054,x18051),f862(x18053,x18054,x18052))
% 192.07/191.94 [1806]~E(x18061,x18062)+E(f669(x18061,x18063,x18064),f669(x18062,x18063,x18064))
% 192.07/191.94 [1807]~E(x18071,x18072)+E(f669(x18073,x18071,x18074),f669(x18073,x18072,x18074))
% 192.07/191.94 [1808]~E(x18081,x18082)+E(f669(x18083,x18084,x18081),f669(x18083,x18084,x18082))
% 192.07/191.94 [1809]~E(x18091,x18092)+E(f468(x18091,x18093,x18094,x18095),f468(x18092,x18093,x18094,x18095))
% 192.07/191.94 [1810]~E(x18101,x18102)+E(f468(x18103,x18101,x18104,x18105),f468(x18103,x18102,x18104,x18105))
% 192.07/191.94 [1811]~E(x18111,x18112)+E(f468(x18113,x18114,x18111,x18115),f468(x18113,x18114,x18112,x18115))
% 192.07/191.94 [1812]~E(x18121,x18122)+E(f468(x18123,x18124,x18125,x18121),f468(x18123,x18124,x18125,x18122))
% 192.07/191.94 [1813]~E(x18131,x18132)+E(f250(x18131,x18133,x18134,x18135,x18136),f250(x18132,x18133,x18134,x18135,x18136))
% 192.07/191.94 [1814]~E(x18141,x18142)+E(f250(x18143,x18141,x18144,x18145,x18146),f250(x18143,x18142,x18144,x18145,x18146))
% 192.07/191.94 [1815]~E(x18151,x18152)+E(f250(x18153,x18154,x18151,x18155,x18156),f250(x18153,x18154,x18152,x18155,x18156))
% 192.07/191.94 [1816]~E(x18161,x18162)+E(f250(x18163,x18164,x18165,x18161,x18166),f250(x18163,x18164,x18165,x18162,x18166))
% 192.07/191.94 [1817]~E(x18171,x18172)+E(f250(x18173,x18174,x18175,x18176,x18171),f250(x18173,x18174,x18175,x18176,x18172))
% 192.07/191.94 [1818]~E(x18181,x18182)+E(f832(x18181,x18183,x18184,x18185,x18186,x18187,x18188),f832(x18182,x18183,x18184,x18185,x18186,x18187,x18188))
% 192.07/191.94 [1819]~E(x18191,x18192)+E(f832(x18193,x18191,x18194,x18195,x18196,x18197,x18198),f832(x18193,x18192,x18194,x18195,x18196,x18197,x18198))
% 192.07/191.94 [1820]~E(x18201,x18202)+E(f832(x18203,x18204,x18201,x18205,x18206,x18207,x18208),f832(x18203,x18204,x18202,x18205,x18206,x18207,x18208))
% 192.07/191.94 [1821]~E(x18211,x18212)+E(f832(x18213,x18214,x18215,x18211,x18216,x18217,x18218),f832(x18213,x18214,x18215,x18212,x18216,x18217,x18218))
% 192.07/191.94 [1822]~E(x18221,x18222)+E(f832(x18223,x18224,x18225,x18226,x18221,x18227,x18228),f832(x18223,x18224,x18225,x18226,x18222,x18227,x18228))
% 192.07/191.94 [1823]~E(x18231,x18232)+E(f832(x18233,x18234,x18235,x18236,x18237,x18231,x18238),f832(x18233,x18234,x18235,x18236,x18237,x18232,x18238))
% 192.07/191.94 [1824]~E(x18241,x18242)+E(f832(x18243,x18244,x18245,x18246,x18247,x18248,x18241),f832(x18243,x18244,x18245,x18246,x18247,x18248,x18242))
% 192.07/191.94 [1825]~E(x18251,x18252)+E(f216(x18251,x18253,x18254,x18255,x18256),f216(x18252,x18253,x18254,x18255,x18256))
% 192.07/191.94 [1826]~E(x18261,x18262)+E(f216(x18263,x18261,x18264,x18265,x18266),f216(x18263,x18262,x18264,x18265,x18266))
% 192.07/191.94 [1827]~E(x18271,x18272)+E(f216(x18273,x18274,x18271,x18275,x18276),f216(x18273,x18274,x18272,x18275,x18276))
% 192.07/191.94 [1828]~E(x18281,x18282)+E(f216(x18283,x18284,x18285,x18281,x18286),f216(x18283,x18284,x18285,x18282,x18286))
% 192.07/191.94 [1829]~E(x18291,x18292)+E(f216(x18293,x18294,x18295,x18296,x18291),f216(x18293,x18294,x18295,x18296,x18292))
% 192.07/191.94 [1830]~E(x18301,x18302)+E(f889(x18301,x18303,x18304,x18305),f889(x18302,x18303,x18304,x18305))
% 192.07/191.94 [1831]~E(x18311,x18312)+E(f889(x18313,x18311,x18314,x18315),f889(x18313,x18312,x18314,x18315))
% 192.07/191.94 [1832]~E(x18321,x18322)+E(f889(x18323,x18324,x18321,x18325),f889(x18323,x18324,x18322,x18325))
% 192.07/191.94 [1833]~E(x18331,x18332)+E(f889(x18333,x18334,x18335,x18331),f889(x18333,x18334,x18335,x18332))
% 192.07/191.94 [1834]~E(x18341,x18342)+E(f884(x18341,x18343,x18344),f884(x18342,x18343,x18344))
% 192.07/191.94 [1835]~E(x18351,x18352)+E(f884(x18353,x18351,x18354),f884(x18353,x18352,x18354))
% 192.07/191.94 [1836]~E(x18361,x18362)+E(f884(x18363,x18364,x18361),f884(x18363,x18364,x18362))
% 192.07/191.94 [1837]~E(x18371,x18372)+E(f843(x18371,x18373,x18374,x18375,x18376,x18377),f843(x18372,x18373,x18374,x18375,x18376,x18377))
% 192.07/191.94 [1838]~E(x18381,x18382)+E(f843(x18383,x18381,x18384,x18385,x18386,x18387),f843(x18383,x18382,x18384,x18385,x18386,x18387))
% 192.07/191.94 [1839]~E(x18391,x18392)+E(f843(x18393,x18394,x18391,x18395,x18396,x18397),f843(x18393,x18394,x18392,x18395,x18396,x18397))
% 192.07/191.94 [1840]~E(x18401,x18402)+E(f843(x18403,x18404,x18405,x18401,x18406,x18407),f843(x18403,x18404,x18405,x18402,x18406,x18407))
% 192.07/191.94 [1841]~E(x18411,x18412)+E(f843(x18413,x18414,x18415,x18416,x18411,x18417),f843(x18413,x18414,x18415,x18416,x18412,x18417))
% 192.07/191.94 [1842]~E(x18421,x18422)+E(f843(x18423,x18424,x18425,x18426,x18427,x18421),f843(x18423,x18424,x18425,x18426,x18427,x18422))
% 192.07/191.94 [1843]~E(x18431,x18432)+E(f678(x18431,x18433,x18434,x18435,x18436,x18437),f678(x18432,x18433,x18434,x18435,x18436,x18437))
% 192.07/191.94 [1844]~E(x18441,x18442)+E(f678(x18443,x18441,x18444,x18445,x18446,x18447),f678(x18443,x18442,x18444,x18445,x18446,x18447))
% 192.07/191.94 [1845]~E(x18451,x18452)+E(f678(x18453,x18454,x18451,x18455,x18456,x18457),f678(x18453,x18454,x18452,x18455,x18456,x18457))
% 192.07/191.94 [1846]~E(x18461,x18462)+E(f678(x18463,x18464,x18465,x18461,x18466,x18467),f678(x18463,x18464,x18465,x18462,x18466,x18467))
% 192.07/191.94 [1847]~E(x18471,x18472)+E(f678(x18473,x18474,x18475,x18476,x18471,x18477),f678(x18473,x18474,x18475,x18476,x18472,x18477))
% 192.07/191.94 [1848]~E(x18481,x18482)+E(f678(x18483,x18484,x18485,x18486,x18487,x18481),f678(x18483,x18484,x18485,x18486,x18487,x18482))
% 192.07/191.94 [1849]~E(x18491,x18492)+E(f515(x18491,x18493,x18494,x18495),f515(x18492,x18493,x18494,x18495))
% 192.07/191.94 [1850]~E(x18501,x18502)+E(f515(x18503,x18501,x18504,x18505),f515(x18503,x18502,x18504,x18505))
% 192.07/191.94 [1851]~E(x18511,x18512)+E(f515(x18513,x18514,x18511,x18515),f515(x18513,x18514,x18512,x18515))
% 192.07/191.94 [1852]~E(x18521,x18522)+E(f515(x18523,x18524,x18525,x18521),f515(x18523,x18524,x18525,x18522))
% 192.07/191.94 [1853]~E(x18531,x18532)+E(f547(x18531,x18533),f547(x18532,x18533))
% 192.07/191.94 [1854]~E(x18541,x18542)+E(f547(x18543,x18541),f547(x18543,x18542))
% 192.07/191.94 [1855]~E(x18551,x18552)+E(f582(x18551,x18553,x18554),f582(x18552,x18553,x18554))
% 192.07/191.94 [1856]~E(x18561,x18562)+E(f582(x18563,x18561,x18564),f582(x18563,x18562,x18564))
% 192.07/191.94 [1857]~E(x18571,x18572)+E(f582(x18573,x18574,x18571),f582(x18573,x18574,x18572))
% 192.07/191.94 [1858]~E(x18581,x18582)+E(f270(x18581,x18583,x18584,x18585),f270(x18582,x18583,x18584,x18585))
% 192.07/191.94 [1859]~E(x18591,x18592)+E(f270(x18593,x18591,x18594,x18595),f270(x18593,x18592,x18594,x18595))
% 192.07/191.94 [1860]~E(x18601,x18602)+E(f270(x18603,x18604,x18601,x18605),f270(x18603,x18604,x18602,x18605))
% 192.07/191.94 [1861]~E(x18611,x18612)+E(f270(x18613,x18614,x18615,x18611),f270(x18613,x18614,x18615,x18612))
% 192.07/191.94 [1862]~E(x18621,x18622)+E(f532(x18621,x18623,x18624,x18625,x18626),f532(x18622,x18623,x18624,x18625,x18626))
% 192.07/191.94 [1863]~E(x18631,x18632)+E(f532(x18633,x18631,x18634,x18635,x18636),f532(x18633,x18632,x18634,x18635,x18636))
% 192.07/191.94 [1864]~E(x18641,x18642)+E(f532(x18643,x18644,x18641,x18645,x18646),f532(x18643,x18644,x18642,x18645,x18646))
% 192.07/191.94 [1865]~E(x18651,x18652)+E(f532(x18653,x18654,x18655,x18651,x18656),f532(x18653,x18654,x18655,x18652,x18656))
% 192.07/191.94 [1866]~E(x18661,x18662)+E(f532(x18663,x18664,x18665,x18666,x18661),f532(x18663,x18664,x18665,x18666,x18662))
% 192.07/191.94 [1867]~E(x18671,x18672)+E(f723(x18671,x18673,x18674,x18675,x18676),f723(x18672,x18673,x18674,x18675,x18676))
% 192.07/191.94 [1868]~E(x18681,x18682)+E(f723(x18683,x18681,x18684,x18685,x18686),f723(x18683,x18682,x18684,x18685,x18686))
% 192.07/191.94 [1869]~E(x18691,x18692)+E(f723(x18693,x18694,x18691,x18695,x18696),f723(x18693,x18694,x18692,x18695,x18696))
% 192.07/191.94 [1870]~E(x18701,x18702)+E(f723(x18703,x18704,x18705,x18701,x18706),f723(x18703,x18704,x18705,x18702,x18706))
% 192.07/191.94 [1871]~E(x18711,x18712)+E(f723(x18713,x18714,x18715,x18716,x18711),f723(x18713,x18714,x18715,x18716,x18712))
% 192.07/191.94 [1872]~E(x18721,x18722)+E(f752(x18721,x18723,x18724,x18725),f752(x18722,x18723,x18724,x18725))
% 192.07/191.94 [1873]~E(x18731,x18732)+E(f752(x18733,x18731,x18734,x18735),f752(x18733,x18732,x18734,x18735))
% 192.07/191.94 [1874]~E(x18741,x18742)+E(f752(x18743,x18744,x18741,x18745),f752(x18743,x18744,x18742,x18745))
% 192.07/191.94 [1875]~E(x18751,x18752)+E(f752(x18753,x18754,x18755,x18751),f752(x18753,x18754,x18755,x18752))
% 192.07/191.94 [1876]~E(x18761,x18762)+E(f501(x18761,x18763,x18764,x18765,x18766),f501(x18762,x18763,x18764,x18765,x18766))
% 192.07/191.94 [1877]~E(x18771,x18772)+E(f501(x18773,x18771,x18774,x18775,x18776),f501(x18773,x18772,x18774,x18775,x18776))
% 192.07/191.94 [1878]~E(x18781,x18782)+E(f501(x18783,x18784,x18781,x18785,x18786),f501(x18783,x18784,x18782,x18785,x18786))
% 192.07/191.94 [1879]~E(x18791,x18792)+E(f501(x18793,x18794,x18795,x18791,x18796),f501(x18793,x18794,x18795,x18792,x18796))
% 192.07/191.94 [1880]~E(x18801,x18802)+E(f501(x18803,x18804,x18805,x18806,x18801),f501(x18803,x18804,x18805,x18806,x18802))
% 192.07/191.94 [1881]~E(x18811,x18812)+E(f329(x18811,x18813,x18814,x18815),f329(x18812,x18813,x18814,x18815))
% 192.07/191.94 [1882]~E(x18821,x18822)+E(f329(x18823,x18821,x18824,x18825),f329(x18823,x18822,x18824,x18825))
% 192.07/191.94 [1883]~E(x18831,x18832)+E(f329(x18833,x18834,x18831,x18835),f329(x18833,x18834,x18832,x18835))
% 192.07/191.94 [1884]~E(x18841,x18842)+E(f329(x18843,x18844,x18845,x18841),f329(x18843,x18844,x18845,x18842))
% 192.07/191.94 [1885]~E(x18851,x18852)+E(f557(x18851,x18853),f557(x18852,x18853))
% 192.07/191.94 [1886]~E(x18861,x18862)+E(f557(x18863,x18861),f557(x18863,x18862))
% 192.07/191.94 [1887]~E(x18871,x18872)+E(f724(x18871,x18873,x18874,x18875,x18876),f724(x18872,x18873,x18874,x18875,x18876))
% 192.07/191.94 [1888]~E(x18881,x18882)+E(f724(x18883,x18881,x18884,x18885,x18886),f724(x18883,x18882,x18884,x18885,x18886))
% 192.07/191.94 [1889]~E(x18891,x18892)+E(f724(x18893,x18894,x18891,x18895,x18896),f724(x18893,x18894,x18892,x18895,x18896))
% 192.07/191.94 [1890]~E(x18901,x18902)+E(f724(x18903,x18904,x18905,x18901,x18906),f724(x18903,x18904,x18905,x18902,x18906))
% 192.07/191.94 [1891]~E(x18911,x18912)+E(f724(x18913,x18914,x18915,x18916,x18911),f724(x18913,x18914,x18915,x18916,x18912))
% 192.07/191.94 [1892]~E(x18921,x18922)+E(f448(x18921,x18923,x18924,x18925),f448(x18922,x18923,x18924,x18925))
% 192.07/191.94 [1893]~E(x18931,x18932)+E(f448(x18933,x18931,x18934,x18935),f448(x18933,x18932,x18934,x18935))
% 192.07/191.94 [1894]~E(x18941,x18942)+E(f448(x18943,x18944,x18941,x18945),f448(x18943,x18944,x18942,x18945))
% 192.07/191.94 [1895]~E(x18951,x18952)+E(f448(x18953,x18954,x18955,x18951),f448(x18953,x18954,x18955,x18952))
% 192.07/191.94 [1896]~E(x18961,x18962)+E(f776(x18961,x18963,x18964),f776(x18962,x18963,x18964))
% 192.07/191.94 [1897]~E(x18971,x18972)+E(f776(x18973,x18971,x18974),f776(x18973,x18972,x18974))
% 192.07/191.94 [1898]~E(x18981,x18982)+E(f776(x18983,x18984,x18981),f776(x18983,x18984,x18982))
% 192.07/191.94 [1899]~E(x18991,x18992)+E(f238(x18991,x18993),f238(x18992,x18993))
% 192.07/191.94 [1900]~E(x19001,x19002)+E(f238(x19003,x19001),f238(x19003,x19002))
% 192.07/191.94 [1901]~E(x19011,x19012)+E(f671(x19011,x19013,x19014,x19015,x19016),f671(x19012,x19013,x19014,x19015,x19016))
% 192.07/191.94 [1902]~E(x19021,x19022)+E(f671(x19023,x19021,x19024,x19025,x19026),f671(x19023,x19022,x19024,x19025,x19026))
% 192.07/191.94 [1903]~E(x19031,x19032)+E(f671(x19033,x19034,x19031,x19035,x19036),f671(x19033,x19034,x19032,x19035,x19036))
% 192.07/191.94 [1904]~E(x19041,x19042)+E(f671(x19043,x19044,x19045,x19041,x19046),f671(x19043,x19044,x19045,x19042,x19046))
% 192.07/191.94 [1905]~E(x19051,x19052)+E(f671(x19053,x19054,x19055,x19056,x19051),f671(x19053,x19054,x19055,x19056,x19052))
% 192.07/191.94 [1906]~E(x19061,x19062)+E(f754(x19061,x19063),f754(x19062,x19063))
% 192.07/191.94 [1907]~E(x19071,x19072)+E(f754(x19073,x19071),f754(x19073,x19072))
% 192.07/191.94 [1908]~E(x19081,x19082)+E(f608(x19081,x19083,x19084,x19085),f608(x19082,x19083,x19084,x19085))
% 192.07/191.94 [1909]~E(x19091,x19092)+E(f608(x19093,x19091,x19094,x19095),f608(x19093,x19092,x19094,x19095))
% 192.07/191.94 [1910]~E(x19101,x19102)+E(f608(x19103,x19104,x19101,x19105),f608(x19103,x19104,x19102,x19105))
% 192.07/191.94 [1911]~E(x19111,x19112)+E(f608(x19113,x19114,x19115,x19111),f608(x19113,x19114,x19115,x19112))
% 192.07/191.94 [1912]~E(x19121,x19122)+E(f553(x19121,x19123,x19124,x19125,x19126),f553(x19122,x19123,x19124,x19125,x19126))
% 192.07/191.94 [1913]~E(x19131,x19132)+E(f553(x19133,x19131,x19134,x19135,x19136),f553(x19133,x19132,x19134,x19135,x19136))
% 192.07/191.94 [1914]~E(x19141,x19142)+E(f553(x19143,x19144,x19141,x19145,x19146),f553(x19143,x19144,x19142,x19145,x19146))
% 192.07/191.94 [1915]~E(x19151,x19152)+E(f553(x19153,x19154,x19155,x19151,x19156),f553(x19153,x19154,x19155,x19152,x19156))
% 192.07/191.94 [1916]~E(x19161,x19162)+E(f553(x19163,x19164,x19165,x19166,x19161),f553(x19163,x19164,x19165,x19166,x19162))
% 192.07/191.94 [1917]~E(x19171,x19172)+E(f847(x19171),f847(x19172))
% 192.07/191.94 [1918]~E(x19181,x19182)+E(f322(x19181),f322(x19182))
% 192.07/191.94 [1919]~E(x19191,x19192)+E(f568(x19191,x19193,x19194,x19195),f568(x19192,x19193,x19194,x19195))
% 192.07/191.94 [1920]~E(x19201,x19202)+E(f568(x19203,x19201,x19204,x19205),f568(x19203,x19202,x19204,x19205))
% 192.07/191.94 [1921]~E(x19211,x19212)+E(f568(x19213,x19214,x19211,x19215),f568(x19213,x19214,x19212,x19215))
% 192.07/191.94 [1922]~E(x19221,x19222)+E(f568(x19223,x19224,x19225,x19221),f568(x19223,x19224,x19225,x19222))
% 192.07/191.94 [1923]~E(x19231,x19232)+E(f825(x19231,x19233),f825(x19232,x19233))
% 192.07/191.94 [1924]~E(x19241,x19242)+E(f825(x19243,x19241),f825(x19243,x19242))
% 192.07/191.94 [1925]~E(x19251,x19252)+E(f326(x19251,x19253,x19254),f326(x19252,x19253,x19254))
% 192.07/191.94 [1926]~E(x19261,x19262)+E(f326(x19263,x19261,x19264),f326(x19263,x19262,x19264))
% 192.07/191.94 [1927]~E(x19271,x19272)+E(f326(x19273,x19274,x19271),f326(x19273,x19274,x19272))
% 192.07/191.94 [1928]~E(x19281,x19282)+E(f830(x19281,x19283,x19284,x19285,x19286,x19287,x19288,x19289),f830(x19282,x19283,x19284,x19285,x19286,x19287,x19288,x19289))
% 192.07/191.94 [1929]~E(x19291,x19292)+E(f830(x19293,x19291,x19294,x19295,x19296,x19297,x19298,x19299),f830(x19293,x19292,x19294,x19295,x19296,x19297,x19298,x19299))
% 192.07/191.94 [1930]~E(x19301,x19302)+E(f830(x19303,x19304,x19301,x19305,x19306,x19307,x19308,x19309),f830(x19303,x19304,x19302,x19305,x19306,x19307,x19308,x19309))
% 192.07/191.94 [1931]~E(x19311,x19312)+E(f830(x19313,x19314,x19315,x19311,x19316,x19317,x19318,x19319),f830(x19313,x19314,x19315,x19312,x19316,x19317,x19318,x19319))
% 192.07/191.94 [1932]~E(x19321,x19322)+E(f830(x19323,x19324,x19325,x19326,x19321,x19327,x19328,x19329),f830(x19323,x19324,x19325,x19326,x19322,x19327,x19328,x19329))
% 192.07/191.94 [1933]~E(x19331,x19332)+E(f830(x19333,x19334,x19335,x19336,x19337,x19331,x19338,x19339),f830(x19333,x19334,x19335,x19336,x19337,x19332,x19338,x19339))
% 192.07/191.94 [1934]~E(x19341,x19342)+E(f830(x19343,x19344,x19345,x19346,x19347,x19348,x19341,x19349),f830(x19343,x19344,x19345,x19346,x19347,x19348,x19342,x19349))
% 192.07/191.94 [1935]~E(x19351,x19352)+E(f830(x19353,x19354,x19355,x19356,x19357,x19358,x19359,x19351),f830(x19353,x19354,x19355,x19356,x19357,x19358,x19359,x19352))
% 192.07/191.94 [1936]~E(x19361,x19362)+E(f786(x19361,x19363,x19364),f786(x19362,x19363,x19364))
% 192.07/191.94 [1937]~E(x19371,x19372)+E(f786(x19373,x19371,x19374),f786(x19373,x19372,x19374))
% 192.07/191.94 [1938]~E(x19381,x19382)+E(f786(x19383,x19384,x19381),f786(x19383,x19384,x19382))
% 192.07/191.94 [1939]~E(x19391,x19392)+E(f742(x19391,x19393,x19394,x19395,x19396),f742(x19392,x19393,x19394,x19395,x19396))
% 192.07/191.94 [1940]~E(x19401,x19402)+E(f742(x19403,x19401,x19404,x19405,x19406),f742(x19403,x19402,x19404,x19405,x19406))
% 192.07/191.94 [1941]~E(x19411,x19412)+E(f742(x19413,x19414,x19411,x19415,x19416),f742(x19413,x19414,x19412,x19415,x19416))
% 192.07/191.94 [1942]~E(x19421,x19422)+E(f742(x19423,x19424,x19425,x19421,x19426),f742(x19423,x19424,x19425,x19422,x19426))
% 192.07/191.94 [1943]~E(x19431,x19432)+E(f742(x19433,x19434,x19435,x19436,x19431),f742(x19433,x19434,x19435,x19436,x19432))
% 192.07/191.94 [1944]~E(x19441,x19442)+E(f62(x19441,x19443,x19444),f62(x19442,x19443,x19444))
% 192.07/191.94 [1945]~E(x19451,x19452)+E(f62(x19453,x19451,x19454),f62(x19453,x19452,x19454))
% 192.07/191.94 [1946]~E(x19461,x19462)+E(f62(x19463,x19464,x19461),f62(x19463,x19464,x19462))
% 192.07/191.94 [1947]~E(x19471,x19472)+E(f636(x19471,x19473,x19474),f636(x19472,x19473,x19474))
% 192.07/191.94 [1948]~E(x19481,x19482)+E(f636(x19483,x19481,x19484),f636(x19483,x19482,x19484))
% 192.07/191.94 [1949]~E(x19491,x19492)+E(f636(x19493,x19494,x19491),f636(x19493,x19494,x19492))
% 192.07/191.94 [1950]~E(x19501,x19502)+E(f437(x19501,x19503,x19504),f437(x19502,x19503,x19504))
% 192.07/191.94 [1951]~E(x19511,x19512)+E(f437(x19513,x19511,x19514),f437(x19513,x19512,x19514))
% 192.07/191.94 [1952]~E(x19521,x19522)+E(f437(x19523,x19524,x19521),f437(x19523,x19524,x19522))
% 192.07/191.94 [1953]~E(x19531,x19532)+E(f630(x19531,x19533),f630(x19532,x19533))
% 192.07/191.94 [1954]~E(x19541,x19542)+E(f630(x19543,x19541),f630(x19543,x19542))
% 192.07/191.94 [1955]~E(x19551,x19552)+E(f494(x19551,x19553,x19554,x19555,x19556),f494(x19552,x19553,x19554,x19555,x19556))
% 192.07/191.94 [1956]~E(x19561,x19562)+E(f494(x19563,x19561,x19564,x19565,x19566),f494(x19563,x19562,x19564,x19565,x19566))
% 192.07/191.94 [1957]~E(x19571,x19572)+E(f494(x19573,x19574,x19571,x19575,x19576),f494(x19573,x19574,x19572,x19575,x19576))
% 192.07/191.94 [1958]~E(x19581,x19582)+E(f494(x19583,x19584,x19585,x19581,x19586),f494(x19583,x19584,x19585,x19582,x19586))
% 192.07/191.94 [1959]~E(x19591,x19592)+E(f494(x19593,x19594,x19595,x19596,x19591),f494(x19593,x19594,x19595,x19596,x19592))
% 192.07/191.94 [1960]~E(x19601,x19602)+E(f347(x19601,x19603,x19604,x19605),f347(x19602,x19603,x19604,x19605))
% 192.07/191.94 [1961]~E(x19611,x19612)+E(f347(x19613,x19611,x19614,x19615),f347(x19613,x19612,x19614,x19615))
% 192.07/191.94 [1962]~E(x19621,x19622)+E(f347(x19623,x19624,x19621,x19625),f347(x19623,x19624,x19622,x19625))
% 192.07/191.94 [1963]~E(x19631,x19632)+E(f347(x19633,x19634,x19635,x19631),f347(x19633,x19634,x19635,x19632))
% 192.07/191.94 [1964]~E(x19641,x19642)+E(f831(x19641,x19643,x19644,x19645,x19646,x19647,x19648,x19649),f831(x19642,x19643,x19644,x19645,x19646,x19647,x19648,x19649))
% 192.07/191.94 [1965]~E(x19651,x19652)+E(f831(x19653,x19651,x19654,x19655,x19656,x19657,x19658,x19659),f831(x19653,x19652,x19654,x19655,x19656,x19657,x19658,x19659))
% 192.07/191.94 [1966]~E(x19661,x19662)+E(f831(x19663,x19664,x19661,x19665,x19666,x19667,x19668,x19669),f831(x19663,x19664,x19662,x19665,x19666,x19667,x19668,x19669))
% 192.07/191.94 [1967]~E(x19671,x19672)+E(f831(x19673,x19674,x19675,x19671,x19676,x19677,x19678,x19679),f831(x19673,x19674,x19675,x19672,x19676,x19677,x19678,x19679))
% 192.07/191.94 [1968]~E(x19681,x19682)+E(f831(x19683,x19684,x19685,x19686,x19681,x19687,x19688,x19689),f831(x19683,x19684,x19685,x19686,x19682,x19687,x19688,x19689))
% 192.07/191.94 [1969]~E(x19691,x19692)+E(f831(x19693,x19694,x19695,x19696,x19697,x19691,x19698,x19699),f831(x19693,x19694,x19695,x19696,x19697,x19692,x19698,x19699))
% 192.07/191.94 [1970]~E(x19701,x19702)+E(f831(x19703,x19704,x19705,x19706,x19707,x19708,x19701,x19709),f831(x19703,x19704,x19705,x19706,x19707,x19708,x19702,x19709))
% 192.07/191.94 [1971]~E(x19711,x19712)+E(f831(x19713,x19714,x19715,x19716,x19717,x19718,x19719,x19711),f831(x19713,x19714,x19715,x19716,x19717,x19718,x19719,x19712))
% 192.07/191.94 [1972]~E(x19721,x19722)+E(f509(x19721,x19723,x19724,x19725,x19726),f509(x19722,x19723,x19724,x19725,x19726))
% 192.07/191.94 [1973]~E(x19731,x19732)+E(f509(x19733,x19731,x19734,x19735,x19736),f509(x19733,x19732,x19734,x19735,x19736))
% 192.07/191.94 [1974]~E(x19741,x19742)+E(f509(x19743,x19744,x19741,x19745,x19746),f509(x19743,x19744,x19742,x19745,x19746))
% 192.07/191.94 [1975]~E(x19751,x19752)+E(f509(x19753,x19754,x19755,x19751,x19756),f509(x19753,x19754,x19755,x19752,x19756))
% 192.07/191.94 [1976]~E(x19761,x19762)+E(f509(x19763,x19764,x19765,x19766,x19761),f509(x19763,x19764,x19765,x19766,x19762))
% 192.07/191.94 [1977]~E(x19771,x19772)+E(f670(x19771,x19773,x19774,x19775),f670(x19772,x19773,x19774,x19775))
% 192.07/191.94 [1978]~E(x19781,x19782)+E(f670(x19783,x19781,x19784,x19785),f670(x19783,x19782,x19784,x19785))
% 192.07/191.94 [1979]~E(x19791,x19792)+E(f670(x19793,x19794,x19791,x19795),f670(x19793,x19794,x19792,x19795))
% 192.07/191.94 [1980]~E(x19801,x19802)+E(f670(x19803,x19804,x19805,x19801),f670(x19803,x19804,x19805,x19802))
% 192.07/191.94 [1981]~E(x19811,x19812)+E(f552(x19811,x19813,x19814,x19815,x19816),f552(x19812,x19813,x19814,x19815,x19816))
% 192.07/191.94 [1982]~E(x19821,x19822)+E(f552(x19823,x19821,x19824,x19825,x19826),f552(x19823,x19822,x19824,x19825,x19826))
% 192.07/191.94 [1983]~E(x19831,x19832)+E(f552(x19833,x19834,x19831,x19835,x19836),f552(x19833,x19834,x19832,x19835,x19836))
% 192.07/191.94 [1984]~E(x19841,x19842)+E(f552(x19843,x19844,x19845,x19841,x19846),f552(x19843,x19844,x19845,x19842,x19846))
% 192.07/191.94 [1985]~E(x19851,x19852)+E(f552(x19853,x19854,x19855,x19856,x19851),f552(x19853,x19854,x19855,x19856,x19852))
% 192.07/191.94 [1986]~E(x19861,x19862)+E(f698(x19861,x19863),f698(x19862,x19863))
% 192.07/191.94 [1987]~E(x19871,x19872)+E(f698(x19873,x19871),f698(x19873,x19872))
% 192.07/191.94 [1988]~E(x19881,x19882)+E(f682(x19881),f682(x19882))
% 192.07/191.94 [1989]~E(x19891,x19892)+E(f624(x19891,x19893,x19894,x19895),f624(x19892,x19893,x19894,x19895))
% 192.07/191.94 [1990]~E(x19901,x19902)+E(f624(x19903,x19901,x19904,x19905),f624(x19903,x19902,x19904,x19905))
% 192.07/191.94 [1991]~E(x19911,x19912)+E(f624(x19913,x19914,x19911,x19915),f624(x19913,x19914,x19912,x19915))
% 192.07/191.94 [1992]~E(x19921,x19922)+E(f624(x19923,x19924,x19925,x19921),f624(x19923,x19924,x19925,x19922))
% 192.07/191.94 [1993]~E(x19931,x19932)+E(f50(x19931,x19933),f50(x19932,x19933))
% 192.07/191.94 [1994]~E(x19941,x19942)+E(f50(x19943,x19941),f50(x19943,x19942))
% 192.07/191.94 [1995]~E(x19951,x19952)+E(f914(x19951),f914(x19952))
% 192.07/191.94 [1996]~E(x19961,x19962)+E(f747(x19961,x19963,x19964),f747(x19962,x19963,x19964))
% 192.07/191.94 [1997]~E(x19971,x19972)+E(f747(x19973,x19971,x19974),f747(x19973,x19972,x19974))
% 192.07/191.94 [1998]~E(x19981,x19982)+E(f747(x19983,x19984,x19981),f747(x19983,x19984,x19982))
% 192.07/191.94 [1999]~E(x19991,x19992)+E(f193(x19991,x19993,x19994),f193(x19992,x19993,x19994))
% 192.07/191.94 [2000]~E(x20001,x20002)+E(f193(x20003,x20001,x20004),f193(x20003,x20002,x20004))
% 192.07/191.94 [2001]~E(x20011,x20012)+E(f193(x20013,x20014,x20011),f193(x20013,x20014,x20012))
% 192.07/191.94 [2002]~E(x20021,x20022)+E(f288(x20021,x20023,x20024),f288(x20022,x20023,x20024))
% 192.07/191.94 [2003]~E(x20031,x20032)+E(f288(x20033,x20031,x20034),f288(x20033,x20032,x20034))
% 192.07/191.94 [2004]~E(x20041,x20042)+E(f288(x20043,x20044,x20041),f288(x20043,x20044,x20042))
% 192.07/191.94 [2005]~E(x20051,x20052)+E(f622(x20051,x20053,x20054,x20055),f622(x20052,x20053,x20054,x20055))
% 192.07/191.94 [2006]~E(x20061,x20062)+E(f622(x20063,x20061,x20064,x20065),f622(x20063,x20062,x20064,x20065))
% 192.07/191.94 [2007]~E(x20071,x20072)+E(f622(x20073,x20074,x20071,x20075),f622(x20073,x20074,x20072,x20075))
% 192.07/191.94 [2008]~E(x20081,x20082)+E(f622(x20083,x20084,x20085,x20081),f622(x20083,x20084,x20085,x20082))
% 192.07/191.94 [2009]~E(x20091,x20092)+E(f581(x20091,x20093,x20094,x20095),f581(x20092,x20093,x20094,x20095))
% 192.07/191.94 [2010]~E(x20101,x20102)+E(f581(x20103,x20101,x20104,x20105),f581(x20103,x20102,x20104,x20105))
% 192.07/191.94 [2011]~E(x20111,x20112)+E(f581(x20113,x20114,x20111,x20115),f581(x20113,x20114,x20112,x20115))
% 192.07/191.94 [2012]~E(x20121,x20122)+E(f581(x20123,x20124,x20125,x20121),f581(x20123,x20124,x20125,x20122))
% 192.07/191.94 [2013]~E(x20131,x20132)+E(f467(x20131,x20133,x20134),f467(x20132,x20133,x20134))
% 192.07/191.94 [2014]~E(x20141,x20142)+E(f467(x20143,x20141,x20144),f467(x20143,x20142,x20144))
% 192.07/191.94 [2015]~E(x20151,x20152)+E(f467(x20153,x20154,x20151),f467(x20153,x20154,x20152))
% 192.07/191.94 [2016]~E(x20161,x20162)+E(f658(x20161,x20163,x20164,x20165),f658(x20162,x20163,x20164,x20165))
% 192.07/191.94 [2017]~E(x20171,x20172)+E(f658(x20173,x20171,x20174,x20175),f658(x20173,x20172,x20174,x20175))
% 192.07/191.94 [2018]~E(x20181,x20182)+E(f658(x20183,x20184,x20181,x20185),f658(x20183,x20184,x20182,x20185))
% 192.07/191.94 [2019]~E(x20191,x20192)+E(f658(x20193,x20194,x20195,x20191),f658(x20193,x20194,x20195,x20192))
% 192.07/191.94 [2020]~E(x20201,x20202)+E(f536(x20201,x20203,x20204,x20205),f536(x20202,x20203,x20204,x20205))
% 192.07/191.94 [2021]~E(x20211,x20212)+E(f536(x20213,x20211,x20214,x20215),f536(x20213,x20212,x20214,x20215))
% 192.07/191.94 [2022]~E(x20221,x20222)+E(f536(x20223,x20224,x20221,x20225),f536(x20223,x20224,x20222,x20225))
% 192.07/191.94 [2023]~E(x20231,x20232)+E(f536(x20233,x20234,x20235,x20231),f536(x20233,x20234,x20235,x20232))
% 192.07/191.94 [2024]~E(x20241,x20242)+E(f549(x20241,x20243,x20244,x20245,x20246),f549(x20242,x20243,x20244,x20245,x20246))
% 192.07/191.94 [2025]~E(x20251,x20252)+E(f549(x20253,x20251,x20254,x20255,x20256),f549(x20253,x20252,x20254,x20255,x20256))
% 192.07/191.94 [2026]~E(x20261,x20262)+E(f549(x20263,x20264,x20261,x20265,x20266),f549(x20263,x20264,x20262,x20265,x20266))
% 192.07/191.94 [2027]~E(x20271,x20272)+E(f549(x20273,x20274,x20275,x20271,x20276),f549(x20273,x20274,x20275,x20272,x20276))
% 192.07/191.94 [2028]~E(x20281,x20282)+E(f549(x20283,x20284,x20285,x20286,x20281),f549(x20283,x20284,x20285,x20286,x20282))
% 192.07/191.94 [2029]~E(x20291,x20292)+E(f406(x20291,x20293,x20294),f406(x20292,x20293,x20294))
% 192.07/191.94 [2030]~E(x20301,x20302)+E(f406(x20303,x20301,x20304),f406(x20303,x20302,x20304))
% 192.07/191.94 [2031]~E(x20311,x20312)+E(f406(x20313,x20314,x20311),f406(x20313,x20314,x20312))
% 192.07/191.94 [2032]~E(x20321,x20322)+E(f629(x20321,x20323),f629(x20322,x20323))
% 192.07/191.94 [2033]~E(x20331,x20332)+E(f629(x20333,x20331),f629(x20333,x20332))
% 192.07/191.94 [2034]~E(x20341,x20342)+E(f892(x20341,x20343,x20344,x20345),f892(x20342,x20343,x20344,x20345))
% 192.07/191.94 [2035]~E(x20351,x20352)+E(f892(x20353,x20351,x20354,x20355),f892(x20353,x20352,x20354,x20355))
% 192.07/191.94 [2036]~E(x20361,x20362)+E(f892(x20363,x20364,x20361,x20365),f892(x20363,x20364,x20362,x20365))
% 192.07/191.94 [2037]~E(x20371,x20372)+E(f892(x20373,x20374,x20375,x20371),f892(x20373,x20374,x20375,x20372))
% 192.07/191.94 [2038]~E(x20381,x20382)+E(f544(x20381,x20383,x20384,x20385,x20386,x20387),f544(x20382,x20383,x20384,x20385,x20386,x20387))
% 192.07/191.94 [2039]~E(x20391,x20392)+E(f544(x20393,x20391,x20394,x20395,x20396,x20397),f544(x20393,x20392,x20394,x20395,x20396,x20397))
% 192.07/191.94 [2040]~E(x20401,x20402)+E(f544(x20403,x20404,x20401,x20405,x20406,x20407),f544(x20403,x20404,x20402,x20405,x20406,x20407))
% 192.07/191.94 [2041]~E(x20411,x20412)+E(f544(x20413,x20414,x20415,x20411,x20416,x20417),f544(x20413,x20414,x20415,x20412,x20416,x20417))
% 192.07/191.94 [2042]~E(x20421,x20422)+E(f544(x20423,x20424,x20425,x20426,x20421,x20427),f544(x20423,x20424,x20425,x20426,x20422,x20427))
% 192.07/191.94 [2043]~E(x20431,x20432)+E(f544(x20433,x20434,x20435,x20436,x20437,x20431),f544(x20433,x20434,x20435,x20436,x20437,x20432))
% 192.07/191.94 [2044]~E(x20441,x20442)+E(f580(x20441,x20443,x20444),f580(x20442,x20443,x20444))
% 192.07/191.94 [2045]~E(x20451,x20452)+E(f580(x20453,x20451,x20454),f580(x20453,x20452,x20454))
% 192.07/191.94 [2046]~E(x20461,x20462)+E(f580(x20463,x20464,x20461),f580(x20463,x20464,x20462))
% 192.07/191.94 [2047]~E(x20471,x20472)+E(f606(x20471,x20473),f606(x20472,x20473))
% 192.07/191.94 [2048]~E(x20481,x20482)+E(f606(x20483,x20481),f606(x20483,x20482))
% 192.07/191.94 [2049]~E(x20491,x20492)+E(f34(x20491),f34(x20492))
% 192.07/191.94 [2050]~E(x20501,x20502)+E(f603(x20501,x20503,x20504,x20505),f603(x20502,x20503,x20504,x20505))
% 192.07/191.94 [2051]~E(x20511,x20512)+E(f603(x20513,x20511,x20514,x20515),f603(x20513,x20512,x20514,x20515))
% 192.07/191.94 [2052]~E(x20521,x20522)+E(f603(x20523,x20524,x20521,x20525),f603(x20523,x20524,x20522,x20525))
% 192.07/191.94 [2053]~E(x20531,x20532)+E(f603(x20533,x20534,x20535,x20531),f603(x20533,x20534,x20535,x20532))
% 192.07/191.94 [2054]~E(x20541,x20542)+E(f387(x20541,x20543,x20544,x20545,x20546),f387(x20542,x20543,x20544,x20545,x20546))
% 192.07/191.94 [2055]~E(x20551,x20552)+E(f387(x20553,x20551,x20554,x20555,x20556),f387(x20553,x20552,x20554,x20555,x20556))
% 192.07/191.94 [2056]~E(x20561,x20562)+E(f387(x20563,x20564,x20561,x20565,x20566),f387(x20563,x20564,x20562,x20565,x20566))
% 192.07/191.94 [2057]~E(x20571,x20572)+E(f387(x20573,x20574,x20575,x20571,x20576),f387(x20573,x20574,x20575,x20572,x20576))
% 192.07/191.94 [2058]~E(x20581,x20582)+E(f387(x20583,x20584,x20585,x20586,x20581),f387(x20583,x20584,x20585,x20586,x20582))
% 192.07/191.94 [2059]~E(x20591,x20592)+E(f512(x20591),f512(x20592))
% 192.07/191.94 [2060]~E(x20601,x20602)+E(f453(x20601,x20603),f453(x20602,x20603))
% 192.07/191.94 [2061]~E(x20611,x20612)+E(f453(x20613,x20611),f453(x20613,x20612))
% 192.07/191.94 [2062]~E(x20621,x20622)+E(f458(x20621,x20623),f458(x20622,x20623))
% 192.07/191.94 [2063]~E(x20631,x20632)+E(f458(x20633,x20631),f458(x20633,x20632))
% 192.07/191.94 [2064]~E(x20641,x20642)+E(f268(x20641),f268(x20642))
% 192.07/191.94 [2065]~E(x20651,x20652)+E(f744(x20651,x20653,x20654,x20655,x20656,x20657),f744(x20652,x20653,x20654,x20655,x20656,x20657))
% 192.07/191.94 [2066]~E(x20661,x20662)+E(f744(x20663,x20661,x20664,x20665,x20666,x20667),f744(x20663,x20662,x20664,x20665,x20666,x20667))
% 192.07/191.94 [2067]~E(x20671,x20672)+E(f744(x20673,x20674,x20671,x20675,x20676,x20677),f744(x20673,x20674,x20672,x20675,x20676,x20677))
% 192.07/191.94 [2068]~E(x20681,x20682)+E(f744(x20683,x20684,x20685,x20681,x20686,x20687),f744(x20683,x20684,x20685,x20682,x20686,x20687))
% 192.07/191.94 [2069]~E(x20691,x20692)+E(f744(x20693,x20694,x20695,x20696,x20691,x20697),f744(x20693,x20694,x20695,x20696,x20692,x20697))
% 192.07/191.94 [2070]~E(x20701,x20702)+E(f744(x20703,x20704,x20705,x20706,x20707,x20701),f744(x20703,x20704,x20705,x20706,x20707,x20702))
% 192.07/191.94 [2071]~E(x20711,x20712)+E(f577(x20711,x20713,x20714,x20715,x20716),f577(x20712,x20713,x20714,x20715,x20716))
% 192.07/191.94 [2072]~E(x20721,x20722)+E(f577(x20723,x20721,x20724,x20725,x20726),f577(x20723,x20722,x20724,x20725,x20726))
% 192.07/191.94 [2073]~E(x20731,x20732)+E(f577(x20733,x20734,x20731,x20735,x20736),f577(x20733,x20734,x20732,x20735,x20736))
% 192.07/191.94 [2074]~E(x20741,x20742)+E(f577(x20743,x20744,x20745,x20741,x20746),f577(x20743,x20744,x20745,x20742,x20746))
% 192.07/191.94 [2075]~E(x20751,x20752)+E(f577(x20753,x20754,x20755,x20756,x20751),f577(x20753,x20754,x20755,x20756,x20752))
% 192.07/191.94 [2076]~E(x20761,x20762)+E(f344(x20761,x20763,x20764,x20765),f344(x20762,x20763,x20764,x20765))
% 192.07/191.94 [2077]~E(x20771,x20772)+E(f344(x20773,x20771,x20774,x20775),f344(x20773,x20772,x20774,x20775))
% 192.07/191.94 [2078]~E(x20781,x20782)+E(f344(x20783,x20784,x20781,x20785),f344(x20783,x20784,x20782,x20785))
% 192.07/191.94 [2079]~E(x20791,x20792)+E(f344(x20793,x20794,x20795,x20791),f344(x20793,x20794,x20795,x20792))
% 192.07/191.94 [2080]~E(x20801,x20802)+E(f683(x20801,x20803,x20804),f683(x20802,x20803,x20804))
% 192.07/191.94 [2081]~E(x20811,x20812)+E(f683(x20813,x20811,x20814),f683(x20813,x20812,x20814))
% 192.07/191.94 [2082]~E(x20821,x20822)+E(f683(x20823,x20824,x20821),f683(x20823,x20824,x20822))
% 192.07/191.94 [2083]~E(x20831,x20832)+E(f559(x20831,x20833,x20834,x20835,x20836,x20837,x20838),f559(x20832,x20833,x20834,x20835,x20836,x20837,x20838))
% 192.07/191.94 [2084]~E(x20841,x20842)+E(f559(x20843,x20841,x20844,x20845,x20846,x20847,x20848),f559(x20843,x20842,x20844,x20845,x20846,x20847,x20848))
% 192.07/191.94 [2085]~E(x20851,x20852)+E(f559(x20853,x20854,x20851,x20855,x20856,x20857,x20858),f559(x20853,x20854,x20852,x20855,x20856,x20857,x20858))
% 192.07/191.94 [2086]~E(x20861,x20862)+E(f559(x20863,x20864,x20865,x20861,x20866,x20867,x20868),f559(x20863,x20864,x20865,x20862,x20866,x20867,x20868))
% 192.07/191.94 [2087]~E(x20871,x20872)+E(f559(x20873,x20874,x20875,x20876,x20871,x20877,x20878),f559(x20873,x20874,x20875,x20876,x20872,x20877,x20878))
% 192.07/191.94 [2088]~E(x20881,x20882)+E(f559(x20883,x20884,x20885,x20886,x20887,x20881,x20888),f559(x20883,x20884,x20885,x20886,x20887,x20882,x20888))
% 192.07/191.94 [2089]~E(x20891,x20892)+E(f559(x20893,x20894,x20895,x20896,x20897,x20898,x20891),f559(x20893,x20894,x20895,x20896,x20897,x20898,x20892))
% 192.07/191.94 [2090]~E(x20901,x20902)+E(f286(x20901,x20903,x20904),f286(x20902,x20903,x20904))
% 192.07/191.94 [2091]~E(x20911,x20912)+E(f286(x20913,x20911,x20914),f286(x20913,x20912,x20914))
% 192.07/191.94 [2092]~E(x20921,x20922)+E(f286(x20923,x20924,x20921),f286(x20923,x20924,x20922))
% 192.07/191.94 [2093]~E(x20931,x20932)+E(f870(x20931,x20933),f870(x20932,x20933))
% 192.07/191.94 [2094]~E(x20941,x20942)+E(f870(x20943,x20941),f870(x20943,x20942))
% 192.07/191.94 [2095]~E(x20951,x20952)+E(f615(x20951,x20953),f615(x20952,x20953))
% 192.07/191.94 [2096]~E(x20961,x20962)+E(f615(x20963,x20961),f615(x20963,x20962))
% 192.07/191.94 [2097]~E(x20971,x20972)+E(f739(x20971,x20973,x20974,x20975),f739(x20972,x20973,x20974,x20975))
% 192.07/191.94 [2098]~E(x20981,x20982)+E(f739(x20983,x20981,x20984,x20985),f739(x20983,x20982,x20984,x20985))
% 192.07/191.94 [2099]~E(x20991,x20992)+E(f739(x20993,x20994,x20991,x20995),f739(x20993,x20994,x20992,x20995))
% 192.07/191.94 [2100]~E(x21001,x21002)+E(f739(x21003,x21004,x21005,x21001),f739(x21003,x21004,x21005,x21002))
% 192.07/191.94 [2101]~E(x21011,x21012)+E(f588(x21011,x21013,x21014,x21015),f588(x21012,x21013,x21014,x21015))
% 192.07/191.94 [2102]~E(x21021,x21022)+E(f588(x21023,x21021,x21024,x21025),f588(x21023,x21022,x21024,x21025))
% 192.07/191.94 [2103]~E(x21031,x21032)+E(f588(x21033,x21034,x21031,x21035),f588(x21033,x21034,x21032,x21035))
% 192.07/191.94 [2104]~E(x21041,x21042)+E(f588(x21043,x21044,x21045,x21041),f588(x21043,x21044,x21045,x21042))
% 192.07/191.94 [2105]~E(x21051,x21052)+E(f821(x21051,x21053),f821(x21052,x21053))
% 192.07/191.94 [2106]~E(x21061,x21062)+E(f821(x21063,x21061),f821(x21063,x21062))
% 192.07/191.94 [2107]~E(x21071,x21072)+E(f564(x21071,x21073,x21074),f564(x21072,x21073,x21074))
% 192.07/191.94 [2108]~E(x21081,x21082)+E(f564(x21083,x21081,x21084),f564(x21083,x21082,x21084))
% 192.07/191.94 [2109]~E(x21091,x21092)+E(f564(x21093,x21094,x21091),f564(x21093,x21094,x21092))
% 192.07/191.94 [2110]~E(x21101,x21102)+E(f470(x21101,x21103,x21104,x21105),f470(x21102,x21103,x21104,x21105))
% 192.07/191.94 [2111]~E(x21111,x21112)+E(f470(x21113,x21111,x21114,x21115),f470(x21113,x21112,x21114,x21115))
% 192.07/191.94 [2112]~E(x21121,x21122)+E(f470(x21123,x21124,x21121,x21125),f470(x21123,x21124,x21122,x21125))
% 192.07/191.94 [2113]~E(x21131,x21132)+E(f470(x21133,x21134,x21135,x21131),f470(x21133,x21134,x21135,x21132))
% 192.07/191.94 [2114]~E(x21141,x21142)+E(f436(x21141,x21143,x21144),f436(x21142,x21143,x21144))
% 192.07/191.94 [2115]~E(x21151,x21152)+E(f436(x21153,x21151,x21154),f436(x21153,x21152,x21154))
% 192.07/191.94 [2116]~E(x21161,x21162)+E(f436(x21163,x21164,x21161),f436(x21163,x21164,x21162))
% 192.07/191.94 [2117]~E(x21171,x21172)+E(f351(x21171,x21173,x21174,x21175,x21176),f351(x21172,x21173,x21174,x21175,x21176))
% 192.07/191.94 [2118]~E(x21181,x21182)+E(f351(x21183,x21181,x21184,x21185,x21186),f351(x21183,x21182,x21184,x21185,x21186))
% 192.07/191.94 [2119]~E(x21191,x21192)+E(f351(x21193,x21194,x21191,x21195,x21196),f351(x21193,x21194,x21192,x21195,x21196))
% 192.07/191.94 [2120]~E(x21201,x21202)+E(f351(x21203,x21204,x21205,x21201,x21206),f351(x21203,x21204,x21205,x21202,x21206))
% 192.07/191.94 [2121]~E(x21211,x21212)+E(f351(x21213,x21214,x21215,x21216,x21211),f351(x21213,x21214,x21215,x21216,x21212))
% 192.07/191.94 [2122]~E(x21221,x21222)+E(f484(x21221,x21223,x21224,x21225,x21226),f484(x21222,x21223,x21224,x21225,x21226))
% 192.07/191.94 [2123]~E(x21231,x21232)+E(f484(x21233,x21231,x21234,x21235,x21236),f484(x21233,x21232,x21234,x21235,x21236))
% 192.07/191.94 [2124]~E(x21241,x21242)+E(f484(x21243,x21244,x21241,x21245,x21246),f484(x21243,x21244,x21242,x21245,x21246))
% 192.07/191.94 [2125]~E(x21251,x21252)+E(f484(x21253,x21254,x21255,x21251,x21256),f484(x21253,x21254,x21255,x21252,x21256))
% 192.07/191.94 [2126]~E(x21261,x21262)+E(f484(x21263,x21264,x21265,x21266,x21261),f484(x21263,x21264,x21265,x21266,x21262))
% 192.07/191.94 [2127]~E(x21271,x21272)+E(f457(x21271,x21273,x21274),f457(x21272,x21273,x21274))
% 192.07/191.94 [2128]~E(x21281,x21282)+E(f457(x21283,x21281,x21284),f457(x21283,x21282,x21284))
% 192.07/191.94 [2129]~E(x21291,x21292)+E(f457(x21293,x21294,x21291),f457(x21293,x21294,x21292))
% 192.07/191.94 [2130]~E(x21301,x21302)+E(f338(x21301,x21303,x21304,x21305,x21306),f338(x21302,x21303,x21304,x21305,x21306))
% 192.07/191.94 [2131]~E(x21311,x21312)+E(f338(x21313,x21311,x21314,x21315,x21316),f338(x21313,x21312,x21314,x21315,x21316))
% 192.07/191.94 [2132]~E(x21321,x21322)+E(f338(x21323,x21324,x21321,x21325,x21326),f338(x21323,x21324,x21322,x21325,x21326))
% 192.07/191.94 [2133]~E(x21331,x21332)+E(f338(x21333,x21334,x21335,x21331,x21336),f338(x21333,x21334,x21335,x21332,x21336))
% 192.07/191.94 [2134]~E(x21341,x21342)+E(f338(x21343,x21344,x21345,x21346,x21341),f338(x21343,x21344,x21345,x21346,x21342))
% 192.07/191.94 [2135]~E(x21351,x21352)+E(f201(x21351,x21353,x21354,x21355,x21356,x21357,x21358),f201(x21352,x21353,x21354,x21355,x21356,x21357,x21358))
% 192.07/191.94 [2136]~E(x21361,x21362)+E(f201(x21363,x21361,x21364,x21365,x21366,x21367,x21368),f201(x21363,x21362,x21364,x21365,x21366,x21367,x21368))
% 192.07/191.94 [2137]~E(x21371,x21372)+E(f201(x21373,x21374,x21371,x21375,x21376,x21377,x21378),f201(x21373,x21374,x21372,x21375,x21376,x21377,x21378))
% 192.07/191.94 [2138]~E(x21381,x21382)+E(f201(x21383,x21384,x21385,x21381,x21386,x21387,x21388),f201(x21383,x21384,x21385,x21382,x21386,x21387,x21388))
% 192.07/191.94 [2139]~E(x21391,x21392)+E(f201(x21393,x21394,x21395,x21396,x21391,x21397,x21398),f201(x21393,x21394,x21395,x21396,x21392,x21397,x21398))
% 192.07/191.94 [2140]~E(x21401,x21402)+E(f201(x21403,x21404,x21405,x21406,x21407,x21401,x21408),f201(x21403,x21404,x21405,x21406,x21407,x21402,x21408))
% 192.07/191.94 [2141]~E(x21411,x21412)+E(f201(x21413,x21414,x21415,x21416,x21417,x21418,x21411),f201(x21413,x21414,x21415,x21416,x21417,x21418,x21412))
% 192.07/191.94 [2142]~E(x21421,x21422)+E(f817(x21421,x21423,x21424),f817(x21422,x21423,x21424))
% 192.07/191.94 [2143]~E(x21431,x21432)+E(f817(x21433,x21431,x21434),f817(x21433,x21432,x21434))
% 192.07/191.94 [2144]~E(x21441,x21442)+E(f817(x21443,x21444,x21441),f817(x21443,x21444,x21442))
% 192.07/191.94 [2145]~E(x21451,x21452)+E(f571(x21451,x21453,x21454),f571(x21452,x21453,x21454))
% 192.07/191.94 [2146]~E(x21461,x21462)+E(f571(x21463,x21461,x21464),f571(x21463,x21462,x21464))
% 192.07/191.94 [2147]~E(x21471,x21472)+E(f571(x21473,x21474,x21471),f571(x21473,x21474,x21472))
% 192.07/191.94 [2148]~E(x21481,x21482)+E(f339(x21481,x21483),f339(x21482,x21483))
% 192.07/191.94 [2149]~E(x21491,x21492)+E(f339(x21493,x21491),f339(x21493,x21492))
% 192.07/191.94 [2150]~E(x21501,x21502)+E(f285(x21501,x21503,x21504),f285(x21502,x21503,x21504))
% 192.07/191.94 [2151]~E(x21511,x21512)+E(f285(x21513,x21511,x21514),f285(x21513,x21512,x21514))
% 192.07/191.94 [2152]~E(x21521,x21522)+E(f285(x21523,x21524,x21521),f285(x21523,x21524,x21522))
% 192.07/191.94 [2153]~E(x21531,x21532)+E(f255(x21531,x21533,x21534),f255(x21532,x21533,x21534))
% 192.07/191.94 [2154]~E(x21541,x21542)+E(f255(x21543,x21541,x21544),f255(x21543,x21542,x21544))
% 192.07/191.94 [2155]~E(x21551,x21552)+E(f255(x21553,x21554,x21551),f255(x21553,x21554,x21552))
% 192.07/191.94 [2156]~E(x21561,x21562)+E(f399(x21561,x21563,x21564),f399(x21562,x21563,x21564))
% 192.07/191.94 [2157]~E(x21571,x21572)+E(f399(x21573,x21571,x21574),f399(x21573,x21572,x21574))
% 192.07/191.94 [2158]~E(x21581,x21582)+E(f399(x21583,x21584,x21581),f399(x21583,x21584,x21582))
% 192.07/191.94 [2159]~E(x21591,x21592)+E(f492(x21591,x21593,x21594,x21595,x21596),f492(x21592,x21593,x21594,x21595,x21596))
% 192.07/191.94 [2160]~E(x21601,x21602)+E(f492(x21603,x21601,x21604,x21605,x21606),f492(x21603,x21602,x21604,x21605,x21606))
% 192.07/191.94 [2161]~E(x21611,x21612)+E(f492(x21613,x21614,x21611,x21615,x21616),f492(x21613,x21614,x21612,x21615,x21616))
% 192.07/191.94 [2162]~E(x21621,x21622)+E(f492(x21623,x21624,x21625,x21621,x21626),f492(x21623,x21624,x21625,x21622,x21626))
% 192.07/191.94 [2163]~E(x21631,x21632)+E(f492(x21633,x21634,x21635,x21636,x21631),f492(x21633,x21634,x21635,x21636,x21632))
% 192.07/191.94 [2164]~E(x21641,x21642)+E(f136(x21641,x21643),f136(x21642,x21643))
% 192.07/191.94 [2165]~E(x21651,x21652)+E(f136(x21653,x21651),f136(x21653,x21652))
% 192.07/191.94 [2166]~E(x21661,x21662)+E(f704(x21661,x21663,x21664),f704(x21662,x21663,x21664))
% 192.07/191.94 [2167]~E(x21671,x21672)+E(f704(x21673,x21671,x21674),f704(x21673,x21672,x21674))
% 192.07/191.94 [2168]~E(x21681,x21682)+E(f704(x21683,x21684,x21681),f704(x21683,x21684,x21682))
% 192.07/191.94 [2169]~E(x21691,x21692)+E(f612(x21691,x21693,x21694),f612(x21692,x21693,x21694))
% 192.07/191.94 [2170]~E(x21701,x21702)+E(f612(x21703,x21701,x21704),f612(x21703,x21702,x21704))
% 192.07/191.94 [2171]~E(x21711,x21712)+E(f612(x21713,x21714,x21711),f612(x21713,x21714,x21712))
% 192.07/191.94 [2172]~E(x21721,x21722)+E(f561(x21721,x21723,x21724,x21725),f561(x21722,x21723,x21724,x21725))
% 192.07/191.94 [2173]~E(x21731,x21732)+E(f561(x21733,x21731,x21734,x21735),f561(x21733,x21732,x21734,x21735))
% 192.07/191.94 [2174]~E(x21741,x21742)+E(f561(x21743,x21744,x21741,x21745),f561(x21743,x21744,x21742,x21745))
% 192.07/191.94 [2175]~E(x21751,x21752)+E(f561(x21753,x21754,x21755,x21751),f561(x21753,x21754,x21755,x21752))
% 192.07/191.94 [2176]~E(x21761,x21762)+E(f511(x21761),f511(x21762))
% 192.07/191.94 [2177]~E(x21771,x21772)+E(f835(x21771,x21773,x21774,x21775,x21776,x21777,x21778,x21779),f835(x21772,x21773,x21774,x21775,x21776,x21777,x21778,x21779))
% 192.07/191.94 [2178]~E(x21781,x21782)+E(f835(x21783,x21781,x21784,x21785,x21786,x21787,x21788,x21789),f835(x21783,x21782,x21784,x21785,x21786,x21787,x21788,x21789))
% 192.07/191.94 [2179]~E(x21791,x21792)+E(f835(x21793,x21794,x21791,x21795,x21796,x21797,x21798,x21799),f835(x21793,x21794,x21792,x21795,x21796,x21797,x21798,x21799))
% 192.07/191.94 [2180]~E(x21801,x21802)+E(f835(x21803,x21804,x21805,x21801,x21806,x21807,x21808,x21809),f835(x21803,x21804,x21805,x21802,x21806,x21807,x21808,x21809))
% 192.07/191.94 [2181]~E(x21811,x21812)+E(f835(x21813,x21814,x21815,x21816,x21811,x21817,x21818,x21819),f835(x21813,x21814,x21815,x21816,x21812,x21817,x21818,x21819))
% 192.07/191.94 [2182]~E(x21821,x21822)+E(f835(x21823,x21824,x21825,x21826,x21827,x21821,x21828,x21829),f835(x21823,x21824,x21825,x21826,x21827,x21822,x21828,x21829))
% 192.07/191.94 [2183]~E(x21831,x21832)+E(f835(x21833,x21834,x21835,x21836,x21837,x21838,x21831,x21839),f835(x21833,x21834,x21835,x21836,x21837,x21838,x21832,x21839))
% 192.07/191.94 [2184]~E(x21841,x21842)+E(f835(x21843,x21844,x21845,x21846,x21847,x21848,x21849,x21841),f835(x21843,x21844,x21845,x21846,x21847,x21848,x21849,x21842))
% 192.07/191.94 [2185]~E(x21851,x21852)+E(f809(x21851,x21853,x21854,x21855),f809(x21852,x21853,x21854,x21855))
% 192.07/191.94 [2186]~E(x21861,x21862)+E(f809(x21863,x21861,x21864,x21865),f809(x21863,x21862,x21864,x21865))
% 192.07/191.94 [2187]~E(x21871,x21872)+E(f809(x21873,x21874,x21871,x21875),f809(x21873,x21874,x21872,x21875))
% 192.07/191.94 [2188]~E(x21881,x21882)+E(f809(x21883,x21884,x21885,x21881),f809(x21883,x21884,x21885,x21882))
% 192.07/191.94 [2189]~E(x21891,x21892)+E(f373(x21891,x21893,x21894),f373(x21892,x21893,x21894))
% 192.07/191.94 [2190]~E(x21901,x21902)+E(f373(x21903,x21901,x21904),f373(x21903,x21902,x21904))
% 192.07/191.94 [2191]~E(x21911,x21912)+E(f373(x21913,x21914,x21911),f373(x21913,x21914,x21912))
% 192.07/191.94 [2192]~E(x21921,x21922)+E(f251(x21921,x21923,x21924,x21925,x21926),f251(x21922,x21923,x21924,x21925,x21926))
% 192.07/191.94 [2193]~E(x21931,x21932)+E(f251(x21933,x21931,x21934,x21935,x21936),f251(x21933,x21932,x21934,x21935,x21936))
% 192.07/191.94 [2194]~E(x21941,x21942)+E(f251(x21943,x21944,x21941,x21945,x21946),f251(x21943,x21944,x21942,x21945,x21946))
% 192.07/191.94 [2195]~E(x21951,x21952)+E(f251(x21953,x21954,x21955,x21951,x21956),f251(x21953,x21954,x21955,x21952,x21956))
% 192.07/191.94 [2196]~E(x21961,x21962)+E(f251(x21963,x21964,x21965,x21966,x21961),f251(x21963,x21964,x21965,x21966,x21962))
% 192.07/191.94 [2197]~E(x21971,x21972)+E(f493(x21971,x21973,x21974,x21975,x21976),f493(x21972,x21973,x21974,x21975,x21976))
% 192.07/191.94 [2198]~E(x21981,x21982)+E(f493(x21983,x21981,x21984,x21985,x21986),f493(x21983,x21982,x21984,x21985,x21986))
% 192.07/191.94 [2199]~E(x21991,x21992)+E(f493(x21993,x21994,x21991,x21995,x21996),f493(x21993,x21994,x21992,x21995,x21996))
% 192.07/191.94 [2200]~E(x22001,x22002)+E(f493(x22003,x22004,x22005,x22001,x22006),f493(x22003,x22004,x22005,x22002,x22006))
% 192.07/191.94 [2201]~E(x22011,x22012)+E(f493(x22013,x22014,x22015,x22016,x22011),f493(x22013,x22014,x22015,x22016,x22012))
% 192.07/191.94 [2202]~E(x22021,x22022)+E(f586(x22021,x22023,x22024),f586(x22022,x22023,x22024))
% 192.07/191.94 [2203]~E(x22031,x22032)+E(f586(x22033,x22031,x22034),f586(x22033,x22032,x22034))
% 192.07/191.94 [2204]~E(x22041,x22042)+E(f586(x22043,x22044,x22041),f586(x22043,x22044,x22042))
% 192.07/191.94 [2205]~E(x22051,x22052)+E(f676(x22051,x22053,x22054,x22055),f676(x22052,x22053,x22054,x22055))
% 192.07/191.94 [2206]~E(x22061,x22062)+E(f676(x22063,x22061,x22064,x22065),f676(x22063,x22062,x22064,x22065))
% 192.07/191.94 [2207]~E(x22071,x22072)+E(f676(x22073,x22074,x22071,x22075),f676(x22073,x22074,x22072,x22075))
% 192.07/191.94 [2208]~E(x22081,x22082)+E(f676(x22083,x22084,x22085,x22081),f676(x22083,x22084,x22085,x22082))
% 192.07/191.94 [2209]~E(x22091,x22092)+E(f414(x22091,x22093,x22094),f414(x22092,x22093,x22094))
% 192.07/191.94 [2210]~E(x22101,x22102)+E(f414(x22103,x22101,x22104),f414(x22103,x22102,x22104))
% 192.07/191.94 [2211]~E(x22111,x22112)+E(f414(x22113,x22114,x22111),f414(x22113,x22114,x22112))
% 192.07/191.94 [2212]~E(x22121,x22122)+E(f735(x22121,x22123),f735(x22122,x22123))
% 192.07/191.94 [2213]~E(x22131,x22132)+E(f735(x22133,x22131),f735(x22133,x22132))
% 192.07/191.94 [2214]~E(x22141,x22142)+E(f432(x22141,x22143,x22144),f432(x22142,x22143,x22144))
% 192.07/191.94 [2215]~E(x22151,x22152)+E(f432(x22153,x22151,x22154),f432(x22153,x22152,x22154))
% 192.07/191.94 [2216]~E(x22161,x22162)+E(f432(x22163,x22164,x22161),f432(x22163,x22164,x22162))
% 192.07/191.94 [2217]~E(x22171,x22172)+E(f755(x22171,x22173,x22174,x22175),f755(x22172,x22173,x22174,x22175))
% 192.07/191.94 [2218]~E(x22181,x22182)+E(f755(x22183,x22181,x22184,x22185),f755(x22183,x22182,x22184,x22185))
% 192.07/191.94 [2219]~E(x22191,x22192)+E(f755(x22193,x22194,x22191,x22195),f755(x22193,x22194,x22192,x22195))
% 192.07/191.94 [2220]~E(x22201,x22202)+E(f755(x22203,x22204,x22205,x22201),f755(x22203,x22204,x22205,x22202))
% 192.07/191.94 [2221]~E(x22211,x22212)+E(f537(x22211,x22213,x22214,x22215),f537(x22212,x22213,x22214,x22215))
% 192.07/191.94 [2222]~E(x22221,x22222)+E(f537(x22223,x22221,x22224,x22225),f537(x22223,x22222,x22224,x22225))
% 192.07/191.94 [2223]~E(x22231,x22232)+E(f537(x22233,x22234,x22231,x22235),f537(x22233,x22234,x22232,x22235))
% 192.07/191.94 [2224]~E(x22241,x22242)+E(f537(x22243,x22244,x22245,x22241),f537(x22243,x22244,x22245,x22242))
% 192.07/191.94 [2225]~E(x22251,x22252)+E(f654(x22251,x22253,x22254,x22255,x22256,x22257,x22258,x22259),f654(x22252,x22253,x22254,x22255,x22256,x22257,x22258,x22259))
% 192.07/191.94 [2226]~E(x22261,x22262)+E(f654(x22263,x22261,x22264,x22265,x22266,x22267,x22268,x22269),f654(x22263,x22262,x22264,x22265,x22266,x22267,x22268,x22269))
% 192.07/191.94 [2227]~E(x22271,x22272)+E(f654(x22273,x22274,x22271,x22275,x22276,x22277,x22278,x22279),f654(x22273,x22274,x22272,x22275,x22276,x22277,x22278,x22279))
% 192.07/191.94 [2228]~E(x22281,x22282)+E(f654(x22283,x22284,x22285,x22281,x22286,x22287,x22288,x22289),f654(x22283,x22284,x22285,x22282,x22286,x22287,x22288,x22289))
% 192.07/191.94 [2229]~E(x22291,x22292)+E(f654(x22293,x22294,x22295,x22296,x22291,x22297,x22298,x22299),f654(x22293,x22294,x22295,x22296,x22292,x22297,x22298,x22299))
% 192.07/191.94 [2230]~E(x22301,x22302)+E(f654(x22303,x22304,x22305,x22306,x22307,x22301,x22308,x22309),f654(x22303,x22304,x22305,x22306,x22307,x22302,x22308,x22309))
% 192.07/191.94 [2231]~E(x22311,x22312)+E(f654(x22313,x22314,x22315,x22316,x22317,x22318,x22311,x22319),f654(x22313,x22314,x22315,x22316,x22317,x22318,x22312,x22319))
% 192.07/191.94 [2232]~E(x22321,x22322)+E(f654(x22323,x22324,x22325,x22326,x22327,x22328,x22329,x22321),f654(x22323,x22324,x22325,x22326,x22327,x22328,x22329,x22322))
% 192.07/191.94 [2233]~E(x22331,x22332)+E(f38(x22331),f38(x22332))
% 192.07/191.94 [2234]~E(x22341,x22342)+E(f266(x22341,x22343,x22344,x22345),f266(x22342,x22343,x22344,x22345))
% 192.07/191.94 [2235]~E(x22351,x22352)+E(f266(x22353,x22351,x22354,x22355),f266(x22353,x22352,x22354,x22355))
% 192.07/191.94 [2236]~E(x22361,x22362)+E(f266(x22363,x22364,x22361,x22365),f266(x22363,x22364,x22362,x22365))
% 192.07/191.94 [2237]~E(x22371,x22372)+E(f266(x22373,x22374,x22375,x22371),f266(x22373,x22374,x22375,x22372))
% 192.07/191.94 [2238]~E(x22381,x22382)+E(f204(x22381,x22383),f204(x22382,x22383))
% 192.07/191.94 [2239]~E(x22391,x22392)+E(f204(x22393,x22391),f204(x22393,x22392))
% 192.07/191.94 [2240]~E(x22401,x22402)+E(f324(x22401,x22403),f324(x22402,x22403))
% 192.07/191.94 [2241]~E(x22411,x22412)+E(f324(x22413,x22411),f324(x22413,x22412))
% 192.07/191.94 [2242]~E(x22421,x22422)+E(f749(x22421,x22423,x22424),f749(x22422,x22423,x22424))
% 192.07/191.94 [2243]~E(x22431,x22432)+E(f749(x22433,x22431,x22434),f749(x22433,x22432,x22434))
% 192.07/191.94 [2244]~E(x22441,x22442)+E(f749(x22443,x22444,x22441),f749(x22443,x22444,x22442))
% 192.07/191.94 [2245]~E(x22451,x22452)+E(f550(x22451,x22453,x22454,x22455,x22456,x22457,x22458,x22459),f550(x22452,x22453,x22454,x22455,x22456,x22457,x22458,x22459))
% 192.07/191.94 [2246]~E(x22461,x22462)+E(f550(x22463,x22461,x22464,x22465,x22466,x22467,x22468,x22469),f550(x22463,x22462,x22464,x22465,x22466,x22467,x22468,x22469))
% 192.07/191.94 [2247]~E(x22471,x22472)+E(f550(x22473,x22474,x22471,x22475,x22476,x22477,x22478,x22479),f550(x22473,x22474,x22472,x22475,x22476,x22477,x22478,x22479))
% 192.07/191.94 [2248]~E(x22481,x22482)+E(f550(x22483,x22484,x22485,x22481,x22486,x22487,x22488,x22489),f550(x22483,x22484,x22485,x22482,x22486,x22487,x22488,x22489))
% 192.07/191.94 [2249]~E(x22491,x22492)+E(f550(x22493,x22494,x22495,x22496,x22491,x22497,x22498,x22499),f550(x22493,x22494,x22495,x22496,x22492,x22497,x22498,x22499))
% 192.07/191.94 [2250]~E(x22501,x22502)+E(f550(x22503,x22504,x22505,x22506,x22507,x22501,x22508,x22509),f550(x22503,x22504,x22505,x22506,x22507,x22502,x22508,x22509))
% 192.07/191.94 [2251]~E(x22511,x22512)+E(f550(x22513,x22514,x22515,x22516,x22517,x22518,x22511,x22519),f550(x22513,x22514,x22515,x22516,x22517,x22518,x22512,x22519))
% 192.07/191.94 [2252]~E(x22521,x22522)+E(f550(x22523,x22524,x22525,x22526,x22527,x22528,x22529,x22521),f550(x22523,x22524,x22525,x22526,x22527,x22528,x22529,x22522))
% 192.07/191.94 [2253]~E(x22531,x22532)+E(f340(x22531,x22533),f340(x22532,x22533))
% 192.07/191.94 [2254]~E(x22541,x22542)+E(f340(x22543,x22541),f340(x22543,x22542))
% 192.07/191.94 [2255]~E(x22551,x22552)+E(f371(x22551,x22553,x22554,x22555),f371(x22552,x22553,x22554,x22555))
% 192.07/191.94 [2256]~E(x22561,x22562)+E(f371(x22563,x22561,x22564,x22565),f371(x22563,x22562,x22564,x22565))
% 192.07/191.94 [2257]~E(x22571,x22572)+E(f371(x22573,x22574,x22571,x22575),f371(x22573,x22574,x22572,x22575))
% 192.07/191.94 [2258]~E(x22581,x22582)+E(f371(x22583,x22584,x22585,x22581),f371(x22583,x22584,x22585,x22582))
% 192.07/191.94 [2259]~E(x22591,x22592)+E(f187(x22591,x22593,x22594,x22595),f187(x22592,x22593,x22594,x22595))
% 192.07/191.94 [2260]~E(x22601,x22602)+E(f187(x22603,x22601,x22604,x22605),f187(x22603,x22602,x22604,x22605))
% 192.07/191.94 [2261]~E(x22611,x22612)+E(f187(x22613,x22614,x22611,x22615),f187(x22613,x22614,x22612,x22615))
% 192.07/191.94 [2262]~E(x22621,x22622)+E(f187(x22623,x22624,x22625,x22621),f187(x22623,x22624,x22625,x22622))
% 192.07/191.94 [2263]~E(x22631,x22632)+E(f888(x22631,x22633,x22634,x22635),f888(x22632,x22633,x22634,x22635))
% 192.07/191.94 [2264]~E(x22641,x22642)+E(f888(x22643,x22641,x22644,x22645),f888(x22643,x22642,x22644,x22645))
% 192.07/191.94 [2265]~E(x22651,x22652)+E(f888(x22653,x22654,x22651,x22655),f888(x22653,x22654,x22652,x22655))
% 192.07/191.94 [2266]~E(x22661,x22662)+E(f888(x22663,x22664,x22665,x22661),f888(x22663,x22664,x22665,x22662))
% 192.07/191.94 [2267]~E(x22671,x22672)+E(f627(x22671,x22673,x22674),f627(x22672,x22673,x22674))
% 192.07/191.94 [2268]~E(x22681,x22682)+E(f627(x22683,x22681,x22684),f627(x22683,x22682,x22684))
% 192.07/191.94 [2269]~E(x22691,x22692)+E(f627(x22693,x22694,x22691),f627(x22693,x22694,x22692))
% 192.07/191.94 [2270]~E(x22701,x22702)+E(f702(x22701,x22703,x22704),f702(x22702,x22703,x22704))
% 192.07/191.94 [2271]~E(x22711,x22712)+E(f702(x22713,x22711,x22714),f702(x22713,x22712,x22714))
% 192.07/191.94 [2272]~E(x22721,x22722)+E(f702(x22723,x22724,x22721),f702(x22723,x22724,x22722))
% 192.07/191.94 [2273]~E(x22731,x22732)+E(f814(x22731,x22733,x22734,x22735),f814(x22732,x22733,x22734,x22735))
% 192.07/191.94 [2274]~E(x22741,x22742)+E(f814(x22743,x22741,x22744,x22745),f814(x22743,x22742,x22744,x22745))
% 192.07/191.94 [2275]~E(x22751,x22752)+E(f814(x22753,x22754,x22751,x22755),f814(x22753,x22754,x22752,x22755))
% 192.07/191.94 [2276]~E(x22761,x22762)+E(f814(x22763,x22764,x22765,x22761),f814(x22763,x22764,x22765,x22762))
% 192.07/191.94 [2277]~E(x22771,x22772)+E(f705(x22771,x22773,x22774),f705(x22772,x22773,x22774))
% 192.07/191.94 [2278]~E(x22781,x22782)+E(f705(x22783,x22781,x22784),f705(x22783,x22782,x22784))
% 192.07/191.94 [2279]~E(x22791,x22792)+E(f705(x22793,x22794,x22791),f705(x22793,x22794,x22792))
% 192.07/191.94 [2280]~E(x22801,x22802)+E(f363(x22801,x22803,x22804),f363(x22802,x22803,x22804))
% 192.07/191.94 [2281]~E(x22811,x22812)+E(f363(x22813,x22811,x22814),f363(x22813,x22812,x22814))
% 192.07/191.94 [2282]~E(x22821,x22822)+E(f363(x22823,x22824,x22821),f363(x22823,x22824,x22822))
% 192.07/191.94 [2283]~E(x22831,x22832)+E(f699(x22831,x22833,x22834),f699(x22832,x22833,x22834))
% 192.07/191.94 [2284]~E(x22841,x22842)+E(f699(x22843,x22841,x22844),f699(x22843,x22842,x22844))
% 192.07/191.94 [2285]~E(x22851,x22852)+E(f699(x22853,x22854,x22851),f699(x22853,x22854,x22852))
% 192.07/191.94 [2286]~E(x22861,x22862)+E(f694(x22861,x22863),f694(x22862,x22863))
% 192.07/191.94 [2287]~E(x22871,x22872)+E(f694(x22873,x22871),f694(x22873,x22872))
% 192.07/191.94 [2288]~E(x22881,x22882)+E(f860(x22881),f860(x22882))
% 192.07/191.94 [2289]~E(x22891,x22892)+E(f605(x22891,x22893),f605(x22892,x22893))
% 192.07/191.94 [2290]~E(x22901,x22902)+E(f605(x22903,x22901),f605(x22903,x22902))
% 192.07/191.94 [2291]~E(x22911,x22912)+E(f618(x22911,x22913,x22914,x22915,x22916),f618(x22912,x22913,x22914,x22915,x22916))
% 192.07/191.94 [2292]~E(x22921,x22922)+E(f618(x22923,x22921,x22924,x22925,x22926),f618(x22923,x22922,x22924,x22925,x22926))
% 192.07/191.94 [2293]~E(x22931,x22932)+E(f618(x22933,x22934,x22931,x22935,x22936),f618(x22933,x22934,x22932,x22935,x22936))
% 192.07/191.94 [2294]~E(x22941,x22942)+E(f618(x22943,x22944,x22945,x22941,x22946),f618(x22943,x22944,x22945,x22942,x22946))
% 192.07/191.94 [2295]~E(x22951,x22952)+E(f618(x22953,x22954,x22955,x22956,x22951),f618(x22953,x22954,x22955,x22956,x22952))
% 192.07/191.94 [2296]~E(x22961,x22962)+E(f507(x22961,x22963,x22964,x22965,x22966,x22967,x22968,x22969),f507(x22962,x22963,x22964,x22965,x22966,x22967,x22968,x22969))
% 192.07/191.94 [2297]~E(x22971,x22972)+E(f507(x22973,x22971,x22974,x22975,x22976,x22977,x22978,x22979),f507(x22973,x22972,x22974,x22975,x22976,x22977,x22978,x22979))
% 192.07/191.94 [2298]~E(x22981,x22982)+E(f507(x22983,x22984,x22981,x22985,x22986,x22987,x22988,x22989),f507(x22983,x22984,x22982,x22985,x22986,x22987,x22988,x22989))
% 192.07/191.94 [2299]~E(x22991,x22992)+E(f507(x22993,x22994,x22995,x22991,x22996,x22997,x22998,x22999),f507(x22993,x22994,x22995,x22992,x22996,x22997,x22998,x22999))
% 192.07/191.94 [2300]~E(x23001,x23002)+E(f507(x23003,x23004,x23005,x23006,x23001,x23007,x23008,x23009),f507(x23003,x23004,x23005,x23006,x23002,x23007,x23008,x23009))
% 192.07/191.94 [2301]~E(x23011,x23012)+E(f507(x23013,x23014,x23015,x23016,x23017,x23011,x23018,x23019),f507(x23013,x23014,x23015,x23016,x23017,x23012,x23018,x23019))
% 192.07/191.94 [2302]~E(x23021,x23022)+E(f507(x23023,x23024,x23025,x23026,x23027,x23028,x23021,x23029),f507(x23023,x23024,x23025,x23026,x23027,x23028,x23022,x23029))
% 192.07/191.94 [2303]~E(x23031,x23032)+E(f507(x23033,x23034,x23035,x23036,x23037,x23038,x23039,x23031),f507(x23033,x23034,x23035,x23036,x23037,x23038,x23039,x23032))
% 192.07/191.94 [2304]~E(x23041,x23042)+E(f476(x23041,x23043,x23044),f476(x23042,x23043,x23044))
% 192.07/191.94 [2305]~E(x23051,x23052)+E(f476(x23053,x23051,x23054),f476(x23053,x23052,x23054))
% 192.07/191.94 [2306]~E(x23061,x23062)+E(f476(x23063,x23064,x23061),f476(x23063,x23064,x23062))
% 192.07/191.94 [2307]~E(x23071,x23072)+E(f440(x23071,x23073,x23074),f440(x23072,x23073,x23074))
% 192.07/191.94 [2308]~E(x23081,x23082)+E(f440(x23083,x23081,x23084),f440(x23083,x23082,x23084))
% 192.07/191.94 [2309]~E(x23091,x23092)+E(f440(x23093,x23094,x23091),f440(x23093,x23094,x23092))
% 192.07/191.94 [2310]~E(x23101,x23102)+E(f722(x23101,x23103,x23104,x23105,x23106),f722(x23102,x23103,x23104,x23105,x23106))
% 192.07/191.94 [2311]~E(x23111,x23112)+E(f722(x23113,x23111,x23114,x23115,x23116),f722(x23113,x23112,x23114,x23115,x23116))
% 192.07/191.94 [2312]~E(x23121,x23122)+E(f722(x23123,x23124,x23121,x23125,x23126),f722(x23123,x23124,x23122,x23125,x23126))
% 192.07/191.94 [2313]~E(x23131,x23132)+E(f722(x23133,x23134,x23135,x23131,x23136),f722(x23133,x23134,x23135,x23132,x23136))
% 192.07/191.94 [2314]~E(x23141,x23142)+E(f722(x23143,x23144,x23145,x23146,x23141),f722(x23143,x23144,x23145,x23146,x23142))
% 192.07/191.94 [2315]~E(x23151,x23152)+E(f602(x23151,x23153,x23154),f602(x23152,x23153,x23154))
% 192.07/191.94 [2316]~E(x23161,x23162)+E(f602(x23163,x23161,x23164),f602(x23163,x23162,x23164))
% 192.07/191.94 [2317]~E(x23171,x23172)+E(f602(x23173,x23174,x23171),f602(x23173,x23174,x23172))
% 192.07/191.94 [2318]~E(x23181,x23182)+E(f194(x23181),f194(x23182))
% 192.07/191.94 [2319]~E(x23191,x23192)+E(f649(x23191,x23193,x23194,x23195),f649(x23192,x23193,x23194,x23195))
% 192.07/191.94 [2320]~E(x23201,x23202)+E(f649(x23203,x23201,x23204,x23205),f649(x23203,x23202,x23204,x23205))
% 192.07/191.94 [2321]~E(x23211,x23212)+E(f649(x23213,x23214,x23211,x23215),f649(x23213,x23214,x23212,x23215))
% 192.07/191.94 [2322]~E(x23221,x23222)+E(f649(x23223,x23224,x23225,x23221),f649(x23223,x23224,x23225,x23222))
% 192.07/191.94 [2323]~E(x23231,x23232)+E(f372(x23231,x23233,x23234),f372(x23232,x23233,x23234))
% 192.07/191.94 [2324]~E(x23241,x23242)+E(f372(x23243,x23241,x23244),f372(x23243,x23242,x23244))
% 192.07/191.94 [2325]~E(x23251,x23252)+E(f372(x23253,x23254,x23251),f372(x23253,x23254,x23252))
% 192.07/191.94 [2326]~E(x23261,x23262)+E(f380(x23261,x23263,x23264),f380(x23262,x23263,x23264))
% 192.07/191.94 [2327]~E(x23271,x23272)+E(f380(x23273,x23271,x23274),f380(x23273,x23272,x23274))
% 192.07/191.94 [2328]~E(x23281,x23282)+E(f380(x23283,x23284,x23281),f380(x23283,x23284,x23282))
% 192.07/191.94 [2329]~E(x23291,x23292)+E(f23(x23291,x23293),f23(x23292,x23293))
% 192.07/191.94 [2330]~E(x23301,x23302)+E(f23(x23303,x23301),f23(x23303,x23302))
% 192.07/191.94 [2331]~E(x23311,x23312)+E(f657(x23311,x23313),f657(x23312,x23313))
% 192.07/191.94 [2332]~E(x23321,x23322)+E(f657(x23323,x23321),f657(x23323,x23322))
% 192.07/191.94 [2333]~E(x23331,x23332)+E(f520(x23331,x23333,x23334,x23335,x23336),f520(x23332,x23333,x23334,x23335,x23336))
% 192.07/191.94 [2334]~E(x23341,x23342)+E(f520(x23343,x23341,x23344,x23345,x23346),f520(x23343,x23342,x23344,x23345,x23346))
% 192.07/191.94 [2335]~E(x23351,x23352)+E(f520(x23353,x23354,x23351,x23355,x23356),f520(x23353,x23354,x23352,x23355,x23356))
% 192.07/191.94 [2336]~E(x23361,x23362)+E(f520(x23363,x23364,x23365,x23361,x23366),f520(x23363,x23364,x23365,x23362,x23366))
% 192.07/191.94 [2337]~E(x23371,x23372)+E(f520(x23373,x23374,x23375,x23376,x23371),f520(x23373,x23374,x23375,x23376,x23372))
% 192.07/191.94 [2338]~E(x23381,x23382)+E(f125(x23381),f125(x23382))
% 192.07/191.94 [2339]~E(x23391,x23392)+E(f370(x23391,x23393),f370(x23392,x23393))
% 192.07/191.94 [2340]~E(x23401,x23402)+E(f370(x23403,x23401),f370(x23403,x23402))
% 192.07/191.94 [2341]~E(x23411,x23412)+E(f729(x23411,x23413,x23414,x23415),f729(x23412,x23413,x23414,x23415))
% 192.07/191.94 [2342]~E(x23421,x23422)+E(f729(x23423,x23421,x23424,x23425),f729(x23423,x23422,x23424,x23425))
% 192.07/191.94 [2343]~E(x23431,x23432)+E(f729(x23433,x23434,x23431,x23435),f729(x23433,x23434,x23432,x23435))
% 192.07/191.94 [2344]~E(x23441,x23442)+E(f729(x23443,x23444,x23445,x23441),f729(x23443,x23444,x23445,x23442))
% 192.07/191.94 [2345]~E(x23451,x23452)+E(f379(x23451,x23453,x23454),f379(x23452,x23453,x23454))
% 192.07/191.94 [2346]~E(x23461,x23462)+E(f379(x23463,x23461,x23464),f379(x23463,x23462,x23464))
% 192.07/191.94 [2347]~E(x23471,x23472)+E(f379(x23473,x23474,x23471),f379(x23473,x23474,x23472))
% 192.07/191.94 [2348]~E(x23481,x23482)+E(f836(x23481,x23483),f836(x23482,x23483))
% 192.07/191.94 [2349]~E(x23491,x23492)+E(f836(x23493,x23491),f836(x23493,x23492))
% 192.07/191.94 [2350]~E(x23501,x23502)+E(f787(x23501,x23503),f787(x23502,x23503))
% 192.07/191.94 [2351]~E(x23511,x23512)+E(f787(x23513,x23511),f787(x23513,x23512))
% 192.07/191.94 [2352]~E(x23521,x23522)+E(f810(x23521,x23523,x23524,x23525,x23526,x23527),f810(x23522,x23523,x23524,x23525,x23526,x23527))
% 192.07/191.94 [2353]~E(x23531,x23532)+E(f810(x23533,x23531,x23534,x23535,x23536,x23537),f810(x23533,x23532,x23534,x23535,x23536,x23537))
% 192.07/191.94 [2354]~E(x23541,x23542)+E(f810(x23543,x23544,x23541,x23545,x23546,x23547),f810(x23543,x23544,x23542,x23545,x23546,x23547))
% 192.07/191.94 [2355]~E(x23551,x23552)+E(f810(x23553,x23554,x23555,x23551,x23556,x23557),f810(x23553,x23554,x23555,x23552,x23556,x23557))
% 192.07/191.94 [2356]~E(x23561,x23562)+E(f810(x23563,x23564,x23565,x23566,x23561,x23567),f810(x23563,x23564,x23565,x23566,x23562,x23567))
% 192.07/191.94 [2357]~E(x23571,x23572)+E(f810(x23573,x23574,x23575,x23576,x23577,x23571),f810(x23573,x23574,x23575,x23576,x23577,x23572))
% 192.07/191.94 [2358]~E(x23581,x23582)+E(f460(x23581,x23583,x23584),f460(x23582,x23583,x23584))
% 192.07/191.94 [2359]~E(x23591,x23592)+E(f460(x23593,x23591,x23594),f460(x23593,x23592,x23594))
% 192.07/191.94 [2360]~E(x23601,x23602)+E(f460(x23603,x23604,x23601),f460(x23603,x23604,x23602))
% 192.07/191.94 [2361]~E(x23611,x23612)+E(f261(x23611,x23613,x23614,x23615),f261(x23612,x23613,x23614,x23615))
% 192.07/191.94 [2362]~E(x23621,x23622)+E(f261(x23623,x23621,x23624,x23625),f261(x23623,x23622,x23624,x23625))
% 192.07/191.94 [2363]~E(x23631,x23632)+E(f261(x23633,x23634,x23631,x23635),f261(x23633,x23634,x23632,x23635))
% 192.07/191.94 [2364]~E(x23641,x23642)+E(f261(x23643,x23644,x23645,x23641),f261(x23643,x23644,x23645,x23642))
% 192.07/191.94 [2365]~E(x23651,x23652)+E(f770(x23651,x23653),f770(x23652,x23653))
% 192.07/191.94 [2366]~E(x23661,x23662)+E(f770(x23663,x23661),f770(x23663,x23662))
% 192.07/191.94 [2367]~E(x23671,x23672)+E(f711(x23671,x23673),f711(x23672,x23673))
% 192.07/191.94 [2368]~E(x23681,x23682)+E(f711(x23683,x23681),f711(x23683,x23682))
% 192.07/191.94 [2369]~E(x23691,x23692)+E(f614(x23691,x23693,x23694,x23695,x23696),f614(x23692,x23693,x23694,x23695,x23696))
% 192.07/191.94 [2370]~E(x23701,x23702)+E(f614(x23703,x23701,x23704,x23705,x23706),f614(x23703,x23702,x23704,x23705,x23706))
% 192.07/191.94 [2371]~E(x23711,x23712)+E(f614(x23713,x23714,x23711,x23715,x23716),f614(x23713,x23714,x23712,x23715,x23716))
% 192.07/191.94 [2372]~E(x23721,x23722)+E(f614(x23723,x23724,x23725,x23721,x23726),f614(x23723,x23724,x23725,x23722,x23726))
% 192.07/191.94 [2373]~E(x23731,x23732)+E(f614(x23733,x23734,x23735,x23736,x23731),f614(x23733,x23734,x23735,x23736,x23732))
% 192.07/191.94 [2374]~E(x23741,x23742)+E(f259(x23741,x23743),f259(x23742,x23743))
% 192.07/191.94 [2375]~E(x23751,x23752)+E(f259(x23753,x23751),f259(x23753,x23752))
% 192.07/191.94 [2376]~E(x23761,x23762)+E(f397(x23761,x23763),f397(x23762,x23763))
% 192.07/191.94 [2377]~E(x23771,x23772)+E(f397(x23773,x23771),f397(x23773,x23772))
% 192.07/191.94 [2378]~E(x23781,x23782)+E(f840(x23781,x23783,x23784,x23785,x23786,x23787),f840(x23782,x23783,x23784,x23785,x23786,x23787))
% 192.07/191.94 [2379]~E(x23791,x23792)+E(f840(x23793,x23791,x23794,x23795,x23796,x23797),f840(x23793,x23792,x23794,x23795,x23796,x23797))
% 192.07/191.94 [2380]~E(x23801,x23802)+E(f840(x23803,x23804,x23801,x23805,x23806,x23807),f840(x23803,x23804,x23802,x23805,x23806,x23807))
% 192.07/191.94 [2381]~E(x23811,x23812)+E(f840(x23813,x23814,x23815,x23811,x23816,x23817),f840(x23813,x23814,x23815,x23812,x23816,x23817))
% 192.07/191.94 [2382]~E(x23821,x23822)+E(f840(x23823,x23824,x23825,x23826,x23821,x23827),f840(x23823,x23824,x23825,x23826,x23822,x23827))
% 192.07/191.94 [2383]~E(x23831,x23832)+E(f840(x23833,x23834,x23835,x23836,x23837,x23831),f840(x23833,x23834,x23835,x23836,x23837,x23832))
% 192.07/191.94 [2384]~E(x23841,x23842)+E(f661(x23841,x23843),f661(x23842,x23843))
% 192.07/191.94 [2385]~E(x23851,x23852)+E(f661(x23853,x23851),f661(x23853,x23852))
% 192.07/191.94 [2386]~E(x23861,x23862)+E(f463(x23861,x23863,x23864),f463(x23862,x23863,x23864))
% 192.07/191.94 [2387]~E(x23871,x23872)+E(f463(x23873,x23871,x23874),f463(x23873,x23872,x23874))
% 192.07/191.94 [2388]~E(x23881,x23882)+E(f463(x23883,x23884,x23881),f463(x23883,x23884,x23882))
% 192.07/191.94 [2389]~E(x23891,x23892)+E(f793(x23891),f793(x23892))
% 192.07/191.94 [2390]~E(x23901,x23902)+E(f423(x23901,x23903,x23904,x23905,x23906),f423(x23902,x23903,x23904,x23905,x23906))
% 192.07/191.94 [2391]~E(x23911,x23912)+E(f423(x23913,x23911,x23914,x23915,x23916),f423(x23913,x23912,x23914,x23915,x23916))
% 192.07/191.94 [2392]~E(x23921,x23922)+E(f423(x23923,x23924,x23921,x23925,x23926),f423(x23923,x23924,x23922,x23925,x23926))
% 192.07/191.94 [2393]~E(x23931,x23932)+E(f423(x23933,x23934,x23935,x23931,x23936),f423(x23933,x23934,x23935,x23932,x23936))
% 192.07/191.94 [2394]~E(x23941,x23942)+E(f423(x23943,x23944,x23945,x23946,x23941),f423(x23943,x23944,x23945,x23946,x23942))
% 192.07/191.94 [2395]~E(x23951,x23952)+E(f427(x23951,x23953,x23954,x23955),f427(x23952,x23953,x23954,x23955))
% 192.07/191.94 [2396]~E(x23961,x23962)+E(f427(x23963,x23961,x23964,x23965),f427(x23963,x23962,x23964,x23965))
% 192.07/191.94 [2397]~E(x23971,x23972)+E(f427(x23973,x23974,x23971,x23975),f427(x23973,x23974,x23972,x23975))
% 192.07/191.94 [2398]~E(x23981,x23982)+E(f427(x23983,x23984,x23985,x23981),f427(x23983,x23984,x23985,x23982))
% 192.07/191.94 [2399]~E(x23991,x23992)+E(f660(x23991,x23993),f660(x23992,x23993))
% 192.07/191.94 [2400]~E(x24001,x24002)+E(f660(x24003,x24001),f660(x24003,x24002))
% 192.07/191.94 [2401]~E(x24011,x24012)+E(f438(x24011,x24013,x24014),f438(x24012,x24013,x24014))
% 192.07/191.94 [2402]~E(x24021,x24022)+E(f438(x24023,x24021,x24024),f438(x24023,x24022,x24024))
% 192.07/191.94 [2403]~E(x24031,x24032)+E(f438(x24033,x24034,x24031),f438(x24033,x24034,x24032))
% 192.07/191.94 [2404]~E(x24041,x24042)+E(f355(x24041,x24043,x24044,x24045),f355(x24042,x24043,x24044,x24045))
% 192.07/191.94 [2405]~E(x24051,x24052)+E(f355(x24053,x24051,x24054,x24055),f355(x24053,x24052,x24054,x24055))
% 192.07/191.94 [2406]~E(x24061,x24062)+E(f355(x24063,x24064,x24061,x24065),f355(x24063,x24064,x24062,x24065))
% 192.07/191.94 [2407]~E(x24071,x24072)+E(f355(x24073,x24074,x24075,x24071),f355(x24073,x24074,x24075,x24072))
% 192.07/191.94 [2408]~E(x24081,x24082)+E(f441(x24081,x24083,x24084),f441(x24082,x24083,x24084))
% 192.07/191.94 [2409]~E(x24091,x24092)+E(f441(x24093,x24091,x24094),f441(x24093,x24092,x24094))
% 192.07/191.94 [2410]~E(x24101,x24102)+E(f441(x24103,x24104,x24101),f441(x24103,x24104,x24102))
% 192.07/191.94 [2411]~E(x24111,x24112)+E(f461(x24111,x24113,x24114,x24115),f461(x24112,x24113,x24114,x24115))
% 192.07/191.94 [2412]~E(x24121,x24122)+E(f461(x24123,x24121,x24124,x24125),f461(x24123,x24122,x24124,x24125))
% 192.07/191.94 [2413]~E(x24131,x24132)+E(f461(x24133,x24134,x24131,x24135),f461(x24133,x24134,x24132,x24135))
% 192.07/191.94 [2414]~E(x24141,x24142)+E(f461(x24143,x24144,x24145,x24141),f461(x24143,x24144,x24145,x24142))
% 192.07/191.94 [2415]~E(x24151,x24152)+E(f558(x24151,x24153,x24154),f558(x24152,x24153,x24154))
% 192.07/191.94 [2416]~E(x24161,x24162)+E(f558(x24163,x24161,x24164),f558(x24163,x24162,x24164))
% 192.07/191.94 [2417]~E(x24171,x24172)+E(f558(x24173,x24174,x24171),f558(x24173,x24174,x24172))
% 192.07/191.94 [2418]~E(x24181,x24182)+E(f376(x24181,x24183,x24184,x24185,x24186),f376(x24182,x24183,x24184,x24185,x24186))
% 192.07/191.94 [2419]~E(x24191,x24192)+E(f376(x24193,x24191,x24194,x24195,x24196),f376(x24193,x24192,x24194,x24195,x24196))
% 192.07/191.94 [2420]~E(x24201,x24202)+E(f376(x24203,x24204,x24201,x24205,x24206),f376(x24203,x24204,x24202,x24205,x24206))
% 192.07/191.94 [2421]~E(x24211,x24212)+E(f376(x24213,x24214,x24215,x24211,x24216),f376(x24213,x24214,x24215,x24212,x24216))
% 192.07/191.94 [2422]~E(x24221,x24222)+E(f376(x24223,x24224,x24225,x24226,x24221),f376(x24223,x24224,x24225,x24226,x24222))
% 192.07/191.94 [2423]~E(x24231,x24232)+E(f345(x24231,x24233,x24234,x24235),f345(x24232,x24233,x24234,x24235))
% 192.07/191.94 [2424]~E(x24241,x24242)+E(f345(x24243,x24241,x24244,x24245),f345(x24243,x24242,x24244,x24245))
% 192.07/191.94 [2425]~E(x24251,x24252)+E(f345(x24253,x24254,x24251,x24255),f345(x24253,x24254,x24252,x24255))
% 192.07/191.94 [2426]~E(x24261,x24262)+E(f345(x24263,x24264,x24265,x24261),f345(x24263,x24264,x24265,x24262))
% 192.07/191.94 [2427]~E(x24271,x24272)+E(f425(x24271,x24273,x24274,x24275),f425(x24272,x24273,x24274,x24275))
% 192.07/191.94 [2428]~E(x24281,x24282)+E(f425(x24283,x24281,x24284,x24285),f425(x24283,x24282,x24284,x24285))
% 192.07/191.94 [2429]~E(x24291,x24292)+E(f425(x24293,x24294,x24291,x24295),f425(x24293,x24294,x24292,x24295))
% 192.07/191.94 [2430]~E(x24301,x24302)+E(f425(x24303,x24304,x24305,x24301),f425(x24303,x24304,x24305,x24302))
% 192.07/191.94 [2431]~E(x24311,x24312)+E(f411(x24311,x24313,x24314,x24315,x24316),f411(x24312,x24313,x24314,x24315,x24316))
% 192.07/191.94 [2432]~E(x24321,x24322)+E(f411(x24323,x24321,x24324,x24325,x24326),f411(x24323,x24322,x24324,x24325,x24326))
% 192.07/191.94 [2433]~E(x24331,x24332)+E(f411(x24333,x24334,x24331,x24335,x24336),f411(x24333,x24334,x24332,x24335,x24336))
% 192.07/191.94 [2434]~E(x24341,x24342)+E(f411(x24343,x24344,x24345,x24341,x24346),f411(x24343,x24344,x24345,x24342,x24346))
% 192.07/191.94 [2435]~E(x24351,x24352)+E(f411(x24353,x24354,x24355,x24356,x24351),f411(x24353,x24354,x24355,x24356,x24352))
% 192.07/191.94 [2436]~E(x24361,x24362)+E(f727(x24361,x24363),f727(x24362,x24363))
% 192.07/191.94 [2437]~E(x24371,x24372)+E(f727(x24373,x24371),f727(x24373,x24372))
% 192.07/191.94 [2438]~E(x24381,x24382)+E(f330(x24381,x24383,x24384,x24385),f330(x24382,x24383,x24384,x24385))
% 192.07/191.94 [2439]~E(x24391,x24392)+E(f330(x24393,x24391,x24394,x24395),f330(x24393,x24392,x24394,x24395))
% 192.07/191.94 [2440]~E(x24401,x24402)+E(f330(x24403,x24404,x24401,x24405),f330(x24403,x24404,x24402,x24405))
% 192.07/191.94 [2441]~E(x24411,x24412)+E(f330(x24413,x24414,x24415,x24411),f330(x24413,x24414,x24415,x24412))
% 192.07/191.94 [2442]~E(x24421,x24422)+E(f820(x24421),f820(x24422))
% 192.07/191.94 [2443]~E(x24431,x24432)+E(f745(x24431,x24433,x24434,x24435,x24436,x24437),f745(x24432,x24433,x24434,x24435,x24436,x24437))
% 192.07/191.94 [2444]~E(x24441,x24442)+E(f745(x24443,x24441,x24444,x24445,x24446,x24447),f745(x24443,x24442,x24444,x24445,x24446,x24447))
% 192.07/191.94 [2445]~E(x24451,x24452)+E(f745(x24453,x24454,x24451,x24455,x24456,x24457),f745(x24453,x24454,x24452,x24455,x24456,x24457))
% 192.07/191.94 [2446]~E(x24461,x24462)+E(f745(x24463,x24464,x24465,x24461,x24466,x24467),f745(x24463,x24464,x24465,x24462,x24466,x24467))
% 192.07/191.94 [2447]~E(x24471,x24472)+E(f745(x24473,x24474,x24475,x24476,x24471,x24477),f745(x24473,x24474,x24475,x24476,x24472,x24477))
% 192.07/191.94 [2448]~E(x24481,x24482)+E(f745(x24483,x24484,x24485,x24486,x24487,x24481),f745(x24483,x24484,x24485,x24486,x24487,x24482))
% 192.07/191.94 [2449]~E(x24491,x24492)+E(f569(x24491,x24493,x24494,x24495,x24496),f569(x24492,x24493,x24494,x24495,x24496))
% 192.07/191.94 [2450]~E(x24501,x24502)+E(f569(x24503,x24501,x24504,x24505,x24506),f569(x24503,x24502,x24504,x24505,x24506))
% 192.07/191.94 [2451]~E(x24511,x24512)+E(f569(x24513,x24514,x24511,x24515,x24516),f569(x24513,x24514,x24512,x24515,x24516))
% 192.07/191.94 [2452]~E(x24521,x24522)+E(f569(x24523,x24524,x24525,x24521,x24526),f569(x24523,x24524,x24525,x24522,x24526))
% 192.07/191.94 [2453]~E(x24531,x24532)+E(f569(x24533,x24534,x24535,x24536,x24531),f569(x24533,x24534,x24535,x24536,x24532))
% 192.07/191.94 [2454]~E(x24541,x24542)+E(f734(x24541,x24543,x24544),f734(x24542,x24543,x24544))
% 192.07/191.94 [2455]~E(x24551,x24552)+E(f734(x24553,x24551,x24554),f734(x24553,x24552,x24554))
% 192.07/191.94 [2456]~E(x24561,x24562)+E(f734(x24563,x24564,x24561),f734(x24563,x24564,x24562))
% 192.07/191.94 [2457]~E(x24571,x24572)+E(f325(x24571,x24573),f325(x24572,x24573))
% 192.07/191.94 [2458]~E(x24581,x24582)+E(f325(x24583,x24581),f325(x24583,x24582))
% 192.07/191.94 [2459]~E(x24591,x24592)+E(f196(x24591,x24593,x24594,x24595),f196(x24592,x24593,x24594,x24595))
% 192.07/191.94 [2460]~E(x24601,x24602)+E(f196(x24603,x24601,x24604,x24605),f196(x24603,x24602,x24604,x24605))
% 192.07/191.94 [2461]~E(x24611,x24612)+E(f196(x24613,x24614,x24611,x24615),f196(x24613,x24614,x24612,x24615))
% 192.07/191.94 [2462]~E(x24621,x24622)+E(f196(x24623,x24624,x24625,x24621),f196(x24623,x24624,x24625,x24622))
% 192.07/191.94 [2463]~E(x24631,x24632)+E(f416(x24631,x24633,x24634,x24635),f416(x24632,x24633,x24634,x24635))
% 192.07/191.94 [2464]~E(x24641,x24642)+E(f416(x24643,x24641,x24644,x24645),f416(x24643,x24642,x24644,x24645))
% 192.07/191.94 [2465]~E(x24651,x24652)+E(f416(x24653,x24654,x24651,x24655),f416(x24653,x24654,x24652,x24655))
% 192.07/191.94 [2466]~E(x24661,x24662)+E(f416(x24663,x24664,x24665,x24661),f416(x24663,x24664,x24665,x24662))
% 192.07/191.94 [2467]~E(x24671,x24672)+E(f401(x24671,x24673),f401(x24672,x24673))
% 192.07/191.94 [2468]~E(x24681,x24682)+E(f401(x24683,x24681),f401(x24683,x24682))
% 192.07/191.94 [2469]~E(x24691,x24692)+E(f215(x24691,x24693,x24694,x24695,x24696),f215(x24692,x24693,x24694,x24695,x24696))
% 192.07/191.94 [2470]~E(x24701,x24702)+E(f215(x24703,x24701,x24704,x24705,x24706),f215(x24703,x24702,x24704,x24705,x24706))
% 192.07/191.94 [2471]~E(x24711,x24712)+E(f215(x24713,x24714,x24711,x24715,x24716),f215(x24713,x24714,x24712,x24715,x24716))
% 192.07/191.94 [2472]~E(x24721,x24722)+E(f215(x24723,x24724,x24725,x24721,x24726),f215(x24723,x24724,x24725,x24722,x24726))
% 192.07/191.94 [2473]~E(x24731,x24732)+E(f215(x24733,x24734,x24735,x24736,x24731),f215(x24733,x24734,x24735,x24736,x24732))
% 192.07/191.94 [2474]~E(x24741,x24742)+E(f656(x24741,x24743),f656(x24742,x24743))
% 192.07/191.94 [2475]~E(x24751,x24752)+E(f656(x24753,x24751),f656(x24753,x24752))
% 192.07/191.94 [2476]~E(x24761,x24762)+E(f400(x24761,x24763,x24764),f400(x24762,x24763,x24764))
% 192.07/191.94 [2477]~E(x24771,x24772)+E(f400(x24773,x24771,x24774),f400(x24773,x24772,x24774))
% 192.07/191.94 [2478]~E(x24781,x24782)+E(f400(x24783,x24784,x24781),f400(x24783,x24784,x24782))
% 192.07/191.94 [2479]~E(x24791,x24792)+E(f645(x24791,x24793,x24794,x24795),f645(x24792,x24793,x24794,x24795))
% 192.07/191.94 [2480]~E(x24801,x24802)+E(f645(x24803,x24801,x24804,x24805),f645(x24803,x24802,x24804,x24805))
% 192.07/191.94 [2481]~E(x24811,x24812)+E(f645(x24813,x24814,x24811,x24815),f645(x24813,x24814,x24812,x24815))
% 192.07/191.94 [2482]~E(x24821,x24822)+E(f645(x24823,x24824,x24825,x24821),f645(x24823,x24824,x24825,x24822))
% 192.07/191.94 [2483]~E(x24831,x24832)+E(f449(x24831,x24833,x24834),f449(x24832,x24833,x24834))
% 192.07/191.94 [2484]~E(x24841,x24842)+E(f449(x24843,x24841,x24844),f449(x24843,x24842,x24844))
% 192.07/191.94 [2485]~E(x24851,x24852)+E(f449(x24853,x24854,x24851),f449(x24853,x24854,x24852))
% 192.07/191.94 [2486]~E(x24861,x24862)+E(f805(x24861,x24863,x24864),f805(x24862,x24863,x24864))
% 192.07/191.94 [2487]~E(x24871,x24872)+E(f805(x24873,x24871,x24874),f805(x24873,x24872,x24874))
% 192.07/191.94 [2488]~E(x24881,x24882)+E(f805(x24883,x24884,x24881),f805(x24883,x24884,x24882))
% 192.07/191.94 [2489]~E(x24891,x24892)+E(f265(x24891,x24893),f265(x24892,x24893))
% 192.07/191.94 [2490]~E(x24901,x24902)+E(f265(x24903,x24901),f265(x24903,x24902))
% 192.07/191.94 [2491]~E(x24911,x24912)+E(f718(x24911,x24913,x24914,x24915,x24916),f718(x24912,x24913,x24914,x24915,x24916))
% 192.07/191.94 [2492]~E(x24921,x24922)+E(f718(x24923,x24921,x24924,x24925,x24926),f718(x24923,x24922,x24924,x24925,x24926))
% 192.07/191.94 [2493]~E(x24931,x24932)+E(f718(x24933,x24934,x24931,x24935,x24936),f718(x24933,x24934,x24932,x24935,x24936))
% 192.07/191.94 [2494]~E(x24941,x24942)+E(f718(x24943,x24944,x24945,x24941,x24946),f718(x24943,x24944,x24945,x24942,x24946))
% 192.07/191.94 [2495]~E(x24951,x24952)+E(f718(x24953,x24954,x24955,x24956,x24951),f718(x24953,x24954,x24955,x24956,x24952))
% 192.07/191.94 [2496]~E(x24961,x24962)+E(f269(x24961,x24963,x24964,x24965),f269(x24962,x24963,x24964,x24965))
% 192.07/191.94 [2497]~E(x24971,x24972)+E(f269(x24973,x24971,x24974,x24975),f269(x24973,x24972,x24974,x24975))
% 192.07/191.94 [2498]~E(x24981,x24982)+E(f269(x24983,x24984,x24981,x24985),f269(x24983,x24984,x24982,x24985))
% 192.07/191.94 [2499]~E(x24991,x24992)+E(f269(x24993,x24994,x24995,x24991),f269(x24993,x24994,x24995,x24992))
% 192.07/191.94 [2500]~E(x25001,x25002)+E(f648(x25001,x25003),f648(x25002,x25003))
% 192.07/191.94 [2501]~E(x25011,x25012)+E(f648(x25013,x25011),f648(x25013,x25012))
% 192.07/191.94 [2502]~E(x25021,x25022)+E(f228(x25021,x25023),f228(x25022,x25023))
% 192.07/191.94 [2503]~E(x25031,x25032)+E(f228(x25033,x25031),f228(x25033,x25032))
% 192.07/191.94 [2504]~E(x25041,x25042)+E(f796(x25041,x25043),f796(x25042,x25043))
% 192.07/191.94 [2505]~E(x25051,x25052)+E(f796(x25053,x25051),f796(x25053,x25052))
% 192.07/191.94 [2506]~E(x25061,x25062)+E(f412(x25061,x25063,x25064),f412(x25062,x25063,x25064))
% 192.07/191.94 [2507]~E(x25071,x25072)+E(f412(x25073,x25071,x25074),f412(x25073,x25072,x25074))
% 192.07/191.94 [2508]~E(x25081,x25082)+E(f412(x25083,x25084,x25081),f412(x25083,x25084,x25082))
% 192.07/191.94 [2509]~E(x25091,x25092)+E(f703(x25091,x25093,x25094),f703(x25092,x25093,x25094))
% 192.07/191.94 [2510]~E(x25101,x25102)+E(f703(x25103,x25101,x25104),f703(x25103,x25102,x25104))
% 192.07/191.94 [2511]~E(x25111,x25112)+E(f703(x25113,x25114,x25111),f703(x25113,x25114,x25112))
% 192.07/191.94 [2512]~E(x25121,x25122)+E(f894(x25121,x25123,x25124,x25125),f894(x25122,x25123,x25124,x25125))
% 192.07/191.94 [2513]~E(x25131,x25132)+E(f894(x25133,x25131,x25134,x25135),f894(x25133,x25132,x25134,x25135))
% 192.07/191.94 [2514]~E(x25141,x25142)+E(f894(x25143,x25144,x25141,x25145),f894(x25143,x25144,x25142,x25145))
% 192.07/191.94 [2515]~E(x25151,x25152)+E(f894(x25153,x25154,x25155,x25151),f894(x25153,x25154,x25155,x25152))
% 192.07/191.94 [2516]~E(x25161,x25162)+E(f792(x25161,x25163),f792(x25162,x25163))
% 192.07/191.94 [2517]~E(x25171,x25172)+E(f792(x25173,x25171),f792(x25173,x25172))
% 192.07/191.94 [2518]~E(x25181,x25182)+E(f327(x25181,x25183,x25184),f327(x25182,x25183,x25184))
% 192.07/191.94 [2519]~E(x25191,x25192)+E(f327(x25193,x25191,x25194),f327(x25193,x25192,x25194))
% 192.07/191.94 [2520]~E(x25201,x25202)+E(f327(x25203,x25204,x25201),f327(x25203,x25204,x25202))
% 192.07/191.94 [2521]~E(x25211,x25212)+E(f701(x25211,x25213,x25214,x25215),f701(x25212,x25213,x25214,x25215))
% 192.07/191.94 [2522]~E(x25221,x25222)+E(f701(x25223,x25221,x25224,x25225),f701(x25223,x25222,x25224,x25225))
% 192.07/191.94 [2523]~E(x25231,x25232)+E(f701(x25233,x25234,x25231,x25235),f701(x25233,x25234,x25232,x25235))
% 192.07/191.94 [2524]~E(x25241,x25242)+E(f701(x25243,x25244,x25245,x25241),f701(x25243,x25244,x25245,x25242))
% 192.07/191.94 [2525]~E(x25251,x25252)+E(f529(x25251,x25253,x25254,x25255,x25256),f529(x25252,x25253,x25254,x25255,x25256))
% 192.07/191.94 [2526]~E(x25261,x25262)+E(f529(x25263,x25261,x25264,x25265,x25266),f529(x25263,x25262,x25264,x25265,x25266))
% 192.07/191.94 [2527]~E(x25271,x25272)+E(f529(x25273,x25274,x25271,x25275,x25276),f529(x25273,x25274,x25272,x25275,x25276))
% 192.07/191.94 [2528]~E(x25281,x25282)+E(f529(x25283,x25284,x25285,x25281,x25286),f529(x25283,x25284,x25285,x25282,x25286))
% 192.07/191.94 [2529]~E(x25291,x25292)+E(f529(x25293,x25294,x25295,x25296,x25291),f529(x25293,x25294,x25295,x25296,x25292))
% 192.07/191.94 [2530]~E(x25301,x25302)+E(f37(x25301),f37(x25302))
% 192.07/191.94 [2531]~E(x25311,x25312)+E(f199(x25311,x25313,x25314,x25315),f199(x25312,x25313,x25314,x25315))
% 192.07/191.94 [2532]~E(x25321,x25322)+E(f199(x25323,x25321,x25324,x25325),f199(x25323,x25322,x25324,x25325))
% 192.07/191.94 [2533]~E(x25331,x25332)+E(f199(x25333,x25334,x25331,x25335),f199(x25333,x25334,x25332,x25335))
% 192.07/191.94 [2534]~E(x25341,x25342)+E(f199(x25343,x25344,x25345,x25341),f199(x25343,x25344,x25345,x25342))
% 192.07/191.94 [2535]~E(x25351,x25352)+E(f822(x25351,x25353),f822(x25352,x25353))
% 192.07/191.94 [2536]~E(x25361,x25362)+E(f822(x25363,x25361),f822(x25363,x25362))
% 192.07/191.94 [2537]~E(x25371,x25372)+E(f769(x25371,x25373,x25374),f769(x25372,x25373,x25374))
% 192.07/191.94 [2538]~E(x25381,x25382)+E(f769(x25383,x25381,x25384),f769(x25383,x25382,x25384))
% 192.07/191.94 [2539]~E(x25391,x25392)+E(f769(x25393,x25394,x25391),f769(x25393,x25394,x25392))
% 192.07/191.94 [2540]~E(x25401,x25402)+E(f560(x25401,x25403,x25404,x25405),f560(x25402,x25403,x25404,x25405))
% 192.07/191.94 [2541]~E(x25411,x25412)+E(f560(x25413,x25411,x25414,x25415),f560(x25413,x25412,x25414,x25415))
% 192.07/191.94 [2542]~E(x25421,x25422)+E(f560(x25423,x25424,x25421,x25425),f560(x25423,x25424,x25422,x25425))
% 192.07/191.94 [2543]~E(x25431,x25432)+E(f560(x25433,x25434,x25435,x25431),f560(x25433,x25434,x25435,x25432))
% 192.07/191.94 [2544]~E(x25441,x25442)+E(f519(x25441,x25443,x25444),f519(x25442,x25443,x25444))
% 192.07/191.94 [2545]~E(x25451,x25452)+E(f519(x25453,x25451,x25454),f519(x25453,x25452,x25454))
% 192.07/191.94 [2546]~E(x25461,x25462)+E(f519(x25463,x25464,x25461),f519(x25463,x25464,x25462))
% 192.07/191.94 [2547]~E(x25471,x25472)+E(f214(x25471,x25473,x25474,x25475,x25476),f214(x25472,x25473,x25474,x25475,x25476))
% 192.07/191.94 [2548]~E(x25481,x25482)+E(f214(x25483,x25481,x25484,x25485,x25486),f214(x25483,x25482,x25484,x25485,x25486))
% 192.07/191.94 [2549]~E(x25491,x25492)+E(f214(x25493,x25494,x25491,x25495,x25496),f214(x25493,x25494,x25492,x25495,x25496))
% 192.07/191.94 [2550]~E(x25501,x25502)+E(f214(x25503,x25504,x25505,x25501,x25506),f214(x25503,x25504,x25505,x25502,x25506))
% 192.07/191.94 [2551]~E(x25511,x25512)+E(f214(x25513,x25514,x25515,x25516,x25511),f214(x25513,x25514,x25515,x25516,x25512))
% 192.07/191.94 [2552]~E(x25521,x25522)+E(f447(x25521,x25523,x25524),f447(x25522,x25523,x25524))
% 192.07/191.94 [2553]~E(x25531,x25532)+E(f447(x25533,x25531,x25534),f447(x25533,x25532,x25534))
% 192.07/191.94 [2554]~E(x25541,x25542)+E(f447(x25543,x25544,x25541),f447(x25543,x25544,x25542))
% 192.07/191.94 [2555]~E(x25551,x25552)+E(f283(x25551,x25553),f283(x25552,x25553))
% 192.07/191.94 [2556]~E(x25561,x25562)+E(f283(x25563,x25561),f283(x25563,x25562))
% 192.07/191.94 [2557]~E(x25571,x25572)+E(f392(x25571,x25573,x25574,x25575,x25576),f392(x25572,x25573,x25574,x25575,x25576))
% 192.07/191.94 [2558]~E(x25581,x25582)+E(f392(x25583,x25581,x25584,x25585,x25586),f392(x25583,x25582,x25584,x25585,x25586))
% 192.07/191.94 [2559]~E(x25591,x25592)+E(f392(x25593,x25594,x25591,x25595,x25596),f392(x25593,x25594,x25592,x25595,x25596))
% 192.07/191.94 [2560]~E(x25601,x25602)+E(f392(x25603,x25604,x25605,x25601,x25606),f392(x25603,x25604,x25605,x25602,x25606))
% 192.07/191.94 [2561]~E(x25611,x25612)+E(f392(x25613,x25614,x25615,x25616,x25611),f392(x25613,x25614,x25615,x25616,x25612))
% 192.07/191.94 [2562]~E(x25621,x25622)+E(f720(x25621,x25623,x25624,x25625,x25626),f720(x25622,x25623,x25624,x25625,x25626))
% 192.07/191.94 [2563]~E(x25631,x25632)+E(f720(x25633,x25631,x25634,x25635,x25636),f720(x25633,x25632,x25634,x25635,x25636))
% 192.07/191.94 [2564]~E(x25641,x25642)+E(f720(x25643,x25644,x25641,x25645,x25646),f720(x25643,x25644,x25642,x25645,x25646))
% 192.07/191.94 [2565]~E(x25651,x25652)+E(f720(x25653,x25654,x25655,x25651,x25656),f720(x25653,x25654,x25655,x25652,x25656))
% 192.07/191.94 [2566]~E(x25661,x25662)+E(f720(x25663,x25664,x25665,x25666,x25661),f720(x25663,x25664,x25665,x25666,x25662))
% 192.07/191.94 [2567]~E(x25671,x25672)+E(f469(x25671,x25673,x25674,x25675),f469(x25672,x25673,x25674,x25675))
% 192.07/191.94 [2568]~E(x25681,x25682)+E(f469(x25683,x25681,x25684,x25685),f469(x25683,x25682,x25684,x25685))
% 192.07/191.94 [2569]~E(x25691,x25692)+E(f469(x25693,x25694,x25691,x25695),f469(x25693,x25694,x25692,x25695))
% 192.07/191.94 [2570]~E(x25701,x25702)+E(f469(x25703,x25704,x25705,x25701),f469(x25703,x25704,x25705,x25702))
% 192.07/191.94 [2571]~E(x25711,x25712)+E(f797(x25711,x25713,x25714,x25715,x25716),f797(x25712,x25713,x25714,x25715,x25716))
% 192.07/191.94 [2572]~E(x25721,x25722)+E(f797(x25723,x25721,x25724,x25725,x25726),f797(x25723,x25722,x25724,x25725,x25726))
% 192.07/191.94 [2573]~E(x25731,x25732)+E(f797(x25733,x25734,x25731,x25735,x25736),f797(x25733,x25734,x25732,x25735,x25736))
% 192.07/191.94 [2574]~E(x25741,x25742)+E(f797(x25743,x25744,x25745,x25741,x25746),f797(x25743,x25744,x25745,x25742,x25746))
% 192.07/191.94 [2575]~E(x25751,x25752)+E(f797(x25753,x25754,x25755,x25756,x25751),f797(x25753,x25754,x25755,x25756,x25752))
% 192.07/191.94 [2576]~E(x25761,x25762)+E(f686(x25761,x25763,x25764,x25765,x25766),f686(x25762,x25763,x25764,x25765,x25766))
% 192.07/191.94 [2577]~E(x25771,x25772)+E(f686(x25773,x25771,x25774,x25775,x25776),f686(x25773,x25772,x25774,x25775,x25776))
% 192.07/191.94 [2578]~E(x25781,x25782)+E(f686(x25783,x25784,x25781,x25785,x25786),f686(x25783,x25784,x25782,x25785,x25786))
% 192.07/191.94 [2579]~E(x25791,x25792)+E(f686(x25793,x25794,x25795,x25791,x25796),f686(x25793,x25794,x25795,x25792,x25796))
% 192.07/191.94 [2580]~E(x25801,x25802)+E(f686(x25803,x25804,x25805,x25806,x25801),f686(x25803,x25804,x25805,x25806,x25802))
% 192.07/191.94 [2581]~E(x25811,x25812)+E(f551(x25811,x25813,x25814,x25815,x25816,x25817,x25818,x25819),f551(x25812,x25813,x25814,x25815,x25816,x25817,x25818,x25819))
% 192.07/191.94 [2582]~E(x25821,x25822)+E(f551(x25823,x25821,x25824,x25825,x25826,x25827,x25828,x25829),f551(x25823,x25822,x25824,x25825,x25826,x25827,x25828,x25829))
% 192.07/191.94 [2583]~E(x25831,x25832)+E(f551(x25833,x25834,x25831,x25835,x25836,x25837,x25838,x25839),f551(x25833,x25834,x25832,x25835,x25836,x25837,x25838,x25839))
% 192.07/191.94 [2584]~E(x25841,x25842)+E(f551(x25843,x25844,x25845,x25841,x25846,x25847,x25848,x25849),f551(x25843,x25844,x25845,x25842,x25846,x25847,x25848,x25849))
% 192.07/191.94 [2585]~E(x25851,x25852)+E(f551(x25853,x25854,x25855,x25856,x25851,x25857,x25858,x25859),f551(x25853,x25854,x25855,x25856,x25852,x25857,x25858,x25859))
% 192.07/191.94 [2586]~E(x25861,x25862)+E(f551(x25863,x25864,x25865,x25866,x25867,x25861,x25868,x25869),f551(x25863,x25864,x25865,x25866,x25867,x25862,x25868,x25869))
% 192.07/191.94 [2587]~E(x25871,x25872)+E(f551(x25873,x25874,x25875,x25876,x25877,x25878,x25871,x25879),f551(x25873,x25874,x25875,x25876,x25877,x25878,x25872,x25879))
% 192.07/191.94 [2588]~E(x25881,x25882)+E(f551(x25883,x25884,x25885,x25886,x25887,x25888,x25889,x25881),f551(x25883,x25884,x25885,x25886,x25887,x25888,x25889,x25882))
% 192.07/191.94 [2589]~E(x25891,x25892)+E(f114(x25891),f114(x25892))
% 192.07/191.94 [2590]~E(x25901,x25902)+E(f781(x25901,x25903,x25904,x25905),f781(x25902,x25903,x25904,x25905))
% 192.07/191.94 [2591]~E(x25911,x25912)+E(f781(x25913,x25911,x25914,x25915),f781(x25913,x25912,x25914,x25915))
% 192.07/191.94 [2592]~E(x25921,x25922)+E(f781(x25923,x25924,x25921,x25925),f781(x25923,x25924,x25922,x25925))
% 192.07/191.94 [2593]~E(x25931,x25932)+E(f781(x25933,x25934,x25935,x25931),f781(x25933,x25934,x25935,x25932))
% 192.07/191.94 [2594]~E(x25941,x25942)+E(f638(x25941,x25943,x25944),f638(x25942,x25943,x25944))
% 192.07/191.94 [2595]~E(x25951,x25952)+E(f638(x25953,x25951,x25954),f638(x25953,x25952,x25954))
% 192.07/191.94 [2596]~E(x25961,x25962)+E(f638(x25963,x25964,x25961),f638(x25963,x25964,x25962))
% 192.07/191.94 [2597]~E(x25971,x25972)+E(f664(x25971,x25973),f664(x25972,x25973))
% 192.07/191.94 [2598]~E(x25981,x25982)+E(f664(x25983,x25981),f664(x25983,x25982))
% 192.07/191.94 [2599]~E(x25991,x25992)+E(f815(x25991,x25993,x25994,x25995),f815(x25992,x25993,x25994,x25995))
% 192.07/191.94 [2600]~E(x26001,x26002)+E(f815(x26003,x26001,x26004,x26005),f815(x26003,x26002,x26004,x26005))
% 192.07/191.94 [2601]~E(x26011,x26012)+E(f815(x26013,x26014,x26011,x26015),f815(x26013,x26014,x26012,x26015))
% 192.07/191.94 [2602]~E(x26021,x26022)+E(f815(x26023,x26024,x26025,x26021),f815(x26023,x26024,x26025,x26022))
% 192.07/191.94 [2603]~E(x26031,x26032)+E(f861(x26031,x26033),f861(x26032,x26033))
% 192.07/191.94 [2604]~E(x26041,x26042)+E(f861(x26043,x26041),f861(x26043,x26042))
% 192.07/191.94 [2605]~E(x26051,x26052)+E(f782(x26051,x26053,x26054,x26055,x26056),f782(x26052,x26053,x26054,x26055,x26056))
% 192.07/191.94 [2606]~E(x26061,x26062)+E(f782(x26063,x26061,x26064,x26065,x26066),f782(x26063,x26062,x26064,x26065,x26066))
% 192.07/191.94 [2607]~E(x26071,x26072)+E(f782(x26073,x26074,x26071,x26075,x26076),f782(x26073,x26074,x26072,x26075,x26076))
% 192.07/191.94 [2608]~E(x26081,x26082)+E(f782(x26083,x26084,x26085,x26081,x26086),f782(x26083,x26084,x26085,x26082,x26086))
% 192.07/191.94 [2609]~E(x26091,x26092)+E(f782(x26093,x26094,x26095,x26096,x26091),f782(x26093,x26094,x26095,x26096,x26092))
% 192.07/191.94 [2610]~E(x26101,x26102)+E(f384(x26101,x26103,x26104),f384(x26102,x26103,x26104))
% 192.07/191.94 [2611]~E(x26111,x26112)+E(f384(x26113,x26111,x26114),f384(x26113,x26112,x26114))
% 192.07/191.94 [2612]~E(x26121,x26122)+E(f384(x26123,x26124,x26121),f384(x26123,x26124,x26122))
% 192.07/191.94 [2613]~E(x26131,x26132)+E(f846(x26131,x26133,x26134),f846(x26132,x26133,x26134))
% 192.07/191.94 [2614]~E(x26141,x26142)+E(f846(x26143,x26141,x26144),f846(x26143,x26142,x26144))
% 192.07/191.94 [2615]~E(x26151,x26152)+E(f846(x26153,x26154,x26151),f846(x26153,x26154,x26152))
% 192.07/191.94 [2616]~E(x26161,x26162)+E(f733(x26161,x26163,x26164),f733(x26162,x26163,x26164))
% 192.07/191.94 [2617]~E(x26171,x26172)+E(f733(x26173,x26171,x26174),f733(x26173,x26172,x26174))
% 192.07/191.94 [2618]~E(x26181,x26182)+E(f733(x26183,x26184,x26181),f733(x26183,x26184,x26182))
% 192.07/191.94 [2619]~E(x26191,x26192)+E(f634(x26191,x26193,x26194),f634(x26192,x26193,x26194))
% 192.07/191.94 [2620]~E(x26201,x26202)+E(f634(x26203,x26201,x26204),f634(x26203,x26202,x26204))
% 192.07/191.94 [2621]~E(x26211,x26212)+E(f634(x26213,x26214,x26211),f634(x26213,x26214,x26212))
% 192.07/191.94 [2622]~E(x26221,x26222)+E(f190(x26221),f190(x26222))
% 192.07/191.94 [2623]~E(x26231,x26232)+E(f803(x26231),f803(x26232))
% 192.07/191.94 [2624]~E(x26241,x26242)+E(f662(x26241,x26243),f662(x26242,x26243))
% 192.07/191.94 [2625]~E(x26251,x26252)+E(f662(x26253,x26251),f662(x26253,x26252))
% 192.07/191.94 [2626]~E(x26261,x26262)+E(f302(x26261,x26263),f302(x26262,x26263))
% 192.07/191.94 [2627]~E(x26271,x26272)+E(f302(x26273,x26271),f302(x26273,x26272))
% 192.07/191.94 [2628]~E(x26281,x26282)+E(f714(x26281,x26283),f714(x26282,x26283))
% 192.07/191.94 [2629]~E(x26291,x26292)+E(f714(x26293,x26291),f714(x26293,x26292))
% 192.07/191.94 [2630]~E(x26301,x26302)+E(f336(x26301,x26303),f336(x26302,x26303))
% 192.07/191.94 [2631]~E(x26311,x26312)+E(f336(x26313,x26311),f336(x26313,x26312))
% 192.07/191.94 [2632]~E(x26321,x26322)+E(f465(x26321,x26323,x26324),f465(x26322,x26323,x26324))
% 192.07/191.94 [2633]~E(x26331,x26332)+E(f465(x26333,x26331,x26334),f465(x26333,x26332,x26334))
% 192.07/191.94 [2634]~E(x26341,x26342)+E(f465(x26343,x26344,x26341),f465(x26343,x26344,x26342))
% 192.07/191.94 [2635]~E(x26351,x26352)+E(f570(x26351,x26353,x26354),f570(x26352,x26353,x26354))
% 192.07/191.94 [2636]~E(x26361,x26362)+E(f570(x26363,x26361,x26364),f570(x26363,x26362,x26364))
% 192.07/191.94 [2637]~E(x26371,x26372)+E(f570(x26373,x26374,x26371),f570(x26373,x26374,x26372))
% 192.07/191.94 [2638]~E(x26381,x26382)+E(f404(x26381,x26383,x26384),f404(x26382,x26383,x26384))
% 192.07/191.94 [2639]~E(x26391,x26392)+E(f404(x26393,x26391,x26394),f404(x26393,x26392,x26394))
% 192.07/191.94 [2640]~E(x26401,x26402)+E(f404(x26403,x26404,x26401),f404(x26403,x26404,x26402))
% 192.07/191.94 [2641]~E(x26411,x26412)+E(f879(x26411),f879(x26412))
% 192.07/191.94 [2642]~E(x26421,x26422)+E(f531(x26421,x26423,x26424,x26425,x26426,x26427),f531(x26422,x26423,x26424,x26425,x26426,x26427))
% 192.07/191.94 [2643]~E(x26431,x26432)+E(f531(x26433,x26431,x26434,x26435,x26436,x26437),f531(x26433,x26432,x26434,x26435,x26436,x26437))
% 192.07/191.94 [2644]~E(x26441,x26442)+E(f531(x26443,x26444,x26441,x26445,x26446,x26447),f531(x26443,x26444,x26442,x26445,x26446,x26447))
% 192.07/191.94 [2645]~E(x26451,x26452)+E(f531(x26453,x26454,x26455,x26451,x26456,x26457),f531(x26453,x26454,x26455,x26452,x26456,x26457))
% 192.07/191.94 [2646]~E(x26461,x26462)+E(f531(x26463,x26464,x26465,x26466,x26461,x26467),f531(x26463,x26464,x26465,x26466,x26462,x26467))
% 192.07/191.94 [2647]~E(x26471,x26472)+E(f531(x26473,x26474,x26475,x26476,x26477,x26471),f531(x26473,x26474,x26475,x26476,x26477,x26472))
% 192.07/191.94 [2648]~E(x26481,x26482)+E(f543(x26481,x26483,x26484,x26485,x26486,x26487,x26488),f543(x26482,x26483,x26484,x26485,x26486,x26487,x26488))
% 192.07/191.94 [2649]~E(x26491,x26492)+E(f543(x26493,x26491,x26494,x26495,x26496,x26497,x26498),f543(x26493,x26492,x26494,x26495,x26496,x26497,x26498))
% 192.07/191.94 [2650]~E(x26501,x26502)+E(f543(x26503,x26504,x26501,x26505,x26506,x26507,x26508),f543(x26503,x26504,x26502,x26505,x26506,x26507,x26508))
% 192.07/191.94 [2651]~E(x26511,x26512)+E(f543(x26513,x26514,x26515,x26511,x26516,x26517,x26518),f543(x26513,x26514,x26515,x26512,x26516,x26517,x26518))
% 192.07/191.94 [2652]~E(x26521,x26522)+E(f543(x26523,x26524,x26525,x26526,x26521,x26527,x26528),f543(x26523,x26524,x26525,x26526,x26522,x26527,x26528))
% 192.07/191.94 [2653]~E(x26531,x26532)+E(f543(x26533,x26534,x26535,x26536,x26537,x26531,x26538),f543(x26533,x26534,x26535,x26536,x26537,x26532,x26538))
% 192.07/191.94 [2654]~E(x26541,x26542)+E(f543(x26543,x26544,x26545,x26546,x26547,x26548,x26541),f543(x26543,x26544,x26545,x26546,x26547,x26548,x26542))
% 192.07/191.94 [2655]~E(x26551,x26552)+E(f426(x26551,x26553,x26554,x26555),f426(x26552,x26553,x26554,x26555))
% 192.07/191.94 [2656]~E(x26561,x26562)+E(f426(x26563,x26561,x26564,x26565),f426(x26563,x26562,x26564,x26565))
% 192.07/191.94 [2657]~E(x26571,x26572)+E(f426(x26573,x26574,x26571,x26575),f426(x26573,x26574,x26572,x26575))
% 192.07/191.94 [2658]~E(x26581,x26582)+E(f426(x26583,x26584,x26585,x26581),f426(x26583,x26584,x26585,x26582))
% 192.07/191.94 [2659]~E(x26591,x26592)+E(f642(x26591,x26593,x26594),f642(x26592,x26593,x26594))
% 192.07/191.94 [2660]~E(x26601,x26602)+E(f642(x26603,x26601,x26604),f642(x26603,x26602,x26604))
% 192.07/191.94 [2661]~E(x26611,x26612)+E(f642(x26613,x26614,x26611),f642(x26613,x26614,x26612))
% 192.07/191.94 [2662]~E(x26621,x26622)+E(f768(x26621,x26623,x26624),f768(x26622,x26623,x26624))
% 192.07/191.94 [2663]~E(x26631,x26632)+E(f768(x26633,x26631,x26634),f768(x26633,x26632,x26634))
% 192.07/191.94 [2664]~E(x26641,x26642)+E(f768(x26643,x26644,x26641),f768(x26643,x26644,x26642))
% 192.07/191.94 [2665]~E(x26651,x26652)+E(f368(x26651,x26653,x26654,x26655,x26656),f368(x26652,x26653,x26654,x26655,x26656))
% 192.07/191.94 [2666]~E(x26661,x26662)+E(f368(x26663,x26661,x26664,x26665,x26666),f368(x26663,x26662,x26664,x26665,x26666))
% 192.07/191.94 [2667]~E(x26671,x26672)+E(f368(x26673,x26674,x26671,x26675,x26676),f368(x26673,x26674,x26672,x26675,x26676))
% 192.07/191.94 [2668]~E(x26681,x26682)+E(f368(x26683,x26684,x26685,x26681,x26686),f368(x26683,x26684,x26685,x26682,x26686))
% 192.07/191.94 [2669]~E(x26691,x26692)+E(f368(x26693,x26694,x26695,x26696,x26691),f368(x26693,x26694,x26695,x26696,x26692))
% 192.07/191.94 [2670]~E(x26701,x26702)+E(f578(x26701,x26703,x26704,x26705,x26706),f578(x26702,x26703,x26704,x26705,x26706))
% 192.07/191.94 [2671]~E(x26711,x26712)+E(f578(x26713,x26711,x26714,x26715,x26716),f578(x26713,x26712,x26714,x26715,x26716))
% 192.07/191.94 [2672]~E(x26721,x26722)+E(f578(x26723,x26724,x26721,x26725,x26726),f578(x26723,x26724,x26722,x26725,x26726))
% 192.07/191.94 [2673]~E(x26731,x26732)+E(f578(x26733,x26734,x26735,x26731,x26736),f578(x26733,x26734,x26735,x26732,x26736))
% 192.07/191.94 [2674]~E(x26741,x26742)+E(f578(x26743,x26744,x26745,x26746,x26741),f578(x26743,x26744,x26745,x26746,x26742))
% 192.07/191.94 [2675]~E(x26751,x26752)+E(f695(x26751,x26753),f695(x26752,x26753))
% 192.07/191.94 [2676]~E(x26761,x26762)+E(f695(x26763,x26761),f695(x26763,x26762))
% 192.07/191.94 [2677]~E(x26771,x26772)+E(f864(x26771,x26773),f864(x26772,x26773))
% 192.07/191.94 [2678]~E(x26781,x26782)+E(f864(x26783,x26781),f864(x26783,x26782))
% 192.07/191.94 [2679]~E(x26791,x26792)+E(f841(x26791,x26793,x26794,x26795,x26796,x26797),f841(x26792,x26793,x26794,x26795,x26796,x26797))
% 192.07/191.94 [2680]~E(x26801,x26802)+E(f841(x26803,x26801,x26804,x26805,x26806,x26807),f841(x26803,x26802,x26804,x26805,x26806,x26807))
% 192.07/191.94 [2681]~E(x26811,x26812)+E(f841(x26813,x26814,x26811,x26815,x26816,x26817),f841(x26813,x26814,x26812,x26815,x26816,x26817))
% 192.07/191.94 [2682]~E(x26821,x26822)+E(f841(x26823,x26824,x26825,x26821,x26826,x26827),f841(x26823,x26824,x26825,x26822,x26826,x26827))
% 192.07/191.94 [2683]~E(x26831,x26832)+E(f841(x26833,x26834,x26835,x26836,x26831,x26837),f841(x26833,x26834,x26835,x26836,x26832,x26837))
% 192.07/191.94 [2684]~E(x26841,x26842)+E(f841(x26843,x26844,x26845,x26846,x26847,x26841),f841(x26843,x26844,x26845,x26846,x26847,x26842))
% 192.07/191.94 [2685]~E(x26851,x26852)+E(f737(x26851,x26853),f737(x26852,x26853))
% 192.07/191.94 [2686]~E(x26861,x26862)+E(f737(x26863,x26861),f737(x26863,x26862))
% 192.07/191.94 [2687]~E(x26871,x26872)+E(f839(x26871,x26873,x26874,x26875),f839(x26872,x26873,x26874,x26875))
% 192.07/191.94 [2688]~E(x26881,x26882)+E(f839(x26883,x26881,x26884,x26885),f839(x26883,x26882,x26884,x26885))
% 192.07/191.94 [2689]~E(x26891,x26892)+E(f839(x26893,x26894,x26891,x26895),f839(x26893,x26894,x26892,x26895))
% 192.07/191.94 [2690]~E(x26901,x26902)+E(f839(x26903,x26904,x26905,x26901),f839(x26903,x26904,x26905,x26902))
% 192.07/191.94 [2691]~E(x26911,x26912)+E(f237(x26911,x26913,x26914),f237(x26912,x26913,x26914))
% 192.07/191.94 [2692]~E(x26921,x26922)+E(f237(x26923,x26921,x26924),f237(x26923,x26922,x26924))
% 192.07/191.94 [2693]~E(x26931,x26932)+E(f237(x26933,x26934,x26931),f237(x26933,x26934,x26932))
% 192.07/191.94 [2694]~E(x26941,x26942)+E(f785(x26941),f785(x26942))
% 192.07/191.94 [2695]~E(x26951,x26952)+E(f666(x26951,x26953,x26954),f666(x26952,x26953,x26954))
% 192.07/191.94 [2696]~E(x26961,x26962)+E(f666(x26963,x26961,x26964),f666(x26963,x26962,x26964))
% 192.07/191.94 [2697]~E(x26971,x26972)+E(f666(x26973,x26974,x26971),f666(x26973,x26974,x26972))
% 192.07/191.94 [2698]~E(x26981,x26982)+E(f518(x26981),f518(x26982))
% 192.07/191.94 [2699]~E(x26991,x26992)+E(f635(x26991,x26993),f635(x26992,x26993))
% 192.07/191.94 [2700]~E(x27001,x27002)+E(f635(x27003,x27001),f635(x27003,x27002))
% 192.07/191.94 [2701]~E(x27011,x27012)+E(f527(x27011,x27013),f527(x27012,x27013))
% 192.07/191.94 [2702]~E(x27021,x27022)+E(f527(x27023,x27021),f527(x27023,x27022))
% 192.07/191.94 [2703]~E(x27031,x27032)+E(f696(x27031,x27033,x27034),f696(x27032,x27033,x27034))
% 192.07/191.94 [2704]~E(x27041,x27042)+E(f696(x27043,x27041,x27044),f696(x27043,x27042,x27044))
% 192.07/191.94 [2705]~E(x27051,x27052)+E(f696(x27053,x27054,x27051),f696(x27053,x27054,x27052))
% 192.07/191.94 [2706]~E(x27061,x27062)+E(f346(x27061,x27063,x27064,x27065),f346(x27062,x27063,x27064,x27065))
% 192.07/191.94 [2707]~E(x27071,x27072)+E(f346(x27073,x27071,x27074,x27075),f346(x27073,x27072,x27074,x27075))
% 192.07/191.94 [2708]~E(x27081,x27082)+E(f346(x27083,x27084,x27081,x27085),f346(x27083,x27084,x27082,x27085))
% 192.07/191.94 [2709]~E(x27091,x27092)+E(f346(x27093,x27094,x27095,x27091),f346(x27093,x27094,x27095,x27092))
% 192.07/191.94 [2710]~E(x27101,x27102)+E(f857(x27101,x27103),f857(x27102,x27103))
% 192.07/191.94 [2711]~E(x27111,x27112)+E(f857(x27113,x27111),f857(x27113,x27112))
% 192.07/191.94 [2712]~E(x27121,x27122)+E(f743(x27121,x27123,x27124,x27125,x27126,x27127),f743(x27122,x27123,x27124,x27125,x27126,x27127))
% 192.07/191.94 [2713]~E(x27131,x27132)+E(f743(x27133,x27131,x27134,x27135,x27136,x27137),f743(x27133,x27132,x27134,x27135,x27136,x27137))
% 192.07/191.94 [2714]~E(x27141,x27142)+E(f743(x27143,x27144,x27141,x27145,x27146,x27147),f743(x27143,x27144,x27142,x27145,x27146,x27147))
% 192.07/191.94 [2715]~E(x27151,x27152)+E(f743(x27153,x27154,x27155,x27151,x27156,x27157),f743(x27153,x27154,x27155,x27152,x27156,x27157))
% 192.07/191.94 [2716]~E(x27161,x27162)+E(f743(x27163,x27164,x27165,x27166,x27161,x27167),f743(x27163,x27164,x27165,x27166,x27162,x27167))
% 192.07/191.94 [2717]~E(x27171,x27172)+E(f743(x27173,x27174,x27175,x27176,x27177,x27171),f743(x27173,x27174,x27175,x27176,x27177,x27172))
% 192.07/191.94 [2718]~E(x27181,x27182)+E(f799(x27181,x27183),f799(x27182,x27183))
% 192.07/191.94 [2719]~E(x27191,x27192)+E(f799(x27193,x27191),f799(x27193,x27192))
% 192.07/191.94 [2720]~E(x27201,x27202)+E(f713(x27201,x27203,x27204),f713(x27202,x27203,x27204))
% 192.07/191.94 [2721]~E(x27211,x27212)+E(f713(x27213,x27211,x27214),f713(x27213,x27212,x27214))
% 192.07/191.94 [2722]~E(x27221,x27222)+E(f713(x27223,x27224,x27221),f713(x27223,x27224,x27222))
% 192.07/191.94 [2723]~E(x27231,x27232)+E(f236(x27231,x27233,x27234,x27235,x27236,x27237),f236(x27232,x27233,x27234,x27235,x27236,x27237))
% 192.07/191.94 [2724]~E(x27241,x27242)+E(f236(x27243,x27241,x27244,x27245,x27246,x27247),f236(x27243,x27242,x27244,x27245,x27246,x27247))
% 192.07/191.94 [2725]~E(x27251,x27252)+E(f236(x27253,x27254,x27251,x27255,x27256,x27257),f236(x27253,x27254,x27252,x27255,x27256,x27257))
% 192.07/191.94 [2726]~E(x27261,x27262)+E(f236(x27263,x27264,x27265,x27261,x27266,x27267),f236(x27263,x27264,x27265,x27262,x27266,x27267))
% 192.07/191.94 [2727]~E(x27271,x27272)+E(f236(x27273,x27274,x27275,x27276,x27271,x27277),f236(x27273,x27274,x27275,x27276,x27272,x27277))
% 192.07/191.94 [2728]~E(x27281,x27282)+E(f236(x27283,x27284,x27285,x27286,x27287,x27281),f236(x27283,x27284,x27285,x27286,x27287,x27282))
% 192.07/191.94 [2729]~E(x27291,x27292)+E(f756(x27291,x27293,x27294,x27295),f756(x27292,x27293,x27294,x27295))
% 192.07/191.94 [2730]~E(x27301,x27302)+E(f756(x27303,x27301,x27304,x27305),f756(x27303,x27302,x27304,x27305))
% 192.07/191.94 [2731]~E(x27311,x27312)+E(f756(x27313,x27314,x27311,x27315),f756(x27313,x27314,x27312,x27315))
% 192.07/191.94 [2732]~E(x27321,x27322)+E(f756(x27323,x27324,x27325,x27321),f756(x27323,x27324,x27325,x27322))
% 192.07/191.94 [2733]~E(x27331,x27332)+E(f422(x27331,x27333,x27334,x27335,x27336),f422(x27332,x27333,x27334,x27335,x27336))
% 192.07/191.94 [2734]~E(x27341,x27342)+E(f422(x27343,x27341,x27344,x27345,x27346),f422(x27343,x27342,x27344,x27345,x27346))
% 192.07/191.94 [2735]~E(x27351,x27352)+E(f422(x27353,x27354,x27351,x27355,x27356),f422(x27353,x27354,x27352,x27355,x27356))
% 192.07/191.94 [2736]~E(x27361,x27362)+E(f422(x27363,x27364,x27365,x27361,x27366),f422(x27363,x27364,x27365,x27362,x27366))
% 192.07/191.94 [2737]~E(x27371,x27372)+E(f422(x27373,x27374,x27375,x27376,x27371),f422(x27373,x27374,x27375,x27376,x27372))
% 192.07/191.94 [2738]~E(x27381,x27382)+E(f887(x27381,x27383,x27384),f887(x27382,x27383,x27384))
% 192.07/191.94 [2739]~E(x27391,x27392)+E(f887(x27393,x27391,x27394),f887(x27393,x27392,x27394))
% 192.07/191.94 [2740]~E(x27401,x27402)+E(f887(x27403,x27404,x27401),f887(x27403,x27404,x27402))
% 192.07/191.94 [2741]~E(x27411,x27412)+E(f775(x27411,x27413,x27414,x27415,x27416,x27417,x27418),f775(x27412,x27413,x27414,x27415,x27416,x27417,x27418))
% 192.07/191.94 [2742]~E(x27421,x27422)+E(f775(x27423,x27421,x27424,x27425,x27426,x27427,x27428),f775(x27423,x27422,x27424,x27425,x27426,x27427,x27428))
% 192.07/191.94 [2743]~E(x27431,x27432)+E(f775(x27433,x27434,x27431,x27435,x27436,x27437,x27438),f775(x27433,x27434,x27432,x27435,x27436,x27437,x27438))
% 192.07/191.94 [2744]~E(x27441,x27442)+E(f775(x27443,x27444,x27445,x27441,x27446,x27447,x27448),f775(x27443,x27444,x27445,x27442,x27446,x27447,x27448))
% 192.07/191.94 [2745]~E(x27451,x27452)+E(f775(x27453,x27454,x27455,x27456,x27451,x27457,x27458),f775(x27453,x27454,x27455,x27456,x27452,x27457,x27458))
% 192.07/191.94 [2746]~E(x27461,x27462)+E(f775(x27463,x27464,x27465,x27466,x27467,x27461,x27468),f775(x27463,x27464,x27465,x27466,x27467,x27462,x27468))
% 192.07/191.94 [2747]~E(x27471,x27472)+E(f775(x27473,x27474,x27475,x27476,x27477,x27478,x27471),f775(x27473,x27474,x27475,x27476,x27477,x27478,x27472))
% 192.07/191.94 [2748]~E(x27481,x27482)+E(f777(x27481),f777(x27482))
% 192.07/191.94 [2749]~E(x27491,x27492)+E(f807(x27491,x27493),f807(x27492,x27493))
% 192.07/191.94 [2750]~E(x27501,x27502)+E(f807(x27503,x27501),f807(x27503,x27502))
% 192.07/191.94 [2751]~E(x27511,x27512)+E(f681(x27511,x27513),f681(x27512,x27513))
% 192.07/191.94 [2752]~E(x27521,x27522)+E(f681(x27523,x27521),f681(x27523,x27522))
% 192.07/191.94 [2753]~E(x27531,x27532)+E(f812(x27531,x27533),f812(x27532,x27533))
% 192.07/191.94 [2754]~E(x27541,x27542)+E(f812(x27543,x27541),f812(x27543,x27542))
% 192.07/191.94 [2755]~E(x27551,x27552)+E(f504(x27551,x27553,x27554),f504(x27552,x27553,x27554))
% 192.07/191.94 [2756]~E(x27561,x27562)+E(f504(x27563,x27561,x27564),f504(x27563,x27562,x27564))
% 192.07/191.94 [2757]~E(x27571,x27572)+E(f504(x27573,x27574,x27571),f504(x27573,x27574,x27572))
% 192.07/191.94 [2758]~E(x27581,x27582)+E(f808(x27581,x27583),f808(x27582,x27583))
% 192.07/191.94 [2759]~E(x27591,x27592)+E(f808(x27593,x27591),f808(x27593,x27592))
% 192.07/191.94 [2760]~E(x27601,x27602)+E(f200(x27601,x27603,x27604,x27605),f200(x27602,x27603,x27604,x27605))
% 192.07/191.94 [2761]~E(x27611,x27612)+E(f200(x27613,x27611,x27614,x27615),f200(x27613,x27612,x27614,x27615))
% 192.07/191.94 [2762]~E(x27621,x27622)+E(f200(x27623,x27624,x27621,x27625),f200(x27623,x27624,x27622,x27625))
% 192.07/191.94 [2763]~E(x27631,x27632)+E(f200(x27633,x27634,x27635,x27631),f200(x27633,x27634,x27635,x27632))
% 192.07/191.94 [2764]~E(x27641,x27642)+E(f859(x27641,x27643),f859(x27642,x27643))
% 192.07/191.94 [2765]~E(x27651,x27652)+E(f859(x27653,x27651),f859(x27653,x27652))
% 192.07/191.94 [2766]~E(x27661,x27662)+E(f712(x27661),f712(x27662))
% 192.07/191.94 [2767]~E(x27671,x27672)+E(f616(x27671,x27673,x27674,x27675),f616(x27672,x27673,x27674,x27675))
% 192.07/191.94 [2768]~E(x27681,x27682)+E(f616(x27683,x27681,x27684,x27685),f616(x27683,x27682,x27684,x27685))
% 192.07/191.94 [2769]~E(x27691,x27692)+E(f616(x27693,x27694,x27691,x27695),f616(x27693,x27694,x27692,x27695))
% 192.07/191.94 [2770]~E(x27701,x27702)+E(f616(x27703,x27704,x27705,x27701),f616(x27703,x27704,x27705,x27702))
% 192.07/191.94 [2771]~E(x27711,x27712)+E(f542(x27711,x27713,x27714,x27715),f542(x27712,x27713,x27714,x27715))
% 192.07/191.94 [2772]~E(x27721,x27722)+E(f542(x27723,x27721,x27724,x27725),f542(x27723,x27722,x27724,x27725))
% 192.07/191.94 [2773]~E(x27731,x27732)+E(f542(x27733,x27734,x27731,x27735),f542(x27733,x27734,x27732,x27735))
% 192.07/191.94 [2774]~E(x27741,x27742)+E(f542(x27743,x27744,x27745,x27741),f542(x27743,x27744,x27745,x27742))
% 192.07/191.94 [2775]~E(x27751,x27752)+E(f620(x27751,x27753,x27754,x27755),f620(x27752,x27753,x27754,x27755))
% 192.07/191.94 [2776]~E(x27761,x27762)+E(f620(x27763,x27761,x27764,x27765),f620(x27763,x27762,x27764,x27765))
% 192.07/191.94 [2777]~E(x27771,x27772)+E(f620(x27773,x27774,x27771,x27775),f620(x27773,x27774,x27772,x27775))
% 192.07/191.94 [2778]~E(x27781,x27782)+E(f620(x27783,x27784,x27785,x27781),f620(x27783,x27784,x27785,x27782))
% 192.07/191.94 [2779]~E(x27791,x27792)+E(f545(x27791,x27793),f545(x27792,x27793))
% 192.07/191.94 [2780]~E(x27801,x27802)+E(f545(x27803,x27801),f545(x27803,x27802))
% 192.07/191.94 [2781]~P1(x27811)+P1(x27812)+~E(x27811,x27812)
% 192.07/191.94 [2782]~P2(x27821)+P2(x27822)+~E(x27821,x27822)
% 192.07/191.94 [2783]~P3(x27831)+P3(x27832)+~E(x27831,x27832)
% 192.07/191.94 [2784]P14(x27842,x27843)+~E(x27841,x27842)+~P14(x27841,x27843)
% 192.07/191.94 [2785]P14(x27853,x27852)+~E(x27851,x27852)+~P14(x27853,x27851)
% 192.07/191.94 [2786]~P65(x27861)+P65(x27862)+~E(x27861,x27862)
% 192.07/191.94 [2787]~P108(x27871)+P108(x27872)+~E(x27871,x27872)
% 192.07/191.94 [2788]~P104(x27881)+P104(x27882)+~E(x27881,x27882)
% 192.07/191.94 [2789]P37(x27892,x27893)+~E(x27891,x27892)+~P37(x27891,x27893)
% 192.07/191.94 [2790]P37(x27903,x27902)+~E(x27901,x27902)+~P37(x27903,x27901)
% 192.07/191.94 [2791]~P66(x27911)+P66(x27912)+~E(x27911,x27912)
% 192.07/191.94 [2792]~P75(x27921)+P75(x27922)+~E(x27921,x27922)
% 192.07/191.94 [2793]~P107(x27931)+P107(x27932)+~E(x27931,x27932)
% 192.07/191.94 [2794]~P77(x27941)+P77(x27942)+~E(x27941,x27942)
% 192.07/191.94 [2795]~P117(x27951)+P117(x27952)+~E(x27951,x27952)
% 192.07/191.94 [2796]P20(x27962,x27963,x27964,x27965)+~E(x27961,x27962)+~P20(x27961,x27963,x27964,x27965)
% 192.07/191.94 [2797]P20(x27973,x27972,x27974,x27975)+~E(x27971,x27972)+~P20(x27973,x27971,x27974,x27975)
% 192.07/191.94 [2798]P20(x27983,x27984,x27982,x27985)+~E(x27981,x27982)+~P20(x27983,x27984,x27981,x27985)
% 192.07/191.94 [2799]P20(x27993,x27994,x27995,x27992)+~E(x27991,x27992)+~P20(x27993,x27994,x27995,x27991)
% 192.07/191.94 [2800]~P62(x28001)+P62(x28002)+~E(x28001,x28002)
% 192.07/191.94 [2801]~P4(x28011)+P4(x28012)+~E(x28011,x28012)
% 192.07/191.94 [2802]~P79(x28021)+P79(x28022)+~E(x28021,x28022)
% 192.07/191.94 [2803]~P109(x28031)+P109(x28032)+~E(x28031,x28032)
% 192.07/191.94 [2804]~P93(x28041)+P93(x28042)+~E(x28041,x28042)
% 192.07/191.94 [2805]P30(x28052,x28053,x28054)+~E(x28051,x28052)+~P30(x28051,x28053,x28054)
% 192.07/191.94 [2806]P30(x28063,x28062,x28064)+~E(x28061,x28062)+~P30(x28063,x28061,x28064)
% 192.07/191.94 [2807]P30(x28073,x28074,x28072)+~E(x28071,x28072)+~P30(x28073,x28074,x28071)
% 192.07/191.94 [2808]~P61(x28081)+P61(x28082)+~E(x28081,x28082)
% 192.07/191.94 [2809]~P67(x28091)+P67(x28092)+~E(x28091,x28092)
% 192.07/191.94 [2810]~P94(x28101)+P94(x28102)+~E(x28101,x28102)
% 192.07/191.94 [2811]~P63(x28111)+P63(x28112)+~E(x28111,x28112)
% 192.07/191.94 [2812]P35(x28122,x28123,x28124)+~E(x28121,x28122)+~P35(x28121,x28123,x28124)
% 192.07/191.94 [2813]P35(x28133,x28132,x28134)+~E(x28131,x28132)+~P35(x28133,x28131,x28134)
% 192.07/191.94 [2814]P35(x28143,x28144,x28142)+~E(x28141,x28142)+~P35(x28143,x28144,x28141)
% 192.07/191.94 [2815]P149(x28152,x28153)+~E(x28151,x28152)+~P149(x28151,x28153)
% 192.07/191.94 [2816]P149(x28163,x28162)+~E(x28161,x28162)+~P149(x28163,x28161)
% 192.07/191.94 [2817]~P68(x28171)+P68(x28172)+~E(x28171,x28172)
% 192.07/191.94 [2818]~P69(x28181)+P69(x28182)+~E(x28181,x28182)
% 192.07/191.94 [2819]P25(x28192,x28193,x28194,x28195)+~E(x28191,x28192)+~P25(x28191,x28193,x28194,x28195)
% 192.07/191.94 [2820]P25(x28203,x28202,x28204,x28205)+~E(x28201,x28202)+~P25(x28203,x28201,x28204,x28205)
% 192.07/191.94 [2821]P25(x28213,x28214,x28212,x28215)+~E(x28211,x28212)+~P25(x28213,x28214,x28211,x28215)
% 192.07/191.94 [2822]P25(x28223,x28224,x28225,x28222)+~E(x28221,x28222)+~P25(x28223,x28224,x28225,x28221)
% 192.07/191.94 [2823]P52(x28232,x28233,x28234)+~E(x28231,x28232)+~P52(x28231,x28233,x28234)
% 192.07/191.94 [2824]P52(x28243,x28242,x28244)+~E(x28241,x28242)+~P52(x28243,x28241,x28244)
% 192.07/191.94 [2825]P52(x28253,x28254,x28252)+~E(x28251,x28252)+~P52(x28253,x28254,x28251)
% 192.07/191.94 [2826]~P80(x28261)+P80(x28262)+~E(x28261,x28262)
% 192.07/191.94 [2827]P147(x28272,x28273,x28274)+~E(x28271,x28272)+~P147(x28271,x28273,x28274)
% 192.07/191.94 [2828]P147(x28283,x28282,x28284)+~E(x28281,x28282)+~P147(x28283,x28281,x28284)
% 192.07/191.94 [2829]P147(x28293,x28294,x28292)+~E(x28291,x28292)+~P147(x28293,x28294,x28291)
% 192.07/191.94 [2830]~P118(x28301)+P118(x28302)+~E(x28301,x28302)
% 192.07/191.94 [2831]~P71(x28311)+P71(x28312)+~E(x28311,x28312)
% 192.07/191.94 [2832]P38(x28322,x28323)+~E(x28321,x28322)+~P38(x28321,x28323)
% 192.07/191.94 [2833]P38(x28333,x28332)+~E(x28331,x28332)+~P38(x28333,x28331)
% 192.07/191.94 [2834]P28(x28342,x28343)+~E(x28341,x28342)+~P28(x28341,x28343)
% 192.07/191.94 [2835]P28(x28353,x28352)+~E(x28351,x28352)+~P28(x28353,x28351)
% 192.07/191.94 [2836]~P81(x28361)+P81(x28362)+~E(x28361,x28362)
% 192.07/191.94 [2837]P51(x28372,x28373)+~E(x28371,x28372)+~P51(x28371,x28373)
% 192.07/191.94 [2838]P51(x28383,x28382)+~E(x28381,x28382)+~P51(x28383,x28381)
% 192.07/191.94 [2839]~P131(x28391)+P131(x28392)+~E(x28391,x28392)
% 192.07/191.94 [2840]~P110(x28401)+P110(x28402)+~E(x28401,x28402)
% 192.07/191.94 [2841]P59(x28412,x28413)+~E(x28411,x28412)+~P59(x28411,x28413)
% 192.07/191.94 [2842]P59(x28423,x28422)+~E(x28421,x28422)+~P59(x28423,x28421)
% 192.07/191.94 [2843]~P126(x28431)+P126(x28432)+~E(x28431,x28432)
% 192.07/191.94 [2844]~P72(x28441)+P72(x28442)+~E(x28441,x28442)
% 192.07/191.94 [2845]P54(x28452,x28453,x28454)+~E(x28451,x28452)+~P54(x28451,x28453,x28454)
% 192.07/191.94 [2846]P54(x28463,x28462,x28464)+~E(x28461,x28462)+~P54(x28463,x28461,x28464)
% 192.07/191.94 [2847]P54(x28473,x28474,x28472)+~E(x28471,x28472)+~P54(x28473,x28474,x28471)
% 192.07/191.94 [2848]~P85(x28481)+P85(x28482)+~E(x28481,x28482)
% 192.07/191.94 [2849]~P73(x28491)+P73(x28492)+~E(x28491,x28492)
% 192.07/191.94 [2850]P33(x28502,x28503,x28504)+~E(x28501,x28502)+~P33(x28501,x28503,x28504)
% 192.07/191.94 [2851]P33(x28513,x28512,x28514)+~E(x28511,x28512)+~P33(x28513,x28511,x28514)
% 192.07/191.94 [2852]P33(x28523,x28524,x28522)+~E(x28521,x28522)+~P33(x28523,x28524,x28521)
% 192.07/191.94 [2853]P26(x28532,x28533,x28534,x28535,x28536)+~E(x28531,x28532)+~P26(x28531,x28533,x28534,x28535,x28536)
% 192.07/191.94 [2854]P26(x28543,x28542,x28544,x28545,x28546)+~E(x28541,x28542)+~P26(x28543,x28541,x28544,x28545,x28546)
% 192.07/191.94 [2855]P26(x28553,x28554,x28552,x28555,x28556)+~E(x28551,x28552)+~P26(x28553,x28554,x28551,x28555,x28556)
% 192.07/191.94 [2856]P26(x28563,x28564,x28565,x28562,x28566)+~E(x28561,x28562)+~P26(x28563,x28564,x28565,x28561,x28566)
% 192.07/191.94 [2857]P26(x28573,x28574,x28575,x28576,x28572)+~E(x28571,x28572)+~P26(x28573,x28574,x28575,x28576,x28571)
% 192.07/191.94 [2858]~P70(x28581)+P70(x28582)+~E(x28581,x28582)
% 192.07/191.94 [2859]~P84(x28591)+P84(x28592)+~E(x28591,x28592)
% 192.07/191.94 [2860]P27(x28602,x28603)+~E(x28601,x28602)+~P27(x28601,x28603)
% 192.07/191.94 [2861]P27(x28613,x28612)+~E(x28611,x28612)+~P27(x28613,x28611)
% 192.07/191.94 [2862]~P111(x28621)+P111(x28622)+~E(x28621,x28622)
% 192.07/191.94 [2863]~P101(x28631)+P101(x28632)+~E(x28631,x28632)
% 192.07/191.94 [2864]~P40(x28641)+P40(x28642)+~E(x28641,x28642)
% 192.07/191.94 [2865]~P127(x28651)+P127(x28652)+~E(x28651,x28652)
% 192.07/191.94 [2866]~P129(x28661)+P129(x28662)+~E(x28661,x28662)
% 192.07/191.94 [2867]~P128(x28671)+P128(x28672)+~E(x28671,x28672)
% 192.07/191.94 [2868]~P83(x28681)+P83(x28682)+~E(x28681,x28682)
% 192.07/191.94 [2869]P19(x28692,x28693,x28694)+~E(x28691,x28692)+~P19(x28691,x28693,x28694)
% 192.07/191.94 [2870]P19(x28703,x28702,x28704)+~E(x28701,x28702)+~P19(x28703,x28701,x28704)
% 192.07/191.94 [2871]P19(x28713,x28714,x28712)+~E(x28711,x28712)+~P19(x28713,x28714,x28711)
% 192.07/191.94 [2872]P55(x28722,x28723,x28724)+~E(x28721,x28722)+~P55(x28721,x28723,x28724)
% 192.07/191.94 [2873]P55(x28733,x28732,x28734)+~E(x28731,x28732)+~P55(x28733,x28731,x28734)
% 192.07/191.94 [2874]P55(x28743,x28744,x28742)+~E(x28741,x28742)+~P55(x28743,x28744,x28741)
% 192.07/191.94 [2875]P148(x28752,x28753,x28754)+~E(x28751,x28752)+~P148(x28751,x28753,x28754)
% 192.07/191.94 [2876]P148(x28763,x28762,x28764)+~E(x28761,x28762)+~P148(x28763,x28761,x28764)
% 192.07/191.94 [2877]P148(x28773,x28774,x28772)+~E(x28771,x28772)+~P148(x28773,x28774,x28771)
% 192.07/191.94 [2878]~P102(x28781)+P102(x28782)+~E(x28781,x28782)
% 192.07/191.94 [2879]~P6(x28791)+P6(x28792)+~E(x28791,x28792)
% 192.07/191.94 [2880]~P86(x28801)+P86(x28802)+~E(x28801,x28802)
% 192.07/191.94 [2881]P56(x28812,x28813,x28814,x28815,x28816)+~E(x28811,x28812)+~P56(x28811,x28813,x28814,x28815,x28816)
% 192.07/191.94 [2882]P56(x28823,x28822,x28824,x28825,x28826)+~E(x28821,x28822)+~P56(x28823,x28821,x28824,x28825,x28826)
% 192.07/191.94 [2883]P56(x28833,x28834,x28832,x28835,x28836)+~E(x28831,x28832)+~P56(x28833,x28834,x28831,x28835,x28836)
% 192.07/191.94 [2884]P56(x28843,x28844,x28845,x28842,x28846)+~E(x28841,x28842)+~P56(x28843,x28844,x28845,x28841,x28846)
% 192.07/191.94 [2885]P56(x28853,x28854,x28855,x28856,x28852)+~E(x28851,x28852)+~P56(x28853,x28854,x28855,x28856,x28851)
% 192.07/191.94 [2886]~P97(x28861)+P97(x28862)+~E(x28861,x28862)
% 192.07/191.94 [2887]~P76(x28871)+P76(x28872)+~E(x28871,x28872)
% 192.07/191.94 [2888]~P64(x28881)+P64(x28882)+~E(x28881,x28882)
% 192.07/191.94 [2889]P39(x28892,x28893)+~E(x28891,x28892)+~P39(x28891,x28893)
% 192.07/191.94 [2890]P39(x28903,x28902)+~E(x28901,x28902)+~P39(x28903,x28901)
% 192.07/191.94 [2891]P9(x28912,x28913,x28914)+~E(x28911,x28912)+~P9(x28911,x28913,x28914)
% 192.07/191.94 [2892]P9(x28923,x28922,x28924)+~E(x28921,x28922)+~P9(x28923,x28921,x28924)
% 192.07/191.94 [2893]P9(x28933,x28934,x28932)+~E(x28931,x28932)+~P9(x28933,x28934,x28931)
% 192.07/191.94 [2894]P50(x28942,x28943)+~E(x28941,x28942)+~P50(x28941,x28943)
% 192.07/191.94 [2895]P50(x28953,x28952)+~E(x28951,x28952)+~P50(x28953,x28951)
% 192.07/191.94 [2896]P58(x28962,x28963,x28964,x28965)+~E(x28961,x28962)+~P58(x28961,x28963,x28964,x28965)
% 192.07/191.94 [2897]P58(x28973,x28972,x28974,x28975)+~E(x28971,x28972)+~P58(x28973,x28971,x28974,x28975)
% 192.07/191.94 [2898]P58(x28983,x28984,x28982,x28985)+~E(x28981,x28982)+~P58(x28983,x28984,x28981,x28985)
% 192.07/191.94 [2899]P58(x28993,x28994,x28995,x28992)+~E(x28991,x28992)+~P58(x28993,x28994,x28995,x28991)
% 192.07/191.94 [2900]P31(x29002,x29003,x29004)+~E(x29001,x29002)+~P31(x29001,x29003,x29004)
% 192.07/191.94 [2901]P31(x29013,x29012,x29014)+~E(x29011,x29012)+~P31(x29013,x29011,x29014)
% 192.07/191.94 [2902]P31(x29023,x29024,x29022)+~E(x29021,x29022)+~P31(x29023,x29024,x29021)
% 192.07/191.94 [2903]~P143(x29031)+P143(x29032)+~E(x29031,x29032)
% 192.07/191.94 [2904]~P7(x29041)+P7(x29042)+~E(x29041,x29042)
% 192.07/191.94 [2905]~P130(x29051)+P130(x29052)+~E(x29051,x29052)
% 192.07/191.94 [2906]~P87(x29061)+P87(x29062)+~E(x29061,x29062)
% 192.07/191.94 [2907]~P96(x29071)+P96(x29072)+~E(x29071,x29072)
% 192.07/191.94 [2908]~P136(x29081)+P136(x29082)+~E(x29081,x29082)
% 192.07/191.94 [2909]~P112(x29091)+P112(x29092)+~E(x29091,x29092)
% 192.07/191.94 [2910]~P141(x29101)+P141(x29102)+~E(x29101,x29102)
% 192.07/191.94 [2911]P8(x29112,x29113)+~E(x29111,x29112)+~P8(x29111,x29113)
% 192.07/191.94 [2912]P8(x29123,x29122)+~E(x29121,x29122)+~P8(x29123,x29121)
% 192.07/191.94 [2913]~P82(x29131)+P82(x29132)+~E(x29131,x29132)
% 192.07/191.94 [2914]P46(x29142,x29143)+~E(x29141,x29142)+~P46(x29141,x29143)
% 192.07/191.94 [2915]P46(x29153,x29152)+~E(x29151,x29152)+~P46(x29153,x29151)
% 192.07/191.94 [2916]~P133(x29161)+P133(x29162)+~E(x29161,x29162)
% 192.07/191.94 [2917]~P145(x29171)+P145(x29172)+~E(x29171,x29172)
% 192.07/191.94 [2918]~P115(x29181)+P115(x29182)+~E(x29181,x29182)
% 192.07/191.94 [2919]P44(x29192,x29193)+~E(x29191,x29192)+~P44(x29191,x29193)
% 192.07/191.94 [2920]P44(x29203,x29202)+~E(x29201,x29202)+~P44(x29203,x29201)
% 192.07/191.94 [2921]~P121(x29211)+P121(x29212)+~E(x29211,x29212)
% 192.07/191.94 [2922]~P140(x29221)+P140(x29222)+~E(x29221,x29222)
% 192.07/191.94 [2923]~P135(x29231)+P135(x29232)+~E(x29231,x29232)
% 192.07/191.94 [2924]P13(x29242,x29243,x29244,x29245,x29246,x29247)+~E(x29241,x29242)+~P13(x29241,x29243,x29244,x29245,x29246,x29247)
% 192.07/191.94 [2925]P13(x29253,x29252,x29254,x29255,x29256,x29257)+~E(x29251,x29252)+~P13(x29253,x29251,x29254,x29255,x29256,x29257)
% 192.07/191.94 [2926]P13(x29263,x29264,x29262,x29265,x29266,x29267)+~E(x29261,x29262)+~P13(x29263,x29264,x29261,x29265,x29266,x29267)
% 192.07/191.94 [2927]P13(x29273,x29274,x29275,x29272,x29276,x29277)+~E(x29271,x29272)+~P13(x29273,x29274,x29275,x29271,x29276,x29277)
% 192.07/191.94 [2928]P13(x29283,x29284,x29285,x29286,x29282,x29287)+~E(x29281,x29282)+~P13(x29283,x29284,x29285,x29286,x29281,x29287)
% 192.07/191.94 [2929]P13(x29293,x29294,x29295,x29296,x29297,x29292)+~E(x29291,x29292)+~P13(x29293,x29294,x29295,x29296,x29297,x29291)
% 192.07/191.94 [2930]~P123(x29301)+P123(x29302)+~E(x29301,x29302)
% 192.07/191.94 [2931]~P144(x29311)+P144(x29312)+~E(x29311,x29312)
% 192.07/191.94 [2932]P16(x29322,x29323)+~E(x29321,x29322)+~P16(x29321,x29323)
% 192.07/191.94 [2933]P16(x29333,x29332)+~E(x29331,x29332)+~P16(x29333,x29331)
% 192.07/191.94 [2934]~P100(x29341)+P100(x29342)+~E(x29341,x29342)
% 192.07/191.94 [2935]~P88(x29351)+P88(x29352)+~E(x29351,x29352)
% 192.07/191.94 [2936]P57(x29362,x29363)+~E(x29361,x29362)+~P57(x29361,x29363)
% 192.07/191.94 [2937]P57(x29373,x29372)+~E(x29371,x29372)+~P57(x29373,x29371)
% 192.07/191.94 [2938]~P120(x29381)+P120(x29382)+~E(x29381,x29382)
% 192.07/191.94 [2939]~P125(x29391)+P125(x29392)+~E(x29391,x29392)
% 192.07/191.94 [2940]P34(x29402,x29403,x29404,x29405,x29406)+~E(x29401,x29402)+~P34(x29401,x29403,x29404,x29405,x29406)
% 192.07/191.94 [2941]P34(x29413,x29412,x29414,x29415,x29416)+~E(x29411,x29412)+~P34(x29413,x29411,x29414,x29415,x29416)
% 192.07/191.94 [2942]P34(x29423,x29424,x29422,x29425,x29426)+~E(x29421,x29422)+~P34(x29423,x29424,x29421,x29425,x29426)
% 192.07/191.94 [2943]P34(x29433,x29434,x29435,x29432,x29436)+~E(x29431,x29432)+~P34(x29433,x29434,x29435,x29431,x29436)
% 192.07/191.94 [2944]P34(x29443,x29444,x29445,x29446,x29442)+~E(x29441,x29442)+~P34(x29443,x29444,x29445,x29446,x29441)
% 192.07/191.94 [2945]P18(x29452,x29453,x29454)+~E(x29451,x29452)+~P18(x29451,x29453,x29454)
% 192.07/191.94 [2946]P18(x29463,x29462,x29464)+~E(x29461,x29462)+~P18(x29463,x29461,x29464)
% 192.07/191.94 [2947]P18(x29473,x29474,x29472)+~E(x29471,x29472)+~P18(x29473,x29474,x29471)
% 192.07/191.94 [2948]~P122(x29481)+P122(x29482)+~E(x29481,x29482)
% 192.07/191.94 [2949]~P134(x29491)+P134(x29492)+~E(x29491,x29492)
% 192.07/191.94 [2950]~P138(x29501)+P138(x29502)+~E(x29501,x29502)
% 192.07/191.94 [2951]P11(x29512,x29513,x29514,x29515,x29516)+~E(x29511,x29512)+~P11(x29511,x29513,x29514,x29515,x29516)
% 192.07/191.94 [2952]P11(x29523,x29522,x29524,x29525,x29526)+~E(x29521,x29522)+~P11(x29523,x29521,x29524,x29525,x29526)
% 192.07/191.94 [2953]P11(x29533,x29534,x29532,x29535,x29536)+~E(x29531,x29532)+~P11(x29533,x29534,x29531,x29535,x29536)
% 192.07/191.94 [2954]P11(x29543,x29544,x29545,x29542,x29546)+~E(x29541,x29542)+~P11(x29543,x29544,x29545,x29541,x29546)
% 192.07/191.94 [2955]P11(x29553,x29554,x29555,x29556,x29552)+~E(x29551,x29552)+~P11(x29553,x29554,x29555,x29556,x29551)
% 192.07/191.94 [2956]~P5(x29561)+P5(x29562)+~E(x29561,x29562)
% 192.07/191.94 [2957]~P137(x29571)+P137(x29572)+~E(x29571,x29572)
% 192.07/191.94 [2958]~P92(x29581)+P92(x29582)+~E(x29581,x29582)
% 192.07/191.94 [2959]~P113(x29591)+P113(x29592)+~E(x29591,x29592)
% 192.07/191.94 [2960]~P119(x29601)+P119(x29602)+~E(x29601,x29602)
% 192.07/191.94 [2961]~P36(x29611)+P36(x29612)+~E(x29611,x29612)
% 192.07/191.94 [2962]P22(x29622,x29623,x29624,x29625,x29626)+~E(x29621,x29622)+~P22(x29621,x29623,x29624,x29625,x29626)
% 192.07/191.94 [2963]P22(x29633,x29632,x29634,x29635,x29636)+~E(x29631,x29632)+~P22(x29633,x29631,x29634,x29635,x29636)
% 192.07/191.94 [2964]P22(x29643,x29644,x29642,x29645,x29646)+~E(x29641,x29642)+~P22(x29643,x29644,x29641,x29645,x29646)
% 192.07/191.94 [2965]P22(x29653,x29654,x29655,x29652,x29656)+~E(x29651,x29652)+~P22(x29653,x29654,x29655,x29651,x29656)
% 192.07/191.94 [2966]P22(x29663,x29664,x29665,x29666,x29662)+~E(x29661,x29662)+~P22(x29663,x29664,x29665,x29666,x29661)
% 192.07/191.94 [2967]~P60(x29671)+P60(x29672)+~E(x29671,x29672)
% 192.07/191.94 [2968]P32(x29682,x29683,x29684,x29685)+~E(x29681,x29682)+~P32(x29681,x29683,x29684,x29685)
% 192.07/191.94 [2969]P32(x29693,x29692,x29694,x29695)+~E(x29691,x29692)+~P32(x29693,x29691,x29694,x29695)
% 192.07/191.94 [2970]P32(x29703,x29704,x29702,x29705)+~E(x29701,x29702)+~P32(x29703,x29704,x29701,x29705)
% 192.07/191.94 [2971]P32(x29713,x29714,x29715,x29712)+~E(x29711,x29712)+~P32(x29713,x29714,x29715,x29711)
% 192.07/191.94 [2972]P12(x29722,x29723,x29724,x29725)+~E(x29721,x29722)+~P12(x29721,x29723,x29724,x29725)
% 192.07/191.94 [2973]P12(x29733,x29732,x29734,x29735)+~E(x29731,x29732)+~P12(x29733,x29731,x29734,x29735)
% 192.07/191.94 [2974]P12(x29743,x29744,x29742,x29745)+~E(x29741,x29742)+~P12(x29743,x29744,x29741,x29745)
% 192.07/191.94 [2975]P12(x29753,x29754,x29755,x29752)+~E(x29751,x29752)+~P12(x29753,x29754,x29755,x29751)
% 192.07/191.94 [2976]~P103(x29761)+P103(x29762)+~E(x29761,x29762)
% 192.07/191.94 [2977]P47(x29772,x29773,x29774)+~E(x29771,x29772)+~P47(x29771,x29773,x29774)
% 192.07/191.94 [2978]P47(x29783,x29782,x29784)+~E(x29781,x29782)+~P47(x29783,x29781,x29784)
% 192.07/191.94 [2979]P47(x29793,x29794,x29792)+~E(x29791,x29792)+~P47(x29793,x29794,x29791)
% 192.07/191.94 [2980]~P146(x29801)+P146(x29802)+~E(x29801,x29802)
% 192.07/191.94 [2981]~P132(x29811)+P132(x29812)+~E(x29811,x29812)
% 192.07/191.94 [2982]P49(x29822,x29823)+~E(x29821,x29822)+~P49(x29821,x29823)
% 192.07/191.94 [2983]P49(x29833,x29832)+~E(x29831,x29832)+~P49(x29833,x29831)
% 192.07/191.94 [2984]P53(x29842,x29843)+~E(x29841,x29842)+~P53(x29841,x29843)
% 192.07/191.94 [2985]P53(x29853,x29852)+~E(x29851,x29852)+~P53(x29853,x29851)
% 192.07/191.94 [2986]P21(x29862,x29863,x29864,x29865)+~E(x29861,x29862)+~P21(x29861,x29863,x29864,x29865)
% 192.07/191.94 [2987]P21(x29873,x29872,x29874,x29875)+~E(x29871,x29872)+~P21(x29873,x29871,x29874,x29875)
% 192.07/191.94 [2988]P21(x29883,x29884,x29882,x29885)+~E(x29881,x29882)+~P21(x29883,x29884,x29881,x29885)
% 192.07/191.94 [2989]P21(x29893,x29894,x29895,x29892)+~E(x29891,x29892)+~P21(x29893,x29894,x29895,x29891)
% 192.07/191.94 [2990]P42(x29902,x29903,x29904,x29905,x29906,x29907)+~E(x29901,x29902)+~P42(x29901,x29903,x29904,x29905,x29906,x29907)
% 192.07/191.94 [2991]P42(x29913,x29912,x29914,x29915,x29916,x29917)+~E(x29911,x29912)+~P42(x29913,x29911,x29914,x29915,x29916,x29917)
% 192.07/191.94 [2992]P42(x29923,x29924,x29922,x29925,x29926,x29927)+~E(x29921,x29922)+~P42(x29923,x29924,x29921,x29925,x29926,x29927)
% 192.07/191.94 [2993]P42(x29933,x29934,x29935,x29932,x29936,x29937)+~E(x29931,x29932)+~P42(x29933,x29934,x29935,x29931,x29936,x29937)
% 192.07/191.94 [2994]P42(x29943,x29944,x29945,x29946,x29942,x29947)+~E(x29941,x29942)+~P42(x29943,x29944,x29945,x29946,x29941,x29947)
% 192.07/191.94 [2995]P42(x29953,x29954,x29955,x29956,x29957,x29952)+~E(x29951,x29952)+~P42(x29953,x29954,x29955,x29956,x29957,x29951)
% 192.07/191.94 [2996]P15(x29962,x29963,x29964)+~E(x29961,x29962)+~P15(x29961,x29963,x29964)
% 192.07/191.94 [2997]P15(x29973,x29972,x29974)+~E(x29971,x29972)+~P15(x29973,x29971,x29974)
% 192.07/191.94 [2998]P15(x29983,x29984,x29982)+~E(x29981,x29982)+~P15(x29983,x29984,x29981)
% 192.07/191.94 [2999]~P105(x29991)+P105(x29992)+~E(x29991,x29992)
% 192.07/191.94 [3000]~P95(x30001)+P95(x30002)+~E(x30001,x30002)
% 192.07/191.94 [3001]~P98(x30011)+P98(x30012)+~E(x30011,x30012)
% 192.07/191.94 [3002]~P142(x30021)+P142(x30022)+~E(x30021,x30022)
% 192.07/191.94 [3003]~P89(x30031)+P89(x30032)+~E(x30031,x30032)
% 192.07/191.94 [3004]P48(x30042,x30043,x30044)+~E(x30041,x30042)+~P48(x30041,x30043,x30044)
% 192.07/191.94 [3005]P48(x30053,x30052,x30054)+~E(x30051,x30052)+~P48(x30053,x30051,x30054)
% 192.07/191.94 [3006]P48(x30063,x30064,x30062)+~E(x30061,x30062)+~P48(x30063,x30064,x30061)
% 192.07/191.94 [3007]P17(x30072,x30073,x30074)+~E(x30071,x30072)+~P17(x30071,x30073,x30074)
% 192.07/191.94 [3008]P17(x30083,x30082,x30084)+~E(x30081,x30082)+~P17(x30083,x30081,x30084)
% 192.07/191.94 [3009]P17(x30093,x30094,x30092)+~E(x30091,x30092)+~P17(x30093,x30094,x30091)
% 192.07/191.94 [3010]P23(x30102,x30103,x30104,x30105,x30106,x30107)+~E(x30101,x30102)+~P23(x30101,x30103,x30104,x30105,x30106,x30107)
% 192.07/191.94 [3011]P23(x30113,x30112,x30114,x30115,x30116,x30117)+~E(x30111,x30112)+~P23(x30113,x30111,x30114,x30115,x30116,x30117)
% 192.07/191.94 [3012]P23(x30123,x30124,x30122,x30125,x30126,x30127)+~E(x30121,x30122)+~P23(x30123,x30124,x30121,x30125,x30126,x30127)
% 192.07/191.94 [3013]P23(x30133,x30134,x30135,x30132,x30136,x30137)+~E(x30131,x30132)+~P23(x30133,x30134,x30135,x30131,x30136,x30137)
% 192.07/191.94 [3014]P23(x30143,x30144,x30145,x30146,x30142,x30147)+~E(x30141,x30142)+~P23(x30143,x30144,x30145,x30146,x30141,x30147)
% 192.07/191.94 [3015]P23(x30153,x30154,x30155,x30156,x30157,x30152)+~E(x30151,x30152)+~P23(x30153,x30154,x30155,x30156,x30157,x30151)
% 192.07/191.94 [3016]P43(x30162,x30163)+~E(x30161,x30162)+~P43(x30161,x30163)
% 192.07/191.94 [3017]P43(x30173,x30172)+~E(x30171,x30172)+~P43(x30173,x30171)
% 192.07/191.94 [3018]P29(x30182,x30183,x30184)+~E(x30181,x30182)+~P29(x30181,x30183,x30184)
% 192.07/191.94 [3019]P29(x30193,x30192,x30194)+~E(x30191,x30192)+~P29(x30193,x30191,x30194)
% 192.07/191.94 [3020]P29(x30203,x30204,x30202)+~E(x30201,x30202)+~P29(x30203,x30204,x30201)
% 192.07/191.94 [3021]~P45(x30211)+P45(x30212)+~E(x30211,x30212)
% 192.07/191.94 [3022]~P90(x30221)+P90(x30222)+~E(x30221,x30222)
% 192.07/191.94 [3023]~P139(x30231)+P139(x30232)+~E(x30231,x30232)
% 192.07/191.94 [3024]~P106(x30241)+P106(x30242)+~E(x30241,x30242)
% 192.07/191.94 [3025]P41(x30252,x30253,x30254,x30255)+~E(x30251,x30252)+~P41(x30251,x30253,x30254,x30255)
% 192.07/191.94 [3026]P41(x30263,x30262,x30264,x30265)+~E(x30261,x30262)+~P41(x30263,x30261,x30264,x30265)
% 192.07/191.94 [3027]P41(x30273,x30274,x30272,x30275)+~E(x30271,x30272)+~P41(x30273,x30274,x30271,x30275)
% 192.07/191.94 [3028]P41(x30283,x30284,x30285,x30282)+~E(x30281,x30282)+~P41(x30283,x30284,x30285,x30281)
% 192.07/191.94 [3029]~P99(x30291)+P99(x30292)+~E(x30291,x30292)
% 192.07/191.94 [3030]~P74(x30301)+P74(x30302)+~E(x30301,x30302)
% 192.07/191.94 [3031]~P124(x30311)+P124(x30312)+~E(x30311,x30312)
% 192.07/191.94 [3032]~P91(x30321)+P91(x30322)+~E(x30321,x30322)
% 192.07/191.94 [3033]P10(x30332,x30333,x30334)+~E(x30331,x30332)+~P10(x30331,x30333,x30334)
% 192.07/191.94 [3034]P10(x30343,x30342,x30344)+~E(x30341,x30342)+~P10(x30343,x30341,x30344)
% 192.07/191.94 [3035]P10(x30353,x30354,x30352)+~E(x30351,x30352)+~P10(x30353,x30354,x30351)
% 192.07/191.94 [3036]~P114(x30361)+P114(x30362)+~E(x30361,x30362)
% 192.07/191.94 [3037]P24(x30372,x30373,x30374,x30375,x30376,x30377)+~E(x30371,x30372)+~P24(x30371,x30373,x30374,x30375,x30376,x30377)
% 192.07/191.94 [3038]P24(x30383,x30382,x30384,x30385,x30386,x30387)+~E(x30381,x30382)+~P24(x30383,x30381,x30384,x30385,x30386,x30387)
% 192.07/191.94 [3039]P24(x30393,x30394,x30392,x30395,x30396,x30397)+~E(x30391,x30392)+~P24(x30393,x30394,x30391,x30395,x30396,x30397)
% 192.07/191.94 [3040]P24(x30403,x30404,x30405,x30402,x30406,x30407)+~E(x30401,x30402)+~P24(x30403,x30404,x30405,x30401,x30406,x30407)
% 192.07/191.94 [3041]P24(x30413,x30414,x30415,x30416,x30412,x30417)+~E(x30411,x30412)+~P24(x30413,x30414,x30415,x30416,x30411,x30417)
% 192.07/191.94 [3042]P24(x30423,x30424,x30425,x30426,x30427,x30422)+~E(x30421,x30422)+~P24(x30423,x30424,x30425,x30426,x30427,x30421)
% 192.07/191.94 [3043]~P116(x30431)+P116(x30432)+~E(x30431,x30432)
% 192.07/191.94 [3044]~P78(x30441)+P78(x30442)+~E(x30441,x30442)
% 192.07/191.94
% 192.07/191.94 %-------------------------------------------
% 192.18/191.99 cnf(10409,plain,
% 192.18/191.99 (~E(f317(a102,x104091),x104091)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(10419,plain,
% 192.18/191.99 (~E(f317(a102,x104191),x104191)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(10432,plain,
% 192.18/191.99 (~E(f317(a102,x104321),x104321)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(10437,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x104371),f103(x104371)),x104372))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10440,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x104401),f103(x104401)),x104402))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10443,plain,
% 192.18/191.99 (~E(f317(a102,x104431),x104431)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(10446,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x104461),f2(a903)))),
% 192.18/191.99 inference(rename_variables,[],[4618])).
% 192.18/191.99 cnf(10449,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x104491),f2(a903)))),
% 192.18/191.99 inference(rename_variables,[],[4618])).
% 192.18/191.99 cnf(10466,plain,
% 192.18/191.99 (~P2(f317(f317(f226(a903),f317(a102,x104661)),x104661))),
% 192.18/191.99 inference(rename_variables,[],[4622])).
% 192.18/191.99 cnf(10469,plain,
% 192.18/191.99 (~E(f317(f317(f141(x104691),x104692),x104693),x104693)),
% 192.18/191.99 inference(rename_variables,[],[4594])).
% 192.18/191.99 cnf(10475,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x104751),f2(a903)))),
% 192.18/191.99 inference(rename_variables,[],[4618])).
% 192.18/191.99 cnf(10478,plain,
% 192.18/191.99 (E(f317(f274(x104781,x104781),f253(x104781,x104782)),x104782)),
% 192.18/191.99 inference(rename_variables,[],[3402])).
% 192.18/191.99 cnf(10481,plain,
% 192.18/191.99 (E(f317(f274(x104811,x104811),f253(x104811,x104812)),x104812)),
% 192.18/191.99 inference(rename_variables,[],[3402])).
% 192.18/191.99 cnf(10486,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x104861),x104861))),
% 192.18/191.99 inference(rename_variables,[],[4614])).
% 192.18/191.99 cnf(10491,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),f317(f317(f74(a903),x104911),x104912)),x104912))),
% 192.18/191.99 inference(rename_variables,[],[4637])).
% 192.18/191.99 cnf(10494,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),f317(f317(f74(a903),x104941),x104942)),x104942))),
% 192.18/191.99 inference(rename_variables,[],[4637])).
% 192.18/191.99 cnf(10515,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x105151),x105151))),
% 192.18/191.99 inference(rename_variables,[],[4614])).
% 192.18/191.99 cnf(10518,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),f41(a903,x105181,x105182)),x105181))),
% 192.18/191.99 inference(rename_variables,[],[3889])).
% 192.18/191.99 cnf(10539,plain,
% 192.18/191.99 (E(f317(f30(a903),f317(f272(a903),x105391)),x105391)),
% 192.18/191.99 inference(rename_variables,[],[3336])).
% 192.18/191.99 cnf(10547,plain,
% 192.18/191.99 (~E(f317(a102,x105471),x105471)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(10550,plain,
% 192.18/191.99 (~E(f317(a102,x105501),x105501)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(10553,plain,
% 192.18/191.99 (~E(f317(a102,x105531),x105531)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(10558,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x105581),f317(a102,x105581)))),
% 192.18/191.99 inference(rename_variables,[],[3507])).
% 192.18/191.99 cnf(10567,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x105671),x105671))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(10574,plain,
% 192.18/191.99 (E(f317(f274(x105741,x105741),f253(x105741,x105742)),x105742)),
% 192.18/191.99 inference(rename_variables,[],[3402])).
% 192.18/191.99 cnf(10577,plain,
% 192.18/191.99 (E(f317(f274(x105771,x105771),f253(x105771,x105772)),x105772)),
% 192.18/191.99 inference(rename_variables,[],[3402])).
% 192.18/191.99 cnf(10594,plain,
% 192.18/191.99 (P2(f317(f317(f226(a1),x105941),x105941))),
% 192.18/191.99 inference(rename_variables,[],[3442])).
% 192.18/191.99 cnf(10599,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x105991),f2(a903)))),
% 192.18/191.99 inference(rename_variables,[],[4618])).
% 192.18/191.99 cnf(10602,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x106021,a898)),x106022),f232(f910(x106021,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3815])).
% 192.18/191.99 cnf(10607,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x106071),f103(x106071)),x106072))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10636,plain,
% 192.18/191.99 (~E(f317(f317(f141(x106361),x106362),x106363),x106363)),
% 192.18/191.99 inference(rename_variables,[],[4594])).
% 192.18/191.99 cnf(10639,plain,
% 192.18/191.99 (~E(f317(a102,x106391),f2(a903))),
% 192.18/191.99 inference(rename_variables,[],[4587])).
% 192.18/191.99 cnf(10650,plain,
% 192.18/191.99 (P2(f317(f317(f226(a1),x106501),x106501))),
% 192.18/191.99 inference(rename_variables,[],[3442])).
% 192.18/191.99 cnf(10655,plain,
% 192.18/191.99 (~E(f317(a102,x106551),x106551)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(10658,plain,
% 192.18/191.99 (~P2(f317(f317(f178(f910(x106581,f910(x106582,a898))),x106583),x106584))),
% 192.18/191.99 inference(rename_variables,[],[4640])).
% 192.18/191.99 cnf(10665,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x106651),x106651))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(10678,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x106781),f317(a102,x106781)))),
% 192.18/191.99 inference(rename_variables,[],[3507])).
% 192.18/191.99 cnf(10699,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x106991,a898)),x106992),f232(f910(x106991,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3815])).
% 192.18/191.99 cnf(10702,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x107021),f103(x107021)),x107022))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10721,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x107211),f103(x107211)),x107212))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10728,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x107281),f103(x107281)),x107282))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10739,plain,
% 192.18/191.99 (~E(f317(a102,x107391),f2(a903))),
% 192.18/191.99 inference(rename_variables,[],[4587])).
% 192.18/191.99 cnf(10744,plain,
% 192.18/191.99 (P2(f317(f317(f319(x107441),x107442),f232(f910(x107441,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3590])).
% 192.18/191.99 cnf(10751,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x107511),f103(x107511)),x107512))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10756,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x107561),f317(a102,x107561)))),
% 192.18/191.99 inference(rename_variables,[],[3507])).
% 192.18/191.99 cnf(10759,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x107591),f103(x107591)),x107592))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10762,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x107621),f103(x107621)),x107622))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10765,plain,
% 192.18/191.99 (~P2(f317(f57(x107651,x107652,f178(f910(x107651,a898))),x107653))),
% 192.18/191.99 inference(rename_variables,[],[4636])).
% 192.18/191.99 cnf(10768,plain,
% 192.18/191.99 (~P2(f317(f57(x107681,x107682,f178(f910(x107681,a898))),x107683))),
% 192.18/191.99 inference(rename_variables,[],[4636])).
% 192.18/191.99 cnf(10771,plain,
% 192.18/191.99 (~P2(f317(f317(f178(f910(x107711,f910(x107712,a898))),x107713),x107714))),
% 192.18/191.99 inference(rename_variables,[],[4640])).
% 192.18/191.99 cnf(10774,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x107741),f2(a903)))),
% 192.18/191.99 inference(rename_variables,[],[4618])).
% 192.18/191.99 cnf(10779,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x107791),f103(x107791)),x107792))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10789,plain,
% 192.18/191.99 (~E(f317(f158(x107891),f317(a102,f317(f317(f124(x107891),f317(f158(x107891),x107892)),f317(f317(f141(x107891),x107893),f103(x107891))))),f317(f317(f141(x107891),x107893),x107892))),
% 192.18/191.99 inference(scs_inference,[],[4581,10409,10419,10432,10443,10547,10550,10553,10655,4587,10639,3238,3402,10478,10481,10574,3277,3339,3273,3301,3284,3903,3372,4594,10469,3336,4206,4642,3357,3797,3507,10558,10678,10756,3425,4618,10446,10449,10475,10599,4629,3871,4014,3469,3471,3444,4615,4589,4621,10437,10440,10607,10702,10721,10728,10751,10759,10762,4156,3815,10602,3441,10567,10665,3442,10594,4614,10486,10515,3590,3532,3950,3889,10518,4622,10466,4247,4619,4606,3418,3422,4608,4607,4636,10765,4639,4640,10658,3912,4637,10491,4653,4679,4734,4738,4762,4777,4784,4786,4822,4827,4856,4862,4948,4975,4976,4991,5045,5046,5069,5070,5084,5088,5113,5119,5135,5139,5140,5141,5146,5147,5170,5195,5197,5198,5208,5213,5219,5255,5256,5264,5272,5276,5278,5292,5295,5301,5306,5307,5320,5326,5329,5330,5334,5362,5377,5386,5388,5389,5393,5394,5395,5405,5407,5414,5415,5416,5422,5426,5427,5428,5437,5441,5442,5448,5461,5469,5482,5484,5492,5494,5495,5498,5502,5529,5543,5544,5559,5571,5593,5599,5623,5624,5627,5646,5654,5655,5660,5661,5671,5673,5686,5690,5699,5700,5702,5703,5719,5724,5733,5734,5745,5752,5766,5770,5773,5779,5780,5781,5784,5789,5825,5826,5829,5831,5833,5835,5836,5837,5839,5841,5843,5848,5855,5870,5884,5890,5891,5903,5914,5915,5922,5926,5928,5933,5941,5979,5994,6003,6006,6016,6020,6021,6022,6023,6024,6029,6034,6044,6050,6068,6072,6081,6110])).
% 192.18/191.99 cnf(10790,plain,
% 192.18/191.99 (~E(f317(a102,x107901),x107901)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(10815,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x108151),x108151))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(10818,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x108181),f317(f317(f75(a903),x108181),x108181)))),
% 192.18/191.99 inference(rename_variables,[],[3697])).
% 192.18/191.99 cnf(10821,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x108211),f317(f317(f75(a903),x108211),x108211)))),
% 192.18/191.99 inference(rename_variables,[],[3697])).
% 192.18/191.99 cnf(10824,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x108241),f317(a102,f317(f317(f74(a903),x108242),x108241))))),
% 192.18/191.99 inference(rename_variables,[],[3882])).
% 192.18/191.99 cnf(10829,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x108291),f317(a102,x108291)))),
% 192.18/191.99 inference(rename_variables,[],[3507])).
% 192.18/191.99 cnf(10832,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x108321),f317(a102,x108321)))),
% 192.18/191.99 inference(rename_variables,[],[3507])).
% 192.18/191.99 cnf(10835,plain,
% 192.18/191.99 (P2(f317(f317(f319(x108351),x108352),f232(f910(x108351,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3590])).
% 192.18/191.99 cnf(10854,plain,
% 192.18/191.99 (~P2(f317(f317(f226(a903),f317(a102,x108541)),x108541))),
% 192.18/191.99 inference(rename_variables,[],[4622])).
% 192.18/191.99 cnf(10857,plain,
% 192.18/191.99 (~P2(f317(f317(f226(a903),f317(a102,x108571)),x108571))),
% 192.18/191.99 inference(rename_variables,[],[4622])).
% 192.18/191.99 cnf(10860,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),f317(f317(f74(a903),x108601),x108602)),x108602))),
% 192.18/191.99 inference(rename_variables,[],[4637])).
% 192.18/191.99 cnf(10863,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),f317(f317(f74(a903),x108631),x108632)),x108632))),
% 192.18/191.99 inference(rename_variables,[],[4637])).
% 192.18/191.99 cnf(10866,plain,
% 192.18/191.99 (P2(f317(f232(f910(x108661,a898)),x108662))),
% 192.18/191.99 inference(rename_variables,[],[3500])).
% 192.18/191.99 cnf(10869,plain,
% 192.18/191.99 (E(f317(f30(a903),f317(f272(a903),x108691)),x108691)),
% 192.18/191.99 inference(rename_variables,[],[3336])).
% 192.18/191.99 cnf(10872,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x108721),f317(a102,x108721)))),
% 192.18/191.99 inference(rename_variables,[],[3507])).
% 192.18/191.99 cnf(10879,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x108791),x108791))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(10884,plain,
% 192.18/191.99 (P2(f317(f317(f226(a1),x108841),x108841))),
% 192.18/191.99 inference(rename_variables,[],[3442])).
% 192.18/191.99 cnf(10887,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x108871,a898)),f317(f162(x108871),f317(f126(x108871,x108872),x108873))),f317(f162(x108871),x108873)))),
% 192.18/191.99 inference(rename_variables,[],[4075])).
% 192.18/191.99 cnf(10896,plain,
% 192.18/191.99 (E(f317(f274(x108961,x108961),f253(x108961,x108962)),x108962)),
% 192.18/191.99 inference(rename_variables,[],[3402])).
% 192.18/191.99 cnf(10899,plain,
% 192.18/191.99 (P2(f317(f232(f910(x108991,a898)),x108992))),
% 192.18/191.99 inference(rename_variables,[],[3500])).
% 192.18/191.99 cnf(10902,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),f2(a903)),x109021))),
% 192.18/191.99 inference(rename_variables,[],[3462])).
% 192.18/191.99 cnf(10905,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x109051,a898)),f178(f910(x109051,a898))),x109052))),
% 192.18/191.99 inference(rename_variables,[],[3881])).
% 192.18/191.99 cnf(10908,plain,
% 192.18/191.99 (P2(f317(f232(f910(x109081,a898)),x109082))),
% 192.18/191.99 inference(rename_variables,[],[3500])).
% 192.18/191.99 cnf(10911,plain,
% 192.18/191.99 (P2(f317(f232(f910(x109111,a898)),x109112))),
% 192.18/191.99 inference(rename_variables,[],[3500])).
% 192.18/191.99 cnf(10914,plain,
% 192.18/191.99 (P2(f317(f232(f910(x109141,a898)),x109142))),
% 192.18/191.99 inference(rename_variables,[],[3500])).
% 192.18/191.99 cnf(10917,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x109171),f317(f317(f75(a903),x109171),x109171)))),
% 192.18/191.99 inference(rename_variables,[],[3697])).
% 192.18/191.99 cnf(10957,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x109571),x109571))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(10968,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x109681),f103(x109681)),x109682))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(10975,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x109751),f317(a102,x109751)))),
% 192.18/191.99 inference(rename_variables,[],[3507])).
% 192.18/191.99 cnf(10978,plain,
% 192.18/191.99 (P2(f317(f317(f226(a1),x109781),x109781))),
% 192.18/191.99 inference(rename_variables,[],[3442])).
% 192.18/191.99 cnf(10983,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x109831),f2(a903)))),
% 192.18/191.99 inference(rename_variables,[],[4618])).
% 192.18/191.99 cnf(10998,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x109981),f2(a903)))),
% 192.18/191.99 inference(rename_variables,[],[4618])).
% 192.18/191.99 cnf(11001,plain,
% 192.18/191.99 (~P2(f317(f317(f227(f910(x110011,a898)),x110012),f178(f910(x110011,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4633])).
% 192.18/191.99 cnf(11004,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x110041),x110041))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(11007,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x110071),x110071))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(11022,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x110221),x110221))),
% 192.18/191.99 inference(rename_variables,[],[4614])).
% 192.18/191.99 cnf(11031,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x110311),x110312),f178(f910(x110311,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11038,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x110381),x110381))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(11041,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x110411,a898)),f317(f300(x110412,x110411,x110413),f317(f301(x110412,x110411,x110413),x110414))),x110414))),
% 192.18/191.99 inference(rename_variables,[],[4302])).
% 192.18/191.99 cnf(11050,plain,
% 192.18/191.99 (E(f317(f300(x110501,x110501,f7(x110501)),x110502),x110502)),
% 192.18/191.99 inference(rename_variables,[],[3496])).
% 192.18/191.99 cnf(11055,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),f2(a903)),x110551))),
% 192.18/191.99 inference(rename_variables,[],[3462])).
% 192.18/191.99 cnf(11058,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x110581),x110581))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(11061,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x110611),x110611))),
% 192.18/191.99 inference(rename_variables,[],[4614])).
% 192.18/191.99 cnf(11070,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x110701),x110701))),
% 192.18/191.99 inference(rename_variables,[],[4614])).
% 192.18/191.99 cnf(11081,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x110811),f317(f317(f75(a903),x110811),x110811)))),
% 192.18/191.99 inference(rename_variables,[],[3697])).
% 192.18/191.99 cnf(11087,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x110871),f317(a102,f317(f317(f74(a903),x110872),x110871))))),
% 192.18/191.99 inference(rename_variables,[],[3882])).
% 192.18/191.99 cnf(11094,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x110941),x110941))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(11097,plain,
% 192.18/191.99 (P2(f317(f317(f226(a1),x110971),x110971))),
% 192.18/191.99 inference(rename_variables,[],[3442])).
% 192.18/191.99 cnf(11100,plain,
% 192.18/191.99 (~E(f317(a102,x111001),x111001)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(11105,plain,
% 192.18/191.99 (P2(f317(f317(f319(x111051),x111052),f232(f910(x111051,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3590])).
% 192.18/191.99 cnf(11110,plain,
% 192.18/191.99 (~P2(f317(f317(f227(a903),x111101),f2(a903)))),
% 192.18/191.99 inference(rename_variables,[],[4618])).
% 192.18/191.99 cnf(11125,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),f2(a903)),x111251))),
% 192.18/191.99 inference(rename_variables,[],[3462])).
% 192.18/191.99 cnf(11132,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x111321),x111321))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(11141,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x111411),x111412),f178(f910(x111411,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11149,plain,
% 192.18/191.99 (P2(f317(f317(f319(x111491),x111492),f232(f910(x111491,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3590])).
% 192.18/191.99 cnf(11152,plain,
% 192.18/191.99 (~P2(f317(f317(f319(f909(f904(x111521),f904(x111521))),f317(f317(f242(f904(x111521),f904(x111521)),x111522),f103(x111521))),f135(x111521,x111523)))),
% 192.18/191.99 inference(rename_variables,[],[4642])).
% 192.18/191.99 cnf(11162,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x111621),x111622),f178(f910(x111621,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11165,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x111651),x111652),f178(f910(x111651,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11168,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x111681,a898)),x111682),f317(f317(f299(x111681),x111683),x111682)))),
% 192.18/191.99 inference(rename_variables,[],[3879])).
% 192.18/191.99 cnf(11171,plain,
% 192.18/191.99 (P2(f317(f317(f226(a903),x111711),x111711))),
% 192.18/191.99 inference(rename_variables,[],[3441])).
% 192.18/191.99 cnf(11174,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x111741,a898)),x111742),f317(f317(f299(x111741),x111743),x111742)))),
% 192.18/191.99 inference(rename_variables,[],[3879])).
% 192.18/191.99 cnf(11177,plain,
% 192.18/191.99 (E(f317(f300(x111771,x111771,f7(x111771)),x111772),x111772)),
% 192.18/191.99 inference(rename_variables,[],[3496])).
% 192.18/191.99 cnf(11192,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x111921,a898)),x111922),f317(f317(f299(x111921),x111923),x111922)))),
% 192.18/191.99 inference(rename_variables,[],[3879])).
% 192.18/191.99 cnf(11203,plain,
% 192.18/191.99 (~E(f317(a102,x112031),f2(a903))),
% 192.18/191.99 inference(rename_variables,[],[4587])).
% 192.18/191.99 cnf(11206,plain,
% 192.18/191.99 (~P2(f317(f317(f162(x112061),f103(x112061)),x112062))),
% 192.18/191.99 inference(rename_variables,[],[4621])).
% 192.18/191.99 cnf(11219,plain,
% 192.18/191.99 (P2(f317(f317(f227(a903),x112191),f317(a102,x112191)))),
% 192.18/191.99 inference(rename_variables,[],[3507])).
% 192.18/191.99 cnf(11229,plain,
% 192.18/191.99 (~E(f317(f300(x112291,f910(x112291,a898),x112292),x112293),f317(f298(x112291),x112293))),
% 192.18/191.99 inference(rename_variables,[],[4623])).
% 192.18/191.99 cnf(11232,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x112321),x112322),f178(f910(x112321,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11235,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x112351),x112352),f178(f910(x112351,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11238,plain,
% 192.18/191.99 (~P2(f317(f317(f319(f909(x112381,x112381)),f317(f317(f242(x112381,x112381),x112382),x112383)),f143(x112381,f103(f910(x112381,a903)))))),
% 192.18/191.99 inference(rename_variables,[],[4641])).
% 192.18/191.99 cnf(11241,plain,
% 192.18/191.99 (~P2(f317(f317(f319(f909(x112411,x112411)),f317(f317(f242(x112411,x112411),x112412),x112413)),f143(x112411,f103(f910(x112411,a903)))))),
% 192.18/191.99 inference(rename_variables,[],[4641])).
% 192.18/191.99 cnf(11246,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x112461),x112462),f178(f910(x112461,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11249,plain,
% 192.18/191.99 (P2(f317(f317(f319(f909(x112491,x112491)),f317(f317(f242(x112491,x112491),x112492),x112492)),f297(x112491,x112493)))),
% 192.18/191.99 inference(rename_variables,[],[4066])).
% 192.18/191.99 cnf(11252,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x112521,a898)),x112522),f232(f910(x112521,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3815])).
% 192.18/191.99 cnf(11255,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x112551,a898)),f317(f162(x112551),f166(x112551,x112552,x112553))),f317(f162(x112551),x112552)))),
% 192.18/191.99 inference(rename_variables,[],[4122])).
% 192.18/191.99 cnf(11271,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x112711,a898)),f178(f910(x112711,a898))),x112712))),
% 192.18/191.99 inference(rename_variables,[],[3881])).
% 192.18/191.99 cnf(11282,plain,
% 192.18/191.99 (~P2(f317(f317(f319(f909(f904(x112821),f904(x112821))),f317(f317(f242(f904(x112821),f904(x112821)),x112822),f103(x112821))),f137(x112821,x112823)))),
% 192.18/191.99 inference(rename_variables,[],[4643])).
% 192.18/191.99 cnf(11293,plain,
% 192.18/191.99 (~E(f317(a102,x112931),x112931)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(11296,plain,
% 192.18/191.99 (~E(f317(a102,x112961),x112961)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(11308,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x113081,a898)),x113082),x113082))),
% 192.18/191.99 inference(rename_variables,[],[3730])).
% 192.18/191.99 cnf(11315,plain,
% 192.18/191.99 (~E(f317(a102,x113151),x113151)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(11318,plain,
% 192.18/191.99 (~E(f317(a102,x113181),x113181)),
% 192.18/191.99 inference(rename_variables,[],[4581])).
% 192.18/191.99 cnf(11323,plain,
% 192.18/191.99 (P25(x113231,x113231,f7(x113231),x113232)),
% 192.18/191.99 inference(rename_variables,[],[3674])).
% 192.18/191.99 cnf(11328,plain,
% 192.18/191.99 (~E(f317(f300(x113281,f910(x113281,a898),x113282),x113283),f317(f298(x113281),x113283))),
% 192.18/191.99 inference(rename_variables,[],[4623])).
% 192.18/191.99 cnf(11333,plain,
% 192.18/191.99 (P2(f317(f317(f226(f910(x113331,a898)),x113332),f232(f910(x113331,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3815])).
% 192.18/191.99 cnf(11349,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x113491),x113492),f178(f910(x113491,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11352,plain,
% 192.18/191.99 (~P2(f317(f317(f226(a903),f317(a102,x113521)),x113521))),
% 192.18/191.99 inference(rename_variables,[],[4622])).
% 192.18/191.99 cnf(11357,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x113571),x113572),f178(f910(x113571,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11368,plain,
% 192.18/191.99 (~P2(f317(f317(f226(a903),f317(a102,x113681)),x113681))),
% 192.18/191.99 inference(rename_variables,[],[4622])).
% 192.18/191.99 cnf(11371,plain,
% 192.18/191.99 (~P2(f317(f317(f319(x113711),x113712),f178(f910(x113711,a898))))),
% 192.18/191.99 inference(rename_variables,[],[4625])).
% 192.18/191.99 cnf(11380,plain,
% 192.18/191.99 (P2(f317(f317(f319(f909(x113801,x113801)),f317(f317(f242(x113801,x113801),x113802),x113802)),f297(x113801,x113803)))),
% 192.18/191.99 inference(rename_variables,[],[4066])).
% 192.18/191.99 cnf(11383,plain,
% 192.18/191.99 (P2(f317(f317(f319(x113831),x113832),f232(f910(x113831,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3590])).
% 192.18/191.99 cnf(11386,plain,
% 192.18/191.99 (P2(f317(f317(f319(x113861),x113862),f232(f910(x113861,a898))))),
% 192.18/191.99 inference(rename_variables,[],[3590])).
% 192.18/191.99 cnf(11393,plain,
% 192.18/191.99 (~P2(f317(f317(f319(f909(f904(x113931),f904(x113931))),f317(f317(f242(f904(x113931),f904(x113931)),x113932),f103(x113931))),f135(x113931,x113933)))),
% 192.18/191.99 inference(rename_variables,[],[4642])).
% 192.18/191.99 cnf(11396,plain,
% 192.18/191.99 (~P2(f317(f317(f319(f909(f904(x113961),f904(x113961))),f317(f317(f242(f904(x113961),f904(x113961)),x113962),f103(x113961))),f137(x113961,x113963)))),
% 192.18/191.99 inference(rename_variables,[],[4643])).
% 192.18/192.00 cnf(11399,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(f904(x113991),f904(x113991))),f317(f317(f242(f904(x113991),f904(x113991)),x113992),f103(x113991))),f147(x113991,x113993)))),
% 192.18/192.00 inference(rename_variables,[],[4644])).
% 192.18/192.00 cnf(11404,plain,
% 192.18/192.00 (~P2(f317(f317(f227(f910(x114041,a898)),x114042),f178(f910(x114041,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4633])).
% 192.18/192.00 cnf(11407,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x114071),x114072),f178(f910(x114071,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11412,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x114121,a898)),x114122),f232(f910(x114121,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(11419,plain,
% 192.18/192.00 (~P2(f317(f317(f162(x114191),f103(x114191)),x114192))),
% 192.18/192.00 inference(rename_variables,[],[4621])).
% 192.18/192.00 cnf(11424,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x114241),x114242),f178(f910(x114241,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11427,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(x114271,x114271)),f317(f317(f242(x114271,x114271),x114272),x114273)),f143(x114271,f103(f910(x114271,a903)))))),
% 192.18/192.00 inference(rename_variables,[],[4641])).
% 192.18/192.00 cnf(11430,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x114301,a898)),x114302),x114302))),
% 192.18/192.00 inference(rename_variables,[],[3730])).
% 192.18/192.00 cnf(11433,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x114331),x114332),f178(f910(x114331,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11436,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x114361,a898)),f178(f910(x114361,a898))),x114362))),
% 192.18/192.00 inference(rename_variables,[],[3881])).
% 192.18/192.00 cnf(11439,plain,
% 192.18/192.00 (P2(f317(f317(f319(f909(x114391,x114391)),f317(f317(f242(x114391,x114391),x114392),x114392)),f297(x114391,x114393)))),
% 192.18/192.00 inference(rename_variables,[],[4066])).
% 192.18/192.00 cnf(11441,plain,
% 192.18/192.00 (~P34(x114411,x114412,x114413,f317(f317(f144(x114414,x114411),x114415),f317(a102,f103(x114414))),f103(x114412))),
% 192.18/192.00 inference(scs_inference,[],[3674,4581,10409,10419,10432,10443,10547,10550,10553,10655,10790,11100,11293,11296,11315,4587,10639,10739,11203,3238,3287,3402,10478,10481,10574,10577,3379,3891,3277,3339,3273,3301,3284,3903,3496,11050,3372,4064,4594,10469,4623,11229,3543,3336,10539,4206,4066,11249,11380,4642,11152,11393,4643,11282,4644,3357,3634,3797,3734,3946,3507,10558,10678,10756,10829,10832,10872,10975,11219,3884,3425,4618,10446,10449,10475,10599,10774,10983,10998,11110,4629,3871,3643,4014,3469,3471,3444,4615,4589,4621,10437,10440,10607,10702,10721,10728,10751,10759,10762,10779,10968,11206,4168,4075,10887,4122,3798,4156,3815,10602,10699,11252,11333,4633,11001,3441,10567,10665,10815,10879,10957,11004,11007,11038,11058,11094,11132,3442,10594,10650,10884,10978,3443,4614,10486,10515,11022,11061,3590,10744,10835,11105,11149,11383,4625,11031,11141,11162,11165,11232,11235,11246,11349,11357,11371,11407,11424,3500,10866,10899,10908,10911,3532,3950,3889,10518,4622,10466,10854,10857,11352,3462,10902,11055,4247,4619,3958,4606,4609,3418,3422,4608,4607,4636,10765,4641,11238,11241,4032,3879,11168,11174,3730,11308,3881,10905,11271,3591,3697,10818,10821,10917,11081,4639,4640,10658,4302,3912,4637,10491,10494,10860,3882,10824,4142,4653,4679,4734,4738,4762,4777,4784,4786,4822,4827,4856,4862,4948,4975,4976,4991,5045,5046,5069,5070,5084,5088,5113,5119,5135,5139,5140,5141,5146,5147,5170,5195,5197,5198,5208,5213,5219,5255,5256,5264,5272,5276,5278,5292,5295,5301,5306,5307,5320,5326,5329,5330,5334,5362,5377,5386,5388,5389,5393,5394,5395,5405,5407,5414,5415,5416,5422,5426,5427,5428,5437,5441,5442,5448,5461,5469,5482,5484,5492,5494,5495,5498,5502,5529,5543,5544,5559,5571,5593,5599,5623,5624,5627,5646,5654,5655,5660,5661,5671,5673,5686,5690,5699,5700,5702,5703,5719,5724,5733,5734,5745,5752,5766,5770,5773,5779,5780,5781,5784,5789,5825,5826,5829,5831,5833,5835,5836,5837,5839,5841,5843,5848,5855,5870,5884,5890,5891,5903,5914,5915,5922,5926,5928,5933,5941,5979,5994,6003,6006,6016,6020,6021,6022,6023,6024,6029,6034,6044,6050,6068,6072,6081,6110,6126,6152,6169,6170,6173,6187,6189,6191,6193,6208,6209,6212,6214,6217,6218,6235,6243,6244,6245,6247,6249,6286,6287,6293,6296,6302,6306,6341,6343,6345,6347,6357,6359,6362,6368,6370,6375,6378,6386,6392,6395,6397,6398,6405,6428,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6497,6532,6533,6542,6563,6564,6589,6591,6603,6604,6610,6640,6642,6657,6697,6700,6701,6757,6780,6824,6839,6847,6856,6857,6858,6859,6879,6880,6887,6899,6902,6904,6906,6907,6908,6910,6924,6935,6936,6937,6950,7005,7017,7019,7042,7043,7079,7086,7122,7152,7208,7237,7294,7315,7322,7325,7385,7395,7458,7460,7474,7483,7484,7485,7502,7506,7508,7555,7565,7568,7582,7629,7632,7635,7679,7680,7698,7768,7786,7810,7834,7846,7860,7871,7882,7883,7910,7912,7914,7924,7962,7973,7998,8025,8058,8089,8122,8161,8177,8179,8195,8196,8263,8274,8339,8364,8383,8410,8449,8450,8467,8507,8509,8511,8518,8534,8538,8553,8574,8582,8584,8594,8599,8603,8604,8605,8606,8607,8608,8627,8642,8643,8661,8663,8667,8668,8669,8670,8671,8689,8690,8691,8701,8714,8717,8728,8733,8735,8737,8738,8739,8746,8752,8760,8763,8780,8781,8790,8791,8799,8818,8831,8835,8856,8878,8879,8882,8883,8889,8898,8899,8922,8933,8943,8944,8945,8948,8971,8972,8983,9032,9042,9044,9060,9072,9073,9074,9085,9149,9180,9181,9182,9197,9214,9222,9250,9251,9320,9355,9361,9371,9372,9373,9382,9413,9429,9433,9437])).
% 192.18/192.00 cnf(11450,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(f904(x114501),f904(x114501))),f317(f317(f242(f904(x114501),f904(x114501)),x114502),f103(x114501))),f147(x114501,x114503)))),
% 192.18/192.00 inference(rename_variables,[],[4644])).
% 192.18/192.00 cnf(11457,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(f904(x114571),f904(x114571))),f317(f317(f242(f904(x114571),f904(x114571)),f103(x114571)),x114572)),f135(x114571,x114573)))),
% 192.18/192.00 inference(rename_variables,[],[4645])).
% 192.18/192.00 cnf(11465,plain,
% 192.18/192.00 (P2(f317(f317(f319(x114651),x114652),f232(f910(x114651,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3590])).
% 192.18/192.00 cnf(11470,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x114701,a898)),f178(f910(x114701,a898))),x114702))),
% 192.18/192.00 inference(rename_variables,[],[3881])).
% 192.18/192.00 cnf(11473,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x114731),x114732),f178(f910(x114731,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11476,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x114761,a898)),x114762),f232(f910(x114761,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(11481,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x114811,a898)),f178(f910(x114811,a898))),x114812))),
% 192.18/192.00 inference(rename_variables,[],[3881])).
% 192.18/192.00 cnf(11494,plain,
% 192.18/192.00 (P2(f317(f232(f910(x114941,a898)),x114942))),
% 192.18/192.00 inference(rename_variables,[],[3500])).
% 192.18/192.00 cnf(11502,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(f904(x115021),f904(x115021))),f317(f317(f242(f904(x115021),f904(x115021)),x115022),f103(x115021))),f135(x115021,x115023)))),
% 192.18/192.00 inference(rename_variables,[],[4642])).
% 192.18/192.00 cnf(11505,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(f904(x115051),f904(x115051))),f317(f317(f242(f904(x115051),f904(x115051)),x115052),f103(x115051))),f137(x115051,x115053)))),
% 192.18/192.00 inference(rename_variables,[],[4643])).
% 192.18/192.00 cnf(11508,plain,
% 192.18/192.00 (~E(f317(f317(f141(x115081),x115082),x115083),x115083)),
% 192.18/192.00 inference(rename_variables,[],[4594])).
% 192.18/192.00 cnf(11511,plain,
% 192.18/192.00 (~E(f317(a102,x115111),x115111)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11514,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115141),x115142),f178(f910(x115141,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11519,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115191),x115192),f178(f910(x115191,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11522,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115221),x115222),f178(f910(x115221,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11525,plain,
% 192.18/192.00 (P2(f317(f317(f319(f909(f904(x115251),f904(x115251))),f317(f317(f242(f904(x115251),f904(x115251)),x115252),x115252)),f148(x115251,f297(x115251,x115253))))),
% 192.18/192.00 inference(rename_variables,[],[4199])).
% 192.18/192.00 cnf(11528,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(f904(x115281),f904(x115281))),f317(f317(f242(f904(x115281),f904(x115281)),x115282),f103(x115281))),f135(x115281,x115283)))),
% 192.18/192.00 inference(rename_variables,[],[4642])).
% 192.18/192.00 cnf(11538,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(x115381,x115381)),f317(f317(f242(x115381,x115381),x115382),x115383)),f143(x115381,f103(f910(x115381,a903)))))),
% 192.18/192.00 inference(rename_variables,[],[4641])).
% 192.18/192.00 cnf(11541,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115411),x115412),f178(f910(x115411,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11544,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115441),x115442),f178(f910(x115441,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11547,plain,
% 192.18/192.00 (P2(f317(f317(f319(x115471),x115472),f232(f910(x115471,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3590])).
% 192.18/192.00 cnf(11550,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x115501),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(11555,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(x115551,x115551)),f317(f317(f242(x115551,x115551),x115552),x115553)),f143(x115551,f103(f910(x115551,a903)))))),
% 192.18/192.00 inference(rename_variables,[],[4641])).
% 192.18/192.00 cnf(11564,plain,
% 192.18/192.00 (~E(f317(f300(x115641,f910(x115641,a898),x115642),x115643),f317(f298(x115641),x115643))),
% 192.18/192.00 inference(rename_variables,[],[4623])).
% 192.18/192.00 cnf(11567,plain,
% 192.18/192.00 (~E(f317(f300(x115671,f910(x115671,a898),x115672),x115673),f317(f298(x115671),x115673))),
% 192.18/192.00 inference(rename_variables,[],[4623])).
% 192.18/192.00 cnf(11572,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(f904(x115721),f904(x115721))),f317(f317(f242(f904(x115721),f904(x115721)),x115722),f103(x115721))),f135(x115721,x115723)))),
% 192.18/192.00 inference(rename_variables,[],[4642])).
% 192.18/192.00 cnf(11578,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(f904(x115781),f904(x115781))),f317(f317(f242(f904(x115781),f904(x115781)),x115782),f103(x115781))),f135(x115781,x115783)))),
% 192.18/192.00 inference(rename_variables,[],[4642])).
% 192.18/192.00 cnf(11581,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115811),x115812),f178(f910(x115811,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11586,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115861),x115862),f178(f910(x115861,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11589,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115891),x115892),f178(f910(x115891,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11592,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115921),x115922),f178(f910(x115921,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11595,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x115951),x115952),f178(f910(x115951,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11598,plain,
% 192.18/192.00 (P2(f317(f317(f319(x115981),f317(x115982,x115983)),f317(f300(x115984,x115981,x115982),f232(f910(x115984,a898)))))),
% 192.18/192.00 inference(rename_variables,[],[4032])).
% 192.18/192.00 cnf(11601,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(x116011,x116011)),f317(f317(f242(x116011,x116011),x116012),x116013)),f143(x116011,f103(f910(x116011,a903)))))),
% 192.18/192.00 inference(rename_variables,[],[4641])).
% 192.18/192.00 cnf(11609,plain,
% 192.18/192.00 (E(f104(x116091,f103(x116091)),f103(x116091))),
% 192.18/192.00 inference(rename_variables,[],[3287])).
% 192.18/192.00 cnf(11612,plain,
% 192.18/192.00 (~E(f317(a102,x116121),x116121)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11619,plain,
% 192.18/192.00 (~E(f317(a102,x116191),x116191)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11624,plain,
% 192.18/192.00 (E(f317(f274(x116241,x116241),f253(x116241,x116242)),x116242)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(11627,plain,
% 192.18/192.00 (E(f317(f274(x116271,x116271),f253(x116271,x116272)),x116272)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(11633,plain,
% 192.18/192.00 (~E(f317(a102,x116331),x116331)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11638,plain,
% 192.18/192.00 (~E(f317(f317(f74(a1),x116381),x116381),a87)),
% 192.18/192.00 inference(rename_variables,[],[4592])).
% 192.18/192.00 cnf(11645,plain,
% 192.18/192.00 (E(f317(f317(f3(a903),f2(a903)),x116451),f2(a903))),
% 192.18/192.00 inference(rename_variables,[],[3358])).
% 192.18/192.00 cnf(11648,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x116481),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(11655,plain,
% 192.18/192.00 (E(f317(f317(f74(a1),f317(f317(f75(a1),x116551),f317(f317(f31(a1),x116552),x116551))),f41(a1,x116552,x116551)),x116552)),
% 192.18/192.00 inference(rename_variables,[],[3982])).
% 192.18/192.00 cnf(11679,plain,
% 192.18/192.00 (~E(f317(a102,x116791),x116791)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11682,plain,
% 192.18/192.00 (~E(f317(a102,x116821),x116821)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11708,plain,
% 192.18/192.00 (~P2(f317(f317(f162(x117081),f103(x117081)),x117082))),
% 192.18/192.00 inference(rename_variables,[],[4621])).
% 192.18/192.00 cnf(11714,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),f2(a903)),f317(a102,x117141)))),
% 192.18/192.00 inference(rename_variables,[],[3519])).
% 192.18/192.00 cnf(11715,plain,
% 192.18/192.00 (~E(f317(a102,x117151),x117151)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11718,plain,
% 192.18/192.00 (P2(f317(f317(f319(x117181),x117182),f232(f910(x117181,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3590])).
% 192.18/192.00 cnf(11730,plain,
% 192.18/192.00 (~E(f317(a102,x117301),x117301)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11733,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x117331),x117331))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(11740,plain,
% 192.18/192.00 (P2(f317(f61(x117401,x117402,x117403,x117404,f178(f910(x117401,a898))),x117404))),
% 192.18/192.00 inference(rename_variables,[],[4341])).
% 192.18/192.00 cnf(11741,plain,
% 192.18/192.00 (E(f317(f274(x117411,x117411),f253(x117411,x117412)),x117412)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(11754,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),f317(f317(f74(a903),x117541),x117542)),x117542))),
% 192.18/192.00 inference(rename_variables,[],[4637])).
% 192.18/192.00 cnf(11757,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a1),f317(f90(a1),x117571)),f2(a1)))),
% 192.18/192.00 inference(rename_variables,[],[4629])).
% 192.18/192.00 cnf(11770,plain,
% 192.18/192.00 (~E(f317(f317(f141(x117701),x117702),x117703),x117703)),
% 192.18/192.00 inference(rename_variables,[],[4594])).
% 192.18/192.00 cnf(11773,plain,
% 192.18/192.00 (~E(f317(f317(f141(x117731),x117732),x117733),x117733)),
% 192.18/192.00 inference(rename_variables,[],[4594])).
% 192.18/192.00 cnf(11784,plain,
% 192.18/192.00 (E(f317(f274(x117841,x117841),f253(x117841,x117842)),x117842)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(11789,plain,
% 192.18/192.00 (E(f317(f274(x117891,x117891),f253(x117891,x117892)),x117892)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(11792,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a1),f317(f90(a1),x117921)),f2(a1)))),
% 192.18/192.00 inference(rename_variables,[],[4629])).
% 192.18/192.00 cnf(11797,plain,
% 192.18/192.00 (~E(f317(a102,x117971),x117971)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11806,plain,
% 192.18/192.00 (~P2(f317(f317(f162(x118061),f103(x118061)),x118062))),
% 192.18/192.00 inference(rename_variables,[],[4621])).
% 192.18/192.00 cnf(11829,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a1),f317(f90(a1),x118291)),f2(a1)))),
% 192.18/192.00 inference(rename_variables,[],[4629])).
% 192.18/192.00 cnf(11832,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x118321),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(11833,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x118331),f317(a102,x118331)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(11836,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a1),f317(f90(a1),x118361)),f2(a1)))),
% 192.18/192.00 inference(rename_variables,[],[4629])).
% 192.18/192.00 cnf(11839,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x118391),x118392),f178(f910(x118391,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11840,plain,
% 192.18/192.00 (P2(f317(f317(f319(f910(x118401,a898)),x118402),f317(f298(x118401),x118402)))),
% 192.18/192.00 inference(rename_variables,[],[3798])).
% 192.18/192.00 cnf(11855,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x118551)),x118551))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(11856,plain,
% 192.18/192.00 (~E(f317(a102,x118561),x118561)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11866,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),f317(f317(f74(a903),x118661),x118662)),x118661))),
% 192.18/192.00 inference(rename_variables,[],[4638])).
% 192.18/192.00 cnf(11869,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a1),f317(f90(a1),x118691)),f2(a1)))),
% 192.18/192.00 inference(rename_variables,[],[4629])).
% 192.18/192.00 cnf(11872,plain,
% 192.18/192.00 (~E(f317(a102,x118721),x118721)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(11885,plain,
% 192.18/192.00 (P2(f317(f317(f319(x118851),x118852),f317(f317(f299(x118851),x118852),x118853)))),
% 192.18/192.00 inference(rename_variables,[],[3746])).
% 192.18/192.00 cnf(11886,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x118861)))))),
% 192.18/192.00 inference(rename_variables,[],[4639])).
% 192.18/192.00 cnf(11889,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),f317(f317(f3(a903),x118891),x118892)),f317(a102,x118891)))),
% 192.18/192.00 inference(rename_variables,[],[3884])).
% 192.18/192.00 cnf(11892,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),f41(a903,x118921,x118922)),x118921))),
% 192.18/192.00 inference(rename_variables,[],[3889])).
% 192.18/192.00 cnf(11903,plain,
% 192.18/192.00 (~E(f317(f317(f141(x119031),x119032),x119033),x119033)),
% 192.18/192.00 inference(rename_variables,[],[4594])).
% 192.18/192.00 cnf(11906,plain,
% 192.18/192.00 (E(f317(f317(f124(x119061),f159(x119061,x119062,x119063)),f159(x119061,x119064,x119063)),f317(f317(f124(x119061),f159(x119061,x119064,x119063)),f159(x119061,x119062,x119063)))),
% 192.18/192.00 inference(rename_variables,[],[3996])).
% 192.18/192.00 cnf(11909,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x119091)),x119091))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(11918,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x119181),x119181))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(11921,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),f41(a903,x119211,x119212)),x119211))),
% 192.18/192.00 inference(rename_variables,[],[3889])).
% 192.18/192.00 cnf(11922,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),f2(a903)),x119221))),
% 192.18/192.00 inference(rename_variables,[],[3462])).
% 192.18/192.00 cnf(11939,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x119391),x119391))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(11942,plain,
% 192.18/192.00 (P2(f317(f317(f319(x119421),f317(x119422,x119423)),f317(f300(x119424,x119421,x119422),f232(f910(x119424,a898)))))),
% 192.18/192.00 inference(rename_variables,[],[4032])).
% 192.18/192.00 cnf(11943,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x119431)),x119431))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(11946,plain,
% 192.18/192.00 (P2(f317(f317(f319(x119461),f317(x119462,x119463)),f317(f300(x119464,x119461,x119462),f232(f910(x119464,a898)))))),
% 192.18/192.00 inference(rename_variables,[],[4032])).
% 192.18/192.00 cnf(11947,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),f317(f317(f74(a903),x119471),x119472)),x119472))),
% 192.18/192.00 inference(rename_variables,[],[4637])).
% 192.18/192.00 cnf(11952,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),f317(f317(f74(a903),x119521),x119522)),x119521))),
% 192.18/192.00 inference(rename_variables,[],[4638])).
% 192.18/192.00 cnf(11955,plain,
% 192.18/192.00 (~P2(f317(f317(f162(x119551),f103(x119551)),x119552))),
% 192.18/192.00 inference(rename_variables,[],[4621])).
% 192.18/192.00 cnf(11958,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x119581),x119581))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(11966,plain,
% 192.18/192.00 (~P35(x119661,x119662,f103(x119661))),
% 192.18/192.00 inference(rename_variables,[],[4601])).
% 192.18/192.00 cnf(11969,plain,
% 192.18/192.00 (P2(f317(f317(f319(x119691),x119692),f232(f910(x119691,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3590])).
% 192.18/192.00 cnf(11970,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x119701)),x119701))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(11983,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x119831),x119832),f178(f910(x119831,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(11986,plain,
% 192.18/192.00 (E(f317(f317(f18(x119861,x119862),x119863),x119864),x119863)),
% 192.18/192.00 inference(rename_variables,[],[3432])).
% 192.18/192.00 cnf(11989,plain,
% 192.18/192.00 (E(f317(f317(f18(x119891,x119892),x119893),x119894),x119893)),
% 192.18/192.00 inference(rename_variables,[],[3432])).
% 192.18/192.00 cnf(12004,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x120041),x120041))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12007,plain,
% 192.18/192.00 (P2(f317(f29(x120071),f317(f162(x120071),x120072)))),
% 192.18/192.00 inference(rename_variables,[],[3481])).
% 192.18/192.00 cnf(12010,plain,
% 192.18/192.00 (P2(f317(f29(x120101),f317(f162(x120101),x120102)))),
% 192.18/192.00 inference(rename_variables,[],[3481])).
% 192.18/192.00 cnf(12013,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),f317(f73(a1),f317(f90(a1),x120131))),f317(f90(a1),x120132)))),
% 192.18/192.00 inference(rename_variables,[],[3913])).
% 192.18/192.00 cnf(12016,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x120161),x120162),f178(f910(x120161,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12037,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x120371),x120371))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12040,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x120401),f317(a102,x120401)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(12043,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x120431),x120431))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12054,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x120541),x120541))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12057,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x120571),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12062,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x120621),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12071,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),f2(a903)),x120711))),
% 192.18/192.00 inference(rename_variables,[],[3462])).
% 192.18/192.00 cnf(12072,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x120721)),x120721))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(12075,plain,
% 192.18/192.00 (~P2(f317(f317(f162(x120751),f103(x120751)),x120752))),
% 192.18/192.00 inference(rename_variables,[],[4621])).
% 192.18/192.00 cnf(12078,plain,
% 192.18/192.00 (~P2(f317(f317(f162(x120781),f103(x120781)),x120782))),
% 192.18/192.00 inference(rename_variables,[],[4621])).
% 192.18/192.00 cnf(12086,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x120861),f317(a102,x120861)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(12101,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x121011)),x121011))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(12104,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x121041)),x121041))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(12107,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x121071)),x121071))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(12110,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x121101)),x121101))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(12113,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x121131),x121131))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12116,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x121161),x121161))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12119,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x121191),x121191))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12122,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x121221),x121221))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12139,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x121391),x121391))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12142,plain,
% 192.18/192.00 (P25(a903,a903,a102,x121421)),
% 192.18/192.00 inference(rename_variables,[],[3642])).
% 192.18/192.00 cnf(12145,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x121451),x121451))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12156,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x121561),x121561))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12159,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(f909(f904(x121591),f904(x121591)),a898)),f148(x121591,x121592)),f297(f904(x121591),f147(x121591,x121592))))),
% 192.18/192.00 inference(rename_variables,[],[4127])).
% 192.18/192.00 cnf(12166,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x121661),f317(a102,x121661)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(12169,plain,
% 192.18/192.00 (P2(f317(f317(f319(f910(x121691,a898)),x121692),f317(f298(x121691),x121692)))),
% 192.18/192.00 inference(rename_variables,[],[3798])).
% 192.18/192.00 cnf(12170,plain,
% 192.18/192.00 (~E(f317(a102,x121701),x121701)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12175,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x121751),x121751))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12180,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x121801),x121801))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12187,plain,
% 192.18/192.00 (P2(f317(f29(a903),f295(a903,x121871,x121872)))),
% 192.18/192.00 inference(rename_variables,[],[3645])).
% 192.18/192.00 cnf(12194,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x121941,a898)),x121942),f317(f317(f299(x121941),x121943),x121942)))),
% 192.18/192.00 inference(rename_variables,[],[3879])).
% 192.18/192.00 cnf(12197,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x121971),x121971))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12198,plain,
% 192.18/192.00 (~E(f317(a102,x121981),x121981)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12211,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x122111),x122111))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12212,plain,
% 192.18/192.00 (~E(f317(a102,x122121),x122121)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12215,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x122151),x122151))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12218,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x122181),x122181))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12221,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x122211),x122211))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12224,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x122241),x122241))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12227,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x122271),x122271))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12230,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x122301),x122301))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12233,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x122331),x122331))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12234,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x122341),f317(a102,x122341)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(12241,plain,
% 192.18/192.00 (~E(f317(a102,x122411),x122411)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12246,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x122461),x122461))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12247,plain,
% 192.18/192.00 (~E(f317(a102,x122471),x122471)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12250,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x122501),x122501))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12267,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x122671),x122671))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(12272,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),f2(a903)),x122721))),
% 192.18/192.00 inference(rename_variables,[],[3462])).
% 192.18/192.00 cnf(12288,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x122881),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12291,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x122911),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12294,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x122941),x122942),f178(f910(x122941,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12297,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x122971),x122972),f178(f910(x122971,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12300,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x123001),x123001))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12303,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x123031),x123031))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12306,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x123061),x123061))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12309,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x123091),x123091))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12312,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x123121),f317(a102,x123121)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(12319,plain,
% 192.18/192.00 (P2(f317(f317(f319(f910(x123191,a898)),x123192),f317(f298(x123191),x123192)))),
% 192.18/192.00 inference(rename_variables,[],[3798])).
% 192.18/192.00 cnf(12324,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x123241,a898)),x123242),f317(f317(f299(x123241),x123243),x123242)))),
% 192.18/192.00 inference(rename_variables,[],[3879])).
% 192.18/192.00 cnf(12331,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x123311),x123312),f178(f910(x123311,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12340,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x123401,a898)),x123402),f232(f910(x123401,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(12341,plain,
% 192.18/192.00 (~E(f317(a102,x123411),x123411)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12347,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x123471),f317(a102,x123471)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(12356,plain,
% 192.18/192.00 (E(f317(f274(x123561,x123561),f253(x123561,x123562)),x123562)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12367,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x123671)),x123671))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(12368,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x123681),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12373,plain,
% 192.18/192.00 (P2(f317(f29(x123731),f178(f910(x123731,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3515])).
% 192.18/192.00 cnf(12374,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x123741),x123742),f178(f910(x123741,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12381,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x123811,a898)),f317(f162(x123811),f166(x123811,x123812,x123813))),f317(f162(x123811),x123812)))),
% 192.18/192.00 inference(rename_variables,[],[4122])).
% 192.18/192.00 cnf(12384,plain,
% 192.18/192.00 (P25(x123841,x123841,f7(x123841),x123842)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12389,plain,
% 192.18/192.00 (P2(f317(f317(f319(f910(x123891,a898)),x123892),f317(f298(x123891),x123892)))),
% 192.18/192.00 inference(rename_variables,[],[3798])).
% 192.18/192.00 cnf(12396,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x123961),x123961))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12399,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x123991),x123992),f178(f910(x123991,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12402,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x124021,a898)),x124022),f317(f317(f299(x124021),x124023),x124022)))),
% 192.18/192.00 inference(rename_variables,[],[3879])).
% 192.18/192.00 cnf(12403,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x124031,a898)),x124032),f232(f910(x124031,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(12410,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x124101),x124101))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12413,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x124131),x124131))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12416,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x124161),x124161))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12419,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x124191),x124191))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12422,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x124221),f317(a102,x124221)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(12425,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x124251),f317(a102,x124251)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(12428,plain,
% 192.18/192.00 (P2(f317(f317(f277(a903),x124281),x124281))),
% 192.18/192.00 inference(rename_variables,[],[3443])).
% 192.18/192.00 cnf(12431,plain,
% 192.18/192.00 (P2(f317(f317(f277(a903),x124311),x124311))),
% 192.18/192.00 inference(rename_variables,[],[3443])).
% 192.18/192.00 cnf(12434,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x124341,a898)),x124342),x124342))),
% 192.18/192.00 inference(rename_variables,[],[3730])).
% 192.18/192.00 cnf(12441,plain,
% 192.18/192.00 (P2(f317(f317(f319(f910(x124411,a898)),x124412),f317(f298(x124411),x124412)))),
% 192.18/192.00 inference(rename_variables,[],[3798])).
% 192.18/192.00 cnf(12450,plain,
% 192.18/192.00 (~E(f317(a102,x124501),x124501)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12451,plain,
% 192.18/192.00 (E(f317(f300(x124511,x124511,f7(x124511)),x124512),x124512)),
% 192.18/192.00 inference(rename_variables,[],[3496])).
% 192.18/192.00 cnf(12454,plain,
% 192.18/192.00 (P32(x124541,x124542,f103(x124541),f103(x124541))),
% 192.18/192.00 inference(rename_variables,[],[3683])).
% 192.18/192.00 cnf(12457,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x124571,a898)),f317(f162(x124571),f166(x124571,x124572,x124573))),f317(f162(x124571),x124572)))),
% 192.18/192.00 inference(rename_variables,[],[4122])).
% 192.18/192.00 cnf(12458,plain,
% 192.18/192.00 (P2(f317(f29(x124581),f317(f162(x124581),x124582)))),
% 192.18/192.00 inference(rename_variables,[],[3481])).
% 192.18/192.00 cnf(12469,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x124691),x124691))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12472,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x124721),x124721))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12477,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),f2(a903)),x124771))),
% 192.18/192.00 inference(rename_variables,[],[3462])).
% 192.18/192.00 cnf(12484,plain,
% 192.18/192.00 (P14(a903,f317(f158(a903),f317(f317(f144(f904(x124841),a903),f179(f904(x124841))),f169(x124841,x124842))))),
% 192.18/192.00 inference(rename_variables,[],[3992])).
% 192.18/192.00 cnf(12487,plain,
% 192.18/192.00 (P25(x124871,x124871,f7(x124871),x124872)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12490,plain,
% 192.18/192.00 (P25(x124901,x124901,f7(x124901),x124902)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12493,plain,
% 192.18/192.00 (P2(f317(f317(f319(f904(x124931)),f103(x124931)),f151(x124931,x124932)))),
% 192.18/192.00 inference(rename_variables,[],[3634])).
% 192.18/192.00 cnf(12496,plain,
% 192.18/192.00 (~P2(f317(f317(f178(f910(x124961,f910(x124962,a898))),x124963),x124964))),
% 192.18/192.00 inference(rename_variables,[],[4640])).
% 192.18/192.00 cnf(12501,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x125011),x125011))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12502,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),f2(a903)),x125021))),
% 192.18/192.00 inference(rename_variables,[],[3462])).
% 192.18/192.00 cnf(12505,plain,
% 192.18/192.00 (~P2(f317(f317(f178(f910(x125051,f910(x125052,a898))),x125053),x125054))),
% 192.18/192.00 inference(rename_variables,[],[4640])).
% 192.18/192.00 cnf(12508,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(f909(f904(x125081),f904(x125081)),a898)),f148(x125081,x125082)),f297(f904(x125081),f147(x125081,x125082))))),
% 192.18/192.00 inference(rename_variables,[],[4127])).
% 192.18/192.00 cnf(12514,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x125141,a898)),f317(f300(x125142,x125141,x125143),f317(f301(x125142,x125141,x125143),x125144))),x125144))),
% 192.18/192.00 inference(rename_variables,[],[4302])).
% 192.18/192.00 cnf(12517,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x125171,a898)),f317(f162(x125171),f166(x125171,x125172,x125173))),f317(f162(x125171),x125172)))),
% 192.18/192.00 inference(rename_variables,[],[4122])).
% 192.18/192.00 cnf(12518,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x125181,a898)),f317(f162(x125181),f317(f126(x125181,x125182),x125183))),f317(f162(x125181),x125183)))),
% 192.18/192.00 inference(rename_variables,[],[4075])).
% 192.18/192.00 cnf(12521,plain,
% 192.18/192.00 (~P2(f317(f317(f227(f910(x125211,a898)),x125212),f178(f910(x125211,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4633])).
% 192.18/192.00 cnf(12529,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x125291,a898)),f317(f300(x125292,x125291,x125293),f317(f301(x125292,x125291,x125293),x125294))),x125294))),
% 192.18/192.00 inference(rename_variables,[],[4302])).
% 192.18/192.00 cnf(12534,plain,
% 192.18/192.00 (P2(f317(f317(f319(f904(x125341)),f103(x125341)),f151(x125341,x125342)))),
% 192.18/192.00 inference(rename_variables,[],[3634])).
% 192.18/192.00 cnf(12537,plain,
% 192.18/192.00 (~P2(f317(f317(f319(f909(f904(x125371),f904(x125371))),f317(f317(f242(f904(x125371),f904(x125371)),x125372),f103(x125371))),f135(x125371,x125373)))),
% 192.18/192.00 inference(rename_variables,[],[4642])).
% 192.18/192.00 cnf(12540,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x125401),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12542,plain,
% 192.18/192.00 (~P2(f317(f29(x125421),f232(f910(x125421,a898))))),
% 192.18/192.00 inference(scs_inference,[],[3674,11323,12384,12487,3683,3690,3412,4600,4601,3311,3314,4599,4581,10409,10419,10432,10443,10547,10550,10553,10655,10790,11100,11293,11296,11315,11318,11511,11612,11619,11633,11679,11682,11715,11730,11797,11856,11872,12170,12198,12212,12241,12247,12341,3642,3362,4587,10639,10739,11203,3053,3054,3058,3059,3062,3063,3065,3066,3067,3073,3081,3087,3090,3105,3114,3117,3118,3121,3122,3127,3133,3169,3173,3177,3178,3180,3183,3192,3210,3211,3213,3215,3220,3221,3229,3238,4579,3996,3287,11609,3402,10478,10481,10574,10577,10896,11624,11627,11741,11784,11789,3373,3379,3388,3891,4192,3277,3636,3982,11655,3339,3273,3301,3296,3284,3285,3903,3321,3496,11050,11177,3372,4064,4594,10469,10636,11508,11770,11773,3432,11986,4623,11229,11328,11564,11567,3543,3336,10539,10869,3337,3595,3255,3358,11645,4206,4066,11249,11380,11439,4642,11152,11393,11502,11528,11572,11578,4643,11282,11396,11505,4644,11399,4645,11457,4646,3357,3634,12493,12534,3797,4477,4478,4592,3734,3946,3992,3620,3874,3507,10558,10678,10756,10829,10832,10872,10975,11219,11833,12040,12086,12166,12234,12312,12347,12422,3884,11889,3425,3519,11714,3696,4618,10446,10449,10475,10599,10774,10983,10998,11110,11550,11648,11832,12057,12062,12288,12291,12368,4629,11757,11792,11829,11836,11869,3871,3643,3645,4014,3469,3471,3444,4615,4589,3627,4630,4199,11525,3756,3481,12007,12010,4621,10437,10440,10607,10702,10721,10728,10751,10759,10762,10779,10968,11206,11419,11708,11806,11955,12075,4168,4127,12159,12508,4075,10887,4122,11255,12381,12457,3798,11840,12169,12319,12389,12441,4156,3815,10602,10699,11252,11333,11412,11476,12340,4633,11001,11404,3441,10567,10665,10815,10879,10957,11004,11007,11038,11058,11094,11132,11171,11958,12004,12139,12197,12215,12218,12221,12224,12396,12410,12413,12416,12419,3442,10594,10650,10884,10978,11097,11733,12037,12043,12054,12145,12156,12175,12180,12227,12250,3443,12428,3515,12373,4614,10486,10515,11022,11061,11070,11918,11939,12113,12116,12119,12122,12211,12230,12233,12246,12300,12303,12306,12309,12469,3590,10744,10835,11105,11149,11383,11386,11465,11547,11718,11969,4625,11031,11141,11162,11165,11232,11235,11246,11349,11357,11371,11407,11424,11433,11473,11514,11519,11522,11541,11544,11581,11586,11589,11592,11595,11839,11983,12016,12294,12297,12331,12374,3500,10866,10899,10908,10911,10914,3539,3532,3950,3889,10518,11892,11921,4622,10466,10854,10857,11352,11368,11855,11909,11943,11970,12072,12101,12104,12107,12110,12367,3462,10902,11055,11125,11922,12071,12272,12477,3913,4247,4619,3924,3958,4606,4609,3418,3422,4608,4607,3746,4341,4636,10765,10768,4641,11238,11241,11427,11538,11555,4032,11598,11942,3879,11168,11174,11192,12194,12324,3730,11308,11430,12434,3881,10905,11271,11436,11470,3591,3697,10818,10821,10917,11081,4639,11886,4640,10658,10771,12496,4302,11041,12514,4210,3912,3857,4637,10491,10494,10860,10863,11754,4638,11866,3882,10824,3883,4142,4653,4679,4734,4738,4762,4777,4784,4786,4822,4827,4856,4862,4948,4975,4976,4991,5045,5046,5069,5070,5084,5088,5113,5119,5135,5139,5140,5141,5146,5147,5170,5195,5197,5198,5208,5213,5219,5255,5256,5264,5272,5276,5278,5292,5295,5301,5306,5307,5320,5326,5329,5330,5334,5362,5377,5386,5388,5389,5393,5394,5395,5405,5407,5414,5415,5416,5422,5426,5427,5428,5437,5441,5442,5448,5461,5469,5482,5484,5492,5494,5495,5498,5502,5529,5543,5544,5559,5571,5593,5599,5623,5624,5627,5646,5654,5655,5660,5661,5671,5673,5686,5690,5699,5700,5702,5703,5719,5724,5733,5734,5745,5752,5766,5770,5773,5779,5780,5781,5784,5789,5825,5826,5829,5831,5833,5835,5836,5837,5839,5841,5843,5848,5855,5870,5884,5890,5891,5903,5914,5915,5922,5926,5928,5933,5941,5979,5994,6003,6006,6016,6020,6021,6022,6023,6024,6029,6034,6044,6050,6068,6072,6081,6110,6126,6152,6169,6170,6173,6187,6189,6191,6193,6208,6209,6212,6214,6217,6218,6235,6243,6244,6245,6247,6249,6286,6287,6293,6296,6302,6306,6341,6343,6345,6347,6357,6359,6362,6368,6370,6375,6378,6386,6392,6395,6397,6398,6405,6428,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6497,6532,6533,6542,6563,6564,6589,6591,6603,6604,6610,6640,6642,6657,6697,6700,6701,6757,6780,6824,6839,6847,6856,6857,6858,6859,6879,6880,6887,6899,6902,6904,6906,6907,6908,6910,6924,6935,6936,6937,6950,7005,7017,7019,7042,7043,7079,7086,7122,7152,7208,7237,7294,7315,7322,7325,7385,7395,7458,7460,7474,7483,7484,7485,7502,7506,7508,7555,7565,7568,7582,7629,7632,7635,7679,7680,7698,7768,7786,7810,7834,7846,7860,7871,7882,7883,7910,7912,7914,7924,7962,7973,7998,8025,8058,8089,8122,8161,8177,8179,8195,8196,8263,8274,8339,8364,8383,8410,8449,8450,8467,8507,8509,8511,8518,8534,8538,8553,8574,8582,8584,8594,8599,8603,8604,8605,8606,8607,8608,8627,8642,8643,8661,8663,8667,8668,8669,8670,8671,8689,8690,8691,8701,8714,8717,8728,8733,8735,8737,8738,8739,8746,8752,8760,8763,8780,8781,8790,8791,8799,8818,8831,8835,8856,8878,8879,8882,8883,8889,8898,8899,8922,8933,8943,8944,8945,8948,8971,8972,8983,9032,9042,9044,9060,9072,9073,9074,9085,9149,9180,9181,9182,9197,9214,9222,9250,9251,9320,9355,9361,9371,9372,9373,9382,9413,9429,9433,9437,9459,9460,9487,9551,9556,9559,9596,9597,9598,9626,9627,9643,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9845,9846,9857,9858,9884,9902,9904,9905,9913,9918,9925,9949,9983,9985,9989,10039,10074,10084,10086,10090,10091,10093,10102,10103,10123,10128,10221,10313,10314,10315,10316,10375,10393,2,8,9,4666,4667,4685,4727,4729,4730,4753,4755,4756,4766,4811,4813,4861,4992,4993,5010,5034,5091,5092,5098,5099,5101,5103,5112,5115,5116,5124,5137,5138,5144,5165,5166,5184,5189,5190,5191,5192,5196,5204,5207,5214,5269,5274,5275,5280,5286,5317,5327,5332,5342,5359,5361,5368,5369,5371,5382,5401,5403,5404,5411,5419,5420,5429,5433,5434,5435,5436,5438,5439,5444,5445,5446,5447,5478,5479,5480,5488,5489,5490,5491,5535,5540,5542,5578,5580,5581,5583,5584,5586,5587,5589,5598,5603,5605,5606,5607,5609,5611,5612,5613,5614,5615,5616,5625,5635,5638,5649,5665,5666,5669,5679,5682,5683,5684,5711,5721,5736,5737,5746,5748,5749,5751,5756,5791,5796,5798,5857,5892,5893,5907,5913,5916,5917,5918,5919,5938,5942,5943,5952,5974,6008,6027,6028,6032,6033,6035,6058,6062,6065,6066,6067,6083,6094,6095,6128,6129,6133,6154,6157,6160,6181,6182,6210,6213,6222,6231,6233,6242,6246,6254,6255,6256,6257,6289,6290,6307,6361,6399,6401,6402,6425,6426,6433,6437,6438,6441,6455,6471,6492,6493,6498,6509,6512,6525,6545,6551,6553,6568,6569,6572,6573,6575,6577,6578,6579,6581,6583,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6794,6797,6816,6819,6840,6860,6873,6874,6875,6881,6895,6914,6916,6918,6920,6925,6931,6933,6947,6952,6953,6990,6991,6992,7008,7009,7011,7012,7032,7034,7049,7077,7100,7111,7113,7115,7117,7118,7149,7150,7151,7155,7156,7163,7164,7166,7168,7190,7199,7200,7211,7221,7261,7271,7277,7284,7295,7300,7302,7309,7329,7346,7367,7369,7388,7443,7444,7445,7447,7449,7453,7454,7459,7523,7551,7566,7581,7612,7616,7638,7663,7681,7684,7685,7695,7715,7717,7719,7721,7722,7723,7724,7725,7750,7776,7777,7809,7811,7812,7813,7819,7840,7857,7862,7868,7870,7878,7891,7892,7894,7915,7922,7943,8011,8012,8013,8061,8067,8068,8091,8092,8109,8110,8111,8168,8169,8198,8228,8237,8251,8266,8295,8299,8305])).
% 192.18/192.00 cnf(12543,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x125431,a898)),x125432),x125432))),
% 192.18/192.00 inference(rename_variables,[],[3730])).
% 192.18/192.00 cnf(12546,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x125461),x125462),f178(f910(x125461,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12549,plain,
% 192.18/192.00 (~P2(f317(f317(f178(f910(x125491,f910(x125492,a898))),x125493),x125494))),
% 192.18/192.00 inference(rename_variables,[],[4640])).
% 192.18/192.00 cnf(12552,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x125521,a898)),f317(f300(x125522,x125521,x125523),f317(f301(x125522,x125521,x125523),x125524))),x125524))),
% 192.18/192.00 inference(rename_variables,[],[4302])).
% 192.18/192.00 cnf(12553,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x125531,a898)),x125532),x125532))),
% 192.18/192.00 inference(rename_variables,[],[3730])).
% 192.18/192.00 cnf(12558,plain,
% 192.18/192.00 (E(f317(f274(x125581,x125581),f253(x125581,x125582)),x125582)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12561,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x125611,a898)),f317(f162(x125611),f166(x125611,x125612,x125613))),f317(f162(x125611),x125612)))),
% 192.18/192.00 inference(rename_variables,[],[4122])).
% 192.18/192.00 cnf(12562,plain,
% 192.18/192.00 (P2(f317(f29(x125621),f317(f162(x125621),x125622)))),
% 192.18/192.00 inference(rename_variables,[],[3481])).
% 192.18/192.00 cnf(12565,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x125651),x125651))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12568,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x125681),x125681))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12571,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x125711),x125711))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12582,plain,
% 192.18/192.00 (P25(x125821,x125821,f7(x125821),x125822)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12590,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x125901),x125902),f178(f910(x125901,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12593,plain,
% 192.18/192.00 (P2(f317(f317(f319(f909(x125931,x125931)),f317(f317(f242(x125931,x125931),x125932),x125932)),f297(x125931,x125933)))),
% 192.18/192.00 inference(rename_variables,[],[4066])).
% 192.18/192.00 cnf(12596,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x125961),x125962),f178(f910(x125961,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12599,plain,
% 192.18/192.00 (P2(f317(f317(f319(f909(x125991,x125991)),f317(f317(f242(x125991,x125991),x125992),x125992)),f297(x125991,x125993)))),
% 192.18/192.00 inference(rename_variables,[],[4066])).
% 192.18/192.00 cnf(12609,plain,
% 192.18/192.00 (~E(f317(f317(f141(x126091),x126092),x126093),x126093)),
% 192.18/192.00 inference(rename_variables,[],[4594])).
% 192.18/192.00 cnf(12616,plain,
% 192.18/192.00 (P2(f317(f317(f319(x126161),x126162),f232(f910(x126161,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3590])).
% 192.18/192.00 cnf(12617,plain,
% 192.18/192.00 (~E(f317(a102,x126171),x126171)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12620,plain,
% 192.18/192.00 (P2(f317(f317(f319(f904(x126201)),f103(x126201)),f151(x126201,x126202)))),
% 192.18/192.00 inference(rename_variables,[],[3634])).
% 192.18/192.00 cnf(12624,plain,
% 192.18/192.00 (P25(x126241,x126241,f7(x126241),x126242)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12627,plain,
% 192.18/192.00 (P2(f317(f317(f319(x126271),f317(x126272,x126273)),f317(f300(x126274,x126271,x126272),f232(f910(x126274,a898)))))),
% 192.18/192.00 inference(rename_variables,[],[4032])).
% 192.18/192.00 cnf(12628,plain,
% 192.18/192.00 (P25(x126281,x126281,f7(x126281),x126282)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12631,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x126311,a898)),f178(f910(x126311,a898))),x126312))),
% 192.18/192.00 inference(rename_variables,[],[3881])).
% 192.18/192.00 cnf(12632,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x126321,a898)),x126322),x126322))),
% 192.18/192.00 inference(rename_variables,[],[3730])).
% 192.18/192.00 cnf(12635,plain,
% 192.18/192.00 (P2(f317(f317(f319(x126351),f317(x126352,x126353)),f317(f300(x126354,x126351,x126352),f232(f910(x126354,a898)))))),
% 192.18/192.00 inference(rename_variables,[],[4032])).
% 192.18/192.00 cnf(12636,plain,
% 192.18/192.00 (P25(x126361,x126361,f7(x126361),x126362)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12639,plain,
% 192.18/192.00 (P2(f317(f317(f319(f909(f904(x126391),f904(x126391))),f317(f317(f242(f904(x126391),f904(x126391)),f103(x126391)),f103(x126391))),f148(x126391,x126392)))),
% 192.18/192.00 inference(rename_variables,[],[4206])).
% 192.18/192.00 cnf(12643,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x126431),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12651,plain,
% 192.18/192.00 (P51(x126511,f253(x126511,x126512))),
% 192.18/192.00 inference(rename_variables,[],[3315])).
% 192.18/192.00 cnf(12655,plain,
% 192.18/192.00 (E(f317(f300(x126551,x126551,f7(x126551)),x126552),x126552)),
% 192.18/192.00 inference(rename_variables,[],[3496])).
% 192.18/192.00 cnf(12660,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x126601,a898)),x126602),f232(f910(x126601,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(12664,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x126641),x126641))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12665,plain,
% 192.18/192.00 (~E(f317(a102,x126651),x126651)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12668,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x126681,a898)),f178(f910(x126681,a898))),x126682))),
% 192.18/192.00 inference(rename_variables,[],[3881])).
% 192.18/192.00 cnf(12671,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x126711),x126711))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12674,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x126741,a898)),x126742),x126742))),
% 192.18/192.00 inference(rename_variables,[],[3730])).
% 192.18/192.00 cnf(12679,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x126791,a898)),x126792),f317(f317(f299(x126791),x126793),x126792)))),
% 192.18/192.00 inference(rename_variables,[],[3879])).
% 192.18/192.00 cnf(12682,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x126821,a898)),x126822),x126822))),
% 192.18/192.00 inference(rename_variables,[],[3730])).
% 192.18/192.00 cnf(12683,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x126831),x126832),f178(f910(x126831,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12686,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x126861),x126862),f178(f910(x126861,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12695,plain,
% 192.18/192.00 (P25(x126951,x126951,f7(x126951),x126952)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12698,plain,
% 192.18/192.00 (E(f317(f179(f904(x126981)),f159(x126981,x126982,x126983)),x126982)),
% 192.18/192.00 inference(rename_variables,[],[3506])).
% 192.18/192.00 cnf(12701,plain,
% 192.18/192.00 (P26(x127011,x127011,f25(x127011),x127012,x127012)),
% 192.18/192.00 inference(rename_variables,[],[4090])).
% 192.18/192.00 cnf(12704,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x127041),x127041))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12705,plain,
% 192.18/192.00 (P2(f317(f232(f910(x127051,a898)),x127052))),
% 192.18/192.00 inference(rename_variables,[],[3500])).
% 192.18/192.00 cnf(12708,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x127081,a898)),f178(f910(x127081,a898))),x127082))),
% 192.18/192.00 inference(rename_variables,[],[3881])).
% 192.18/192.00 cnf(12711,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x127111),x127112),f178(f910(x127111,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12714,plain,
% 192.18/192.00 (P2(f317(f317(f319(x127141),f317(x127142,x127143)),f317(f300(x127144,x127141,x127142),f232(f910(x127144,a898)))))),
% 192.18/192.00 inference(rename_variables,[],[4032])).
% 192.18/192.00 cnf(12715,plain,
% 192.18/192.00 (P2(f317(f317(f319(f909(x127151,x127151)),f317(f317(f242(x127151,x127151),x127152),x127152)),f297(x127151,x127153)))),
% 192.18/192.00 inference(rename_variables,[],[4066])).
% 192.18/192.00 cnf(12718,plain,
% 192.18/192.00 (P2(f317(f317(f319(f909(x127181,x127181)),f317(f317(f242(x127181,x127181),x127182),x127182)),f297(x127181,x127183)))),
% 192.18/192.00 inference(rename_variables,[],[4066])).
% 192.18/192.00 cnf(12721,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x127211),x127211))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(12722,plain,
% 192.18/192.00 (P2(f317(f232(f910(x127221,a898)),x127222))),
% 192.18/192.00 inference(rename_variables,[],[3500])).
% 192.18/192.00 cnf(12725,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x127251,a898)),x127252),f232(f910(x127251,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(12726,plain,
% 192.18/192.00 (P26(x127261,x127261,f25(x127261),x127262,x127262)),
% 192.18/192.00 inference(rename_variables,[],[4090])).
% 192.18/192.00 cnf(12729,plain,
% 192.18/192.00 (P2(f317(f29(x127291),f317(f162(x127291),x127292)))),
% 192.18/192.00 inference(rename_variables,[],[3481])).
% 192.18/192.00 cnf(12736,plain,
% 192.18/192.00 (~P2(f317(f317(f178(f910(x127361,f910(x127362,a898))),x127363),x127364))),
% 192.18/192.00 inference(rename_variables,[],[4640])).
% 192.18/192.00 cnf(12742,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x127421,a898)),x127422),f232(f910(x127421,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(12745,plain,
% 192.18/192.00 (P2(f317(f317(f319(f909(x127451,x127451)),f317(f317(f242(x127451,x127451),x127452),x127452)),f297(x127451,x127453)))),
% 192.18/192.00 inference(rename_variables,[],[4066])).
% 192.18/192.00 cnf(12748,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),f317(f317(f74(a903),x127481),x127482)),x127482))),
% 192.18/192.00 inference(rename_variables,[],[4637])).
% 192.18/192.00 cnf(12749,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x127491),f317(a102,x127491)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(12752,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x127521,a898)),x127522),f232(f910(x127521,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(12755,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x127551,a898)),f178(f910(x127551,a898))),x127552))),
% 192.18/192.00 inference(rename_variables,[],[3881])).
% 192.18/192.00 cnf(12758,plain,
% 192.18/192.00 (E(f317(f274(x127581,x127581),f253(x127581,x127582)),x127582)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12769,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x127691),x127692),f178(f910(x127691,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12770,plain,
% 192.18/192.00 (P2(f317(f317(f319(f909(f904(x127701),f904(x127701))),f317(f317(f242(f904(x127701),f904(x127701)),f103(x127701)),f103(x127701))),f148(x127701,x127702)))),
% 192.18/192.00 inference(rename_variables,[],[4206])).
% 192.18/192.00 cnf(12775,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x127751),x127752),f178(f910(x127751,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12780,plain,
% 192.18/192.00 (P31(x127801,x127802,f103(x127801))),
% 192.18/192.00 inference(rename_variables,[],[3378])).
% 192.18/192.00 cnf(12783,plain,
% 192.18/192.00 (E(f317(f179(f904(x127831)),f159(x127831,x127832,x127833)),x127832)),
% 192.18/192.00 inference(rename_variables,[],[3506])).
% 192.18/192.00 cnf(12786,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x127861),x127862),f178(f910(x127861,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12792,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x127921),x127921))),
% 192.18/192.00 inference(rename_variables,[],[4614])).
% 192.18/192.00 cnf(12795,plain,
% 192.18/192.00 (P2(f317(f317(f319(x127951),x127952),f232(f910(x127951,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3590])).
% 192.18/192.00 cnf(12799,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x127991,a898)),x127992),x127992))),
% 192.18/192.00 inference(rename_variables,[],[3730])).
% 192.18/192.00 cnf(12802,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x128021),x128022),f178(f910(x128021,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(12805,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x128051)),x128052)))),
% 192.18/192.00 inference(rename_variables,[],[3912])).
% 192.18/192.00 cnf(12808,plain,
% 192.18/192.00 (~E(f317(a102,x128081),x128081)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(12810,plain,
% 192.18/192.00 (E(f317(f274(x128101,x128101),f253(x128101,x128102)),x128102)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12812,plain,
% 192.18/192.00 (E(f317(f274(x128121,x128121),f253(x128121,x128122)),x128122)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12816,plain,
% 192.18/192.00 (P37(x128161,f143(x128161,x128162))),
% 192.18/192.00 inference(rename_variables,[],[3311])).
% 192.18/192.00 cnf(12820,plain,
% 192.18/192.00 (E(f317(f274(x128201,x128201),f253(x128201,x128202)),x128202)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12822,plain,
% 192.18/192.00 (E(f317(f274(x128221,x128221),f253(x128221,x128222)),x128222)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12832,plain,
% 192.18/192.00 (E(f317(f274(x128321,x128321),f253(x128321,x128322)),x128322)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12834,plain,
% 192.18/192.00 (P25(x128341,x128341,f7(x128341),x128342)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12836,plain,
% 192.18/192.00 (P25(x128361,x128361,f7(x128361),x128362)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(12843,plain,
% 192.18/192.00 (P52(x128431,x128432,f253(x128431,x128432))),
% 192.18/192.00 inference(rename_variables,[],[3411])).
% 192.18/192.00 cnf(12845,plain,
% 192.18/192.00 (P52(x128451,x128452,f253(x128451,x128452))),
% 192.18/192.00 inference(rename_variables,[],[3411])).
% 192.18/192.00 cnf(12847,plain,
% 192.18/192.00 (P52(x128471,x128472,f253(x128471,x128472))),
% 192.18/192.00 inference(rename_variables,[],[3411])).
% 192.18/192.00 cnf(12852,plain,
% 192.18/192.00 (P38(x128521,f253(x128521,x128522))),
% 192.18/192.00 inference(rename_variables,[],[3312])).
% 192.18/192.00 cnf(12857,plain,
% 192.18/192.00 (P51(x128571,f253(x128571,x128572))),
% 192.18/192.00 inference(rename_variables,[],[3315])).
% 192.18/192.00 cnf(12864,plain,
% 192.18/192.00 (P54(x128641,x128641,f253(x128641,x128642))),
% 192.18/192.00 inference(rename_variables,[],[3412])).
% 192.18/192.00 cnf(12870,plain,
% 192.18/192.00 (P26(x128701,x128701,f25(x128701),x128702,x128702)),
% 192.18/192.00 inference(rename_variables,[],[4090])).
% 192.18/192.00 cnf(12872,plain,
% 192.18/192.00 (P26(x128721,x128721,f25(x128721),x128722,x128722)),
% 192.18/192.00 inference(rename_variables,[],[4090])).
% 192.18/192.00 cnf(12874,plain,
% 192.18/192.00 (P26(x128741,x128741,f25(x128741),x128742,x128742)),
% 192.18/192.00 inference(rename_variables,[],[4090])).
% 192.18/192.00 cnf(12879,plain,
% 192.18/192.00 (E(f317(f274(x128791,x128791),f253(x128791,x128792)),x128792)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12881,plain,
% 192.18/192.00 (P55(x128811,f178(f910(x128811,a898)),x128812)),
% 192.18/192.00 inference(rename_variables,[],[3460])).
% 192.18/192.00 cnf(12888,plain,
% 192.18/192.00 (E(f317(f274(x128881,x128881),f253(x128881,x128882)),x128882)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12892,plain,
% 192.18/192.00 (E(f317(f274(x128921,x128921),f253(x128921,x128922)),x128922)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12900,plain,
% 192.18/192.00 (E(f178(f910(f909(x129001,x129001),a898)),f253(x129001,f178(f910(x129001,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3510])).
% 192.18/192.00 cnf(12906,plain,
% 192.18/192.00 (E(f317(f274(x129061,x129061),f253(x129061,x129062)),x129062)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12913,plain,
% 192.18/192.00 (E(f178(f910(f909(x129131,x129131),a898)),f253(x129131,f178(f910(x129131,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3510])).
% 192.18/192.00 cnf(12915,plain,
% 192.18/192.00 (E(f178(f910(f909(x129151,x129151),a898)),f253(x129151,f178(f910(x129151,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3510])).
% 192.18/192.00 cnf(12921,plain,
% 192.18/192.00 (P32(x129211,x129212,f103(x129211),f103(x129211))),
% 192.18/192.00 inference(rename_variables,[],[3683])).
% 192.18/192.00 cnf(12923,plain,
% 192.18/192.00 (P32(x129231,x129232,f103(x129231),f103(x129231))),
% 192.18/192.00 inference(rename_variables,[],[3683])).
% 192.18/192.00 cnf(12932,plain,
% 192.18/192.00 (P42(x129321,x129322,x129323,x129324,f178(f910(x129321,a898)),x129324)),
% 192.18/192.00 inference(rename_variables,[],[4363])).
% 192.18/192.00 cnf(12939,plain,
% 192.18/192.00 (P15(x129391,f910(x129391,a898),f299(x129391))),
% 192.18/192.00 inference(rename_variables,[],[3415])).
% 192.18/192.00 cnf(12943,plain,
% 192.18/192.00 (E(f317(f274(x129431,x129431),f253(x129431,x129432)),x129432)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(12954,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x129541),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12963,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a1),f317(f90(a1),x129631)),f317(f73(a1),f317(f90(a1),x129632))))),
% 192.18/192.00 inference(rename_variables,[],[4634])).
% 192.18/192.00 cnf(12973,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x129731),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12976,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x129761),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(12979,plain,
% 192.18/192.00 (P2(f317(f29(a903),f295(a903,x129791,x129792)))),
% 192.18/192.00 inference(rename_variables,[],[3645])).
% 192.18/192.00 cnf(12982,plain,
% 192.18/192.00 (P2(f317(f29(a903),f295(a903,x129821,x129822)))),
% 192.18/192.00 inference(rename_variables,[],[3645])).
% 192.18/192.00 cnf(12985,plain,
% 192.18/192.00 (P2(f317(f29(a903),f295(a903,x129851,x129852)))),
% 192.18/192.00 inference(rename_variables,[],[3645])).
% 192.18/192.00 cnf(12988,plain,
% 192.18/192.00 (P2(f317(f29(a903),f295(a903,x129881,x129882)))),
% 192.18/192.00 inference(rename_variables,[],[3645])).
% 192.18/192.00 cnf(12995,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),f317(f73(a1),f317(f90(a1),x129951))),f317(f90(a1),x129952)))),
% 192.18/192.00 inference(rename_variables,[],[3913])).
% 192.18/192.00 cnf(13000,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x130001),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(13001,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x130011),x130011))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13008,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x130081),f317(a102,x130081)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(13015,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x130151),x130151))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(13018,plain,
% 192.18/192.00 (P2(f317(f29(a903),f295(a903,x130181,x130182)))),
% 192.18/192.00 inference(rename_variables,[],[3645])).
% 192.18/192.00 cnf(13024,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x130241),x130241))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13041,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),f41(a903,x130411,x130412)),x130411))),
% 192.18/192.00 inference(rename_variables,[],[3889])).
% 192.18/192.00 cnf(13046,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x130461),f317(a102,x130461)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(13049,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x130491),f317(a102,x130491)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(13050,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x130501),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(13059,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a1),f317(f90(a1),x130591)),f2(a1)))),
% 192.18/192.00 inference(rename_variables,[],[4629])).
% 192.18/192.00 cnf(13060,plain,
% 192.18/192.00 (P2(f317(f232(f910(x130601,a898)),x130602))),
% 192.18/192.00 inference(rename_variables,[],[3500])).
% 192.18/192.00 cnf(13063,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a1),f317(f90(a1),x130631)),f2(a1)))),
% 192.18/192.00 inference(rename_variables,[],[4629])).
% 192.18/192.00 cnf(13064,plain,
% 192.18/192.00 (P2(f317(f232(f910(x130641,a898)),x130642))),
% 192.18/192.00 inference(rename_variables,[],[3500])).
% 192.18/192.00 cnf(13067,plain,
% 192.18/192.00 (P2(f317(f232(f910(x130671,a898)),x130672))),
% 192.18/192.00 inference(rename_variables,[],[3500])).
% 192.18/192.00 cnf(13070,plain,
% 192.18/192.00 (P2(f317(f232(f910(x130701,a898)),x130702))),
% 192.18/192.00 inference(rename_variables,[],[3500])).
% 192.18/192.00 cnf(13078,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x130781),x130782),f178(f910(x130781,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(13079,plain,
% 192.18/192.00 (P2(f317(f29(x130791),f178(f910(x130791,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3515])).
% 192.18/192.00 cnf(13082,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x130821),x130821))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13094,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x130941),x130942),f178(f910(x130941,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(13097,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x130971),x130972),f178(f910(x130971,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(13102,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x131021),x131021))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13110,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x131101),f317(a102,x131101)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(13113,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x131131),x131131))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13118,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x131181),x131181))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13121,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x131211),x131211))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13124,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x131241),x131241))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13127,plain,
% 192.18/192.00 (E(f317(f317(f3(f910(x131271,a898)),f178(f910(x131271,a898))),x131272),f178(f910(x131271,a898)))),
% 192.18/192.00 inference(rename_variables,[],[3701])).
% 192.18/192.00 cnf(13128,plain,
% 192.18/192.00 (P2(f317(f29(x131281),f178(f910(x131281,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3515])).
% 192.18/192.00 cnf(13131,plain,
% 192.18/192.00 (E(f317(f317(f3(f910(x131311,a898)),f178(f910(x131311,a898))),x131312),f178(f910(x131311,a898)))),
% 192.18/192.00 inference(rename_variables,[],[3701])).
% 192.18/192.00 cnf(13132,plain,
% 192.18/192.00 (P2(f317(f29(x131321),f178(f910(x131321,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3515])).
% 192.18/192.00 cnf(13135,plain,
% 192.18/192.00 (E(f317(f317(f3(f910(x131351,a898)),f178(f910(x131351,a898))),x131352),f178(f910(x131351,a898)))),
% 192.18/192.00 inference(rename_variables,[],[3701])).
% 192.18/192.00 cnf(13136,plain,
% 192.18/192.00 (P2(f317(f29(x131361),f178(f910(x131361,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3515])).
% 192.18/192.00 cnf(13139,plain,
% 192.18/192.00 (E(f317(f317(f3(f910(x131391,a898)),f178(f910(x131391,a898))),x131392),f178(f910(x131391,a898)))),
% 192.18/192.00 inference(rename_variables,[],[3701])).
% 192.18/192.00 cnf(13140,plain,
% 192.18/192.00 (P2(f317(f29(x131401),f178(f910(x131401,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3515])).
% 192.18/192.00 cnf(13144,plain,
% 192.18/192.00 (E(f317(f274(x131441,x131441),f253(x131441,x131442)),x131442)),
% 192.18/192.00 inference(rename_variables,[],[3402])).
% 192.18/192.00 cnf(13149,plain,
% 192.18/192.00 (E(f317(f317(f3(f910(x131491,a898)),f178(f910(x131491,a898))),x131492),f178(f910(x131491,a898)))),
% 192.18/192.00 inference(rename_variables,[],[3701])).
% 192.18/192.00 cnf(13150,plain,
% 192.18/192.00 (P2(f317(f29(x131501),f178(f910(x131501,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3515])).
% 192.18/192.00 cnf(13154,plain,
% 192.18/192.00 (P2(f317(f29(x131541),f178(f910(x131541,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3515])).
% 192.18/192.00 cnf(13157,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x131571),x131571))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13161,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x131611),x131611))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(13168,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x131681),x131681))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13181,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x131811),x131811))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13184,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x131841),x131841))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(13195,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x131951),x131952),f178(f910(x131951,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(13206,plain,
% 192.18/192.00 (P2(f317(f317(f319(x132061),x132062),f232(f910(x132061,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3590])).
% 192.18/192.00 cnf(13207,plain,
% 192.18/192.00 (E(f317(f182(x132071,x132072),x132073),f111(x132071,x132072))),
% 192.18/192.00 inference(rename_variables,[],[3356])).
% 192.18/192.00 cnf(13210,plain,
% 192.18/192.00 (P2(f317(f317(f319(x132101),f317(x132102,x132103)),f317(f300(x132104,x132101,x132102),f232(f910(x132104,a898)))))),
% 192.18/192.00 inference(rename_variables,[],[4032])).
% 192.18/192.00 cnf(13214,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x132141,a898)),x132142),f232(f910(x132141,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(13223,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x132231),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(13224,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x132241),x132241))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(13228,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x132281),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(13229,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x132291),x132291))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(13234,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x132341),x132341))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13241,plain,
% 192.18/192.00 (E(f317(f317(f18(x132411,x132412),x132413),x132414),x132413)),
% 192.18/192.00 inference(rename_variables,[],[3432])).
% 192.18/192.00 cnf(13251,plain,
% 192.18/192.00 (~P2(f317(f317(f227(a903),x132511),f2(a903)))),
% 192.18/192.00 inference(rename_variables,[],[4618])).
% 192.18/192.00 cnf(13252,plain,
% 192.18/192.00 (P2(f317(f317(f226(a1),x132521),x132521))),
% 192.18/192.00 inference(rename_variables,[],[3442])).
% 192.18/192.00 cnf(13262,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x132621),x132621))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13265,plain,
% 192.18/192.00 (P2(f317(f317(f226(a903),x132651),x132651))),
% 192.18/192.00 inference(rename_variables,[],[3441])).
% 192.18/192.00 cnf(13268,plain,
% 192.18/192.00 (~P2(f317(f317(f226(a903),f317(a102,x132681)),x132681))),
% 192.18/192.00 inference(rename_variables,[],[4622])).
% 192.18/192.00 cnf(13274,plain,
% 192.18/192.00 (P2(f317(f317(f319(x132741),f317(x132742,x132743)),f317(f300(x132744,x132741,x132742),f232(f910(x132744,a898)))))),
% 192.18/192.00 inference(rename_variables,[],[4032])).
% 192.18/192.00 cnf(13275,plain,
% 192.18/192.00 (P25(x132751,x132751,f7(x132751),x132752)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(13280,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x132801,a898)),x132802),f232(f910(x132801,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(13281,plain,
% 192.18/192.00 (P25(x132811,x132811,f7(x132811),x132812)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(13285,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x132851,a898)),x132852),f232(f910(x132851,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(13286,plain,
% 192.18/192.00 (P25(x132861,x132861,f7(x132861),x132862)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(13290,plain,
% 192.18/192.00 (P25(x132901,x132901,f7(x132901),x132902)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(13293,plain,
% 192.18/192.00 (~P2(f317(f317(f227(f910(x132931,a898)),x132932),f178(f910(x132931,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4633])).
% 192.18/192.00 cnf(13296,plain,
% 192.18/192.00 (P25(x132961,x132961,f7(x132961),x132962)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(13299,plain,
% 192.18/192.00 (P25(x132991,x132991,f7(x132991),x132992)),
% 192.18/192.00 inference(rename_variables,[],[3674])).
% 192.18/192.00 cnf(13305,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x133051,a898)),x133052),f232(f910(x133051,a898))))),
% 192.18/192.00 inference(rename_variables,[],[3815])).
% 192.18/192.00 cnf(13318,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x133181),x133182),f178(f910(x133181,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(13337,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x133371),x133372),f178(f910(x133371,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(13345,plain,
% 192.18/192.00 (~E(f317(a102,x133451),x133451)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(13348,plain,
% 192.18/192.00 (P2(f317(f317(f227(a903),x133481),f317(a102,x133481)))),
% 192.18/192.00 inference(rename_variables,[],[3507])).
% 192.18/192.00 cnf(13349,plain,
% 192.18/192.00 (~E(f317(a102,x133491),x133491)),
% 192.18/192.00 inference(rename_variables,[],[4581])).
% 192.18/192.00 cnf(13355,plain,
% 192.18/192.00 (~E(f317(f317(f75(a903),f317(a102,f2(a903))),f109(x133551)),f317(f317(f75(a903),f317(a102,f2(a903))),f116(x133551,x133552,x133553)))),
% 192.18/192.00 inference(scs_inference,[],[4090,12701,12726,12870,12872,12874,3674,11323,12384,12487,12490,12582,12624,12628,12636,12695,12834,12836,13275,13281,13286,13290,13296,13299,3683,12454,12921,12923,3690,3411,12843,12845,12847,3412,12864,3378,12780,4600,4601,11966,4363,12932,3415,12939,3254,3311,12816,3312,12852,3313,3314,3315,12651,12857,4599,3732,4581,10409,10419,10432,10443,10547,10550,10553,10655,10790,11100,11293,11296,11315,11318,11511,11612,11619,11633,11679,11682,11715,11730,11797,11856,11872,12170,12198,12212,12241,12247,12341,12450,12617,12665,12808,13345,13349,3495,3460,12881,3642,12142,3362,4587,10639,10739,11203,3053,3054,3058,3059,3062,3063,3065,3066,3067,3073,3074,3075,3081,3087,3090,3105,3111,3114,3115,3117,3118,3121,3122,3127,3133,3144,3148,3149,3150,3162,3169,3170,3173,3177,3178,3180,3183,3185,3192,3196,3199,3210,3211,3212,3213,3215,3220,3221,3229,3234,4578,3238,3310,4579,3771,3996,11906,3287,11609,3423,3399,3402,10478,10481,10574,10577,10896,11624,11627,11741,11784,11789,12356,12558,12758,12810,12812,12820,12822,12832,12879,12888,12892,12906,12943,13144,3373,3379,3388,3891,4192,3356,13207,3506,12698,12783,3276,3277,3636,3982,11655,3339,3273,3301,3751,3296,3494,4099,3990,3813,3284,3285,3264,3903,3321,3496,11050,11177,12451,12655,3372,4064,4594,10469,10636,11508,11770,11773,11903,12609,4597,3432,11986,11989,13241,4022,4623,11229,11328,11564,11567,3407,3832,3429,3543,3757,4603,3510,12900,12913,12915,3336,10539,10869,3337,4612,3595,3329,3255,3358,11645,4206,12639,12770,4066,11249,11380,11439,12593,12599,12715,12718,12745,4642,11152,11393,11502,11528,11572,11578,12537,4643,11282,11396,11505,4644,11399,11450,4645,11457,4646,3357,3634,12493,12534,12620,3797,3583,4477,4478,3655,4592,11638,3775,3734,3777,3946,3701,13127,13131,13135,13139,13149,3992,12484,3620,3874,3507,10558,10678,10756,10829,10832,10872,10975,11219,11833,12040,12086,12166,12234,12312,12347,12422,12425,12749,13008,13046,13049,13110,13348,3884,11889,3425,3519,11714,3696,4618,10446,10449,10475,10599,10774,10983,10998,11110,11550,11648,11832,12057,12062,12288,12291,12368,12540,12643,12954,12973,12976,13000,13050,13223,13228,13251,4629,11757,11792,11829,11836,11869,13059,13063,3871,3643,3645,12187,12979,12982,12985,12988,13018,4014,3469,3471,3444,4615,3335,4589,4128,3627,4630,4199,11525,3756,3481,12007,12010,12458,12562,12729,4621,10437,10440,10607,10702,10721,10728,10751,10759,10762,10779,10968,11206,11419,11708,11806,11955,12075,12078,4168,4127,12159,12508,4075,10887,12518,4122,11255,12381,12457,12517,12561,3798,11840,12169,12319,12389,12441,4156,3815,10602,10699,11252,11333,11412,11476,12340,12403,12660,12725,12742,12752,13214,13280,13285,13305,4633,11001,11404,12521,13293,3441,10567,10665,10815,10879,10957,11004,11007,11038,11058,11094,11132,11171,11958,12004,12139,12197,12215,12218,12221,12224,12396,12410,12413,12416,12419,12501,12565,12671,12721,13001,13024,13082,13102,13113,13118,13121,13124,13157,13168,13181,13234,13262,13265,3442,10594,10650,10884,10978,11097,11733,12037,12043,12054,12145,12156,12175,12180,12227,12250,12267,13015,13161,13184,13224,13229,13252,3443,12428,12431,3515,12373,13079,13128,13132,13136,13140,13150,13154,4614,10486,10515,11022,11061,11070,11918,11939,12113,12116,12119,12122,12211,12230,12233,12246,12300,12303,12306,12309,12469,12472,12568,12571,12664,12704,12792,3590,10744,10835,11105,11149,11383,11386,11465,11547,11718,11969,12616,12795,13206,4625,11031,11141,11162,11165,11232,11235,11246,11349,11357,11371,11407,11424,11433,11473,11514,11519,11522,11541,11544,11581,11586,11589,11592,11595,11839,11983,12016,12294,12297,12331,12374,12399,12546,12590,12596,12683,12686,12711,12769,12775,12786,12802,13078,13094,13097,13195,13318,13337,3500,10866,10899,10908,10911,10914,11494,12705,12722,13060,13064,13067,13070,3539,3532,3950,3889,10518,11892,11921,13041,4622,10466,10854,10857,11352,11368,11855,11909,11943,11970,12072,12101,12104,12107,12110,12367,13268,3462,10902,11055,11125,11922,12071,12272,12477,12502,3913,12013,12995,4247,3649,4619,3924,3958,4606,4609,4610,3418,3422,4608,4607,4370,3746,11885,4341,11740,4636,10765,10768,4641,11238,11241,11427,11538,11555,11601,4032,11598,11942,11946,12627,12635,12714,13210,13274,3879,11168,11174,11192,12194,12324,12402,12679,3730,11308,11430,12434,12543,12553,12632,12674,12682,12799,4204,3881,10905,11271,11436,11470,11481,12631,12668,12708,12755,3591,3697,10818,10821,10917,11081,3699,4639,11886,4634,12963,4640,10658,10771,12496,12505,12549,12736,4302,11041,12514,12529,12552,4210,3912,12805,3857,3858,4637,10491,10494,10860,10863,11754,11947,12748,4638,11866,11952,3882,10824,11087,3883,4142,4653,4679,4734,4738,4762,4777,4784,4786,4822,4827,4856,4862,4948,4975,4976,4991,5045,5046,5069,5070,5084,5088,5113,5119,5135,5139,5140,5141,5146,5147,5170,5195,5197,5198,5208,5213,5219,5255,5256,5264,5272,5276,5278,5292,5295,5301,5306,5307,5320,5326,5329,5330,5334,5362,5377,5386,5388,5389,5393,5394,5395,5405,5407,5414,5415,5416,5422,5426,5427,5428,5437,5441,5442,5448,5461,5469,5482,5484,5492,5494,5495,5498,5502,5529,5543,5544,5559,5571,5593,5599,5623,5624,5627,5646,5654,5655,5660,5661,5671,5673,5686,5690,5699,5700,5702,5703,5719,5724,5733,5734,5745,5752,5766,5770,5773,5779,5780,5781,5784,5789,5825,5826,5829,5831,5833,5835,5836,5837,5839,5841,5843,5848,5855,5870,5884,5890,5891,5903,5914,5915,5922,5926,5928,5933,5941,5979,5994,6003,6006,6016,6020,6021,6022,6023,6024,6029,6034,6044,6050,6068,6072,6081,6110,6126,6152,6169,6170,6173,6187,6189,6191,6193,6208,6209,6212,6214,6217,6218,6235,6243,6244,6245,6247,6249,6286,6287,6293,6296,6302,6306,6341,6343,6345,6347,6357,6359,6362,6368,6370,6375,6378,6386,6392,6395,6397,6398,6405,6428,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6497,6532,6533,6542,6563,6564,6589,6591,6603,6604,6610,6640,6642,6657,6697,6700,6701,6757,6780,6824,6839,6847,6856,6857,6858,6859,6879,6880,6887,6899,6902,6904,6906,6907,6908,6910,6924,6935,6936,6937,6950,7005,7017,7019,7042,7043,7079,7086,7122,7152,7208,7237,7294,7315,7322,7325,7385,7395,7458,7460,7474,7483,7484,7485,7502,7506,7508,7555,7565,7568,7582,7629,7632,7635,7679,7680,7698,7768,7786,7810,7834,7846,7860,7871,7882,7883,7910,7912,7914,7924,7962,7973,7998,8025,8058,8089,8122,8161,8177,8179,8195,8196,8263,8274,8339,8364,8383,8410,8449,8450,8467,8507,8509,8511,8518,8534,8538,8553,8574,8582,8584,8594,8599,8603,8604,8605,8606,8607,8608,8627,8642,8643,8661,8663,8667,8668,8669,8670,8671,8689,8690,8691,8701,8714,8717,8728,8733,8735,8737,8738,8739,8746,8752,8760,8763,8780,8781,8790,8791,8799,8818,8831,8835,8856,8878,8879,8882,8883,8889,8898,8899,8922,8933,8943,8944,8945,8948,8971,8972,8983,9032,9042,9044,9060,9072,9073,9074,9085,9149,9180,9181,9182,9197,9214,9222,9250,9251,9320,9355,9361,9371,9372,9373,9382,9413,9429,9433,9437,9459,9460,9487,9551,9556,9559,9596,9597,9598,9626,9627,9643,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9845,9846,9857,9858,9884,9902,9904,9905,9913,9918,9925,9949,9983,9985,9989,10039,10074,10084,10086,10090,10091,10093,10102,10103,10123,10128,10221,10313,10314,10315,10316,10375,10393,2,8,9,4666,4667,4685,4727,4729,4730,4753,4755,4756,4766,4811,4813,4861,4992,4993,5010,5034,5091,5092,5098,5099,5101,5103,5112,5115,5116,5124,5137,5138,5144,5165,5166,5184,5189,5190,5191,5192,5196,5204,5207,5214,5269,5274,5275,5280,5286,5317,5327,5332,5342,5359,5361,5368,5369,5371,5382,5401,5403,5404,5411,5419,5420,5429,5433,5434,5435,5436,5438,5439,5444,5445,5446,5447,5478,5479,5480,5488,5489,5490,5491,5535,5540,5542,5578,5580,5581,5583,5584,5586,5587,5589,5598,5603,5605,5606,5607,5609,5611,5612,5613,5614,5615,5616,5625,5635,5638,5649,5665,5666,5669,5679,5682,5683,5684,5711,5721,5736,5737,5746,5748,5749,5751,5756,5791,5796,5798,5857,5892,5893,5907,5913,5916,5917,5918,5919,5938,5942,5943,5952,5974,6008,6027,6028,6032,6033,6035,6058,6062,6065,6066,6067,6083,6094,6095,6128,6129,6133,6154,6157,6160,6181,6182,6210,6213,6222,6231,6233,6242,6246,6254,6255,6256,6257,6289,6290,6307,6361,6399,6401,6402,6425,6426,6433,6437,6438,6441,6455,6471,6492,6493,6498,6509,6512,6525,6545,6551,6553,6568,6569,6572,6573,6575,6577,6578,6579,6581,6583,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6794,6797,6816,6819,6840,6860,6873,6874,6875,6881,6895,6914,6916,6918,6920,6925,6931,6933,6947,6952,6953,6990,6991,6992,7008,7009,7011,7012,7032,7034,7049,7077,7100,7111,7113,7115,7117,7118,7149,7150,7151,7155,7156,7163,7164,7166,7168,7190,7199,7200,7211,7221,7261,7271,7277,7284,7295,7300,7302,7309,7329,7346,7367,7369,7388,7443,7444,7445,7447,7449,7453,7454,7459,7523,7551,7566,7581,7612,7616,7638,7663,7681,7684,7685,7695,7715,7717,7719,7721,7722,7723,7724,7725,7750,7776,7777,7809,7811,7812,7813,7819,7840,7857,7862,7868,7870,7878,7891,7892,7894,7915,7922,7943,8011,8012,8013,8061,8067,8068,8091,8092,8109,8110,8111,8168,8169,8198,8228,8237,8251,8266,8295,8299,8305,8317,8335,8340,8363,8408,8437,8451,8471,8474,8500,8527,8585,8586,8589,8590,8659,8693,8694,8695,8696,8723,8755,8784,8792,8793,8834,8855,8900,8916,8962,8965,8980,8987,9029,9068,9102,9219,9224,9228,9248,9259,9282,9284,9287,9293,9295,9296,9307,9308,9327,9335,9346,9354,9398,9400,9417,9472,9473,9479,9518,9543,9588,9602,9606,9607,9611,9612,9625,9648,9661,9664,9673,9674,9676,9678,9707,9827,9828,9878,9879,9919,9954,10064,10132,10287,10305,10310,3,2782,2783,2785,2789,2790,2795,2802,2812,2813,2814,2815,2816,2817,2819,2820,2821,2822,2823,2824,2825,2827,2828,2829,2832,2833,2835,2837,2838,2841,2845,2846,2847,2853,2854,2855,2856,2857,2864,2872,2873,2875,2876,2877,2879,2883,2884,2887,2889,2890,2891,2892,2893,2900,2901,2902,2904,2912,2914,2924,2925,2927,2928,2940,2941,2943,2944,2968,2970,2971,2972,2974,2984,2985,2990,2993,2994,2995,2996,2998,3036,5358,5400,5551,5552,5553,5636,5735,5765,5799,5815,5817,5823,5885,5886,5887,5888,5905,5940,6078,6117,6127,6151,6185,6223,6377,6382,6423,6424,6446,6448,6450,6457,6458,6459,6460,6461,6462,6463,6464,6546,6620,6621,6710,6747,6748,6787,6788,6932,6946,7002,7021,7022,7028,7050,7083,7085,7089,7133,7153,7154,7172,7173,7210,7255,7256,7353,7422,7423,7424,7425,7442,7475,7528,7529,7537,7542,7543,7554,7584,7585,7586,7587,7731,7732,7734,7736,7742,7743,7817,7949,7952,7958,7959,7970,8008,8009,8087,8127,8181,8203,8204,8281,8376,8447,8448,8452,8486,8523,8549,8550,8617,8635,8636,8637,8638,8788,9046,9047,9116,9130,9183,9184,9304,9339,9366,9401,9442,9646,9770,9914,10101,10157,10159,5975,6530,6531,6623])).
% 192.18/192.00 cnf(13692,plain,
% 192.18/192.00 (~P2(f317(f317(f319(x136921),x136922),f178(f910(x136921,a898))))),
% 192.18/192.00 inference(rename_variables,[],[4625])).
% 192.18/192.00 cnf(13711,plain,
% 192.18/192.00 (P2(f317(f317(f226(f910(x137111,a898)),f317(f162(x137111),f166(x137111,x137112,x137113))),f317(f162(x137111),x137112)))),
% 192.18/192.00 inference(rename_variables,[],[4122])).
% 192.18/192.00 cnf(13718,plain,
% 192.18/192.00 ($false),
% 192.18/192.00 inference(scs_inference,[],[4206,3238,3443,4642,4625,13692,4122,13711,4637,13355,10789,12542,11441,3050,9,2,6879,7679,5386,10103,5330,8178,10128,8511,8898,5416,4762]),
% 192.18/192.00 ['proof']).
% 192.18/192.00 % SZS output end Proof
% 192.18/192.00 % Total time :171.580000s
%------------------------------------------------------------------------------